63 results

weight - the measure of how heavy an object is

25 boxes are loaded on a truck. If each box weighs 22 kg, what is the total weight of the load

25 boxes are loaded on a truck. If each box weighs 22 kg, what is the total weight of the load?
Total Weight = Number of boxes * weight per box
Total Weight = 25 * 22 kg
Total Weight = [B]550 kg[/B]

A box of pencils weights 3.25 grams. If the teacher orders 14 boxes, how much would the pencils weig

A box of pencils weights 3.25 grams. If the teacher orders 14 boxes, how much would the pencils weigh?
Total Weight = Number of Boxes * Weight per box
Total Weight = 14 * 3.25
Total Weight = [B]45.5 grams[/B]

A cantaloupe weighs 3.8 pounds. About how much do 5 cantaloupes weigh?

A cantaloupe weighs 3.8 pounds. About how much do 5 cantaloupes weigh?
Total Weight = Weight per cantaloupe * Total cantaloupes
Total Weight = 3.8 * 5
Total Weight = [B]19 pounds[/B]

A metal block is made of nickel and copper. The weight of metals in the block are in a ratio of 2:9.

A metal block is made of nickel and copper. The weight of metals in the block are in a ratio of 2:9. The weight of the block is 407 pounds. What is the weight of the nickel?
Using our [URL='https://www.mathcelebrity.com/ratio.php?simpratio=100%3A350&rs=2%3A9&rtot=407&pl=Calculate+Ratio']ratio calculator[/URL], we get:
[B]74 pounds[/B]

A Middleweight UFC fighter weighs between 170 lbs and 185 lbs.

A Middleweight UFC fighter weighs between 170 lbs and 185 lbs.
Let w be the UFC fighter's weight:
We have a compound inequality.
Right side includes 185 lbs. because between means includes 185lbs.
Left side includes 170 lbs. because between means includes 17lb0s
[B]170 <= w <= 185[/B]

A mother gives birth to a 10 pound baby. Every 2 months, the baby gains 5 pounds. If x is the age o

A mother gives birth to a 10 pound baby. Every 2 months, the baby gains 5 pounds. If x is the age of the baby in months, then y is the weight of the baby in pounds. Find an equation of a line in the form y = mx + b that describes the baby's weight.
If the baby gains 5 pounds every 2 months, then they gain 5/2 = 2.5 pounds per month. Let x be the number of months old for the baby, we have:
The baby starts at 10 pounds. And every month (x), the baby's weight increases 2.5 pounds. Our equation is:
[B]y = 2.5x + 10[/B]

A mother gives birth to a 6 pound baby. Every 4 months, the baby gains 4 pounds. If x is the age of

A mother gives birth to a 6 pound baby. Every 4 months, the baby gains 4 pounds. If x is the age of the baby in months, then y is the weight of the baby in pounds. Find an equation of a line in the form y = mx b that describes the baby's weight.
The baby gains 4 pounds every month, where x is the number of months since birth. The baby boy starts life (time 0) at 6 pounds. So we have
[B]y = 4x + 6[/B]

A mother gives birth to a 7 pound baby. Every 3 months, the baby gains 2 pounds. If x is the age of

A mother gives birth to a 7 pound baby. Every 3 months, the baby gains 2 pounds. If x is the age of the baby in months, then y is the weight of the baby in pounds. Find an equation of a line in the form y = mx + b that describes the baby's weight.
Every month, the baby gains 2/3 of a pound. So we have:
[B]y = 2/3x + 7
[/B]
The baby starts off with 7 pounds. So we add 7 pounds + 2/3 times the number of months passed since birth.

A package that is heavier than 11 lbs and 8 oz will have a label that says HEAVY on it. Gloria packe

A package that is heavier than 11 lbs and 8 oz will have a label that says HEAVY on it. Gloria packed 6 flowerpots to send to her customers. Each of the flowerpots weighs 1 lb and 12 oz. The packing material weighs 5 oz. Will her package be labeled as HEAVY?
Calculate weight of flowerpots:
Flowerpot weight = Weight per flowerpot * number of flowerpots
Flowerpot weight = 1 lb 12 oz * 6
Flowerpot weight = 6 lb and 72 oz
Since 72oz = 72/16 = 4 lbs and 8 oz, we have:
Flowerpot weight = 6 lb 8 oz + 4 lbs and 8 oz = 12 lb 16 oz
Since 16oz = 1 lb, we have:
13lb
Add in the 5 oz of packing material, we have:
13lb 5 oz
Since this is greater than 11lb 8oz, the package [B]will be labeled as HEAVY[/B]

A plain chocolate bar weights 40 grams. It contains 12 grams of fat. A milk chocolate bar is 30 gram

A plain chocolate bar weights 40 grams. It contains 12 grams of fat. A milk chocolate bar is 30 grams. It contains 10 grams of fat. Which chocolate bar has the highest proportion of fat?
Calculate the proportion of fat grams for each chocolate bar:
[LIST]
[*]Plain chocolate: 12/40 = 3/10 = 30%
[*]Milk chocolate: 10/30 = 1/3 = 33%
[/LIST]
[B]Milk chocolate[/B] has the higher proportion of fat grams.

A playground requires 2,459 pounds of sand to cover the ground. If the sand comes in 60-pound bags,

A playground requires 2,459 pounds of sand to cover the ground. If the sand comes in 60-pound bags, how many bags are needed
Number of bags = Total Weight of Sand / Pounds per bag
Number of bags = 2459/60
Number of bags = 40.9833

A Septon who visited Earth used an Earth scale and found that he weighed 125 pounds. He is horrified

A Septon who visited Earth used an Earth scale and found that he weighed 125 pounds. He is horrified that he lost so much weight. Translate 125 pounds base 10 into base 7.
Using our [URL='https://www.mathcelebrity.com/binary.php?num=125&check1=7&bchoice=7&pl=Convert']base change calculator[/URL], we see that:
125 = [B]236[/B] (in base 7)

A Septonian said that his exact weight is 250.346 pounds (base 7). Translate this into base 10.

A Septonian said that his exact weight is 250.346 pounds (base 7). Translate this into base 10.
Start the conversion:
2 * 7^2 + 5 * 7^1 + 0 * 7^0 + 3 * 1/7 + 4 * (1/7)^2 + 6 * (1/7)^3
2 * 49 + 5 * 7 + 0 * 1 + 3/7 + 4 * 1/49 + 6 * 1/343
98 + 35 + 3/7 + 4/49 + 6/343
[B]133 & 181/343[/B]

A shipping service charges $0.43 for the first ounce and $0.29 for each additional ounce of package

A shipping service charges $0.43 for the first ounce and $0.29 for each additional ounce of package weight. Write an equation to represent the price P of shipping a package that weighs x ounces, for any whole number of ounces greater than or equal to 1.
Set up the price function P(x)
[B]P(x) = 0.43 + 0.29(x - 1)[/B]

A toy factory makes 5,000 teddy bears per day. The supervisor randomly selects 10 teddy bears from a

A toy factory makes 5,000 teddy bears per day. The supervisor randomly selects 10 teddy bears from all 5,000 teddy bears and uses this sample to estimate the mean weight of teddy bears and the sample standard deviation. How many degrees of freedom are there in the estimate of the standard deviation?
DF = n - 1
DF = 10 - 1
[B]DF = 9[/B]

A typical human adult weighs 150 pounds, while a human newborn weighs approximately 7 pounds. An adu

A typical human adult weighs 150 pounds, while a human newborn weighs approximately 7 pounds. An adult female Western Grey Kangaroo weighs about 30 kilograms and gives birth to babies who are approximately one gram. If human babies were proportionally the same weight as adults as Western Grey Kangaroos babies, how much would a human newborn weigh?
Set up a proportion of adult weight to baby weight where n is the weight of a human baby:
30000/1 = 150/n
Using our [URL='https://www.mathcelebrity.com/proportion-calculator.php?num1=30000&num2=150&den1=1&den2=n&propsign=%3D&pl=Calculate+missing+proportion+value']proportion calculator,[/URL] we get:
n = [B]0.005 or 1/200 of a pound[/B]

Alfred carries a load of 12 kilograms. He finds it heavy so he removes a weight of 4 kilograms. What

Alfred carries a load of 12 kilograms. He finds it heavy so he removes a weight of 4 kilograms. What is the weight of the remaining load?
Removes means he subtract weight. So we have:
12 kilograms - 4 kilograms = [B]8 kilograms[/B]

An elevator can hold less than 2700 pounds of extra weight. If an average person weighs 150 pounds,

An elevator can hold less than 2700 pounds of extra weight. If an average person weighs 150 pounds, what is the maximum number of people (p) that can be on the elevator at one time?
Total weight = average weight per person * Number of people
Total weight = 150p
We know from the problem that:
150p < 2700
We want to solve this inequality for p. Divide each side of the inequality by 150:
150p/150 < 2700/150
Cancel the 150's on the left side and we get:
p < [B]18[/B]

An elevator can safely lift at most 4400 1bs. A concrete block has an average weight of 41 lbs. What

An elevator can safely lift at most 4400 1bs. A concrete block has an average weight of 41 lbs. What is the maximum number of concrete blocks that the elevator can lift?
Total blocks liftable = Lift Max / Weight per block
Total blocks liftable = 4400 / 41
Total blocks liftable = 107.31
We round down to whole blocks and we get [B]107[/B]

An elevator has a maximum weight of 3000 pounds. How many 150-pound people can safely ride the eleva

An elevator has a maximum weight of 3000 pounds. How many 150-pound people can safely ride the elevator? (Use "p" to represent the number of people)
Maximum means less than or equal to. We have the inequality:
150p <= 3000
To solve this inequality for p, we [URL='https://www.mathcelebrity.com/interval-notation-calculator.php?num=150p%3C%3D3000&pl=Show+Interval+Notation']type it in our search engine[/URL] and we get:
[B]p <= 20[/B]

At Priscilla's school, the final grade for her Calculus course is weighted as follows: Tests: 50% Qu

At Priscilla's school, the final grade for her Calculus course is weighted as follows: Tests: 50% Quizzes: 30% Homework: 20% Priscilla has an average of 87% on her tests, 100% on her quizzes, and 20% on her homework. What is Priscilla's weighted average?
Weighted Average gives weights to each percent of the average as follows:
Weighted Average = Average * weighting percent
Weighted Average = Test Average * Test Weighting + Quiz Average. * Quiz Weighting + Homework Average * Homework Weighting
Weighted Average = 87% * 50% + 100% * 30% + 20% * 20%
Weighted Average = 43.5% + 30% + 4%
Weighted Average = [B]77.5%[/B]

At the beginning of Jack's diet, he was 257 pounds. If he lost 3 pounds per week, find his weight af

At the beginning of Jack's diet, he was 257 pounds. If he lost 3 pounds per week, find his weight after 12 weeks.
A loss of weight means we subtract from Jack's current weight.
New Weight = Current Weight - Weight Loss per week * number of weeks
New Weight =257 - 3*12
New Weight =257 - 36
New Weight =[B] 221[/B]

Basal Metabolic Rate (BMR)

Free Basal Metabolic Rate (BMR) Calculator - Given a gender, an age, and a height/weight in inches/pounds or meters/kilograms, this will calculate the Basal Metabolic Rate (BMR)

Basic Statistics

Free Basic Statistics Calculator - Given a number set, and an optional probability set, this calculates the following statistical items:

Expected Value

Mean = μ

Variance = σ^{2}

Standard Deviation = σ

Standard Error of the Mean

Skewness

Mid-Range

Average Deviation (Mean Absolute Deviation)

Median

Mode

Range

Pearsons Skewness Coefficients

Entropy

Upper Quartile (hinge) (75th Percentile)

Lower Quartile (hinge) (25th Percentile)

InnerQuartile Range

Inner Fences (Lower Inner Fence and Upper Inner Fence)

Outer Fences (Lower Outer Fence and Upper Outer Fence)

Suspect Outliers

Highly Suspect Outliers

Stem and Leaf Plot

Ranked Data Set

Central Tendency Items such as Harmonic Mean and Geometric Mean and Mid-Range

Root Mean Square

Weighted Average (Weighted Mean)

Frequency Distribution

Successive Ratio

Expected Value

Mean = μ

Variance = σ

Standard Deviation = σ

Standard Error of the Mean

Skewness

Mid-Range

Average Deviation (Mean Absolute Deviation)

Median

Mode

Range

Pearsons Skewness Coefficients

Entropy

Upper Quartile (hinge) (75th Percentile)

Lower Quartile (hinge) (25th Percentile)

InnerQuartile Range

Inner Fences (Lower Inner Fence and Upper Inner Fence)

Outer Fences (Lower Outer Fence and Upper Outer Fence)

Suspect Outliers

Highly Suspect Outliers

Stem and Leaf Plot

Ranked Data Set

Central Tendency Items such as Harmonic Mean and Geometric Mean and Mid-Range

Root Mean Square

Weighted Average (Weighted Mean)

Frequency Distribution

Successive Ratio

Below are data showing the results of six subjects on a memory test. The three scores per subject ar

Below are data showing the results of six subjects on a memory test. The three scores per subject are their scores on three trials (a, b, and c) of a memory task. Are the subjects getting better each trial? Test the linear effect of trial for the data.
A score trial B score trial 2 C Score trial 3
4 6 7
3 7 8
2 8 5
1 4 7
4 6 9
2 4 2
(a) Compute L for each subject using the contrast weights -1, 0, and 1. That is, compute (-1)(a) + (0)(b) + (1)(c) for each subject.
(b) Compute a one-sample t-test on this column (with the L values for each subject) you created. Formula t = To computer a one-sample t-test first know the meaning of each letter
(a) Each L column value is just -1(Column 1) + 0(Column2) + 1(Column 3)
A score trial B score trial 2 C Score trial 3 L = (-1)(a) + (0)(b) + (1)(c)
4 6 7 3
3 7 8 5
2 8 5 3
1 4 7 6
4 6 9 5
2 4 2 0
(b) Mean = (3 + 5 + 3 + 6 + 5 + 0)/6 = 22/6 = 3.666666667
Standard Deviation = 2.160246899
Use 3 as our test mean
(3.666667 - 3)/(2.160246899/sqrt(6)) = 0.755928946

Big John weighs 300 pounds and is going on a diet where he'll lose 3 pounds per week. Write an equat

Big John weighs 300 pounds and is going on a diet where he'll lose 3 pounds per week. Write an equation in slope-intercept form to represent this situation.
[LIST]
[*]The slope intercept form is y = mx + b
[*]y is John's weight
[*]x is the number of weeks
[*]A 3 pound per week weight loss means -3 as the coefficient m
[*]b = 300, John's starting weight
[/LIST]
[B]y = -3x + 300[/B]

Bob weighs between 125 and 135

Bob weighs between 125 and 135
Let w be Bob's weight. Between means includes, so we have a compound inequality:
[B]125 <= w <= 135[/B]

Body Mass Index (BMI)

Free Body Mass Index (BMI) Calculator - Solves for the popular health measurement of Body Mass Index or Weight using inches and pounds input or meters and kilos input.

Also calculates the estimated surface area of the body using the Mosteller Formula

Also calculates the estimated surface area of the body using the Mosteller Formula

Connor bought 386.21 pounds of peanuts and 331.28 pounds of raisins. How many pounds of snacks did h

Connor bought 386.21 pounds of peanuts and 331.28 pounds of raisins. How many pounds of snacks did he buy in all?
Since peanuts [U]and[/U] raising are both snacks, we [URL='http://www.mathcelebrity.com/longdiv.php?num1=386.21&num2=331.28&pl=Add']add the weights[/URL].
Total pounds = 386.21 + 331.28
Total pounds = [B]717.49[/B]

Dollar Weighted Interest Method

Free Dollar Weighted Interest Method Calculator - Solves for Interest Rate, Starting Asset Value, Ending Asset Value, and Expenses using the Dollar Weighted Method.

Find Mean and standard deviation

one trunk can carry 5068.8 lb. weight of boxes that it carries have a mean of 75lb and a standard deviation of 16 Ib. For Sample size of 64 ,find the mean and standard deviation of /x

Find Mean and standard deviation

one trunk can carry 5068.8 lb. weight of boxes that it carries have a mean of 75lb and a standard deviation of 16 Ib. For Sample size of 64 ,find the mean and standard deviation of /x

Georgina has 9 bags of shaved coconuts. If each bag weighs 1/2 pounds what is the total weight of th

Georgina has 9 bags of shaved coconuts. If each bag weighs 1/2 pounds what is the total weight of the bags?
We take 9 bags * 1/2 pound per bag = [B]4.5 total pounds[/B].

Height and weight are two measurements used to track a child's development. TheWorld Health Organiza

Height and weight are two measurements used to track a child's development. The World Health Organization measures child development by comparing the weights of children who are the same height and the same gender.
In 2009, weights for all 80 cm girls in the reference population had a mean μ = 10.2 kg and standard deviation σ = 0.8 kg. Weights are normally distributed. X ~ N(10.2, 0.8).
Calculate the z-scores that correspond to the following weights and interpret them.
a. 11 kg

b. 7.9 kg

c. 12.2 kg a. [URL='http://www.mathcelebrity.com/probnormdist.php?xone=+11&mean=10.2&stdev=8&n=+1&pl=1" target="_blank']Answer A[/URL] - Z = 0.1 b. [URL='http://www.mathcelebrity.com/probnormdist.php?xone=+7.9&mean=+10.2&stdev=+8&n=+1&pl=1']Answer B[/URL] - Z = -0.288 c. [URL='http://www.mathcelebrity.com/probnormdist.php?xone=+12.2&mean=+10.2&stdev=+8&n=+1&pl=1']Answer C[/URL] - Z = 0.25

b. 7.9 kg

c. 12.2 kg a. [URL='http://www.mathcelebrity.com/probnormdist.php?xone=+11&mean=10.2&stdev=8&n=+1&pl=1" target="_blank']Answer A[/URL] - Z = 0.1 b. [URL='http://www.mathcelebrity.com/probnormdist.php?xone=+7.9&mean=+10.2&stdev=+8&n=+1&pl=1']Answer B[/URL] - Z = -0.288 c. [URL='http://www.mathcelebrity.com/probnormdist.php?xone=+12.2&mean=+10.2&stdev=+8&n=+1&pl=1']Answer C[/URL] - Z = 0.25

How many milligrams are in 20 grams

How many milligrams are in 20 grams?
[B]20,000[/B] using our [URL='http://www.mathcelebrity.com/weightcon.php?quant=20&pl=Calculate&type=gram#milligram']weight converter[/URL].

If a pound of coffee costs $4, how many ounces can be bought for $1.80

If a pound of coffee costs $4, how many ounces can be bought for $1.80
Using our conversion calculator, we find
[URL='https://www.mathcelebrity.com/weightcon.php?quant=1&pl=Calculate&type=pound']1 pound [/URL]= 16 ounces
$4 per 16 ounces = 4/16
[URL='https://www.mathcelebrity.com/perc.php?num=4&den=16&pcheck=1&num1=16&pct1=80&pct2=70&den1=80&idpct1=10&hltype=1&idpct2=90&pct=82&decimal=+65.236&astart=12&aend=20&wp1=20&wp2=30&pl=Calculate']We can simplify this fraction[/URL] to 0.25 per ounce
We take our 1.80 divided by 0.25 per ounce
1.80/0.25 = [B]7.2 ounces of coffee
[MEDIA=youtube]5eZAav1drX0[/MEDIA][/B]

Imagine that a researcher wanted to know the average weight of 5th grade boys in a high school. He r

Imagine that a researcher wanted to know the average weight of 5th grade boys in a high school. He randomly sampled 5 boys from that high school. Their weights were: 120 lbs., 99 lbs, 101 lbs, 87 lbs, 140 lbs. What's the sample [U][B]standard deviation[/B][/U]?
[B]20.79182532[/B] using stdev.s in excel or also found on our [URL='http://www.mathcelebrity.com/statbasic.php?num1=120%2C99%2C101%2C87%2C140&num2=+0.2%2C0.4%2C0.6%2C0.8%2C0.9&pl=Number+Set+Basics#standard_deviation']statistics calculator[/URL]

Imagine that a researcher wanted to know the average weight of 5th grade boys in a high school. He r

Imagine that a researcher wanted to know the average weight of 5th grade boys in a high school. He randomly sampled 5 boys from that high school. Their weights were: 120 lbs., 99 lbs, 101 lbs, 87 lbs, 140 lbs. What's the [B][U]standard error of the mean[/U][/B]?
9.29839 using our [URL='http://www.mathcelebrity.com/statbasic.php?num1=120%2C99%2C101%2C87%2C140&num2=+0.2%2C0.4%2C0.6%2C0.8%2C0.9&pl=Number+Set+Basics#standard_error_of_the_mean']statistics calculator[/URL]

Imagine that a researcher wanted to know the average weight of 5th grade boys in a high school. He r

Imagine that a researcher wanted to know the average weight of 5th grade boys in a high school. He randomly sampled 5 boys from that high school. Their weights were: 120 lbs., 99 lbs, 101 lbs, 87 lbs, 140 lbs. The researcher posed a null hypothesis that the average weight for boys in that high school should be 100 lbs. What is the [B][U]absolute value[/U][/B] of calculated t that we use for testing the null hypothesis?
Mean is 109.4 and Standard Deviation = 20.79182532 using our [URL='http://www.mathcelebrity.com/statbasic.php?num1=120%2C99%2C101%2C87%2C140&num2=+0.2%2C0.4%2C0.6%2C0.8%2C0.9&pl=Number+Set+Basics']statistics calculator[/URL]
Now use those values and calculate the t-value
Abs(t value) = (100 - 109.4)/ 20.79182532/sqrt(5)
Abs(tvalue) = [B]1.010928029[/B]

International Unit Conversions

Free International Unit Conversions Calculator - This calculator converts between the following weight measurements:

* International Units (IU)

* mcg

* mg

* International Units (IU)

* mcg

* mg

Itachi want’s to buy apples that weights 5.7 pounds. The apples is priced at $1.58 per pound how muc

Itachi want’s to buy apples that weights 5.7 pounds. The apples is priced at $1.58 per pound how much does the apples costs
Cost = price per pound * number of pounds
Cost = 1.58 * 5.7
Cost = [B]9.01[/B]

Jake used 5 boxes to pack 43.5 kg of books. If the boxes each weighed the same and held 8 books, wh

Jake used 5 boxes to pack 43.5 kg of books. If the boxes each weighed the same and held 8 books, what did each book weigh?
[U]Set up equations were w is the weight of each book:[/U]
[LIST=1]
[*]5 boxes * 8 books * w = 43.5
[*]40w = 43.5
[/LIST]
[U]Divide each side by 40[/U]
[B]w = 1.0875 kg[/B]

Juan is going on a flight to the beach. his luggage weighs 36 pounds. The bag weighs 4 pounds more t

Juan is going on a flight to the beach. his luggage weighs 36 pounds. The bag weighs 4 pounds more than the weight of 2 small bags of beach toys. Which equation can be used to find the weight in pounds of each bag of beach toys?
Let b be the weight of each bag of beach toys. We're given the following relationship:
2b -4 = 36
To solve this equation for b, we [URL='https://www.mathcelebrity.com/1unk.php?num=2b-4%3D36&pl=Solve']type it in our math engine[/URL] and we get:
b = [B]20[/B]

Julia has a bucket of water that weighs 10lbs. The total weight is 99% water. She leaves the bucke

Julia has a bucket of water that weighs 10lbs. The total weight is 99% water. She leaves the bucket outside overnight and some of the water evaporates, in the morning the water is only 98% of the total weight. What is the new weight?
Setup the proportion:
0.99/10 = 0.98/w
Using our [URL='http://www.mathcelebrity.com/prop.php?num1=0.99&num2=0.98&den1=10&den2=w&propsign=%3D&pl=Calculate+missing+proportion+value']proportion calculator[/URL], we get [B]w = 9.899 lbs[/B].

Matthew's cat weighs 10 pounds more than his pet hamster. His dog weighs the same as his cat. If the

Matthew's cat weighs 10 pounds more than his pet hamster. His dog weighs the same as his cat. If the weight of all three pets is 35 pounds, ow much does his hamster weigh?
Setup weights and relations:
[LIST]
[*]Hamster weight: w
[*]Cat weight: w + 10
[*]Dog weight:w + 10
[/LIST]
Add all the weights up:
w + w + 10 + w + 10 = 35
Solve for [I]w[/I] in the equation w + w + 10 + w + 10 = 35
[SIZE=5][B]Step 1: Group the w terms on the left hand side:[/B][/SIZE]
(1 + 1 + 1)w = 3w
[SIZE=5][B]Step 2: Group the constant terms on the left hand side:[/B][/SIZE]
10 + 10 = 20
[SIZE=5][B]Step 3: Form modified equation[/B][/SIZE]
3w + 20 = + 35
[SIZE=5][B]Step 4: Group constants:[/B][/SIZE]
We need to group our constants 20 and 35. To do that, we subtract 20 from both sides
3w + 20 - 20 = 35 - 20
[SIZE=5][B]Step 5: Cancel 20 on the left side:[/B][/SIZE]
3w = 15
[SIZE=5][B]Step 6: Divide each side of the equation by 3[/B][/SIZE]
3w/3 = 15/3
w =[B] 5[/B]
[B]
[URL='https://www.mathcelebrity.com/1unk.php?num=w%2Bw%2B10%2Bw%2B10%3D35&pl=Solve']Source[/URL][/B]

Periodic Table Items

Free Periodic Table Items Calculator - Shows details of all the elements on the periodic table including atomic weight, natural state.

Portfolio Rate of Return

Free Portfolio Rate of Return Calculator - Given a portfolio of individual assets with returns and weights, this calculates the total portfolio rate of return.

Rose weighs 140 pounds and gains 10%. What percent of her new weight must she lose to get back to 14

Rose weighs 140 pounds and gains 10%. What percent of her new weight must she lose to get back to 140 pounds?
Find her new weight after the 10% gain:
New Weight = Starting Weight * (1 + 10%)
Since 10% is 0.1, we have:
New Weight = Starting Weight * (1 + 0.1)
New Weight = Starting Weight * (1.1)
Plug in our numbers:
New Weight = 140 * (1.1)
New Weight = 154
To get back to 140, Rose must lose 154 - 140 = 14 pounds.
As a percentage of her new weight, [URL='https://www.mathcelebrity.com/perc.php?num=14&den=154&pcheck=1&num1=16&pct1=80&pct2=70&den1=80&idpct1=10&hltype=1&idpct2=90&pct=82&decimal=+65.236&astart=12&aend=20&wp1=20&wp2=30&pl=Calculate']we type 14/154 into our search engine[/URL], and get:
[B]9.09%
[/B]
[I]We read this as, Rose must lose 9.09% of her current body weight of 154 pounds to get back to her starting weight of 140 pounds.[/I]

Stella buys one carton of juice. The carton holds 130 fl oz. She fills 5 glasses with juice from the

Stella buys one carton of juice. The carton holds 130 fl oz. She fills 5 glasses with juice from the carton. Each glass holds 8 fl oz. How much fl oz is left in the carton?
First, we find out how much juice was poured into glasses from the carton:
Poured Juice Weight = Glasses of Juice * Ounces per glass
Poured JuiceWeight = 5 * 8
Poured JuiceWeight = 40
Next, we subtract the poured out juice weight from the full carton weight to find out the leftover amount:
Leftover Juice = Carton Weight when full - Poured Juice Weight
Leftover Juice = 130 - 40
Leftover Juice = [B]90 oz[/B]

Suppose that the weight (in pounds) of an airplane is a linear function of the amount of fuel (in ga

Suppose that the weight (in pounds) of an airplane is a linear function of the amount of fuel (in gallons) in its tank. When carrying 20 gallons of fuel, the airplane weighs 2012 pounds. When carrying 55 gallons of fuel, it weighs 2208 pounds. How much does the airplane weigh if it is carrying 65 gallons of fuel?
Linear functions are written in the form of one dependent variable and one independent variable. Using g as the number of gallons and W(g) as the weight, we have:
W(g) = gx + c where c is a constant
We are given:
[LIST]
[*]W(20) = 2012
[*]W(55) = 2208
[/LIST]
We want to know W(65)
Using our givens, we have:
W(20) = 20x + c = 2012
W(55) = 55x + c = 2208
Rearranging both equations, we have:
c = 2012 - 20x
c = 2208 - 55x
Set them both equal to each other:
2012 - 20x = 2208 - 55x
Add 55x to each side:
35x + 2012 = 2208
Using our [URL='http://www.mathcelebrity.com/1unk.php?num=35x%2B2012%3D2208&pl=Solve']equation solver[/URL], we see that x is 5.6
Plugging x = 5.6 back into the first equation, we get:
c = 2012 - 20(5.6)
c = 2012 - 112
c = 2900
Now that we have all our pieces, find W(65)
W(65) = 65(5.6) + 2900
W(65) = 264 + 2900
W(65) = [B]3264[/B]

The distribution of actual weights of 8 oz chocolate bars produced by a certain machine is normal wi

The distribution of actual weights of 8 oz chocolate bars produced by a certain machine is normal with µ=8.1 ounces and ?=0.1 ounces. A sample of 5 of these chocolate bars is selected. What is the probability that their average weight is less than 8 ounces?
Calculate Z score and probability using [URL='http://www.mathcelebrity.com/probnormdist.php?xone=8&mean=8.1&stdev=0.1&n=5&pl=P%28X+%3C+Z%29']our calculator[/URL]:
Z = -2.236
P(X < -2.236) = [B]0.012545[/B]

The weight of a 9.5-inch by 6-inch paperback book published by Leaden Publications, Inc., is 16.2 oz

The weight of a 9.5-inch by 6-inch paperback book published by Leaden Publications, Inc., is 16.2 oz. The standard deviation is 2.9 oz. What is the probability that the average weight of a sample of 33 such books is less than 15.89 oz?
Using our [URL='http://www.mathcelebrity.com/probnormdist.php?xone=15.89&mean=16.2&stdev=2.9&n=33&pl=P%28X+%3C+Z%29']z-score calculator[/URL], we get:
[B]0.271[/B]

The weight of water is approximately 2 pounds 3 ounces per litre. How much will 8 litres of water we

The weight of water is approximately 2 pounds 3 ounces per litre. How much will 8 litres of water weigh?
First, convert 2 pounds 3 ounces to ounces.
16 ounces to a pound, so we have:
2(16) + 3
32 + 3
35 ounces for one liter
For 8 litres, we have:
35 * 8 = 280 ounces
Now, convert that back to pounds
280/16 = [B]17.5 pounds, or 17 pounds, 8 ounces.[/B]

There are 40 grams in 5 prunes. How much gram of weight is in 34 prunes

There are 40 grams in 5 prunes. How much gram of weight is in 34 prunes?
Set up a proportion of grams to prunes where g is the number of grams in 34 prunes:
40/5 = g/34
[URL='https://www.mathcelebrity.com/prop.php?num1=40&num2=g&den1=5&den2=34&propsign=%3D&pl=Calculate+missing+proportion+value']Typing this proportion of 40/5 = g/34 into our search engine[/URL], we get:
[B]g = 272[/B]

Time Weighted Interest Method

Free Time Weighted Interest Method Calculator - Solves for Interest Rate based on 2 annual asset value events other than beginning or ending value using the Time Weighted Method

Use the information below to determine the weight of 500 gallons of water. a) There are 1.057 quart

Use the information below to determine the weight of 500 gallons of water.
a) There are 1.057 quarts in a liter and 4 quarts in a gallon
b) A cubic decimeter of water is a liter of water
c) A cubic decimeter of water weighs one kilogram
d) There are 2.2 pounds in a kilogram
[LIST]
[*]500 gallons = 2000 quarts
[*]2000 quarts / 1.057 quarts in a liter = 1892.15 liters
[*]1892.15 liters weight 1892.15 kilograms
[*]1892.15 kilograms x 2.2 pounds = [B]4163 pounds[/B]
[/LIST]

Utility and Cost Utility Ratio

Free Utility and Cost Utility Ratio Calculator - Given 2 methods with a set of utilities and weights/probabilities, this will calculate the utility for each method, as well as the total utility using the additive method, as well as the Cost Utility Ratio

Weight Conversions

Free Weight Conversions Calculator - This calculator converts between the following weight measurements:

* Ounces (oz.)

* Pounds (lb.)

* Tons

* Milligrams (mg.)

* Grams

* Kilograms (kg.)

* Centigrams (cg.)

* Micrograms (mcg.)

* Stone

* Ounces (oz.)

* Pounds (lb.)

* Tons

* Milligrams (mg.)

* Grams

* Kilograms (kg.)

* Centigrams (cg.)

* Micrograms (mcg.)

* Stone

Weighted Average Cost of Capital (WACC) and Capital Asset Pricing Model (CAPM)

Free Weighted Average Cost of Capital (WACC) and Capital Asset Pricing Model (CAPM) Calculator - Calculates the Weighted Average Cost of Capital (WACC) and also calculates the return on equity if not given using the Capital Asset Pricing Model (CAPM) using debt and other inputs such as Beta and risk free rate.

What is the weight of a cubic meter of water? Express your answer in kilograms?

What is the weight of a cubic meter of water? Express your answer in kilograms?
1 kilogram per cubic decimeter and 1000 cubic decimeters in a cubic meter = [B]1000 kilograms[/B]

What is the weight of a liter of water expressed in kilograms?

What is the weight of a liter of water expressed in kilograms?
the answer is [B]1 kilogram[/B]

Which of the following involves making pairwise comparisons? a. Comparing the standard deviation of

Which of the following involves making pairwise comparisons?
a. Comparing the standard deviation of GRE grades between two states
b. Comparing the variance of the amount of soda consumed by boys and girls in a high school
c. Comparing the mean weight between children in grades 2, 3, 4 and 5
d. Comparing the number of restaurants in New York and Boston
[B]c. Comparing the mean weight between children in grades 2, 3, 4 and 5[/B]
Pairwise comparison generally refers to any process of comparing entities in pairs to judge which of each entity is preferred, or has a greater amount of some quantitative property

Yael worked out at a gym for 2 hours. Her workout consisted of stretching for 21 minutes,jogging for

Yael worked out at a gym for 2 hours. Her workout consisted of stretching for 21 minutes,jogging for 45 minutes, and lifting weights for the remaining amount of time. What percentage of Yael’s workout was spent lifting weights?
Each hour is 60 minutes, so we have 2 * 60 = 120 minutes of workout time for Yael.
We subtract off the stretching and jogging time to get the time Yael lifted weights:
120 - 21 - 45 = 54 minutes