Christine baked a pumpkin pie. she ate 1/6 of the pie. her brother ate 1/3 of it and gave the leftovers to his friends. what fraction of the pie did he give to his friends?
The fraction of the pie given to his friend is [tex]\frac{1}{2}[/tex]
Christine ate [tex]\frac{1}{6}[/tex] of the pie Her brother ate [tex]\frac{1}{3}[/tex] of the pie Further ExplanationThe leftover given to his friends will be determined adding the portion Christine and her brother ate which are [tex]\frac{1}{6}[/tex] and [tex]\frac{1}{3}[/tex] respectively, then subtracted from the whole portion.
= [tex]\frac{1}{6}[/tex] + [tex]\frac{1}{3}[/tex] (The lowest common denominator of 6 and 3 = 6)
= (1 x 1) + (2 x 1) /6
= (1) + (2) / 6
= 1 + 2 / 6
= [tex]\frac{3}{6}[/tex]
Thus, total portion of the pie eaten by Christine and her brother = [tex]\frac{3}{6}[/tex] . Also the fraction of the whole portion of the pie = [tex]\frac{6}{6}[/tex]
Determining the portion given to the friend =
Subtracting [tex]\frac{6}{6}[/tex] – [tex]\frac{3}{6}[/tex]
= [tex]\frac{6}{6}[/tex] – [tex]\frac{3}{6}[/tex] (The lowest common denominator of 6 and 6 = 6)
= (1 x 6) – (1 x 3) / 6
= (6) – (3) / 6
= 6 – 3 / 6
= [tex]\frac{3}{6}[/tex]
= [tex]\frac{1}{2}[/tex] (further broken down to this)
Therefore the fraction given to the friend is [tex]\frac{1}{2}[/tex].
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mixed numbers brainly.com/question/12853142 fraction brainly.com/question/6201432Numbers: brainly.com/question/2906770KEYWORDS:
fractionslowest common denominatorpumpkin piechristinenumeratornumbersTed is asked to multiply 10^2 times 18.72.How many places and in which direction should he move the decimal point to get the correct product?
Two hundred percent (200%) is equivalent to what whole number?
Two hundred percent (200%) is equivalent to whole number 2.
What is a percentage?A ratio or value that may be stated as a fraction of 100 is called a percentage. And it is represented by the symbol '%'.
Given:
We have the percentage 200%.
Converting percentage to whole number,
200/100,
= 2
2 is equivalent to 200%.
Therefore, 2 is equivalent to 200%.
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The sale tax rate in Brads town is 4.25%. If he buys 3 lamps for 22.49 each and a sofa for 829.99, how much sales tax does he owe?
To determine the sales tax owed, calculate the total cost of the items purchased and apply the sales tax rate.
Explanation:The sales tax rate in Brads town is 4.25%.
Calculate the total cost of the lamps: 3 lamps at $22.49 each.Calculate the total cost of the sofa.Find the total amount of sales tax owed.Therefore, the student owes a total amount of sales tax as calculated in step 3.
45/55 expressed as a percentage
What is 10 times as much than 0.84
how do you divide 32 by 3,072 in long division
The pineapple is seven times as heavy as an orange or pineapple also weighs 870 g videos in the orange what is the total weight in grams for the pineapple and orange
Stephen wrote the problem 46.8 divided by 0.5. what is the correct quotient?
Answer:
The correct quotient would be 93.6.Step-by-step explanation:
If Stephen divided 46.8 by 0.5, the right quotient would be:
[tex]\frac{46.8}{0.5} = 93.6[/tex]
Therefore, the correct quotient would be 93.6, because if Stephen multiply 93.6 times 0.5, it would result in 46.8.
Remember that the quotient is basically the result of a division or fraction.
Friendship bracelets sell for $7 each how much will it cost to buy 5 friendship bracelets?
use a ratio to compare the values. simplify the ratio. 30 in. to 2ft
1. Tabitha was shooting free throws in gym class. She completed 8 of the shots, which was half of 4 more than Joan completed. What is the number of free throws, n, that Joan completed?
Joan completed 12 free throws. Tabitha completed 8, half of 4 more than Joan's total. Equation: (1/2)(4+n)=8. Solve: n=12.
Let's break down the problem step by step:
1. Let's denote the number of free throws Joan completed as n.
2. According to the given information, Tabitha completed 8 shots.
3. It's also mentioned that Tabitha completed half of 4 more than Joan completed. So, the number of shots Tabitha completed is [tex]\( \frac{1}{2}(4 + n) \)[/tex].
4. Since Tabitha completed 8 shots, we can write the equation:
[tex]\[ \frac{1}{2}(4 + n) = 8 \][/tex]
5. Now, let's solve for n:
[tex]\[ \frac{1}{2}(4 + n) = 8 \][/tex]
4 + n = 16 (multiplying both sides by 2 to eliminate the fraction)
n = 16 - 4
n = 12
So, the number of free throws, n, that Joan completed is indeed 12..
What is the answer to this question
I'm not really sure how to fro it, can anyone help me?
Graph the image of the figure after a dilation with a scale factor of 3/2 centered at (5, −5).
Use the polygon tool to graph the triangle by connecting all its vertices
the coordinates are
(5,-1)
(3,-5)
(-1,-5)
Answer:
The vertices of image are (5,1), (2,-5) and (-4,-5).
Step-by-step explanation:
The vertices of triangle are (5,-1), (3,-5) and (-1,-5).
If a figure dilated by scale factor k centered at (a,b), then
[tex](x,y)\rightarrow (k(x-a)+a,k(y-b)+b)[/tex]
The figure after a dilation with a scale factor of 3/2 centered at (5, −5).
[tex](x,y)\rightarrow (\frac{3}{2}(x-5)+5,\frac{3}{2}(y+5)-5)[/tex]
The coordinates of image are
[tex](5,-1)\rightarrow (\frac{3}{2}(5-5)+5,\frac{3}{2}(-1+5)-5)\rightarrow (5,1)[/tex]
[tex](3,-5)\rightarrow (\frac{3}{2}(3-5)+3,\frac{3}{2}(-5+5)-5)\rightarrow (2,-5)[/tex]
[tex](-1,-5)\rightarrow (\frac{3}{2}(-1-5)+5,\frac{3}{2}(-5+5)-5)\rightarrow (-4,-5)[/tex]
Therefore vertices of image are (5,1), (2,-5) and (-4,-5).
a store has 30 boxes of melon each box has 4 bags each bag holde 2 melons what is the total number of melon in the store?
Alicia wrote these numbers:2,9,15,21.which of Alicia numbers is not a composite number?
what is the percent of change from 14 inches 26 inches
The percent of change from 14 inches to 26 inches is approximately 85.71 percent, calculated by using the formula for percent of change which is [(change in quantity)/(original quantity)] × 100.
Explanation:To find the percent of change from one value to another, you apply the formula [(change in quantity)/(original quantity)] × 100. In this instance, the original quantity is 14 inches and it changed to 26 inches. Therefore, the change in quantity is 26 - 14 = 12 inches.
Now, substitute these values into the formula: (12/14) × 100 = 85.71% (approximately). This means the change from 14 inches to 26 inches represents an approximately 85.71 percent increase.
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Mr. Alberto has 48 students to divide into teams of 8. The number of teams will be divided equally for three high school students to coach at practice. How many teams will each high school student get?
Alison raised 10 to the 5th power then she divided this value by 100 what was the quotient?
Kathy is baking cakes. Each cake requires 1/12 of a teaspoon of vanilla, and she has 9/12 of a teaspoon, how many cakes can she bake
What is the value of fraction 1 over 2x3 + 5.2y when x = 2 and y = 3?
the value of the fraction when x = 2 and y = 3 is approximately [tex]\( \frac{1}{31.6} \).[/tex]
To find the value of the fraction [tex]\( \frac{1}{2x^3 + 5.2y} \) when \( x = 2 \) and \( y = 3 \)[/tex], we substitute these values into the expression:
[tex]\[ \frac{1}{2(2)^3 + 5.2(3)} \][/tex]
[tex]\[ = \frac{1}{2(8) + 5.2(3)} \][/tex]
[tex]\[ = \frac{1}{16 + 15.6} \][/tex]
[tex]\[ = \frac{1}{31.6} \][/tex]
So, the value of the fraction when x = 2 and y = 3 is approximately [tex]\( \frac{1}{31.6} \).[/tex]
The probable question maybe:
What is the value of fraction 1 over 2x^3 + 5.2y when x = 2 and y = 3?
how to do twice of p minus q
Final answer:
To do twice of p minus q, multiply p by 2 and then subtract q. For example, if p is 5 and q is 3, the result would be 7 (since 2*5 - 3 equals 10 - 3 equals 7).
Explanation:
To calculate twice of p minus q, first you need to understand that 'twice of p' means 2 times p, which is written as 2p. Then, you subtract q from this result. The algebraic expression for this calculation is 2p - q.
Here is an example, if p equals 5 and q equals 3, then twice of p minus q would be calculated as follows:
Twice of p is 2 times 5, which equals 10.
Then, subtract q (which is 3) from this result: 10 - 3 equals 7.
Therefore, twice of p minus q would be 7 when p is 5 and q is 3.
Solve the equation. |3 − w| = −2
A recipe for lemonade calls for 1 cup of sugar and 5 cups of water. How much sugar is used per cup of water?
Answer:
[tex]\frac{1}{5}[/tex] cup of sugar per cup of water
Step-by-step explanation:
Set up a ratio with sugar on top and water on bottom to figure it out.
"If 1 cup sugar is equal to 5 cup water, then [tex]x[/tex] cup sugar equal to 1 cup water"
Translating the above statement into ratios:
[tex]\frac{sugar}{water}=\frac{1}{5}=\frac{x}{1}[/tex]
Cross multiplying and solving for [tex]x[/tex] gives us:
[tex]\frac{1}{5}=\frac{x}{1}\\5x=1*1\\5x=1\\x=\frac{1}{5}[/tex]
So [tex]\frac{1}{5}[/tex] cup of sugar is used per cup of water.
Ken, a meteorologist, is predicting next year’s temperatures in New York City. He predicts that, in August, the average low temperature will be 20°C, and that the temperature will drop by 4°C in September. Use the number line interactive tool to determine Ken’s temperature prediction for September. Ken’s predicted temperature for September is
Answer:
the answer is 16 c:
Step-by-step explanation:
the length of the the popcorn machine is 3/4 of its height what is the length of the popcorn machin
Without the height of the popcorn machine, the exact length cannot be calculated. The length is three-quarters of the height. If the height were known, the length would be determined by multiplying the height by 3/4.
To determine the length of the popcorn machine, we need to know the height of the machine since the length is expressed as a fraction of the height. Without the height measurement, we cannot calculate a specific length. However, if we were provided with the height (let's call it H), then we could easily find the length by multiplying the height by 3/4:
Length = (3/4) × H
For example, if the height of the popcorn machine were 4 feet, then the length would be calculated as follows:
Length = (3/4) × 4 feet = 3 feet
Therefore, the length of the popcorn machine is three-quarters of whatever its height is.
Kelli and Karl each have a job. Kelli earns $20 an hour. She also receives a $100 weekly bonus.
Kelli made a table to show how much she earns in a given week.
Hours 0 5 10 15 20 25 30 35 40
Weekly Earnings 100 200 300 400 500 600 700 800 900
Karl earns $25 an hour and receives a $50 weekly bonus.
Karl made a graph to show how much he earns per hour in a given week.
How many hours will it take Kelli and Karl to earn the same amount of money?
Enter your answer in the box.
hours
Answer: 10
How many hours will it take Kelli and Karl to earn the same amount of money? i took the k12 quiz
Two candidates ran for class president. The candidate that won received 80% of the 360 total votes. How many votes did the winning candidate receive?
ANSWER ASAP PLEASE
The winning candidate for the class president's election received 288 votes, as this represents 80% of the total votes (360). We calculated this by converting the percentage to a decimal (0.80) and multiplying it with the total votes.
Explanation:This problem is about finding percentages of a given amount. The winner of the election received 80% of the votes. Given the total number of votes is 360, we need to find 80% of 360 to determine the number of votes the winning candidate received. To calculate this, simply multiply 360 by 0.80 (or 80%).
Here's the step-by-step calculation:
Convert the percentage to a decimal by dividing it by 100. So, 80 / 100 = 0.80. Multiply this decimal by the total votes. So, 0.80 * 360 = 288.
Hence, the winning candidate received 288 votes.
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Jabir buys 2.74 pounds of dried pinto beans and 4.05 pounds of dried lima beans. What is the difference between the weights of the beans that Jabir buys?