Ramon makes 33 donuts every 7 hours. Using a unit rate, determine how many whole donuts he would make in 5 hours.(1 point)
Responses
To determine the unit rate, divide the total number of donuts (33) by the total number of hours (7).
Unit rate = 33 donuts / 7 hours = 4.714 donuts/hour.
To find out how many whole donuts Ramon would make in 5 hours, multiply the unit rate by the number of hours.
Number of donuts = 4.714 donuts/hour * 5 hours ≈ 23.57 donuts.
Therefore, Ramon would make approximately 23 whole donuts in 5 hours.
To compute Raquel's wage for each yard, divide her total weekly pay ($75) by the number of yards mowed (8).
The equation would be:
Wage per yard = Total weekly pay / Number of yards
Wage per yard = $75 / 8
To determine how many pints Jesse uses for each painting, divide the total number of pints (13) by the number of paintings (5).
Pints per painting = Total pints / Number of paintings
Pints per painting = 13 pints / 5 paintings
Pints per painting = 2.6 pints
Therefore, Jesse uses 2.6 pints for each painting.
To determine how many paintings Jesse will complete if he uses 44 pints, divide the total number of pints (44) by the pints per painting (2.6).
Number of paintings = Total pints / Pints per painting
Number of paintings = 44 pints / 2.6 pints
Number of paintings ≈ 16.92 paintings
Therefore, Jesse will complete approximately 16.92 paintings if he uses 44 pints. Since he cannot complete a fraction of a painting, he would complete either 16 or 17 paintings.
To determine how many pints Jesse will need for 29 paintings, multiply the number of paintings (29) by the pints per painting (2.6).
Total pints = Number of paintings * Pints per painting
Total pints = 29 paintings * 2.6 pints
Total pints = 75.4 pints
Therefore, Jesse will need approximately 75.4 pints for 29 paintings. Since he cannot use a fraction of a pint, he would need either 75 or 76 pints.
Raquel gets paid $75 per week to mow 8 yards. Which equation would represent how to compute her wage for each yard?(1 point)
Jesse uses 13 pints of paint for 5 paintings. How many pints does he use for each painting? How many paintings will he complete if he uses 44 pints? How many pints will he need for 29 paintings?(1 point)
Karen can read 10 pages and complete 15 math problems in 30 minutes. How long will it take her to do her homework if she has 30 pages to read and 45 math problems to complete? Your answer should refer to the amount of time in minutes.(1 point)
To find out how long it will take Karen to do her homework, we need to determine how long it takes her to complete each page and math problem.
First, let's find out how long it takes Karen to read one page.
Reading rate = 30 minutes / 10 pages
Reading rate = 3 minutes/page
Next, let's find out how long it takes Karen to complete one math problem.
Math rate = 30 minutes / 15 math problems
Math rate = 2 minutes/problem
To determine how long it will take Karen to read 30 pages, multiply the reading rate by the number of pages.
Time to read pages = Reading rate * Number of pages
Time to read pages = 3 minutes/page * 30 pages
Time to read pages = 90 minutes
Similarly, to determine how long it will take Karen to complete 45 math problems, multiply the math rate by the number of problems.
Time to complete math problems = Math rate * Number of problems
Time to complete math problems = 2 minutes/problem * 45 problems
Time to complete math problems = 90 minutes
Therefore, it will take Karen 90 minutes to both read 30 pages and complete 45 math problems for her homework.
Rafael is making punch and needs a gallon of raspberry sorbet and 2 liters of lemon-lime soda to make 12 cups. He pays $3.00 for a 2-liter container of lemon-lime soda and $4.00 for a quart of sorbet. What is the minimum amount he should charge per cup of punch to make a $10 profit? (Remember there are 4 quarts in a gallon.) Your answer should be a dollar amount rounded to the nearest hundredth.(1 point)
First, let's calculate the cost of the ingredients per cup of punch.
Raspberry sorbet cost per cup = (Cost of 1 quart of sorbet) / (Number of cups made from 1 quart)
Raspberry sorbet cost per cup = $4.00 / 4 cups
Raspberry sorbet cost per cup = $1.00 per cup
Lemon-lime soda cost per cup = (Cost of 1 2-liter container) / (Number of cups made from 1 2-liter container)
Lemon-lime soda cost per cup = $3.00 / 12 cups
Lemon-lime soda cost per cup = $0.25 per cup
Total cost per cup of punch = Raspberry sorbet cost per cup + Lemon-lime soda cost per cup
Total cost per cup of punch = $1.00 + $0.25
Total cost per cup of punch = $1.25 per cup
Now, let's calculate the minimum price per cup that Rafael should charge to make a $10 profit.
Minimum price per cup = Total cost per cup + Desired profit per cup
Minimum price per cup = $1.25 + $10.00 / 12 cups
Minimum price per cup = $1.25 + $0.83
Minimum price per cup = $2.08
Therefore, Rafael should charge at least $2.08 per cup of punch to make a $10 profit.
Randi needs to mow her lawn. The mixture requires 5 gallons of gas for every 2 gallons of oil. How much oil will she need for 8 gallons of gas? Your answer should be in tenths.(1 point)
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According to the mixture requirement, for every 5 gallons of gas, 2 gallons of oil are needed.
We can set up a proportion to find out how much oil Randi will need for 8 gallons of gas:
5 gallons of gas / 2 gallons of oil = 8 gallons of gas / x gallons of oil
Cross-multiplying, we get:
5 * x = 8 * 2
5x = 16
Dividing both sides by 5:
x = 16 / 5
x = 3.2
Therefore, Randi will need 3.2 gallons of oil for 8 gallons of gas.
Laila is laying a path down for a new driveway. The store has three types of paver stones that will work for her space. She needs to know which paver is the best price. Paver 1 costs $1.49 each, and she will need twice as many as paver 2 and half as many as paver 3. Paver 2 costs $2.50 each. Paver 3 costs $0.75. Which paver will be the best buy? Your answer should be a number.(1 point)
To determine the best buy, we need to compare the prices of the three pavers.
Paver 1: $1.49 each
Paver 2: $2.50 each
Paver 3: $0.75 each
To calculate the total cost for each paver, we will consider the quantity needed for each one.
Laila needs twice as many paver 2 as paver 1, and half as many paver 3 as paver 1.
Let's calculate the total cost for each paver:
Total cost for paver 1 = Quantity needed * Cost per paver
Total cost for paver 1 = (2 * Quantity needed for paver 2) * $1.49
Total cost for paver 2 = Quantity needed * Cost per paver
Total cost for paver 2 = Quantity needed for paver 2 * $2.50
Total cost for paver 3 = Quantity needed * Cost per paver
Total cost for paver 3 = (1/2 * Quantity needed for paver 2) * $0.75
Since we have not been given the quantity needed for paver 2, we cannot determine the total cost for each paver and therefore cannot determine the best buy.
The ratio of girls to boys in the school is 3 to 1. If there is a total of 400 students, how many are boys? The answer must be a whole number.(1 point)
To determine the number of boys, we need to find the fraction of the total number of students that represents boys.
The ratio of girls to boys is 3 to 1. This means that for every 3 girls, there is 1 boy.
Let's represent the number of boys as x.
The total number of students in the school is given as 400.
We can set up a proportion to solve for x:
3 girls / 400 total students = 1 boy / x boys
Cross-multiplying, we get:
3 * x = 1 * 400
3x = 400
x = 400 / 3
x ≈ 133.33
Since we're looking for a whole number, we round down to the nearest whole number.
Therefore, there are approximately 133 boys in the school.
Use proportional relationships to solve this mixture problem. The incoming 6th-grade class has a choice between band or choir as an elective. There are four times as many seats in choir as there are in band. How many students can choose band if there is a total of 250 students?(1 point)
Let's represent the number of seats in band as "x".
According to the problem, there are four times as many seats in choir as there are in band. This means that the number of seats in choir is 4 times the number of seats in band, or 4x.
Since the total number of students is given as 250, we can set up a proportion to solve for x:
x seats in band / 4x seats in choir = Number of students in band / Number of students in choir
Cross-multiplying, we get:
x * Number of students in choir = 4x * Number of students in band
Since the number of students in band and choir is the same (250), the proportion becomes:
x * 250 = 4x * 250
Canceling out the factor of 250 on both sides of the equation, we have:
x = 4x
Dividing both sides of the equation by 4, we get:
1/4 * x = x
Simplifying, we find:
0.25 * x = x
Subtracting x from both sides, the equation becomes:
0.75 * x = 0
This indicates that x is equal to zero.
However, it doesn't make sense to have zero seats in band.
Since there are no restrictions on the number of students who can select band or choir, we can assume that all students will fill the available seats. Therefore, to have a reasonable solution, we can conclude that the number of seats in band is zero and that all 250 students will choose choir as their elective.
Carla needs to complete her science homework. She has 20 pages to read and 14 questions to answer. If it takes Carla 10 minutes to read 4 pages, how many minutes will it take her to read the full assignment?(1 point)
First, let's determine how many sets of 4 pages Carla needs to read.
Number of sets of 4 pages = Total number of pages / Number of pages per set
Number of sets of 4 pages = 20 pages / 4 pages per set
Number of sets of 4 pages = 5 sets
Now, let's calculate the total time Carla needs to read the full assignment.
Time to read full assignment = Time to read 4 pages * Number of sets of 4 pages
Time to read full assignment = 10 minutes * 5 sets
Time to read full assignment = 50 minutes
Therefore, it will take Carla 50 minutes to read the full assignment.
Luis is making chocolate chip cookies. The recipe calls for 18 cup of almonds for every 34 cup of chocolate chips. If Luis uses 3 cups of chocolate chips, how many cups of almonds will he need? Round to the nearest tenth.(1 point)
Responses
To determine the number of cups of almonds Luis will need, we can set up a proportion based on the ratio given in the recipe.
18 cups of almonds / 34 cups of chocolate chips = x cups of almonds / 3 cups of chocolate chips
Cross-multiplying, we get:
18 cups of almonds * 3 cups of chocolate chips = 34 cups of chocolate chips * x cups of almonds
54 cups of almonds = 34 cups of chocolate chips * x cups of almonds
To solve for x, divide both sides of the equation by 34 cups of chocolate chips:
x cups of almonds = 54 cups of almonds / 34 cups of chocolate chips
x cups of almonds ≈ 1.588
Therefore, Luis will need approximately 1.6 cups of almonds.
Lenny is making his own laundry soap. The recipe calls for 2 parts borax, 2 parts washing soda, and 1 part soap flakes. If Lenny uses 7 cups of soap flakes, how many cups of borax and washing soda combined does he need?(1 point)
Responses
Since the recipe calls for 2 parts borax, 2 parts washing soda, and 1 part soap flakes, we need to determine the total number of parts.
Total number of parts = 2 (borax) + 2 (washing soda) + 1 (soap flakes)
Total number of parts = 5 parts
Now, we can determine the number of parts for borax and washing soda.
Number of parts for borax = 2/5 of the total
Number of parts for washing soda = 2/5 of the total
To figure out how much of each ingredient Lenny needs, we can multiply the number of parts by the amount of soap flakes used.
Cups of borax = Number of parts for borax * Cups of soap flakes
Cups of washing soda = Number of parts for washing soda * Cups of soap flakes
Substituting the given values:
Cups of borax = (2/5) * 7 cups of soap flakes = 14/5 cups
Cups of washing soda = (2/5) * 7 cups of soap flakes = 14/5 cups
Therefore, Lenny needs approximately 2.8 cups of borax and 2.8 cups of washing soda combined.
Lisa adds 2 tsp baking soda to 6 lbs. of flour. How much baking soda should she add to 9 lbs. of flour?(1 point)
To determine how much baking soda Lisa should add to 9 lbs. of flour, we can set up a proportion based on the ratio of baking soda to flour.
The ratio of baking soda to flour is 2 tsp of baking soda to 6 lbs of flour.
Let x represent the amount of baking soda needed for 9 lbs of flour.
The proportion can be set up as:
2 tsp baking soda / 6 lbs flour = x tsp baking soda / 9 lbs flour
Cross-multiplying, we get:
2 tsp baking soda * 9 lbs flour = 6 lbs flour * x tsp baking soda
18 tsp baking soda = 6 lbs flour * x tsp baking soda
Dividing both sides of the equation by 6 lbs flour, we find:
18 tsp baking soda / 6 lbs flour = x tsp baking soda
Simplifying, we have:
3 tsp baking soda = x tsp baking soda
Therefore, Lisa should add 3 tsp of baking soda to 9 lbs of flour.