Rosie buys her favorite hot chocolate from a hot chocolate shop. She pays $5.00 and gets a 20 oz. cup. What is the unit rate price per ounce for her hot chocolate?(1 point)
To find the unit rate price per ounce for Rosie's hot chocolate, we divide the total cost ($5.00) by the number of ounces in the cup (20 oz).
Unit rate price per ounce = Total cost / Number of ounces
Unit rate price per ounce = $5.00 / 20 oz
To simplify the calculation, we perform the division:
Unit rate price per ounce = $0.25/oz
Therefore, the unit rate price per ounce for Rosie's hot chocolate is $0.25.
Oscar is training to compete in a cross country meet at his school. In a week he runs a total of 7 miles in 84 minutes. What is the unit rate of minutes per mile?(1 point)
To find the unit rate of minutes per mile for Oscar's running, we divide the total number of minutes (84 minutes) by the total number of miles (7 miles).
Unit rate of minutes per mile = Total number of minutes / Total number of miles
Unit rate of minutes per mile = 84 minutes / 7 miles
To simplify the calculation, we perform the division:
Unit rate of minutes per mile = 12 minutes/mile
Therefore, the unit rate of minutes per mile for Oscar's running is 12 minutes/mile.
Valerie buys a new car. She can drive 288 miles on a full tank of gas. If her car holds 16 gallons of gasoline, what is the unit rate of miles per gallon?(1 point)
Liam decides to make a New Year's goal to read more books. One year later, he has read a total of 36 books. What is the unit rate of book per month that he read?(1 point)
To find the unit rate of book per month that Liam read, we need to know the number of months in one year.
Assuming there are 12 months in a year, we divide the total number of books read (36) by the number of months (12).
Unit rate of books per month = Total number of books / Number of months
Unit rate of books per month = 36 books / 12 months
To simplify the calculation, we perform the division:
Unit rate of books per month = 3 books/month
Therefore, the unit rate of books per month that Liam read is 3 books/month.
The grocery store is having a sale on apples. If you buy 8 pounds and it costs $16.00, what is the unit rate of price per pound?(1 point)
To find the unit rate of price per pound for the apples, we divide the total cost ($16.00) by the total weight in pounds (8 pounds).
Unit rate of price per pound = Total cost / Total weight
Unit rate of price per pound = $16.00 / 8 pounds
To simplify the calculation, we perform the division:
Unit rate of price per pound = $2.00/pound
Therefore, the unit rate of price per pound for the apples is $2.00/pound.
Tony was asked to bring root beer for root beer floats to the end of year class party. He is only given so much money for his budget. He finds a 64 oz. bottle for $3.20. What is the unit rate price per ounce?(1 point)
To find the unit rate price per ounce for the root beer, we divide the total cost ($3.20) by the number of ounces in the bottle (64 oz.).
Unit rate price per ounce = Total cost / Number of ounces
Unit rate price per ounce = $3.20 / 64 oz.
To simplify the calculation, we can divide both the numerator and denominator by a common factor (e.g., divide by 8):
Unit rate price per ounce = $0.05/oz.
Therefore, the unit rate price per ounce for the root beer is $0.05/oz.
Gloria is making flower arrangements for a wedding. She has a total of 112 flowers and 14 vases to fill. What is the unit rate of flowers per vase?(1 point)
Responses
To find the unit rate of flowers per vase, we divide the total number of flowers (112) by the number of vases (14).
Unit rate of flowers per vase = Total number of flowers / Total number of vases
Unit rate of flowers per vase = 112 flowers / 14 vases
To simplify the calculation, we perform the division:
Unit rate of flowers per vase = 8 flowers/vase
Therefore, the unit rate of flowers per vase is 8 flowers/vase.
Manny is making almond muffins for a mid-day snack. He makes 36 muffins and uses 4 cups of almonds. What is the unit rate of muffins per cup of almonds that he is using?(1 point)
To find the unit rate of muffins per cup of almonds, we divide the total number of muffins (36) by the number of cups of almonds (4).
Unit rate of muffins per cup of almonds = Total number of muffins / Total number of cups of almonds
Unit rate of muffins per cup of almonds = 36 muffins / 4 cups
To simplify the calculation, we perform the division:
Unit rate of muffins per cup of almonds = 9 muffins/cup
Therefore, the unit rate of muffins per cup of almonds that Manny is using is 9 muffins/cup.
Ruby is making friendship bracelets. She has a total of 156 beads to make bracelets for 12 friends. If she uses all of the beads, what is the unit rate of beads per bracelet?(1 point)
To find the unit rate of beads per bracelet, we divide the total number of beads (156) by the number of bracelets (12).
Unit rate of beads per bracelet = Total number of beads / Total number of bracelets
Unit rate of beads per bracelet = 156 beads / 12 bracelets
To simplify the calculation, we perform the division:
Unit rate of beads per bracelet = 13 beads/bracelet
Therefore, the unit rate of beads per bracelet that Ruby is using is 13 beads/bracelet.
Justin starts going to a new fitness class. His smart watch tracks a total of 72 active minutes in the week. If he attended the class 3 times, what is the unit rate of active minutes per class?(1 point)
To find the unit rate of active minutes per class, we divide the total number of active minutes (72) by the number of classes attended (3).
Unit rate of active minutes per class = Total number of active minutes / Total number of classes attended
Unit rate of active minutes per class = 72 minutes / 3 classes
To simplify the calculation, we perform the division:
Unit rate of active minutes per class = 24 minutes/class
Therefore, the unit rate of active minutes per class that Justin is achieving is 24 minutes/class.
Find the quotient of 12 and 127.(1 point)
To find the quotient of 12 and 127, we divide 12 by 127:
12 ÷ 127 = 0.094488..
Therefore, the quotient of 12 and 127 is approximately 0.0945 (rounded to 4 decimal places).
Find the quotient of 1/2 and 12/7.(1 point)
To find the quotient of 1/2 and 12/7, we divide 1/2 by 12/7:
(1/2) ÷ (12/7) = (1/2) × (7/12) = 7/24
Therefore, the quotient of 1/2 and 12/7 is 7/24.
What is 5/6÷6/7?(1 point)
To divide fractions, we multiply the first fraction by the reciprocal of the second fraction.
(5/6) ÷ (6/7) = (5/6) × (7/6)
To simplify the calculation, we multiply the numerators and denominators:
(5/6) × (7/6) = (5 × 7) / (6 × 6) = 35/36
Therefore, 5/6 ÷ 6/7 is equal to 35/36.
What is 2/3÷12/19?(1 point)
To divide fractions, we multiply the first fraction by the reciprocal of the second fraction.
(2/3) ÷ (12/19) = (2/3) × (19/12)
To simplify the calculation, we multiply the numerators and denominators:
(2/3) × (19/12) = (2 × 19) / (3 × 12) = 38/36
To simplify the fraction further, we can divide both the numerator and denominator by their greatest common divisor, which is 2:
38/36 = 19/18
Therefore, 2/3 ÷ 12/19 is equal to 19/18.
Question
Desiree is making guacamole for a party. The recipe she is using calls for 1/4 cup lime juice for every 4 avocados. If she plans to use 1 cup of lime juice, how many avocados does she need?(1 point)
To find the number of avocados Desiree needs, we need to set up a proportion based on the ratio of lime juice to avocados in the recipe.
The proportion can be set up as:
(1/4) cup lime juice / (4) avocados = (1) cup lime juice / (x) avocados
To solve for x, we can use cross-multiplication:
(x)(1/4) = (1)(4)
x/4 = 4
To isolate x, we multiply both sides of the equation by 4:
4(x/4) = 4(4)
x = 16
Therefore, Desiree needs 16 avocados.
Rubio decides he is going to walk to his friend's house, which is 1 mile from his house. He can walk at a pace of 23 mile in 16 minutes. At this rate, how long will it take him to get to his friend’s house?(1 point)
To find out how long it will take Rubio to get to his friend's house, we can use the unit rate of his walking pace.
Rubio walks at a pace of 23 miles in 16 minutes.
To find the time it takes him to walk 1 mile, we can set up a proportion:
23 miles / 16 minutes = 1 mile / x minutes
Cross-multiplying gives us:
23x = 16
To solve for x (the time to walk 1 mile), we divide both sides of the equation by 23:
x = 16 / 23
Using a calculator to evaluate this division gives us approximately:
x ≈ 0.6965
Thus, it will take Rubio approximately 0.6965 minutes, or about 41.79 seconds, to walk to his friend's house at this pace.
Rubio decides he is going to walk to his friend's house, which is 1 mile from his house. He can walk at a pace of 2/3 mile in 16 minutes. At this rate, how long will it take him to get to his friend’s house?(1 point)
To find out how long it will take Rubio to get to his friend's house, we can use the unit rate of his walking pace.
Rubio walks at a pace of 2/3 mile in 16 minutes.
To find the time it takes him to walk 1 mile, we can set up a proportion:
(2/3) mile / 16 minutes = 1 mile / x minutes
Cross-multiplying gives us:
(2/3)x = 16
To solve for x (the time to walk 1 mile), we multiply both sides of the equation by 3/2:
x = 16 * (3/2)
Simplifying this expression gives us:
x = 24 minutes
Thus, it will take Rubio 24 minutes to walk to his friend's house at this pace.
Find the quotient of 9/10 and 2/3.(1 point)
To find the quotient of fractions, we multiply the first fraction by the reciprocal of the second fraction.
(9/10) ÷ (2/3) = (9/10) × (3/2)
To simplify the calculation, we multiply the numerators and denominators:
(9/10) × (3/2) = (9 × 3) / (10 × 2) = 27/20
Therefore, the quotient of 9/10 and 2/3 is 27/20.
What is 3/10÷1/3?(1 point)
To divide fractions, we multiply the first fraction by the reciprocal of the second fraction.
(3/10) ÷ (1/3) = (3/10) × (3/1)
To simplify the calculation, we multiply the numerators and denominators:
(3/10) × (3/1) = (3 × 3) / (10 × 1) = 9/10
Therefore, 3/10 ÷ 1/3 is equal to 9/10.
Stacy is painting her bedroom. She is able to paint 3/4 of the bedroom in 3 hours. At this rate, how long will it take her to paint the entire room?(1 point)
To find out how long it will take Stacy to paint the entire room, we can use the rate at which she paints.
Stacy is able to paint 3/4 of the bedroom in 3 hours.
To find the time it will take her to paint the entire room, we can set up a proportion:
(3/4) of the room / 3 hours = 1 room / x hours
Cross-multiplying gives us:
(3/4)x = 3
To solve for x (the time to paint the entire room), we multiply both sides of the equation by 4/3:
x = 3 * (4/3)
Simplifying this expression gives us:
x = 12/3 = 4
Thus, it will take Stacy 4 hours to paint the entire room at this rate.
Miguel is returning from a trip. In 4 hours, he has driven 2/3 of the total distance. He wants to know how long the total drive will take. At this rate, what is the total time it will take him to reach his destination?(1 point
To find out the total time it will take Miguel to reach his destination, we can use the rate at which he has driven.
Miguel has driven 2/3 of the total distance in 4 hours.
To find the total time it will take him to reach his destination, we can set up a proportion:
(2/3) of the distance / 4 hours = 1 distance / x hours
Cross-multiplying gives us:
(2/3)x = 4
To solve for x (the total time to reach the destination), we multiply both sides of the equation by 3/2:
x = 4 * (3/2)
Simplifying this expression gives us:
x = 12/2 = 6
Thus, it will take Miguel 6 hours to reach his destination at this rate.
Iris is asked to sweep the gymnasium floor after a basketball game. This requires her to push a sweeper from one end of the gym to the other and repeating the pattern until she has covered the entire floor. She completes 2/3 of the floor in 1/3 of an hour. At this rate, how long will it take her to complete the entire floor?(1 point)
To find out how long it will take Iris to complete the entire floor, we can use the rate at which she sweeps.
Iris completes 2/3 of the floor in 1/3 of an hour.
To find the time it will take her to complete the entire floor, we can set up a proportion:
(2/3) of the floor / (1/3) hour = 1 floor / x hours
Cross-multiplying gives us:
(2/3)x = 1
To solve for x (the total time to complete the entire floor), we multiply both sides of the equation by 3/2:
x = 1 * (3/2)
Simplifying this expression gives us:
x = 3/2 = 1.5
Thus, it will take Iris 1.5 hours to complete the entire floor at this rate.
To find the unit rate of miles per gallon for Valerie's car, we divide the total number of miles (288 miles) by the total number of gallons of gasoline (16 gallons).
Unit rate of miles per gallon = Total number of miles / Total number of gallons
Unit rate of miles per gallon = 288 miles / 16 gallons
To simplify the calculation, we perform the division:
Unit rate of miles per gallon = 18 miles/gallon
Therefore, the unit rate of miles per gallon for Valerie's car is 18 miles/gallon.