Find the quotion 1/2 and 12/7 (1 point)

The quotient of 1/2 and 12/7 is equal to 7/24.

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 like juice, how many avocados does she need (1 point)

If the recipe calls for 1/4 cup lime juice for every 4 avocados, and Desiree plans to use 1 cup of lime juice, then we can set up a proportion to find the number of avocados she needs.

1/4 cup lime juice = 4 avocados
1 cup lime juice = x avocados

Cross-multiplying the proportion, we get 1/4 * x = 1 * 4.
This simplifies to x/4 = 4.

To solve for x, we multiply both sides of the equation by 4.
x = 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 2/3 mile in 16 minutes. At this rate, how long will it take him to get to his friend's house? (1 point)

If Rubio can walk at a pace of 2/3 mile in 16 minutes, we can set up a proportion to find out the time it will take him to walk 1 mile.

2/3 mile = 16 minutes
1 mile = x minutes

Cross-multiplying the proportion, we get (2/3) * x = 1 * 16.
This simplifies to (2/3)x = 16.

To solve for x, we multiply both sides of the equation by 3/2.
x = 16 * (3/2)
x = 24.

Therefore, it will take Rubio 24 minutes to walk to his friend's house.

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)

If Stacy can paint 3/4 of the bedroom in 3 hours, we can set up a proportion to find out how long it will take her to paint the entire room.

3/4 of the room = 3 hours
1 whole room = x hours

Cross-multiplying the proportion, we get (3/4) * x = 1 * 3.
This simplifies to (3/4)x = 3.

To solve for x, we multiply both sides of the equation by 4/3.
x = 3 * (4/3)
x = 4.

Therefore, it will take Stacy 4 hours to paint the entire room.

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)

If Miguel has driven 2/3 of the total distance in 4 hours, we can set up a proportion to find out the total time it will take him to reach his destination.

2/3 of the distance = 4 hours
1 whole distance = x hours

Cross-multiplying the proportion, we get (2/3) * x = 1 * 4.
This simplifies to (2/3)x = 4.

To solve for x, we multiply both sides of the equation by 3/2.
x = 4 * (3/2)
x = 6.

Therefore, it will take Miguel a total of 6 hours to reach his destination.

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)