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)

9/4 hours

4 hours

6 hours

12 hours

only for Connexus Students

Q1 .Find the quotient of 9/10 and 2/3
A1. 27/20

Q2. What is 3/10÷1/3
A2. 9/10

Q3. 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?
A3. 4 hours

Q4.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?
A4. 6 hours

Q5. Lenny buys 5/8 yd. of ribbon for every 2 yd. of fabric for a project. What is the unit rate of ribbon to fabric?
A5. 1 5/16

To find out how long it will take Miguel to reach his destination, we need to find out how many sets of 2/3 hours are equivalent to 1 whole hour.

If Miguel can drive 2/3 of the total distance in 4 hours, then he can drive 1/3 of the distance in 2 hours (since 2/3 divided by 4 is 1/3).

Therefore, it will take him 3 sets of 2 hours to drive the entire distance.

So, it will take him 6 hours to reach his destination.

Answer: 6 hours

To find out how long it will take Stacy to paint the entire room, we need to find out how many sets of 3/4 hours are equivalent to 1 whole hour.

If Stacy can paint 3/4 of the room in 3 hours, then she can paint 1/4 of the room in 1 hour (since 3/4 divided by 3 is 1/4).

Therefore, it will take her 4 sets of 1/4 hours to paint the entire room.

So, it will take her 4 hours to paint the entire room.

Answer: 4 hours

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)

6 hours

8/3 hours

12 hours

8 hours

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)

1 1/2

1/2 hours

2/3 hours

1 hour

To find out how long it will take Iris to complete the entire floor, we need to find out how many sets of 2/3 hours are equivalent to 1 whole hour.

If Iris completes 2/3 of the floor in 1/3 of an hour, then she can complete 1/3 of the floor in 1/6 of an hour (since 2/3 divided by 1/3 is 2/6, which simplifies to 1/3).

Therefore, it will take her 3 sets of 1/6 hours to complete the entire floor.

So, it will take her 3/6 = 1/2 hour to complete the entire floor.

Answer: 1/2 hours

To find out how long it will take Stacy to paint the entire room, we need to determine how long it takes her to paint 1/4 of the room.

If Stacy is able to paint 3/4 of the room in 3 hours, we can set up a proportion to find the time it takes to paint 1/4 of the room.

Let x represent the time it takes to paint 1/4 of the room.

So we have the proportion:

(3/4) / 3 = (1/4) / x

To solve this proportion, we can cross multiply:

(3/4) * x = (1/4) * 3

Now simplify both sides of the equation:

3x/4 = 3/4

Cross multiplication tells us that the numerator of one fraction times the denominator of the other equals the numerator times the denominator of the first fraction. So, 3x/4 = 3/4 simplifies to:

3x = 3

Now solve for x by dividing both sides of the equation by 3:

3x/3 = 3/3

x = 1

Therefore, it takes Stacy 1 hour to paint 1/4 of the room.

Since the question asks for the time it will take her to paint the entire room, which is made up of 4 quarters, we multiply the time it takes to paint 1/4 of the room by 4:

1 hour * 4 = 4 hours

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

So the correct answer is 4 hours.