Zya wants to paint her bedroom wall. If she completes 2/5 of the wall in 1/2 hour, how long will it take her to paint the whole wall?
*
2 points
3/10 of an hour
3/7 of an hour
2/10 of an hour
4/5 of an hour
To find how long it will take Zya to paint the whole wall, we need to find the reciprocal of 2/5 and multiply it by 1/2 hour. The reciprocal of 2/5 is 5/2.
(5/2) * (1/2) = 5/4
Therefore, it will take Zya 5/4 of an hour, which simplifies to 1 and 1/4 hours, or 1 hour and 15 minutes.
However, none of the answer choices provided match this result.
choose one pleas
None of the provided answer choices match the correct answer.
so choose one that is the best answer.👍
Given the provided answer choices, the closest option to the correct answer is "3/7 of an hour."
To find out how long it will take Zya to paint the whole wall, you need to determine how many increments of 2/5 of the wall can fit into the entire wall.
Zya completes 2/5 of the wall in 1/2 hour. This means that in 1/2 hour, she paints 2/5 of the wall.
To determine how many increments of 2/5 are needed to paint the entire wall, you can set up a proportion:
(2/5) / (1/2) = 1 / x
Here, "x" represents the amount of time it will take Zya to paint the whole wall.
To solve this proportion, you can cross-multiply:
2/5 * x = 1 * 1/2
2x = 1/2
Now, divide both sides of the equation by 2:
x = (1/2) / 2
x = 1/4
Therefore, Zya will take 1/4 hour to paint the whole wall.
Now, let's simplify 1/4 hour.
Since 1 hour is equal to 60 minutes, 1/4 hour is equal to 1/4 * 60 = 15 minutes.
So, it will take Zya 15 minutes to paint the whole wall.
Therefore, the correct answer is 15 minutes, which is equivalent to 1/4 of an hour.