1. Rodney can pick 2 rows of string beans in 1 hour and 24 minutes. At this rate, how long will it take him to pick 7 rows of beans?
2. The formula for finding the perimeter of a rectangle is P=21+2w. Which equation solves for w in terms of l and P?
1.
Cross multiply and solve for x.
2/1.4 = 7/x
2.
What are your choices?
1.
1 h = 60 min
1 h 24 min = 84 min
( 7 / 2 ) * 84 min = 7 * 84 / 2 = 588 / 2 = 294 min
4 h = 4 * 60 = 240 min
294 min = 240 min + 54 min
294 min = 2 h 54 min
2.
P = 2 l + 2 w
P - 2 l = 2 w
2 w = P - 2 l Divide both sides by 2
w = ( P - 2 l ) / 2
OR
w = ( P / 2 ) - l
1. To find out how long it will take Rodney to pick 7 rows of beans, we need to figure out how many rows he can pick in one hour and 24 minutes, and then divide 7 by that number.
First, let's convert 1 hour and 24 minutes into minutes. We know that there are 60 minutes in an hour, so 1 hour is equal to 60 minutes. Therefore, 1 hour and 24 minutes is equal to 60 + 24 = 84 minutes.
Next, we need to determine how many rows Rodney can pick in 84 minutes. We know that he can pick 2 rows in 84 minutes.
Now, we can set up a proportion to find out how long it will take him to pick 7 rows:
2 rows / 84 minutes = 7 rows / x minutes
To solve for x, we can cross multiply:
2 * x = 7 * 84
2x = 588
Dividing both sides of the equation by 2, we get:
x = 294
Therefore, it will take Rodney 294 minutes to pick 7 rows of string beans.
2. The given formula to find the perimeter of a rectangle is P = 2l + 2w, where P represents the perimeter, l represents the length, and w represents the width.
To solve for w in terms of l and P, we need to isolate w on one side of the equation. Let's rearrange the equation:
P = 2l + 2w
Subtract 2l from both sides of the equation:
P - 2l = 2w
Divide both sides by 2:
(P - 2l) / 2 = w
Simplifying further:
w = (P - 2l) / 2
So, the equation that solves for w in terms of l and P is w = (P - 2l) / 2.