The depth of a wading pool during a rainstorm was 1.5x+24 inches after it had been raining for x hours. How many inches per hour
1 answer:
Answer: The required inches per hour rate of rainfall is given by
Explanation:
Since we have given that
the depth of a wading pool during a rainstorm = 1.5x+24 inches
Number of hours it had been raining = x hours
We need to calculate the inches per hour , so we use division operation, and we divide the depth of a wading pool with number of hours.
So, it becomes ,
So, the required inches per hour rate of rainfall is given by
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Answer: Choice B
(-2, 5)
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Explanation:
The original system is
Multiply both sides of the second equation by 3. Doing so leads to this updated system of equations
Now add straight down
The x terms add to -4x+3x = -1x = -x
The y terms add to 3y+(-3y) = 0y = 0
The terms on the right hand sides add to 23+(-21) = 2
We end up with the equation -x = 2 which solves to x = -2
Now use this to find y. You can pick any equation with x,y in it
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-4x+3y = 23
-4(-2)+3y = 23
8+3y = 23
3y = 23-8
3y = 15
y = 15/3
y = 5
Or
x-y = -7
-2-y = -7
-y = -7+2
y = -5
y = 5
Either way, we get the same y value.
So that's why the solution is (x,y) = (-2, 5)