2.8 miles.
My Work/Reasoning:
First we find the rate. 7/60 mpm (miles per minutes)
Then we multiply that by 24. 7/60 * 24
Finally, we solve the equation and learn that Chang would run 2.8 miles in 24 minutes.
Answer:
(a) x + 3(x + 4) = 5(x + 2) - 5
(b) youngest: 7 years old
middle: 9 years old
oldest: 11 years old
Step-by-step explanation:
(a)
We know that x is the youngest child's age. Since the sisters' ages are consecutive odd integers, we know that the ages differ by 2. So, the middle sister's age is x + 2 and the oldest sister's age is x + 4.
Our equation to model the sentence "the sum of the age of the youngest and three times the age of the oldest is five less than five times the middle sister's age" would be:
x + 3 * (x + 4) = 5 * (x + 2) - 5
x + 3(x + 4) = 5(x + 2) - 5
(b)
Now, we can just solve the equation above:
x + 3(x + 4) = 5(x + 2) - 5
x + 3x + 12 = 5x + 10 - 5
4x + 12 = 5x + 5
x = 12 - 5 = 7
So, the youngest sister is 7 years old.
That means the middle sister is 7 + 2 = 9 years old, and the oldest sister is 9 + 2 = 11 years old.
The ages, then, are:
youngest: 7 years old
middle: 9 years old
oldest: 11 years old
<h2>
Explanation:</h2>
We know that Karen operates a hot dog stand. So we have:
<u>On Wednesday:</u>
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<u>On Thursday:</u>
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Therefore, if x is the amount of hot dog buns she used on Thursday, then:

Therefore, on Thursday she used 28/9 bags of hot dog buns.
We know that a linear equation has a straight line graph. The graph represents an exponential equation or a quadratic equation. So the answer is B. Exponential