1 carton : 8 boxes for 2.80 = 2.80/8 = 0.35 per box (All natural juice)
1 carton : 6 boxes for 1.98 = 1.98/6 = 0.33 per box (Just juice)
difference between the 2 is 0.02 (2 cents)
if she paid 7.92 for x cartons of Just Juice, 7.92 / 0.33 = 24 boxes...and there are 6 boxes per carton.....24/6 = 4 cartons were bought for $ 7.92
price for same number of juice boxes of All Natural juice is :
24 * 0.35 = $ 8.40
Answer:
300 miles
Step-by-step explanation:
Let
x ----> the number of miles
y ----> the total cost for rent a car
we know that
The equation of the line in slope intercept form is equal to

where
m is the slope or unit rate
b is the y-intercept or initial value
<u><em>Prestige car rentals</em></u>
we have that
The slope is equal to 
The y-intercept is 
therefore
-----> equation A
<u><em>Gateway auto</em></u>
we have that
The slope is equal to 
The y-intercept is 
therefore
-----> equation B
For what number of miles both companies charge the same price>
Equate equation A and equation B

solve for x

Using the Pythagorean identity, the value of the cosine ratio is 
<h3>How to determine the cosine ratio?</h3>
The given parameter is:

By the Pythagorean identity, we have:

So, we have:

This gives

Evaluate

Take LCM

This gives

Take the square root of both sides

Cosine is positive in the fourth quadrant.
So, we have:

Hence, the cosine value is 
Read more about Pythagorean identity at:
brainly.com/question/1969941
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Here is the explanation. I hope this helps!