Given:
The function models the number of movie theaters in the United States t years after 1985.

To find:
The year in which the United States will have 35,000 movie theaters.
Solution:
We have,

Putting f(t)=35000, we get



Divide both sides by 750.


It means, United States will have 35,000 movie theaters 20 years after 1985.

Therefore, United States will have 35,000 movie theaters is 2005.
$36/n because since there are n amount of tickets, you should divide $36 by n. I feel like you won't get me. For instance, let's say n is 6 tickets. So if 6 tickets are for $36, you should divide $36 by 6 tickets to find the unit rate. Hope this helps.
Answer:
quantity of red paint = 12.5 gallons
quantity of blue paint = 7.5 gallons
Step-by-step explanation:
Ratio of red and blue paint : 5:3
in ratio
a:b = ax:bx
let the
quantity of red paint be 5x
quantity of blue paint be 3x
then quantity of purple paint = quantity of red paint + quantity of blue paint
= 8x
given quantity of purple paint is 20 gallons
thus,
8x = 20
x = 20/8 = 2.5
thus,
quantity of red paint = 5x = 5*2.5 = 12.5 gallons
quantity of blue paint = 3x = 3x*2.5 = 7.5 gallons
Answer:
or 
Step-by-step explanation:
To solve the quadratic equation we must factor the expression
Look for 2 numbers that when you multiply them, obtain the result -100 and when you add them, obtain the result -15.
You can verify that these numbers are -20 and 5

Then the polynomial factors are

The zero product property says that if two terms
then
or 
So
or 
or 
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