Answer:
The dimensions of the screen are
Length:102 feet
Width: 82 feet
Step-by-step explanation:
we know that
The area of the rectangle (movie screen) is equal to

where
L is the length
W is the width
we have

so
----> equation A
The screen is 20 feet longer than it is wide.
so
---> equation B
substitute equation B in equation A

solve for W

solve the quadratic equation by graphing
the solution is W=82 ft
see the attached figure
Find the value of L

therefore
The dimensions of the screen are
Length:102 feet
Width: 82 feet
<h2>
Answer:</h2>
12
<h2>
Step-by-step explanation:</h2>
<u><em>The mean is also the average.</em></u>
Add up all the number of students all together:
12+13+14+9
48
Now, Divide the total amount of students (48) by the amount of numbers you added (in this case, 48/4 because we added 4 numbers wich are 12+13+14+9)
The average amount of students is 12
Answer:
yes
Step-by-step explanation:
Answer:
14 pints of 20% juice
56 pints of 95% juice
Step-by-step explanation:
Let
x be pints of 20% pure fruit juice, thus
70 - x will be pints of 95% pure fruit juice
The equation, thus can be written as:
20%x + 95% (70-x) = 80% (70)
Solving for x:

And 70 - x would be 70 - 14 = 56
Thus,
14 pints of 20% juice is needed, and
56 pints of 95% juice is needed