80x+30
-30x-30
=50x
You subtract 30 from each side
The total space in the parking lot is 1600 cars
It is mentioned that
parts of this parking is filled
Now we are required to find what is the three-fourths part of 1600
To find it we multiply
times 1600

= 
=
= 1200 cars
Hence 1200 cars fills the three-fourths of the car parking lot that has a capacity of 1600 cars
9514 1404 393
Answer:
11) x = 9
12) x = 9
Step-by-step explanation:
11) Corresponding segments are proportional, so ...
x/6 = 12/8
x = 6(12)/8 . . . multiply by 6
x = 9
__
12) Similar triangle relationships show you the geometric mean relationship that applies in this case.
long side/short side = x/3 = 27/x
x² = 3·27 . . . . . . cross multiply
x = √(3·27) . . . . geometric mean relationship
x = 9
Answer:
A, 0.5(x)(x+2)=24, D, x²+2x-48=0, and E, x²+(x+2)²=100
Step-by-step explanation:
A and D are correct because they simply involve the Area of a Triangle formula. A has the formula in the same format, but D has the 0.5 divided from by both sides.
E, on the other hand, uses the Pythagorean theorem to solve for both legs.