Let s represent the length of any one side of the original square. The longer side of the resulting rectangle is s + 9 and the shorter side s - 2.
The area of this rectangle is (s+9)(s-2) = 60 in^2.
This is a quadratic equation and can be solved using various methods. Let's rewrite this equation in standard form: s^2 + 7s - 18 = 60, or:
s^2 + 7s - 78 = 0. This factors as follows: (s+13)(s-6)=0, so that s = -13 and s= 6. Discard s = -13, since the side length cannot be negative. Then s = 6, and the area of the original square was 36 in^2.
Answer: 2/3
Step-by-step explanation:
5/9 and 5/6 doesn't have the same denominator. So 5/9 changes to 10/18, while 5/6 changes to 15/18.
10/18 divided by 15/18= 10/18 x 18/15 = 180/270
180/270= 2/3
Answer:
They should sell 20 band posters.
Step-by-step explanation:
24 is 1/5 of 120 so we must find what 1/5 of 100 is.
it is 20.
