Answer:

Step-by-step explanation:
Given

Required
Simplify

Open brackets

Collect Like Terms

Simplify like terms

Answer: Mike's arm span is 7.165 cm longer than the George's one.
Step-by-step explanation:
We have that the association between height and arm span is modeled by the equation
y = 4.5 + 0.977*x
where y is height and x is arm span.
Mike is 172 cm tall, so his arm span is:
172cm = 4.5 + 0.977*x
x = (172 - 4.5)/0.977 = 171.443 cm
and George is 165 cm tall, so his arm span is:
x = (165 - 4.5)/0.977 = 164.278 cm
Then the difference between their arm span is:
171.443cm - 164.278cm = 7.165 cm
So Mike's arm span is 7.165 cm longer than the George's one.
There are 4 quarts in a gallon. So 8 gallons is the same as 32 quarts.
If he used all but 1 quart, that means he used 31 quarts.
Answer:
31 quarts
Hoped that helped
Answer:
wire left for square = 100 - (14+14+4+4) cm
= (100 - 36) cm
= 64 cm
so
side of square = 64/4 = 16 cm
Answer:
p^3 / q^12
Step-by-step explanation:
p^6 q^4
------------------
p^3 q^16
We know a^b / a^c = a^(b-c)
First with variable p
p^6 / p ^3 = p^(6-3) = p^3
Then with variable q
q^4 / q^16 = q^(4-16) = q^-12 and a^-b = 1/ a^b = 1 /q^12
p^3 * 1/ q^12
p^3 / q^12