Answer:

Step-by-step explanation:
we know that
If the floor of Cara's living room is 10 feet by 14 feet
then
the diameter of the larger circular rug that can fit in Cara's living room is equal to 10 feet
<em>Find the area of the circular rug</em>
The area of the circle is equal to

we have
----> the radius is half the diameter

substitute the values

Answer:
Step-by-step explanation:
10
The answer is 8. 40 / 31 = 1.29032258. Multiply that by 6 and you have 7.74193548. Round up because you can't buy 7.7 cans of dog food.
As y varies directly with x, there is a proportionality constant. As x increases by that certain constant, y also increases. We equate:
y = kx
where k = proportionality constant.
Given the condition, y = 5 when x = 4, then we solve for k:
5 = k(4)
k = 5/4 or 1.25
When y = 8, then
8 = (5/4)(x)
x = 8/(5/4) = (8)(4/5) = 32/5 or 6.4 (ANSWER)
Answer:
<h3>4x^2/3</h3>
Step-by-step explanation:
Given the expression (8x)^2/3
This can also be expressed as;
(8x)^2/3
= (2^3x)^2/3
= (2³)^2/3 * x^2/3
= 2^2 * x^2/3
= 4x^2/3
Hence the equivalent expression is 4x^2/3