37
Line up the data, separate into quarters
Take the highest number in the 3rd quarter from the lowest in the 2nd
It is <em>1/100 . It is simple </em>
The simplified expression would be 3s + 15.
In order to find this we need to write an equation for the longest side. Since it's 3 more than twice as much as the smallest side (s), we can express it as 2s + 3. Now we simply add all 3 together and simplify.
2s + 3 + 12 + s -----> simplify
3s + 15
Answer:
![\large\boxed{C.\ 9\ inches\ squared}](https://tex.z-dn.net/?f=%5Clarge%5Cboxed%7BC.%5C%209%5C%20inches%5C%20squared%7D)
Step-by-step explanation:
![\text{Use}\\\\a^\frac{m}{n}=\sqrt[n]{a^m}\\\\a^n\cdot a^m=a^{n+m}\\-----------------\\\\length=\sqrt[3]{81}=\sqrt[3]{3^4}=3^\frac{4}{3}\\\\width=3^\frac{2}{3}\\\\\text{The area of a rectangle:}\ A=width\cdot length.\\\text{Substitute:}\\\\A=3^\frac{4}{3}\cdot3^\frac{2}{3}=3^{\frac{4}{3}+\frac{2}{3}}=3^{\frac{4+2}{3}}=3^\frac{6}{3}=3^2=9](https://tex.z-dn.net/?f=%5Ctext%7BUse%7D%5C%5C%5C%5Ca%5E%5Cfrac%7Bm%7D%7Bn%7D%3D%5Csqrt%5Bn%5D%7Ba%5Em%7D%5C%5C%5C%5Ca%5En%5Ccdot%20a%5Em%3Da%5E%7Bn%2Bm%7D%5C%5C-----------------%5C%5C%5C%5Clength%3D%5Csqrt%5B3%5D%7B81%7D%3D%5Csqrt%5B3%5D%7B3%5E4%7D%3D3%5E%5Cfrac%7B4%7D%7B3%7D%5C%5C%5C%5Cwidth%3D3%5E%5Cfrac%7B2%7D%7B3%7D%5C%5C%5C%5C%5Ctext%7BThe%20area%20of%20a%20rectangle%3A%7D%5C%20A%3Dwidth%5Ccdot%20length.%5C%5C%5Ctext%7BSubstitute%3A%7D%5C%5C%5C%5CA%3D3%5E%5Cfrac%7B4%7D%7B3%7D%5Ccdot3%5E%5Cfrac%7B2%7D%7B3%7D%3D3%5E%7B%5Cfrac%7B4%7D%7B3%7D%2B%5Cfrac%7B2%7D%7B3%7D%7D%3D3%5E%7B%5Cfrac%7B4%2B2%7D%7B3%7D%7D%3D3%5E%5Cfrac%7B6%7D%7B3%7D%3D3%5E2%3D9)
Answer:
The number of skateboards of each color is 11 and 4
Step-by-step explanation:
Let x represent blue skateboards and
y represent red skateboards.
From the question, the total number of skateboards is 15, that is,
x + y = 15 ...... (1)
and their product is 44, that is,
xy = 44 ...... (2)
From equation (1),
x + y = 15
We can write that
x = 15 - y ...... (3)
Substitute this into equation (2)
xy = 44
(15-y)y = 44
15y -y² = 44
Then,
y² - 15y + 44 = 0
Solve quadratically
y² -4y -11y + 44 = 0
y(y-4) -11(y-4) = 0
(y-11)(y-4) = 0
y-11 = 0 OR y-4 = 0
y = 11 OR y = 4
Put the values of y into equation (3) for x
x = 15 - y
When y = 11
x = 15 - 11
x = 4
and when y = 4
x = 15 -4
x = 11
(4,11) and (11,4)
It is either 4 blue and 11 red skateboards OR 11 blue and 4 red skateboards.
Hence, the number of skateboards of each color is 11 and 4.