Answer:
it's a) 7a/20b
Step-by-step explanation:
![5( \frac{a + 2}{4b} ) - 2( \frac{a - 1}{10b} ) + 4( \frac{a - 3}{5b} ) \\ \\ \frac{5a + 10 - 2a + 2 + 4a - 12}{20b } \\ \\ \\ \frac{7a}{20b}](https://tex.z-dn.net/?f=5%28%20%5Cfrac%7Ba%20%2B%202%7D%7B4b%7D%20%29%20-%202%28%20%5Cfrac%7Ba%20-%201%7D%7B10b%7D%20%29%20%2B%204%28%20%5Cfrac%7Ba%20-%203%7D%7B5b%7D%20%29%20%5C%5C%20%20%5C%5C%20%20%5Cfrac%7B5a%20%2B%2010%20-%202a%20%2B%202%20%2B%204a%20-%2012%7D%7B20b%20%7D%20%20%5C%5C%20%20%5C%5C%20%20%5C%5C%20%20%5Cfrac%7B7a%7D%7B20b%7D%20)
Answer:
The dimensions are:
by ![(7x+5)](https://tex.z-dn.net/?f=%287x%2B5%29)
Step-by-step explanation:
The area of the rectangle is given as
![A=42x^2+51x+15](https://tex.z-dn.net/?f=A%3D42x%5E2%2B51x%2B15)
The factored form of this quadratic trinomial gives the dimensions of the rectangle.
We factor 3 first to obtain;
![A=3(14x^2+17x+5)](https://tex.z-dn.net/?f=A%3D3%2814x%5E2%2B17x%2B5%29)
We split the middle term to get;
![A=3(14x^2+10x+7x+5)](https://tex.z-dn.net/?f=A%3D3%2814x%5E2%2B10x%2B7x%2B5%29)
We factor within the parenthesis to get;
![A=3(2x(7x+5)+1(7x+5))](https://tex.z-dn.net/?f=A%3D3%282x%287x%2B5%29%2B1%287x%2B5%29%29)
We factor further to get;
![A=3(2x+1)(7x+5)](https://tex.z-dn.net/?f=A%3D3%282x%2B1%29%287x%2B5%29)
The dimensions are:
by ![(7x+5)](https://tex.z-dn.net/?f=%287x%2B5%29)
Then the perimeter will be
![2(6x+3+7x+5)=26x+16\:\:\:\boxed{\sqrt{} }](https://tex.z-dn.net/?f=2%286x%2B3%2B7x%2B5%29%3D26x%2B16%5C%3A%5C%3A%5C%3A%5Cboxed%7B%5Csqrt%7B%7D%20%7D)
B. Because 20 is greter than 18.
Answer:
A car dealership needs $13050 to sell the car to earn the 45% profit if a car dealership buys a car for $9000.
Step-by-step explanation:
Car cost = $9000
Profit percentage = 45% profit
Thus,
Profit amount = 45% of 9000
= 45/100 × 9000
= 0.45 × 9000
= $4050
In order to determine how much a car dealership needs to sell the car to earn the 45% profit, all we need is to add the profit amount i.e. $4050, and the car cost i.e. $9000.
i.e.
Car cost + Profit amount = $9000 + $4050
= $13050
Therefore, a car dealership needs $13050 to sell the car to earn the 45% profit if a car dealership buys s car for $9000.
The answer is -8/15. This is a for sure correct answer.