Answer:
Answer: 10.875
Step-by-step explanation:
Let the short side be x.
Then the long side is 3x.
There are two opposite sides of each length, so the perimeter is
3x + 3x + x + x = 8x
The perimeter is 29, so we get the equation
8x = 29
Solve for x by dividing both sides by 8.
x = 29/8
x = 3.625
The longer side is 3x.
3x = 3(3.625) = 10.875
Answer: 10.875
Answer:
2x-10
Step-by-step explanation:
you have to distribute your parentheses to the 2
Yes it does because it passes the vertical line test
Answer:
C 20
Step-by-step explanation:
Set up equations:
Laguna's Truck Rentals
y = 2x + 20
Where x is the number of miles driven and y is the total price
<em>How did we get to this equation?</em>
Well, the company charges $2 for every mile driven. Therefore, by multiplying 2 and x, you will find the price paid per mile. The 20 (which represents $20) is the one-time payment you pay for simply using the service.
Salvatori's Truck Rentals
y = 3x
Where x is the number of miles driven and y is the total price
<em>How did we get to this equation?</em>
For this company, you only pay for how many miles you drive. There isn't a one-time payment like there is for Laguna's Truck Rentals. Therefore, you only need to multiply the price per mile ($3) by the number of miles driven (x).
Set the equations equal to each other:
2x + 20 = 3x
<em>Why would you do this?</em>
We need to set the equations equal to each other because we need to find the point at which the prices are the same. When two things are the same, they are equal. Therefore, we get rid of the y variable (which represents the total price) because we want to find the value of x when the equations are equal to one another.
Solve:
2x + 20 = 3x
Subtract 2x on both sides:
2x + 20 = 3x
-2x -2x
20 = x
When x is equal to 20, or when the number of miles driven is 20, the total price of the Truck Rental services is the same.
Hope this helps :)
The GCF we factor out is 4a
8ab = 4a*2b
16ac = 4a*4c
12a = 4a*3
Each term has been factored so that 4a is a factor
Using those factorizations, we can use the distributive property in reverse
8ab - 16ac + 12a = 4a*2b - 4a*4c + 4a*3
8ab - 16ac + 12a = 4a*(2b - 4c + 3)
Answer is choice A<span />
