x = the number of miles
y = the total cost
Company A:
0.60x + 60 = y [Company A charges $60 plus $0.60 per mile(x)]
Company B:
0.90x + 30 = y [Company B charges $30 plus $0.90 per mile(x)]
To find the number of miles where the costs for both companies are the same, you can set the equations equal to each other as the costs(y) are the same:
y = y Substitute the equations into "y" (substitute (0.60x + 60) and (0.90x + 30) into "y" since y = 0.60x + 60 and y = 0.90x + 30)
0.60x + 60 = 0.90x + 30 To find x, isolate/get the variable "x" by itself. Subtract 30 on both sides
0.60x + 60 - 30 = 0.90x + 30 - 30
0.60x + 30 = 0.90x Subtract 0.60x on both sides to get "x" on one side of the equation
0.60x - 0.60x + 30 = 0.90x - 0.60x
30 = 0.30x Divide 0.30 on both sides to get "x" by itself
100 = x 100 miles
(if you need to find out the cost where both companies cost the same, you can substitute/plug in the value of x into one of the equations.)
0.60x + 60 = y Plug in 100 into "x" since x = 100
0.60(100) + 60 = y
120 = y At 100 miles, both companies cost $120
Answer: i believe it would be option a.
Step-by-step explanation:
ANSWER: 46.8
39% of 120
The word "of" means multiplied. So you will have to multiply 39% x 120
To do that, first step is to change the percent (39%) into a decimal
39% = 0.39 (You move the decimal twice to the left, not right)
There's an invisible decimal behind 9 so ALWAYS move it twice.
= 39(.)⇒ 0.39
Then your final step is to multiply
120 x 0.39
1 2 0
x 0 . 3 9 ← notice this decimal
_______ ∨
1 0 8 0 ∨
+ 3 6 0 0 ∨
_______ ∨
4 6 8 0 There's an invisible decimal before the 0. Move that decimal two times to the left. 4680(.)⇒ 46.8
Y=-6/5x-7/5
You add it and move it to the other side
y+6/5x=-7/5
Multiply both sides by 5
5y+6x=-7
Rearrange
6x+5y=-7
First you need to solve for how much you lose for each individual tax, so 420x.0765 will give you how much money you lose to social security tax, then do the same for the other types and add them together, the value will give you the amount you have lost, so taking the total (420) minus the amount lost you will have the amount that you can "take home"
So 420-((420x.0765)+(420x.22)+(420x.0595)) = amount still in your pocket
