Two mechanics worked on a car. the first mechanic worked for 10 hours, and the second mechanic worked for 15 hours. together they charged a total of $ 2650 . what was the rate charged per hour by each mechanic if the sum of the two rates was $ 205 per hour?

The first rate was 120

The second rate was 85

Step-by-step explanation:

r1 = x

r2 = y

10*x + 15*y = 2650

 x + y = 205               Multiply this equation by 10

10x + 10y = 2050       Subtract this equation from the top equation.

10x + 15y = 2650

10x + 10y = 2050

5y = 600

y = 600/5

y = 120

x + y =   205

x + 120 = 205

x = 205 - 120

x = 85

the answer is b.)

< 1=< 2

b. 6

step-by-step explanation:

we are given the table representing an exponential function.

we can see from the table that, as x is increasing, the value of y is increasing in the power of 6.

i.e. the following relation is obtained,

x = 1, y = 6

x = 2, y = 36 =

x = 3, y = 216 =

x = 4, y = 1296 =

x = 5, y = 7776 =

so, the geometric series obtained is .

thus, the common ratio is given by = = 6.

hence, the common ratio is 6.