Two mechanics worked on a car. the first mechanic worked for 5 hours, and the second mechanic worked for 15 hours. together they charged a total of $1225. what was the rate charged per hour by each mechanic if the sum of the two rates was $125 per hour?

Alright, lets get started.

Suppose first mechanic charges= x

So, second mechanic charges will be = (because total of their rates was 125)

first mechanic worked for 5 hours, and the second mechanic worked for 15 hours and together they charged a total of $1225

Means

Adding 10 x in both sides

Subtracting 1225 from both sides

Dividing 10 in both sides

x = 65

For second mecahnics rate = 125 - 65 = 60

Hence The mechanic who worked 5 hours charged $ 65 per hour, the one who worked 15 hours charged $ 60 per hour: Answer

Hope it will help :)

(2x + 16) + (x) = 180

step-by-step explanation:

given,

abcd is a quadrilateral inscribed in a circle

angle a is labeled x plus 16, (x + 16)

angle b is labeled x degrees, (x)

angle c is labeled 6x minus 4, (6x – 4)

angle d is labeled 2x plus 16, (2x + 16)

what equation can be used to solve for angle b?

we know that the sum of the opposite angles of a simple quadrilateral inscribed in a circle is 180 degrees.

angle b is opposite angle d

therefore, angle b + angle d = 180

(x) + (2x + 16) = 180 

same as (2x + 16) + (x) = 180

e^-kt = n/n0 = 0.79  

-kt = ln 0.79  

t = - ln 0.79/0.0001  

= 2357 years

step-by-step explanation: