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 $1800. What was the rate charged per hour by each mechanic if the sum of the two rates was $150 per hour?

The mechanic who worked 5 hours charged $45 per hour while the mechanic who worked for 15 hours charged $105 per hour.

Step-by-step explanation:

Let x be the rate of mechanic who worked 5 hours

And y, the rate of mechanic who worked 15 hours

Represent the question in an equation

x + y = 150 equation 1

5x + 15y = 1800equation 2

x + y = 150, x = 150 -y

Substitute the value of x into equation 2 to get y

= 5 (150 -y) + 15y = 1800

Then open the bracket

750 - 5y + 15y = 1800

750 + 10y = 1800

10y = 1800 - 750

10y= 1050 (divide both sides by 10)

y = 1050/10

y = 105

Substitute the value of y into equation 1 to get the value of x

x + 105 = 150

x = 150 - 105

x = 45

Therefore, the mechanic who worked 5 hours charged $45 per hour while the mechanic who worked for 15 hours charged $105 per hour.

I hope this is clear, mark as brainliest please

(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

14 ft 7 inches

step-by-step explanation:

since each model inch corresponds to 25 real inches, 7 model inches will correspond to

7×25" = 175"

at 12" per foot, that is 14 feet, 7 inches.