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vitfil [10]
2 years ago
11

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 $2125. What was the rate charged per hour by each mechanic if the sum of the two rates was $205 per hour?
Mathematics
1 answer:
Lunna [17]2 years ago
5 0

Answer:

The mechanic who worked 5 hours charged $115 per hour, the one who worked 15 hours charged $120 per hour.

Step-by-step explanation:

x = rate of mechanic who worked 5 hours

y = rate of mechanic who worked 15 hours

Then

x + y = 235

5x + 15y = 2375

Just solve these 2 equations above for x and y.

x + y = 235 ⇒ x = 235 - y

Substitute into second equation to find y.

5(235 - y) + 15y = 2375

1175 - 5y + 15y = 2375

10y = 1200

y = 1200/10 = 120

x = 235 - y = 235 - 120 = 115

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\displaystyle\\Answer:\ K=\frac{5}{9}(F-32^0)+273.15^0

Step-by-step explanation:

\displaystyle\\F=\frac{9}{5} (K-273.15)+32\\F-32=\frac{9}{5} (K-273.15)+32-32\\F-32=\frac{9}{5} (k-273.15)\\Multiply\  both\  parts\  of\  the\  equation\  by\ \frac{5}{9} \\(\frac{5}{9})(F-32)=\frac{9}{5}  (K-273.15)(\frac{5}{9} )\\\\\frac{5}{9} (F-32)=K-273.15\\\\\frac{5}{9} (F-32)+273.15=K-273.15+273.15\\\\\frac{5}{9} (F-32)+273.15=K

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