Two mechanic worked on a car. the first mechanic worked for 19 hours, and the second mechanic worked for 15 hours. together they charged a total of $2550. what was the rate charged per hour by each mechanic if the sim of the two rates was $205 per hour?

she will travel a distance in the range of 3 - 11 miles

answer: solve 5\cdot 2^x=2405⋅2  

x

=2405, dot, 2, start superscript, x, end superscript, equals, 240.

solution

to solve for xxx, we must first isolate the exponential part. to do this, divide both sides by 555 as shown below. we do not multiply the 555 and the 222 as this goes against the order of operations!

\begin{aligned} 5\cdot 2^x& =240 2^x& =48 \\ \end{aligned}  

5⋅2  

x

2  

x

​    

=240

=48

​

step-by-step explanation: