The long family and the harris family each used their sprinklers last summer. the water output rate for the long family's sprinkler was 25l per hour. the water output rate for the harris family's sprinkler was 35l per hour. the families used their sprinklers for a combined total of 55 hours, resulting in a total water output of 1625l. how long was each sprinkler used?

Step-by-step explanation:

Given

Rate of Long family's sprinkler is 25 L/hr

rate of Harris family's sprinkler is 35 L/hr

Total time for which sprinkler is used =55 hr

Let long family run their sprinkler for x hr

therefore Harris family time=55-x

Total volume collected=1625 L

thus

25x+1925-35x=1625

1925-1625=10x

300=10x

x=30 hr

long family used for 30 hr and Harris family used for 20 hr

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:

if e is the midpoint of bd, then bd is 14.

step-by-step explanation: