There are approximately 202 gallons per cubic yard of water write and solve an equation for the number of gallons of water to fill a pool with a volume of 1161 cubic feet

The Volume  of the  Swimming pool is  : 1161 cubic feet

The water in the 1 cubic yard  =  202 gallons

Let us first change 1 cubic  yard into 1 cubic feet

We know 1 yard = 3 foot

                 1 cubic yard =  3*3*3   cubic feet

                1 cubic yard =  9 cubic feet .

Water in the  9 cubic feet = 202  gallons

water  in the 1  cubic feet = 202/9  = 22.44 gallons

Let us suppose  there is x gallon water  in the swimming pool

so    volume of  the  swimming pool  in cubic feet * volume of the water in 1 cubic feet =  x gallon

         1161 * 22.44  = x

  26058 gallons = x  

Answer :  26058 gallons of water is required to fill the  swimming pool .

the balance is found at the link

step-by-step explanation:

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: