A fish tank holds 832 gallons but is leaking at a rate of 5 gallons per week. A second fish tank hose 1040 gallons but is leaking any rate of 9 gallons per week after how many weeks with the amount of water in the two fish tanks me the same

Within 52 weeks, the amount of water in the two fish tanks will be the same.

Step-by-step explanation:

First, let's make the two equations equal to each other by placing an equal sign.

832 - 5x = 1040 - 9x

Now, that they are equal to each other, we can solve for x.

Okay, so we can move -5x to the other side by adding both sides with 5x.

832 = 1040 - 4x

Then, subtract 1040 from both sides to move it to the other side.

832 - 1040 = -208

-208 = -4x

Lastly, divide both sides by -4 to get the value of x.

-208/-4 = 52

x = 52

option a is correct.

step-by-step explanation:

scale factor: it is used to find proportional measurements.

proportions means having the same ratio.

scale factor is the ratio of the model measurement to the actual measurement in a simplest form.

or we can say that the ratio of any two corresponding lengths in two similar geometric figures

if the scale factor is more than 1, then it is an enlargement,

if the scale factor less than 1, then it is a reduction.

given the two geometric figure:

by definition of proportions, we have