Jimmy is trying to dive down and touch the bottom of the pool. on his first try, he makes it 1/3 of the way to the bottom.

on his second try, he makes it 3/5 of the way to the bottom.


jimmy's second dive was deeper than his first dive by what fraction of the pool?

4 feet or 4/15

Step-by-step explanation:

1. So first you have to multiply the top and bottom number of each fraction by the denominator of the opposite fraction to have the same denominator:

1/3 X 5/5 = 5/15

3/5 X 3/3 = 9/15

2. Then you compare the two fractions and subtract the smaller fraction from the bigger:

9/15 - 5/15 = 4/15

So Jimmy dived 4 feet deeper the second time

infinitely many solutions

step-by-step explanation:

we have been given the equation;

2(2x + 3) = -4 + 2(2x + 5)

we need to determine the value of x.

2(2x + 3), we expand this expression to obtain 4x + 6

similarly 2(2x + 5) will become 4x + 10

now we have;

4x + 6 = -4 + 4x + 10

4x + 6 = 4x + 10 - 4

4x + 6 = 4x + 6

the expression on the left hand side is identical to the one on the right hand side. therefore, we are looking at just a single straight line whose equation is;

y = 4x + 6

consequently, we shall have infinitely many solutions