Jake's mom buys pizza for him every time he completes 15 Imagine Math Lessons. Brandon's mom buys cookies for him every time he completes 9 Imagine Math Lessons. How many lessons will they have completed when they earn pizza and cookies at the same time?

45 lessons

Step-by-step explanation:

Here, we want to know the number of lessons that both of them would have completed when they earn pizza and cookies at the same time

From the question, we are told that they earn cookies and pizza when they complete 9 and 15 lessons respectively.

So to know the number of lessons completed, we need to find the lowest common multiple of the number of cookies and the numbers of pizza

That will be lowest common multiple of 9 and 15

This is 45

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

answer are

step-by-step explanation: