Answer:
x=6
Step-by-step explanation:
Combine like terms, 5x and 7x
12x=72
Isolate the variable by dividing by 12
x=6
False, moving the parenthesis works in certain problems like 1x(2x3)=(1x2)x3
but with division it must be perfect otherwise a simple percentage can ruin your whole division problem.
Answer:
5.25 miles per minute
Step-by-step explanation:
420/80 = 5.25 so it is 5.25 miles per minute as it is 80 minutes
Answer:
f(x) = 401.19(1.08)x
Step-by-step explanation:
Answer:

Step-by-step explanation:
So we have the expression:

To simplify, simply combine the like terms. Therefore:

Further notes:
To understand why we can combine like terms in the first place, we just need to use the distributive property. So we have the expression:

Now, factor out a y from the three terms:

Do all the operations inside the parenthesis:

And we moved the y back to the front!
This is the same result as before. When combining like terms, this is what we're essentially doing but without doing the distributive property manually. I hope you understand a bit better on how and why we can combine like terms!