I assume you meant to type the following:
3/(5k-5) = 7/100
When we multiply both sides by (100)(5k - 5), we get this:
300 = 7(5k - 5)
300 = 35k - 35
300 - 35 = 35k
265 = 35k
265/35 = k
Answer:
k=30
Step-by-step explanation:
The number of mice vary inversely with cats. This is written as:

When there are 3r-19 cats, there are 2r+1 mice

When there are 6r-27 mice, there are r-5 cats.

Taking the values of k above, we have:

Therefore:

C is the answer of the questions
Answer:
x < -10
Step-by-step explanation:
Some treat the < as an equals sign to make it easier and less confusing to solve. Rewrite the equation with an equals sign for the time being.
18+12x= - 102.
Treat it as any other equation now and solve for x.
Subtract 18 from both sides to cancel out 18 on the left.
12x=-120
Divide by 12 to get x by itself.
x=-10.
Put the < back.
x < -10
Answer:
6 ft
Step-by-step explanation:
Let the width = w
Then the length = 4w - 3
perimeter = 2(length + width)
perimeter = 2(4w - 3 + w)
perimeter = 2(5w - 3)
perimeter = 10w - 6 = 54
10w - 6 = 54
10w = 60
w = 6
Answer: The width is 6 ft