Question

will fan for help

Answer 1

Solve for the variable.
3/9=p/24
A. 1/8
B. 1/3
C. 3
D. 8

Answer 2

simplify on the left side, and then multiply both sides times 24.

OR, multiply both sides times 24, and then simplify the left side

Answer 3

i cannot figure it out i am stuck

Answer 4

\(\large\color{black}{ \frac{\LARGE 3 }{\LARGE9}=\frac{\LARGE p }{\LARGE 24} }\)

can you simplify the left side?

Answer 5

(Hint: both 9 and 3 are divisible by 3)

Answer 6

\(\large\color{black}{ \frac{\LARGE 3 \color{red}{\div3} }{\LARGE9 \color{red}{\div3}}=\frac{\LARGE p }{\LARGE 24} }\)

Answer 7

re-write it for me please (dividing the top and bottom as I said in red)

Answer 8

3/3=1 and 9/3=3

Answer 9

yes, so what will your left side look like?

Answer 10

1/3=p/24

Answer 11

yes it will be \(\large\color{black}{ \frac{\LARGE 1 }{\LARGE 3}=\frac{\LARGE p }{\LARGE 24} }\)

Answer 12

Now, \(\large\color{black}{ \frac{\LARGE 1\color{blue}{\times 8} }{\LARGE 3\color{blue}{\times 8}}=\frac{\LARGE p }{\LARGE 24} }\)

Answer 13

what it will then be?

Answer 14

8/24

Answer 15

\(\large\color{black}{ \frac{\LARGE 8 }{\LARGE 24}=\frac{\LARGE p }{\LARGE 24} }\)

Answer 16

So what can you say about \(\large\color{black}{ p }\) ?

Answer 17

Hint:

If you are given that: \(\large\color{black}{ \frac{\LARGE c }{\LARGE b}=\frac{\LARGE a }{\LARGE b} }\)

then you can conclude that: \(\large\color{black}{c=a }\)

Answer 18

you are given that: \(\large\color{black}{ \frac{\LARGE 8 }{\LARGE 24}=\frac{\LARGE p }{\LARGE 24} }\)

\(\large\color{black}{.... }\) can you finish it ?

Answer 19

would it be d because that is the one that would make it =

Answer 20

yes, it is D.

Answer 21

thanks @SolomonZelman