Please someone explain how to solve for x.

x =30

Step-by-step explanation:

We can use ratios to solve

18            20

=

18+27      20+x

Simplify

18            20

=

45         20+x

Using cross products

18 *(20+x) = 20*45

18 ( 20+x) = 900

Divide each side by 18

18 /18*(20+x) = 900/18

20+x =50

Subtract 20 from each side

20+x-20 = 50-20

x=30

22/13 or 1 9/13

3

Step-by-step explanation:

3 2/3 ÷ 2 1/6

First we convert the improper fractions to proper fraction

3 2/3 = multiply the whole number by the denominator, then add to the numerator =11/3

2 1/6 = 2 × 6 + 1= 13/6

Then we rewrite the fraction:

11/3 ÷ 13/6

11/3 × 6/13

Multiply the numerators: 11 x 6 = 66

Multiply the denominators: 3 x 13 = 39

= 66/39 divide through by common factor of 3

= 22/13 or 1 9/13