If the ratio of purple marbles to orange marbles is 3 to 8, how many orange marbles will I have if I have 48 purple marbles?

You will have 18 orange marbles

Step-by-step explanation:

Set this up as an equation

Variable x = number of orange marbles

3/8 = x/48

Cross multiply

3 × 48 = 8 × x

144 = 8x

Divide both sides by 8 to isolate the variable

144 ÷ 8 = 8x ÷ 8

18 = 1x

18 = x

18 orange marbles

Check work:

Substitute the variable x for the answer

3/8 = 18/48

Cross multiply

3 × 48 = 18 × 8

144 = 144

If the numbers equal, the answer is correct

Step-by-step explanation:

128 marbles

First you divide 48 by 3 and u get 16. Then u multiply 16 by 8.

To prove just simplify

3/8=48/128

3/8=3/8

the correct answer option is (2x-3)(2x+3).

step-by-step explanation:

we are given the following expression and we are to factorize it:

we are to find such factors that when multiplied they give a result of 36 (9 x 4 = 36) and when added they give a result of 0.

the two such factors of 36 are negative six and postive six.

factorizing the given expression to get:

therefore, the correct factorization of is (2x-3)(2x+3).