Rewrite the expression using the GCF and distributive property. (110-44)

how many 24-foot jump ropes can be made from a rope that is 100 feet long?

let me divide your question into two parts A and B as;

A. Rewrite the expression using the GCF and distributive property. (110-44)

B. how many 24-foot jump ropes can be made from a rope that is 100 feet long?

Answer:

A. (110-44) = 22 (5-2)

B. 4 jump ropes of 24 feet length

Step-by-step explanation:

A. Rewrite the expression using the GCF and distributive property. (110-44

Answer:

Find the GCF of 110 and 44 then take that GCF as common factor out of (110-44) then we can get new expression for (110-44) as 22 (5-2) i. e.

prime factorization of 110=2x5x11

and 44=2x2x11

GCf is the product of factors that appear in both of the prime factorization which is 2x11=22

thus using GCF (22) as common factor we can rewrite the given expression as

22 (5-2) which is distributive law of multiplication over subtraction.

B. how many 24-foot jump ropes can be made from a rope that is 100 feet long?

Answer:

Given

Total length of the rope = 100 feet

length of a jump rope = 24

solution:

For one jump-rope we need 24 feet

For two jump-ropes we need 48 feet

For three jump-ropes we need 72 feet

For four jump-ropes we need 96 feet

thus from a 100 feet long rope we can make 4 jump-ropes of 24 feet length with 6 feet remaining as extra.