Max builds rail fences. For one style of fence, each section uses 3 vertical fence posts and 6 horizontal rails. How many rails does he need for a fence that has 27 posts?

The correct answer is 54 rails.

Step-by-step explanation:

Max builds rail fences. For one style of fence, each section uses 3 vertical fence posts and 6 horizontal rails.

For every style of fence Max uses 3 vertical fence posts and 6 horizontal rails.

For every style of fence Max uses vertical fence posts and horizontal rails in the ratio of 1 : 2.

Max uses 27 posts . Therefore he needs to use 27 × 2 = 54 rails.

Therefore Max needs 54 rails for a fence that has 27 posts.

the answer is b.

64

step-by-step explanation:

c=2πr=2·π·8≈64

proportions are fractions that equal to each other. so if two fractions are the same, they are proportional.

let's check the answers to see if they are proportional.

question a is not proportional because you can't turn 1.5/3 to 3/9. if you try to multiply 1.5/3 by 2 or 3, you wont get 3/9. it's impossible to make the fractions the same.

question b is not proportional because you can't turn 22/33 to 4/6. 33 can't go into 6.

question c is proportional because when you multiply 2 and 3 by 71, you would get 142/213, and those fractions equal to each other

question d is proportional because when you divide 14 and 7 by 2, you would end up with 7/3.5, and those fractions equal to each other.