Question

I just need help for 3 questions!

Write an expression for the perimeter of the triangle shown below:

A triangle is shown with side lengths labeled 2.3x plus 14, 2x, and negative 0.2x plus 15.

4.1x + 29
4.1x − 29
4.5x + 29
4.5x − 29

Which expression is equivalent to 1/5m − 20?

1/5(m − 4)
1/5(m − 100)
5(m − 4)
5(m − 100)

Write an expression that is equivalent to 3/5 (3y + 15).

three over fivey + 9
three over five y + 15
nine over fivey + 9
nine over fivey + 15

Answer 1

Answers:

1. a) 4.1x + 29

2. b) 1/5(m – 100)

3. c) nine over five y + 9 (9/5y + 9)

Explanations:

1. The formula for perimeter of a triangle is P = side a + side b + side c, so with these values it is:

2.3x + 14 + 2x – .2x + 15

Combine like terms:

4.1x + 29

2. Test the options to see which ones work out to the answer. You know that 1/5 of 100 = 20, so you need one with a 100 and a 1/5 in it. The only possible answer is:

1/5(m – 100)

3. Distribute the 3/5:

3/5 • 3y + 3/5 • 15 = 9/5y + 45/5 = 9/5y + 15

Explanation:

Answer 2

Answers:
1. a) 4.1x + 29
2. b) 1/5(m – 100)
3. c) nine over five y + 9 (9/5y + 9)

Explanations:
1. The formula for perimeter of a triangle is P = side a + side b + side c, so with these values it is:
2.3x + 14 + 2x – .2x + 15
Combine like terms:
4.1x + 29
2. Test the options to see which ones work out to the answer. You know that 1/5 of 100 = 20, so you need one with a 100 and a 1/5 in it. The only possible answer is:
1/5(m – 100)
3. Distribute the 3/5:
3/5 • 3y + 3/5 • 15 = 9/5y + 45/5 = 9/5y + 15