Question

Which statements include two quantities in the real world that are additive inverses?

Select each correct answer.


A. Mia walked 5 mi north and then walked 5 mi west.

B. A scuba diver descends 40 m from sea level and then descends another 10 m.

C. Gabriella charges $300 on her credit card and then pays the $300 credit card bill.

D. A helium atom has 2 positively charged protons and 2 negatively charged electrons.

Answer 1

It is given

4x+3y=24

We can also write it as

3y=24−4x

y=324−4x

Substituting x=0 in the given equation

y=324−4(0)

So we get

y=324

By division

y=8

Substituting x=3 in the given equation

y=324−4(3)

So we get

y=312

BY division

y=4

Answer 2

• C and D

Explanation:

Additive inverse is when two numbers add up to zero.

A. Mia walked 5 mi north and then walked 5 mi west.

• False. It would be true if the directions are opposite.

B. A scuba diver descends 40 m from sea level and then descends another 10 m.

• False. It is - 40 - 10 = -50 m, not zero

C. Gabriella charges $300 on her credit card and then pays the $300 credit card bill.

• True. - $300 + $300 = 0

D. A helium atom has 2 positively charged protons and 2 negatively charged electrons.

• True. The atom has neutral charge as + 2 + (-2) = 0