Which statements include two quantities in the real world that are additive inverses? Select each correct answer. Noa hiked 2 mi up a mountain trail and then hiked 2 mi down the trail. Daniella overdraws her account by $70 and then deposits $100 in the account. A lithium ion has 3 positively charged protons and 2 negatively charged electrons. A hot-air balloon ascends 2000 ft from the ground and then descends 2000 ft.
Answers
Refer to the given statements. We have to identify the statement that have additive inverses.
A number 'a' is said to have an additive inverse '-a' then
a+(-a) =0
Statement 1: Noa hiked 2 mi up a mountain trail and then hiked 2 mi down the trail.
So, he came back to the point where he had started.
2+(-2)=0, his net displacement is zero.
Therefore, statement 1 is representing additive inverse.
Statement 2: Daniella overdraws her account by $70 and then deposits $100 in the account.
So the total account balance in Daniella's account is given by:
-70+100=30, 30 dollars
Therefore, statement 2 is not representing an additive inverse.
Statement 3: A lithium ion has 3 positively charged protons and 2 negatively charged electrons.
The total charge on the lithium ion is equals to:
+3+(-2)=3-2=1;
Therefore, there is a net charge on the lithium ion is +1, hence it does not represent an additive inverse.
Statement 4: A hot-air balloon ascends 2000 ft from the ground and then descends 2000 ft.
The hot air balloon descends back to the ground and the total displacement of the hot air balloon is given by:
2000+(-2000)=0 ft
Therefore, statement 4 represents additive inverse.
Answer:
The ( A lithium ion has 3 positively charged protons and 2 negatively charged electrons.) Is wrong.
Step-by-step explanation:
I took the test on K-12 And got it correct.