24.0k views
4 votes
A and b are natural numbers. The diameter of cell a is 2.3 , and the diameter of cell b is 2.3 .

Which is a true statement?
A. If a = 4 and b = 6, then cell a is 100 times greater than cell b.
B. If a = 4 and b = 6, then cell b is 100 times greater than cell a.
C. If a = 4 and b = 6, then cell a is 2 times greater than cell b.
D. If a = 4 and b = 6, then cell b is 2 times greater than cell a.

2 Answers

3 votes

After clarification we see the respective diameters are


A = 2.3 * 10^(-a)


B = 2.3 * 10^(-b)

We're asked about the ratio


A:B = 2.3 * 10^(-a) : 2.3 * 10^(-b) = 10^(-a) : 10^(-b) = 10^b : 10^a = 10^(b-a) : 1

Now we can go through the choices.

A. If a = 4 and b = 6, then cell a is 100 times greater than cell b.


A:B=10^(6-4):1 = 100:1

It would be more proper to say the diameter of cell A is 100 times the diameter of cell B, but yes, this is TRUE.

B. If a = 4 and b = 6, then cell b is 100 times greater than cell a.

FALSE. 10 to the minus 4 is 100 times bigger than 10 to the minus 6, so a is bigger.

C. If a = 4 and b = 6, then cell a is 2 times greater than cell b.

FALSE. We already calculated its 100 times bigger.

D. If a = 4 and b = 6, then cell b is 2 times greater than cell a.

FALSE.


A and b are natural numbers. The diameter of cell a is 2.3 , and the diameter of cell-example-1
User LyingOnTheSky
by
8.1k points
3 votes

Answer:

A. If a = 4 and b = 6, then cell a is 100 times greater than cell b.

Explanation:

2.3/2.3= 1

10(-4)/10(-6)=10(2)

your answer is 100, cell a is 100 times greater than cell b.

User Martin James
by
8.6k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.