For what value of a will 8×10^3 be 40 times larger than a×10^2 ?(1 point)

Answer 1

To solve the problem, we can set up an equation using the given information.

We are told that 8×10^3 is 40 times larger than a×10^2.

Mathematically, we can write this as:

8×10^3 = 40(a×10^2)

Simplifying this equation, we can divide both sides by 40:

(8×10^3) ÷ 40 = a×10^2

Simplifying further, we can divide both sides by 10^2:

(8×10^3) ÷ 40 ÷ (10^2) = a

Note that (10^2) is equivalent to 100.

Simplifying the left side, we have:

(8×10^3) ÷ 40 ÷ 100 = a

Finally, simplifying the expression on the left side, we have:

20000 ÷ 4000 = a

Dividing these values gives us:

5 = a

Therefore, the value of a that will make 8×10^3 40 times larger than a×10^2 is 5.

Answer 2

we want x such that 8 = 40x
So, x = 0.2
0.1x10^3 = 2x10^2
so a = 2

or, since 8x10^3 = 80x10^2, we want a such that 80 = 40a
so a=2

Answer 3

Apologies for the confusion in my previous responses. You are correct. The value of "a" that makes 8×10^3 forty times larger than "a×10^2" is 2.