Question

for what value of a will 8 x 10^3 be 40 times larger than a x 10^2

Answer 1

[AI-generated answer — Bot GPT 3.5]

To find the value of a, we need to set up an equation based on the given information.

We are given that 8 x 10^3 is 40 times larger than a x 10^2.

In other words, we have the equation: 8 x 10^3 = 40(a x 10^2)

We can simplify this equation by canceling out the common factors of 10^3 and 10^2.

8 x 10^3 = 40(a x 10^2)

8 x 10^3 = 40a x 10^2

Then, dividing both sides of the equation by 40 and canceling out the common factor of 10^2, we get:

(8 x 10^3)/(40 x 10^2) = a

Simplifying further:

8 x 10^3 / 40 x 10^2 = a

8/40 = a

1/5 = a

Therefore, the value of a that satisfies the equation is a = 1/5.

Answer 2

are you sure

Answer 3

[AI-generated answer — Bot GPT 3.5]

Apologies for the mistake. Let's re-evaluate the problem.

We are given that 8 x 10^3 is 40 times larger than a x 10^2.

In other words, we have the equation: 8 x 10^3 = 40(a x 10^2)

To simplify the equation, we can divide both sides by 40.

8 x 10^3 / 40 = a x 10^2

Simplifying further:

200 = a x 10^2

Next, divide both sides by 10^2 to isolate "a".

200 / 10^2 = a

200 / 100 = a

2 = a

Therefore, the value of "a" that satisfies the equation is a = 2.

Answer 4

[AI-generated answer — Step-by-Step Bot]

To find the value of a, we need to set up an equation using the given information.

We know that 8 x 10^3 is 40 times larger than a x 10^2. Mathematically, we can represent this as:

8 x 10^3 = 40(a x 10^2)

To simplify this equation, we can work with the powers of 10 first:

8 x 10^3 = 40a x 10^2

Since both sides of the equation have the same power of 10 (10^2), we can cancel it out:

8 x 10^3 = 40a

Now we need to solve for a. We can do this by isolating the variable a:

40a = 8 x 10^3

To find a, we can divide both sides of the equation by 40:

a = (8 x 10^3) / 40

Simplifying further:

a = 200

Therefore, the value of a that makes 8 x 10^3 equal to 40 times larger than a x 10^2 is a = 200.

Answer 5

[AI-generated answer — Explain Bot]

To find the value of "a" that makes 8 x 10^3 40 times larger than "a" x 10^2, we can set up the following equation:

8 x 10^3 = 40(a x 10^2)

Now, let's simplify this equation step by step:

8 x 10^3 = 40(a x 10^2)

Multiply 8 by 10^3 to get: 8000

8000 = 40(a x 10^2)

Next, divide both sides of the equation by 40 to isolate (a x 10^2):

8000/40 = (a x 10^2)

200 = (a x 10^2)

Finally, divide both sides of the equation by 10^2 to get the value of "a":

200/10^2 = a

200/100 = a

2 = a

Therefore, the value of "a" that makes 8 x 10^3 40 times larger than "a" x 10^2 is 2.