for what value of a will 8*10^3 be 40 times larger than a*10^2?
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put "answer =" when you give me the answer
To determine the value of a that makes 8*10^3 40 times larger than a*10^2, we can set up the equation:
8*10^3 = 40(a*10^2)
First, let's simplify each side of the equation:
8*10^3 = 40(a*10^2)
8000 = 40 * a * 10^2
Next, divide both sides of the equation by 40 * 10^2:
8000/(40 * 10^2) = a
Now, simplify the right side:
8000/(40 * 10^2) = a
8000/4000 = a
2 = a
Therefore, the value of a that satisfies the equation is:
Answer: a = 2
To solve for the value of "a," we can set up the following equation:
8 * 10^3 = 40 * (a * 10^2)
To simplify, we can divide both sides of the equation by 40:
(8 * 10^3) / 40 = (40 * (a * 10^2)) / 40
Simplifying further:
200 = a * 10^2
Dividing both sides of the equation by 10^2 (which is equivalent to dividing by 100):
200 / 10^2 = (a * 10^2) / 10^2
Which yields:
2 = a
Therefore, the value of "a" that makes 8 * 10^3 forty times larger than a * 10^2 is:
a = 2
Answer: a = 2
To find the value of "a" for which 8 * 10^3 is 40 times larger than a * 10^2, we can set up an equation.
Step 1: Set up the equation
8 * 10^3 = 40 * (a * 10^2)
Step 2: Simplify the equation
8 * 10^3 = 40 * a * 10^2
Step 3: Divide both sides of the equation by 40 * 10^2 to isolate "a"
(8 * 10^3) / (40 * 10^2) = a
Step 4: Cancel out the common factors
8 / 40 = a
Step 5: Simplify the fraction
1 / 5 = a
Therefore, the value of "a" for which 8 * 10^3 is 40 times larger than a * 10^2 is a = 1/5.
Answer: a = 1/5