for what value of a will 8x10^3 be 40 times larger than a x10^2
To find the value of a, we can set up the equation:
8x10^3 = 40(a x10^2)
Let's simplify this equation by multiplying 40 by a, which gives us:
8x10^3 = 40ax10^2
Now, let's simplify the powers of 10:
8x10^3 = 40ax10^2
8x10^3 = 40ax10^2
8000 = 400ax10^2
Now, let's divide both sides of the equation by 400x10^2:
8000 / (400x10^2) = ax10^2 / (400x10^2)
20 = a / 400
Multiply both sides of the equation by 400:
20 x 400 = a
8000 = a
Therefore, the value of a is 8000.
for what value of a will 8x10^3 be 40 times larger than a x10^2
To find the value of a, we can set up the equation:
8x10^3 = 40(a x10^2)
Let's simplify this equation by dividing both sides by 40:
(8x10^3) / 40 = (40ax10^2) / 40
200 = a x10^2
Divide both sides by 10^2:
200 / (10^2) = (a x 10^2) / (10^2)
200 / 100 = a
2 = a
Therefore, the value of a is 2.
one second is approximately 0.000115741 of a day what is this number is scientific notation?
To express 0.000115741 in scientific notation, we would write it as 1.15741 x 10^(-4).
To find the value of a, we can set up the equation:
8x10^3 = 40(a x10^2)
First, let's simplify the equation on the right side:
8x10^3 = 40ax10^2
We can cancel out the common factors of 10^2:
8x10^3 = 40ax10^2
(divide both sides by 10^2)
8x10^3 / 10^2 = 40ax10^2 / 10^2
8x10^(3-2) = 40ax10^(2-2)
8x10^1 = 40ax10^0
8x10 = 40a
Now, divide both sides of the equation by 8:
8x10/8 = 40a/8
10 = 5a
Finally, divide both sides by 5 to solve for a:
10/5 = 5a/5
2 = a
Therefore, the value of a is 2.
To find the value of "a" for which 8x10^3 is 40 times larger than "a" x10^2, we can set up an equation.
First, let's express "40 times larger than" mathematically. If we have a quantity "x" and want to find a value that is 40 times larger than "x", we can write it as 40x.
Now, let's set up the equation:
8x10^3 = 40(a x10^2)
To simplify the equation, we can cancel out the common factors of 10^2 on both sides:
8x10^3 = 40ax10^2
or
8000 = 40a
Now, we can solve for "a" by dividing both sides by 40:
8000/40 = a
or
200 = a
Therefore, the value of "a" for which 8x10^3 is 40 times larger than "a" x10^2 is a = 200.