Answer:
8
Step-by-step explanation:
1) Lets rewrite the expression in expanded form to make is easier to understand:
(8*8)÷(2*2*2)
2) Simplify the interior of the parenthesis:
(64)÷(8)
3) Divide:
8
She can divide the 8 cups by the 1/3 cups
Step-by-step explanation:
The next step will be to divide 8 cups by 1/3 cups
This will be:
= 8÷1/3
=8*3/1-------------dividing by a fraction is the same as multiplying by its reciprocal
= 24
There are 24 1/3cups in 8 cups.
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Answer:
x = 5sqrt(3)
Step-by-step explanation:
This is a right triangle. We can use the Pythagorean theorem to solve
a^2 +b^2 = c^2
5^2 +x^2 = 10^2
25+x^2 = 100
Subtract 25 from each side
25-25 +x^2 = 100-25
x^2 = 75
Take the square root of each side
sqrt(x^2) = sqrt(75)
x = sqrt(3*25)
Remember sqrt(ab) = sqrt(a)sqrt(b)
x = sqrt(5)sqrt(3)
x = 5sqrt(3)
Answer:
He would be expected to win roughly 35 games with a line of best fit as y = x - 5
Step-by-step explanation:
In order to find this, you can use just about any ordered pair to create an equation. There are other methods, but in this case, we'll create a line between (15,10) and (30, 25). First find the slope.
m(slope) = (y2 - y1)/(x2 - x1)
m = (25 - 10)/(30 - 15)
m = 15/15
m = 1
Now that we have the slope of 1, we can use it along with either points and point-slope form to get the equation.
y - y1 = m(x - x1)
y - 25 = 1(x - 30)
y - 25 = x - 30
y = x - 5