Answer:
He made approximately 32 free throws.
Step-by-step explanation:
Assuming that there's a typo in the question and that he made 57% of his attempted free throws, then we can solve it as shown below:
We can apply a rule of three in order to calculate the number of free throws he made. This is done as follows:
56 free throws -> 100%
x free throws -> 57%
56/x = 100/57
100*x = 57*56
x = 57*56/100 = 31.92
It can also be solved by transforming the percentage in a fraction such as 57% = 57/100 and then multiplying it by the total attempts.
free throws made = 56*57/100 = 31.92
He made approximately 32 free throws.
<u>Given</u>:
The point P' is the image of the point P under the translation 
The coordinates of the point P are (6,0)
We need to determine the coordinates of the point P'
<u>Coordinates of the point P':</u>
The coordinates of the point P' can be determined by substituting the coordinates of the point P(6,0) in the translation.
Thus, substituting the coordinates, we have;
Simplifying the coordinates, we get;
Thus, the coordinates of the point P' is (0,-1)
Answer:
75, 77
Step-by-step explanation:
Let the first odd number = 2x -1
Let the second odd number = 2x + 1
2x - 1 + 2x + 1 + 18 = 170 Combine like terms on the left.
4x + 18 = 170 Subtract 18 from both sides.
4x = 170 - 18 Combine like terms on the right
4x = 152 Divide by 4
4x/4 = 152/4
x = 38
2 * 38 - 1 = 75
2 * 38 + 1 = 77
Given the rate of water flow is given by:
r(t)=85e^(-0.04t)
thus the amount of water flow in the first hour when t=1, will be:
r(1)=85e^(-0.04*1)
=81.667
thus the amount of water that flowed out will be:
85-81.667
=3.333 liters
Answer:
Rational because it is a decimal that can be seen as a fraction.
Step-by-step explanation:
