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Mariulka [41]
3 years ago
15

Sophie is a high school basketball player. In a particular game She made some free throws (worth one point each) and some two po

int shots. Sophie made a total of 10 shots altogether and scored a total of 18 points. Determine the number of free throws Sophie made and the number of two point shots she made.
Mathematics
2 answers:
maw [93]3 years ago
4 0

Answer:

a it

Step-by-step explanation:

Lynna [10]3 years ago
3 0

Step-by-step explanation:

Let x = number of free throws Susie made.

Let y = number of 2-point shots Susie made.

Let's make a system to represent this:

x + y = 10

x + 2y = 18 (every y shot makes 2 points, x shot makes 1 point)

By subtracting one equation from the other, we can cancel out the x. This is called "elimination".

x + y = 10

-x + 2y = 18

-y = -8

y = 8

Now, since these equations should be equal, you can plug 8 in for y in any of these equations to get x.

x + 8 = 10

x + 8 = 10

- 8 -8

x = 2

Set of solutions: x = 2; y = 8.

Remember from above, x represents the amount of free throws and y represents the amount of 2-point shots.

Sophie made 2 free throws and 8 two-point shots.

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Check the picture below.

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Volume of prisms and cylinders
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Answer:

7)V=16257.74

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Step-by-step explanation:

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V=πr^2h

where r is radius and h is height of cylinder

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8)

diameter=6

r=d/2=3

height =?

Finding height by pythagoras theorem:

h^2= 10^2-6^2

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V=π(2)^2(1)

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13)

r=21

h=25.5

Putting values in formula:

V= π(21)^2(25.5)

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8 0
4 years ago
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tatyana61 [14]
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