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Tcecarenko [31]
3 years ago
14

Chase is a high school basketball player. In a particular game, he made some free throws (worth one point each) and some two poi

nt shots. Chase scored a total of 12 points and made twice as many free throws as two point shots. Determine the number of free throws Chase made and the number of two point shots he made.
Mathematics
2 answers:
MaRussiya [10]3 years ago
8 0

Answer:

free throws = 6

2 points shots = 3

Step-by-step explanation:

To do this we will have 2 incognitas.

x = number of free throws

y = number of shots of 2 points

x(1) + y(2) = 12

he says he made twice as many free throws as 2 points

x = 2y

2y(1) + y(2) = 12

2y + 2y = 12

4y = 12

y = 12/4

y = 3

x = 2y

x = 2*3

x = 6

free throws = 6

2 points shots = 3

Alenkinab [10]3 years ago
6 0

Answer:

free throw =6

2 p.L. =3

Step-by-step explanation:

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Answer:

24 m

Step-by-step explanation:

The lenght of fencing needed is the sum of all sides the triangular garden represented on the coordinate grid.

The lenght of the triangular garden = 16 - 10 = 6 m

Lenght of the height = 8 - 0 = 8 m

Lenght of the hypotenuse can be calculated using coordinates of the two vertices of the ∆ that forms the hypotenuse lenght and also using the distance formula.

Coordinates of the two vertices = (10, 0) and (16, 8).

distance = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}

Let,

(10, 0) = (x_1, y_1)

(16, 8) = (x_2, y_2)

d = \sqrt{(16 - 10)^2 + (8 - 0)^2}

d = \sqrt{(6)^2 + (8)^2}

d = \sqrt{36 + 64} = \sqrt{100}

d = 10

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3 years ago
A plane traveled from California and back. It took one hour longer on the way out than it did on the way back. The plane's avera
padilas [110]

Answer:

Option D is the correct answer.

Step-by-step explanation:

Let x be the one way distance and t be the time out.

Time taken for back = t-1

We have plane's average speed out was 300 mph and average speed on the way back was 350 mph.

That is

           \frac{x}{300}=t\texttt{ and }\frac{x}{350}=t-1

Dividing both equations

             \frac{\frac{x}{300}}{\frac{x}{350}}=\frac{t}{t-1}\\\\350t-350=300t\\\\t=7\texttt{ hours}

Time taken for back = t-1 = 7-1 = 6 hours.

Total time taken = 7 + 6 = 13 hours

Option D is the correct answer.

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anzhelika [568]
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