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makkiz [27]
3 years ago
9

At a basketball​ game, a team made 54 successful shots. They were a combination of​ 1- and​ 2-point shots. The team scored 93 po

ints in all. Write and solve a system of equations to find the number of each type of shot.
Mathematics
1 answer:
Zepler [3.9K]3 years ago
8 0

Answer:

iwillanswer

Genius

4.3K answers

14.6M people helped

17 one point shots and 39 two point shots were made

Solution:

Given that,

At a basketball​ game, a team made 56 successful shots

They were a combination of​ 1- and​ 2-point shots

Let "x" be the number of 1 point shots

Then, 56 - x is the number of two point shots

The team scored 95 points in all

Therefore,

1(number of 1 point shots) + 2(number of two point shots) = 95

x + 2(56 - x) = 95

x + 112 - 2x = 95

x = 112 - 95

x = 17

Then, number of two point shots = 56 - x = 56 - 17 = 39

Thus 17 one point shots and 39 two point shots were made

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3 years ago
How many solutions does the equation 6x-10=2(3x+8) have?
ivanzaharov [21]

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No solution

Step-by-step explanation:

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3 years ago
75(1+0.2/12)^10*12 what is the answer
Alchen [17]

Answer:

545.119

Step-by-step explanation:

75 * (1 + .2/12)^10 * 12

75 * (1.016667)^10*12

Now things get a little tricky. What does 10*12 mean? I'm taking it to mean 120

75 * (1.016667)^120

75 * 7.268

545.119

8 0
3 years ago
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If a storm window has an area of 640 square inches, what is the equation to find the dimensions when the window is 20 inches hig
Lyrx [107]
Area = width * height
since the window is 20 inches higher than the width:
width +20 = height

640 = width * width+20
640 = width^2 +20*width
width^2 +20*width - 640 = 0
width = 17.203
**********************************************************
Double Check
if width = 17.203 then height = 37.203
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8 0
4 years ago
Solve the equation
inysia [295]

Answer:

x ≈ 1.32, x ≈ - 5.32

Step-by-step explanation:

Given

x² + 4x - 7 = 0 ( add 7 to both sides )

x² + 4x = 7

To complete the square

add ( half the coefficient of the x- term )² to both sides

x² + 2(2)x + 4 = 7 + 4

(x + 2)² = 11 ( take the square root of both sides )

x + 2 = ± \sqrt11} ( subtract 2 from both sides )

x = - 2 ± \sqrt{11}

Thus

x = - 2 - \sqrt{11} ≈ - 5.32 ( to 2 dec. places )

x = - 2 + \sqrt{11} ≈ 1.32 ( to 2 dec. places )

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3 years ago
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