A basketball player scored 26 points in one game. In basketball, some baskets are worth 3 points, some are worth 2 points, and free-throws are worth 1 point. He scored four more 2-point baskets than he did 3-point baskets. The number of free-throws equaled the sum of the number of 2-point and 3-point shots made. How many free-throws, 2-point shots, and 3-point shots did he make?

Answers

Answer 1

Answer:

3 points = 2

2 points = 6

1 point = 8

Step-by-step explanation:

Given that:

Total point scored = 26

Let number of 3 point basket = x

Number of 2 point basket = x + 4

Number of free throws = x + x + 4 = 2x + 4

Hence,

Total 3 points = 3x

Total 2 points 2(x + 4)

Total free throw points = 2x + 4

3x + 2(x + 4) + 2x + 4 = 26

3x + 2x + 8 + 2x + 4 = 26

7x + 12 = 26

7x = 26 - 12

7x = 14

x = 2

Number of 3 points = x = 2

2 points = (x+4) = 2+4 = 6

1 point = (2x+ 4) = 2(2) + 4 = 8

Answer 2

The number of free-throws, 2-point shots, and 3-point sho ts he made are;

free-throws = 8

2 points = 6

3 points = 2

Let the number of 3 points basket be x

He scored four more 2-point baskets than he did 3-point baskets. Thus;

y = x + 4

number of free-throws equaled the sum of the number of 2-point and 3-point sho ts made. Thus;

z = x + x + 4

z = 2x + 4

Thus;

Total 3 points = 3x

Total 2 points = 2(x + 4)

Total fr ee points = 2x + 4

Since he scored a total of 26 points, then;


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Answer:

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Step-by-step explanation:

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A basketball player averages 22.5 points scored per game with a standard deviation of 6.2 points. In one game, the number of points the athlete scored was 1.2 standard deviations below the mean. Which of the following is the z-score for the number of points scored?

–7.4
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Answers

Answer: -1.2 because I know

Step-by-step explanation:

Answer:

The person above me is right.

-1.2 is correct

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Answer:

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Step-by-step explanation:

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Step-by-step explanation:

Sora paid $26.46 for 8.4 gallons of gasoline how much was each gasoline?

Answers

26.46/8.4 = $3.15 per gasoline
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Which of the following expressions are equivalent to(x + 5)^2?

Check all the apply.

x^2 + 5x + 5x + 25

(x + 5)(x + 5)

x^2 + 25

x^2 + 5x + 10x

x^2 + 10x + 25

Answers

Answer:

[tex]x^{2} +5x+5x+25\\x^{2} +10x+25[/tex]

Step-by-step explanation:

[tex](x+5)^{2} =x^{2} +10x+25[/tex]

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Please solve with elimination i really need the help!!
please show work

Answers

Answer:

x = 6

y = 7

Step-by-step explanation:

Here, (10x - 8y = 4) and (- 5x + 3y = - 9) are two given equation

Now, Name the equation

10x - 8y = 4

take 2 as common we get

2(5x - 4y = 2)

5x - 4y = 2 ...(1)

- 5x + 3y = - 9 ...(2)

Now, Subtract (1) from (2)

5x - 4y = 2

- 5x + 3y = - 9

————————

- y = - 7

y = 7

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5x - 4y = 2

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x = 6

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FOR VERIFICATION ONLY:

5x - 4y = 2

5(6) - 4(7) = 2

30 - 28 = 2

2 = 2

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-TheUnknownScientist

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А
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B
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Answer:

I would help you but that's cheating cause your doing a test.

Step-by-step explanation:

Question 16 (1 point) (04.05 MC) The graph shows a journey in a car. Which of the statements most likely describes the start of the journey at the portion of the graph labeled I? (1 point) M M Distance (mi) N к Time (hr) a Ob The car travels the same distance per unit of time because the portion shows a linear, increasing function The car travels different distances per unit of time because the portion shows a linear, increasing function. The car travels the same distance per unit of time because the portion shows a nonlinear, increasing function Od The car travels different distances per unit of time because the portion shows a nonlinear, increasing function.​

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Step-by-step explanation:

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Answer: 4 feet

Step-by-step explanation:

In order to determine the length of side, we need to use what is called the Pythagorean theorem, which states: a² + b² = c² The a and b in this equation are both of the sides of the triangle that we call legs. (I have attached a picture for reference if you do not know what sides I am referring to). The c in this equation refers to the hypotenuse of the triangle. (Again, please refer to the attached photo).

So now, we need to plug in the information we already know into this equation. The height of the ramp will be our a and the distance from the box will be our b. We can see that the hypotenuse (c) is labeled as 5, so we can fill in that information in our equation.

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Answers

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Step-by-step explanation:

Hello! There are a few important pieces of information you need to keep in mind before trying to solve this problem:

The angles in a triangle ALWAYS add up to 180 degrees.All vertical angles are congruent (I have attached a photo incase you aren't away of what vertical angles are)

Now that we know these two pieces of information, we can begin to set up our problem. Because the angles in a triangle always add up to 180, we can set up the problem as follows:

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