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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Step-by-step explanation:

is this 8th grade math?

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Step-by-step explanation:

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Answer:

x = 17

Step-by-step explanation:

We are going to call the missing angle in triangle EDC, "y"

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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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Now this is where the vertical angles come in. Angles ∠DCE and ∠ACB are vertical, which makes them congruent. Since they are the same value, we can subtract them from either side of the equation. (NOTE: We can only do this because they are the same value. Subtracting angles of different values will mess up your answer!!!)

Now, we have the same problem in much simpler terms. We can now simplify it in order to get x.

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I really hope this helped! Take care! :)

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Step-by-step explanation:

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Answer:

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Answer:

Step-by-step explanation:

2

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https://brainly.com/question/12386353

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Step-by-step explanation:

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Answers

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Step-by-step explanation:

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Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

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please show work

Answers

Answer:

x = 6

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Step-by-step explanation:

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

Now, Name the equation

10x - 8y = 4

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Now, Subtract (1) from (2)

5x - 4y = 2

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————————

- y = - 7

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FOR VERIFICATION ONLY:

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Answer:

Step-by-step explanation:

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Step-by-step explanation:

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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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Hey! Now our equation looks much simpler! Now, all we need to do it square root both of the sides in order to get b by its self.

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√b² = b

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I truly hoped this explanation helped! If you feel you still need a bit of help, David May explains the Pythagorean theorem very well in his video titled, "Find The Hypotenuse Using Pythagorean Theorem | Dave May Teaches" if you would like to check it out. Take care! :)

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Answers

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Step-by-step explanation:

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ED2021

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