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Shalnov [3]
2 years ago
15

The two top NBA players played a basketball game against the RSM team. Together the NBA players made 85 baskets, scoring one poi

nt for free throws and two or three points for field goals. They scored a total of 184 points during the game. If they made 22 free throws, how many three-point field goals did they make?
Mathematics
2 answers:
sergejj [24]2 years ago
7 0

Answer:

54 three- point field goals

Step-by-step explanation:

184 points = <em>x </em>free throws and 3<em>y </em> three-point field goals

x= 22 free throws, each one is 1 point

184 - 22 = 162

162 ÷ 3 = 54

54=y

54 three point field goals

jolli1 [7]2 years ago
3 0

Answer:  36 three-point field goals

Step-by-step explanation:

To solve this problem, set up a system of equations. Let's call the number of  one-pointers w, the number of two-pointers x, and the number of three-pointers y. We are trying to find y here. We also know that w+x+y=85, because that is the total amount of baskets, and also that w+2x+3y=184, which is the total amount of points. We know that there were 22 free throws,  so that means we can take away 22 baskets from the first equation, and also 22 points from the second equation. Now the equations are x+y=63  and2x+3y=162. Solving the equations using our knowledge of systems of equations, you get that y=36. So, 36 is the answer. Let me know if anything was unclear, and I hope this helped.

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Lexi said that two lines
omeli [17]

Answer:

Step-by-step explanation:

The easy way to make 2 perpendicular lines is let one be x = 3 and let y = 2.

The third line can be anything that has a minus sign in front of the x. See the graph below. The third line cannot be perpendicular to the other 2.

Sorry, the bottom of the graph got cut off. If you print out the graph and extend the vertical line and the slanted line, you will see how this works.

The three lines are

  • x = 3
  • y = 2
  • y = -x - 2

7 0
2 years ago
Please help! :)
Volgvan

Answer:

So the correct option is First one

i.e \dfrac{9\pi}{A}=\dfrac{90}{360}

Step-by-step explanation:

Given:

Area of Shaded part = 9 π square feet

To Find :

Area of Circle = ?

Solution:

90 degree center angle is equivalent to an area of 9 Π  square feet

So, 360 degree center is equivalent to area A which is the area of the complete circle.

So the Ratio will be

\dfrac{90}{9\pi} =\dfrac{360}{A}

Setting the given statements in proportion:

\dfrac{90}{9\pi} =\dfrac{360}{A}

On solving we get the required

\dfrac{9\pi}{A} =\dfrac{90}{360}

So the correct option is First one

i.e \dfrac{9\pi}{A}=\dfrac{90}{360}

Alternate Method:

Shaded part is of 90°

Area of Shaded part = 9 π square feet

And Full Circle is of 360° that is 4 sector of 90°

\textrm{Area of Circle}=4\times (Shaded\ part)

\textrm{Area of Circle}=4\times 9\pi

\textrm{Area of Circle}=36\pi

So the correct option is First one

i.e \dfrac{9\pi}{A}=\dfrac{90}{360}

On solving this we get

A=36\pi\ feet^{2}

8 0
2 years ago
1/4 of 24 on tape diagram
Lemur [1.5K]
Draw the tape diagram: a long rectangle and divide it into 4 squares in a row.The whole rectangle represents 24 (as a whole number), you're dividing it into 4 parts because you want to know what is 1/4 of it.Now, to find the value of each square: 24:4 = 6.Put the number 6 in each square, and you have found your result.1/4 of 24 is 6.

8 0
3 years ago
Bella is making button barrettes. She allows each of her friends to reach into er bag of buttons and randomly pick a color.
slava [35]

Answer:

Total no. of buttons = 300 + 700 + 1000

+ 500 = 2500

Possibility for a person to pick a pink button = 300/2500 = (3/25)%

Amount of pink buttons she can expect her friends to pick = 50(3/25) = 6

She can expect to make 6 pink barrettes

Step-by-step explanation:

4 0
3 years ago
based only on the inormation given in the diagram, which congruence theorems or postulates could be the given as reasons why abc
Fudgin [204]

Answer: 1. HA cannot be a reason to show given triangles are congruent as it is not given that they have an acute angle common in both the triangles.

2. HL can be a reason to show given triangles are congruent as the triangles are right triangle with equal legs and hypotenuse.

3. SAS can be a reason to show given triangles are congruent as there are  two congruent sides in both triangles and included angles ∠A=∠D=90° [right angle].

4. LA cannot be a reason to show given triangles are congruent as it is not given that they have an acute angle common in both the triangles.

5. AAS  cannot be a reason to show given triangles are congruent as it is not given that they have two angles common in both the triangles.

6.SSS can be a reason to show given triangles are congruent as it is shown that all the sides of one triangle is congruent to the other.

HOPE THIS HELPS

6 0
2 years ago
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