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kaheart [24]
3 years ago
12

The wildcats basketball team scored 18 points in the first half of the game. All the planes came from either two or three point

baskets. If a total of eight shots were made (some two pointers and some three pointers), how many of each type of shot were made
Mathematics
2 answers:
wel3 years ago
8 0
3 two pointers and 4 three pointers
Agata [3.3K]3 years ago
7 0
<h2>Answer:</h2>

The number of two pointers made are: 6

and the number of three pointers made are: 2

<h2>Step-by-step explanation:</h2>

Let the number of two pointers be : x

and the number of three pointers be : y.

The wildcats basketball team scored 18 points in the first half of the game.

This means that:

  2x+3y=18-------(1)

Also, a total of eight shots were made.

This means that:

x+y=8

i.e.

x=8-y--------(2)

On putting equation (2) in equation (1) we have:

2(8-y)+3y=18

16-2y+3y=18

16+y=18

y=18-16

i.e.

                  y=2

On putting the value of y in equation (2) we have:

  x=8-2

i.e.

          x=6

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mestny [16]

Answer:

(2) 4, 7, 9; 2, 5, 6; 1, 3, 8

Step-by-step explanation:

Let's group them based on how many lines they have inside the shape...

0 lines: 4, 7, 9

2 lines: 2, 5, 6

3 lines: 1, 3, 8

Therefore the answer is (2) 4, 7, 9; 2, 5, 6; 1, 3, 8

4 0
2 years ago
The athlete’s salary, in thousands, for the first two years is $400 and $400(1.05). Explain how to find her salary for each of t
enyata [817]
To find the salary for the next three years, we are going to use the formula for the nth term of a geometric sequence: a_{n}=a_{1}r^{n-1}
where
a_{n} is the nth term of the sequence 
a_{1} is the first term in the sequence 
r is the common ratio 
n is the position of the term in the sequence 

To check if the values $400 and 400(1.05) for a geometric sequence, we are going to find their common ratio. To find the common ratio, we are going to use the formula r= \frac{a_{n} }{a_{n-1}}
where 
a_{n} is the current term in the sequence 
a_{n-1} is the previous term in the sequence

We can infer from our values, that the current term of the sequence is 400(1.5), so a_{n-1}=400(1.5). That leaves 400 as the previous term, so a_{n-1}=400. Lets replace those values in our formula to find r:
r= \frac{a_{n} }{a_{n-1}}
r= \frac{400(1.05)}{400}
r=1.05

Now that we have our common ratio, we can replace it in our formula for the nth term to find the athlete's salary for each of the next three years. Notice that the first term of our sequence is $400, so a_{1}=400
a_{n}=a_{1}r^{n-1}
a_{n}=400(1.05)^{n-1}
a_{3}=400(1.05)^{3-1}
a_{3}=400(1.05)^{2}
a_{3}=441

a_{4}=400(1.05)^{4-1}
a_{4}=400(1.05)^{3}
a_{4}=463.05

a_{5}=400(1.05)^{5-4}
a_{5}=400(1.05)^4
a_{5}=486.2025

We can conclude that the athlete's salary for each of the next three years is: $441,$463.05,486.2025 respectively. Also, those vales for a geometric sequence because they share a common ratio, (1.05).
6 0
3 years ago
Read 2 more answers
Geometry question to verify it​
Oksana_A [137]

Step-by-step explanation:

here's the solution,

in the given figure , sum of all angles formed with O measures 360°

because, it forms a complete angle

so,

=》mPOQ + mQOR + mROS + mSOT + mTOP = 360°

=》mPOQ + mQOR + mROS + mSOT + mTOP = (90° × 4)

=》mPOQ + mQOR + mROS + mSOT + mTOP = 4 × right angle

(cuz.. right angle = 90°)

4 0
3 years ago
9(x + 8) + 11(3x + 4)
Sav [38]
Simplify the expression : 42x + 116

Hope this helps!
Have a great day!

5 0
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How is a net useful when finding the surface area of prisms and pyramids?
Sladkaya [172]
I believe it is because with a net you simply find the area, and measuring 2D shapes is far easier than 3D shapes.
Hope this helped!
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3 years ago
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