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grandymaker [24]
3 years ago
11

The basketball team scored 89 points in just two- and and three baskets. The number of two points baskets was 27 more than the n

umber of three point baskets. How many two point and three pointers did the team make?
Mathematics
1 answer:
kvv77 [185]3 years ago
3 0

Answer:

The team made 27 two pointers and 7 three pointers.

Step-by-step explanation:

We can solve this question by a system of equations.

I am going to say that:

x is the number of two point baskets.

y is the number of three point baskets.

The team scored 89 points

This means that 2x + 3y = 89

The number of two points baskets was 27 more than the number of three point baskets.

This means that x = 27 + y

So

2x + 3y = 89

2(27 + y) + 3y = 89

54 + 2y + 3y = 89

5y = 35

y = \frac{35}{5}

y = 7

x = 27 + y = 27 + 7 = 34

The team made 27 two pointers and 7 three pointers.

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8 0
3 years ago
Point M is the midpoint of AB. The coordinates of point A are (−7, 1) and the coordinates of M are (−2, 2). What are the coordin
notka56 [123]

Answer:

\huge{\boxed{\sf{ ( 3 , 3 ) }}}

Step-by-step explanation:

Co-ordinates of point A = ( -7 , 1 )

Co-ordinates of point M = ( -2 , 2 )

Let the co-ordinates of point B be ( x , y )

A ( -7 , 1 ) \longrightarrow ( x1 , y1 )

B ( x , y ) \longrightarrow ( x2 , y2 )

Now,

Midpoint = (\frac{x1 + x2}{2}  , \frac{y1 + y2}{2} )

⇒( -2 , 2 ) = ( \frac{-7 + x}{2}  , \frac{1 + y}{2} )

Finding the value of x :                    

⇒-2 = \frac{-7 + x}{2}

Do cross multiplication                

⇒-4 = -7 + x

⇒-7 + x = -4

⇒x = -4 + 7

⇒x = 3

Now, finding the value of y

⇒2 = \frac{1+y}{2}

Do cross multiplication

⇒4 = 1+y

⇒1+y = 4

⇒y = 4 - 1

⇒y = 3

Hence, The co-ordinates of point B = ( 3 , 3 )

Hope I helped!

Best regards!

~\text{ TheAnimeGirl}

4 0
3 years ago
there are 100 movies at the store 30/100 are action movies 50/100 are comedies and 20/100 are adventure movies what part of the
pogonyaev

Answer:30 action and 50 comedies which is 80/100 or 80%/100%

Step-by-step explanation:

8 0
3 years ago
these problems been confusing me for a while- if you could please help me with the answers that would be amazing.
bulgar [2K]

Answer:

Angle 1 = 85*

Angle 3 = 85*

Angle 4 = 95*

Angle 5 = 85*

Angle 6 = 95*

Angle 7 = 85*

Angle 8 = 95*

Step-by-step explanation:

Since angle 2 is 95*, angle 4 would be the exact same. Now you add 95+95=190 and subtract that from 360. 360-190=170. Then divide 170 by 2= 85 to get the measurements for 1 and 3.

5 0
3 years ago
Jessica’s car depreciates in value by 11% per year. Jessica bought her car for £21000. Work out how much her car will be worth a
marishachu [46]

Answer:

Brainliest

Step-by-step explanation:

21,000 x 0.89^7 =

9,288.58032806109 = 9288.58

6 0
3 years ago
Read 2 more answers
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