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Hatshy [7]
3 years ago
12

Michael averages 5 three-pointers in his first 4 basketball games. How many does he need to score at his 5th game in order to br

ing his average to 6 three-pointers per game?
Mathematics
1 answer:
igor_vitrenko [27]3 years ago
4 0

Answer:

10

Step-by-step explanation:

The easiest way to understand this is not the shortest way.

Give Michael 4 fives and then add an x.

5 + 5 + 5 + 5 + x

Now divide by 5 and equate that to 6

(5 + 5 + 5 + 5 + x)/5 = 6              

Combine the left side

(20 + x)/5 = 6

Multiply by 5

(20 + x) = 6*5

20 + x = 30

Subtract 20 from both sides

x = 30 - 20

x = 10

He needs 10 three - pointers to average 6

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5(6x - 1) - 10x + 5 = 4(x + 10) - 4x
Dmitry [639]

Answer:

x=2

Step-by-step explanation:

5(6x-1)-10x+5=4(x+10)-4x

simplify both sides

30x-5-10x+5=4x+40-4x

Simplify even further

20x=40

x=2

3 0
4 years ago
Which decimal represents the fraction of cats in this group that are black?
Lubov Fominskaja [6]
Since there are 8 total, and 4 is the amount to find as a fraction, we simply divide 4 by 8 to get 4/8
3 0
4 years ago
A group of students is given a 10 by 10 grid to cut into individual unit squares. The challenge is to create two squares using a
givi [52]

Answer:

8 is the side length of the greater square.  100=x^2+(x-2)^2

Step-by-step explanation:

64+36=100

8 squared plus 6 squared equals 10 squared

8 is 2 more than 6

100=x^2 +y^2

x-y=2

100=x^2+(x-2)^2

7 0
3 years ago
Twice the sum of a number and seven is eight find the number
pickupchik [31]
<span>twice the sum of a number and seven is 8
2(x+7)=8</span>
7 0
3 years ago
Determine if (3, 7) is a Solution or not Solution to the linear system.
spayn [35]

Answer:

y = 2x + 1 --> linear

y = -4x + 7 --> non-linear

Not a solution for linear system.

Step-by-step explanation:

for (a), y = 2x+1, substitute the x and y values. keep in mind, that in a linear pair, (x, y). So, for the first equation you get:

7 = 2x3 + 1. This is correct, because 6 + 1 is 7. Therefore, (a) is linear.

for (b), we have to substitute our values again. You get:

7 = -4x3 + 7, which is

7 = -12+7, which is not true. So, (b) is not linear.

This means that for the linear pair (3, 7), it does not satisfy both equations, which means that it is not a solution for the linear system.

7 0
3 years ago
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