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nexus9112 [7]
3 years ago
10

Rahul, a coach at a local school has collected data on his players. But in an accident he lost how many games each player partic

ipated in. He knows that per game Michael played 30 minutes, had 1 foul, and 2 goals. Per game, Sherry played 25 minutes, had 1 foul, and 5 goals. Rashad played 20 minutes, had 2 fouls, and 4 goals per game. Rahul also knows that the total amount of all three players. Together they played 370 minutes, had 20 fouls, and 58 goals. Can you use algebra to determine how many games each athlete played in
Mathematics
1 answer:
Arada [10]3 years ago
5 0

Answer:

Michael played 4 games, Sherry played 6 games and Rashad played 5 games

Step-by-step explanation:

Let X, Y and Z represents the  number of games for the three players.

Based on the given information, three equations can be formed -

30 X + 25 Y + 20 Z = 370 ---(1)

X + Y + 2Z = 20 ---(2)

2X + 5Y + 4 Z = 58 ---(3)

From Equation (2), X = 20 -Y-2Z

Substituting value of X from equation 2, in equation 1 and 2, we get -

30 (20-Y-2Z) + 25 Y + 20 Z = 370

600 -30Y-60Z + 25 Y + 20 Z = 370

-5Y -40Z = -230

Y + 8Z = 46 ----(4)

2(20-Y-2Z) + 5Y + 4 Z = 58

40 -2Y-4Z + 5Y + 4 Z = 58

3Y = 18

Y = 6

Substituting value of Y in equation 4, we get -

8Z = 46-6

8Z = 40

Z = 5

Substituting value of Y and Z in equation 2 we get

X + 6 + 2* 5 = 20

X = 20-16 = 4

Hence, Michael played 4 games, Sherry played 6 games and Rashad played 5 games

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Help pleaseeeeeee, I need help
Arlecino [84]

Answer:

15, 60, and 61

Step-by-step explanation:

First we have to find the 3rd side length from 2 side length chosen. So let’s pick 8 meters and 11 meters, to find the third side length we use the Pythagorean theorem: c^2 = a^2 + b^2

c = 11^2 + 8^2 = 121 + 64 = 185 = 13.6

13.6 isn’t one of the answers so we can’t pick 11 & 8. Let’s try 11 & 15:

c = 15^2 + 11^2 = 225 + 121 = 346 = 18.6

18.6 isn’t one of the answers either. Let’s try 15 & 60:

c = 60^2 + 15^2 = 3600 + 225 = 3825 = 61.85

61.85 might be it but let’s try one more just in case:

c = 60^2 + 61^2 = 3600 + 3721 = 7321 = 85.6

Nope! That means 15, 60, and 61 are the answer. I hope this is correct!

5 0
3 years ago
Mr. Vogel is riding the stationary bike at the gym. He completes 41 1/2 wheel rotations even 1/3 minute. what Mr Vogel's unit ra
Eva8 [605]
1/3times3=3/3 3/3 is the same as a whole so do 41 and 1/2 times 3 this gets you an answer of 124.5 meaning the unit 124.5x he makes 124.5 rotations per minute
4 0
3 years ago
Which number line shows the solution of -5x + 10 > -15?
Allushta [10]

Answer:

See attached.  Line for x<5.

Step-by-step explanation:

Solve the equation for x.  Remember that the "<" and ">" signs are reversed when dividing or multiplying by a negative value.

8 0
2 years ago
What is the value of 'y' in <br> x = 2y + 6
irina1246 [14]

Answer: (x-6)/2

Step-by-step explanation:

x=2y+6

x-6=2y

(x-6)/2=y

y=(x-6)/2

5 0
2 years ago
Given ABC is similar to DEF and BC = 8, what is the value of EF?
lbvjy [14]

In similar triangles ratios of corresponding sides are constant, so

|AB|/|DE| = |BC|/|EF|

5/10 = 8/|EF|

|EF| = (8*10)/5 = 16

|EF| = 16

6 0
3 years ago
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