1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
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

You might be interested in
Image of math question below
vitfil [10]
The second one 

Hope this helps :D
7 0
2 years ago
Read 2 more answers
How many three digit numbers have digits whose sum is greater than 2?
LenaWriter [7]

Answer:

896

Step-by-step explanation:

Let's talk first about how many 3 digit numbers there are. The first 3 digit number is 100 and the last is 999. So there are 999-100+1 numbers that are 3 digits long. That simplifies to 900.

Now let's find how many of those have a sum for the digits being 1, then 2 ? Then take that sum away from the 900 to see how many 3 digit numbers have the sum of their digits being more than 2.

3 digit numbers with sum of 1:

The first and only number is 100 since 1+0+0=1.

We can't include 010 or 001 because these aren't really three digits long.

3 digit numbers with sum of 2:

The first number is 101 since 1+0+1=2.

The second number is 110 since 1+1+0=2.

The third number is 200 since 2+0+0=2.

That's the last of those. We could only use 0,1, and 2 here.... Anything with a 3 in it would give us something larger than or equal to 3.

So there are 900-1-3 numbers who are 3 digits long and whose sum of digits is greater than 2.

This answer simplifies to 896.

3 0
3 years ago
Read 2 more answers
Speed cell wireless offers a plan of $40 for the first 400 minutes, and an additional $0.50 for every minute over 400. Let t rep
Jlenok [28]

Answer:

Step-by-step explanation:

c(t)=40:0≤t≤400

=40+0.50 (t-400):t≥400

6 0
3 years ago
To which subset of real numbers does the number 1/5 belong
Travka [436]
1/5 is an expression that represents 1÷5= .2
Since the return decimal equivalent doesn't go on forever and has a finite end, this is a member of the rational number set.
4 0
3 years ago
Find the area of a rectangle that has a length of (x - 5) and a width of (3x + 1).
avanturin [10]

Answer:

A=3x^2 -14x -5

Step-by-step explanation:

(x-5)(3x+1)

3x^2 +x -15x -5

3x^2 -14x -5

5 0
3 years ago
Other questions:
  • △ XYZ∼ △ DEF, YZ is 10 meters, ​ XZ ​ is 15 meters, and EF is 8 meters. What is ​ DF?
    11·2 answers
  • According to the University of Nevada Center for Logistics Management, 6% of all merchandise sold in the United States gets retu
    13·1 answer
  • Help me with this... please and thank you!
    6·1 answer
  • Number17) Find length of CD.
    10·1 answer
  • What number is the opposite of 0​
    8·2 answers
  • What is the answer 9-6x+5​
    10·2 answers
  • Science Final Exam
    7·1 answer
  • Free Brainliest to whoever answers first :)))
    12·2 answers
  • What is the mother land<br><br> A-Mother russia<br><br> B-Morther amica<br><br> C-mother shrek
    11·1 answer
  • Since a light year is a unit of astronomical distance equal to the distance light travels in one year, which phrase best complet
    9·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!