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

Answers

Answer 1

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


Related Questions

if 4g-2g = 30 what does g symbol

Answers

If you are asking for the value of g, it is as follows.

4g-2g=30

2g=30

g=15

Therefore, the g=15.

Answer:

15

Step-by-step explanation:

4g-2g = 30

2g = 30

g = 15

What equation will you use to solve this problem.

Answers

The third one
C=Dpie

Answer:

The answer is D! Sorry if I get the answer wrong.

Step-by-step explanation:

The graphs below have the same shape. What is the equation of the blue
graph?

Answers

i believe it’s cAnswer:

Step-by-step explanation:

Expand and simplify (x – 2)(2x + 3)(x + 1)

Answers

Answer:

Step-by-step explanation:

(x-2)(2x+3)(x+1)

=x(2x+3)-2(2x+3)(x+1)

=(2x^2+3x-4x-6)(x-1)

=(2x^2-x-6)(x-1)

=2x^2(x-1)-x(x-1)-6(x-1)

=2x^3-2x^2-x^2+x-6x+6

=2x^3-3x^2-5x+6

( x - 2 )( x + 1 )( 2x + 3 ) =

( x^2 - x - 2 )( 2x + 3 ) =

2x^3 - 2x^2 - 4x + 3x^2 - 3x - 6 =

2x^3 + ( -2 + 3 )x^2 + ( - 4 - 3 )x - 6 =

2x^3 + x^2 - 7x - 6

which point best represents v 10

Answers

the answer is s i think

Answer:

s

Step-by-step explanation:

I think so cuz im doin the test rn

9
The volume of a cylinder is 121 cubic inches and its height is 4 inches.
a)
What is the radius of the cylinder?
b) What is the surface area of the cylinder? Give your answer in terms of īt.

Answers

Answer:

r=3.10in

SA= 138.22 in square

Step-by-step explanation:

Given data

Volume = 121 in^3

Height= 4 in

a) What is the radius of the cylinder?

 We know that volume

 V=πr^2h

121= 3.14*r^2*4

121= 12.56r^2

121/12.56= r^2

9.63=r^2

r= √9.63

r=3.10in

b) What is the surface area of the cylinder? Give your answer in terms of īt.

The surface area of cylinder is expressed as

SA=2πrh+2πr^2

SA= 2*3.14*3.1*4+ 2*3.14*3.1^2

SA= 77.872+60.3508

SA= 138.22 in square

An airplane is flying at an altitude of 3,500 feet. It drops 680 feet, and then rises 725 feet. At what altitude is the airplane at now?

Answers

3,500-680= 2,820 feet
2,820+725= 3,545 feet

ANSWER:
3,545 feet

PLZZZZZZZZZZZZ


She had a coupon for 15% off. The tax rate was 7.75%. If the subtotal was $35, how much money did Ms. Morel actually pay in total (after the discount and tax)? *

Answers

Answer:32.05

Step-by-step explanation:

SO after tax the total would be  $37.71.With original price $37.71 and 15% discount,

Price after discount: $32.05

You saved: $5.66

Can anyone help me with this problem

Answers

Answer:3^2

Step-by-step explanation:

I think it is 3 with exponent of 3 because if its asking for side length of 9 then 3 x 3=9

What is the percent for 82?

Answers

82% of 100 = 82%

Depends on what you’re asking 82% of but usually it would be of 100.. hope this helps

I need answer Immediately pls!!!!!!!!

Answers

Step-by-step explanation:

write what you know

the flat fee doesnt chamge no matter how much he uses his data

the charge for every gigabyte does change

Ex: if he uses 3 gigabytes of data in one month, that's

5 + 5 + 5 = $5 x 3 = $15

So taking this into consideration youd write the following

$41.50 + $5x = $52.50 (since this is what we want to equal)

then solve for x

Tell whether the dilation is a reduction or an enlargement.

5. triangle with C, P, P, Q, Q, R, R

6. triangle with C, X, X, Y, Y, R, R

7. triangle with C, R, R, P, P, Q, Q

Answers

Answer:

Step-by-step explanation:

can you explain

Answer:

fid6iydydydyfhfyoocycyocovuouc

You can buy 15 stickers for $10 how much would 12 stickers cost

Answers

Answer:

8 dollars

Step-by-step explanation:

We can write a ratio to solve

15 stickers            12 stickers

------------------ = ----------------------

10 dollars           x dollars

Using cross products

15 *x = 12 * 10

15x = 120

Divide each side by 15

15x/15 = 120/15

x =8

8 dollars

Answer:

8.4

Step-by-step explanation:

Help me please I’m confused

Answers

Answer:

Step-by-step explanation:

Start at (-2, 0).  The curve (a sinusoidal) continues to the right and ends at (6, 0).  That's an interval of 8.  Then, after another 8 units on the horizontal axis, the curve repeats itself again.  This is a "periodic function," with period 8.

What is 14.235 rounded to the nearest tenth?





Answers

Answer:

14.2 because 3 is less than 5 so you round down.

i think

14.35 rounded to the nearest tenth is 14.2.

Hope this helps! have a great day!

Please answer this for me correctly. THANK YOU!!

Answers

Answer:

The answer is <MQL.

iq scores are normally distributed with a mean of 100 and a standard deviation of 15. What percentage of people have an IQ between 130 and 100 a)13.5% b)47.5% c)95% d)27%

Answers

Answer:

"approximately 47.%"

Step-by-step explanation:

Using the statistical function normalcdf( on my old TI-38 calculator:

normalcdf(100,130, 100, 15) returns the fraction 0.477,

so the final answer here is "approximately 47.%"

please help please please please please please someone helpppp please please please pleaseeeeeeeee

Answers

Answer:

which class

Step-by-step explanation:

which class question is this

Enter an algebraic expression to model the given context. Give your answer in simplest form.
The principal amount P originally deposited in a bank account plus 0.8% interest
The algebraic expression is

Answers

Answer:

A=P(1.008t)

Step-by-step explanation:

Given data

Principal=P

Rate= 0.8%

The expression for the amount in a simple interest is given as

A=P(1+rt)

Hence the expression is

A=P(1+0.008t)

simplify

A=P(1.008t)

can someone help with this? immediately!

Answers

Step-by-step explanation:

in purple box write constants..

in green box write variable.

in redbox write coefficient..

the black box which is present below 12 right constant term..

the black box which is present below 3y write variable term..

hope it helps

PLS HELP I GIVE CROWN THINGY

Answers

Answer: 653

Step-by-step explanation:

Answer:

653 rounds up to 700

Step-by-step explanation:

- Approximately 6.5 x 10^5 gallons of water flow over a waterfall each second. There are 8.6 x 10^4 seconds in 1 day. » Select the approximate number of gallons of water that flow over the waterfall in 1 day. A 5.59 x 10^10 B 5.59 x 10^9 C 5.59 x 10^20 D 5.59 x 10^19​

Answers

Answer:

The approximate number of gallons of water that flow over the waterfall in 1 day is:

A. 5.59 x 10^10

Step-by-step explanation:

To obtain the answer to the question, you must multiply the number gallons of water flow over a waterfall each second (6.5 x 10^5 gal/s) by the number of seconds in a day (8.6 x 10^4 s), as I show you below:

Gallons of water that flow over the waterfall in 1 day = Number of gallons * Number of seconds in a day.Gallons of water that flow over the waterfall in 1 day = 6.5 x 10^5 gal/s * 8.6 x 10^4 s

Now, we must cancel the seconds, then:

Gallons of water that flow over the waterfall in 1 day = 5.59 x 10^10 gallons

How you can see, once you have multiplied these two values, the answer is the same to the option A.

The graph shows two lines, A and B.

A graph is shown with x- and y-axes labeled from 0 to 6 at increments of 1. A straight line labeled A joins the ordered pair 2, 6 with the ordered pair 6, 2. Another straight line labeled B joins the ordered pair 0, 3 with the ordered pair 4.5, 6.
Part A: How many solutions does the pair of equations for lines A and B have? Explain your answer.
Part B: What is the solution to the equations of lines A and B? Explain your answer.

Answers

Answer:

(3, 5)

Step-by-step explanation:

See attached

Part AThere is one solution as lines intersectPart BSolution is the intersection point, which is (3, 5)

Answer:

Part A: There is one solution because the intersect point is the answer and there is only one intersect point.

Part B: The solution is (3,5) because (3,5) is the intersect point for the equation and the answer is going to be the intersect point.

Step-by-step explanation:


What is £10-2x £1.44

Answers

I think the answer is 7.12

HOW TO DO THIS QUESTION PLEASE ​

Answers

Answer:

34

Step-by-step explanation:

[tex]\frac{2}{5}*85[/tex]

Long way

multiply the two numeratorsmultiply the two denominatorssimplify the new fractions

[tex]\frac{85}{1}*\frac{2}{5} \\ \\ \frac{170}{5} \\ \\ =34[/tex]

short way

-can be simplified before mulitplying

factor out common factors in the numerator and denominator

[tex]\frac{85}{1} *\frac{2}{5} \\ \\ \frac{17}{1}*\frac{2}{1} =34[/tex]

Think 85 and 5 as nickels. You need 20 nickels to make 100. Subtract 100 by 85 to get 15. You get 3 nickels and 17 nickels. 17 is the common factor. Multiply 17 by 2 to get your answer.

Equation:y=5/3x+5
Slope:5/3
y-intercept:?

Answers

the y intercept will be 5

Answer:

y = -5 hope this helps you out

Consider the following graph, which indicates collected data on the weight of a certain species of swallow and the number of leaves it weaves into its nest. A graph titled Swallow Nests has size of bird (grams) on the x-axis and number of leaves used in nest on the y-axis. Points are scattered throughout the graph. What aspect of this graph is likely being emphasized by the choice of graph style, choice of scale, and so on? a. the unrelated nature of the data b. the broad differences over short intervals c. the total values of the data as a whole d. the indirect connection between weight and leaf content

Answers

Answer:

d

Step-by-step explanation:

edg 2020/21

what's equivalent to (9 7/8 + 2 4/5) - 1/2​

Answers

Answer:

12.175

Step-by-step explanation:

also

Step-by-step explanation:

C) 9 7/8 - (- 2 4/5) - (- 1/2) =

= 9 7/8 + 2 4/5 + 1/2 (F)

D) - (- 9 7/8 + 2 4/5) - 1/2) =

= 9 7/8 - 2 4/5 - 1/2 (F)

E) 9 7/8 - (- 2 4/5 - 1/2) =

= - 7/8 + 2 4/5 + 1/2 (F)

Answer:

12 7/40

Step-by-step explanation:

9 7/8 = 9 35/40

2 4/5 = 2 32/40

add:  11 67/40

67/40 = 1 27/40

11 + 1 27/40 = 12 27/40

12 27/40 - 20/40 = 12 7/40

5.25% sales tax of $35.90

Answers

1 dollar and 88 cents

At 3:00 pm the temperature in Pittsburgh was 93 degrees Fahrenheit decreased at a rate of 2 degrees Fahrenheit every 30 minutes. What was the temperature at 7:30 pm?

Answers

The answer is 76 degrees
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