Each year, votes are cast for the rookie of the year in a softball league. The voting results for the top three finishers are shown in the table below. How many points is a third-place vote worth?

Each Year, Votes Are Cast For The Rookie Of The Year In A Softball League. The Voting Results For The

Answers

Answer 1

Answer:

A third place vote is worth 1 point

Step-by-step explanation:

Let the number of points for a first place vote be x, number of points for a second place vote be y and the number of points for a third place vote be z.

So, by multiplying the number of points by the number of what the point is worth and adding all together, we shall have the total points;

Hence, we have the following equation systems;

23x + 5y + z = 131

5x + 17y + 4z = 80

x + 5y + 15z = 35

These are the three equations we need to solve simultaneously to get the value of z

From equation 3, x = 35 -5y -15z

Insert this into the first two equations;

23 ( 35 -5y -15z) + 5y + z = 131

5(35-5y-15z) + 17y + 4z = 80

805 - 115y -345z + 5y + z = 131

805-131 = 115y + 345z -5y - z

674 = 110y + 344z ••••••••••(*)

The second equation now becomes the following;

5(35-5y-15z) + 17y + 4z = 80

175 -25y -75z + 17y + 4z = 80

175-80 = 25y + 75z -17y -4z

95 = 8y + 71z

8y + 71z = 95 •••••••••••(**)

So we have to solve x and xx simultaneously;

110y + 344z = 674

8y + 71z = 95

110/8 = 13.75 , so multiply equation xx by 13.75 and equation x by 1

110y + 344z = 674

110y + 976.25z = 1306.25

Subtract equation xx from x

(976.25z - 344z) = (1306.25 -674)

632.25z = 632.25

z = 632.25/632.25

z = 1


Related Questions

Kate jogged for 37 minutes, 23 seconds, and Phil jogged for 23
minutes, and 43 seconds. (a) How much longer did Kate jog than
Phil? (b) What was the combined jogging time for the two?
(1 min. = 60 sec.)


Answers

Answer:

a. 13 min, 40 sec

b. 81 min, 6 sec

Step-by-step explanation:

the answer will be 180

Answers

Answer: What is your question?

Step-by-step explanation:

What is the equation of the line?
A. y=2x+2
B. y=2x-4 C.
y=1/2x+2
D. y=1/2x-4

Answers

Answer:

The equation for the line that is shown is: Answer choice C.

[tex]y =\frac{1}{2}x+2[/tex]

Step-by-step explanation:

From what I can see, there is several clues that can lead us to our answer by just looking at the graph:

y - interceptWhether if the slope is positive or negative

A. Your y - intercept is where your line crosses at a point on the y - axis, so your y - intercept is:

y - intercept = 2

If you do not know, the y - intercept form in slope - intercept form is the 'b' value:

[tex]y = mx + b[/tex]

[tex]b =[/tex] y - intercept

[tex]mx =[/tex] slope (m is actually the letter that represents it, but thought I might include x in it to show you from the formula)

Now that you have found your 'b' value, you can eliminate several answer choices: Answer choice B. and D.

B. Now we will see if the slope is positive or negative.

To find out whether it is positive or negative, we would have to take a look at the direction of the line, in this case, the line is going upwards to the right, meaning the slope is positive.

C. Now to find the slope:

To do this we must know the fraction like form of a slope, this would be:

(m = slope)

To determine the slope, m, it is [tex]\frac{RISE}{RUN}[/tex]

'Rise' meaning the y point and 'run' being the x point

In this case:

the line rises up 1 and runs over 2

so, m = [tex]\frac{1}{2}[/tex]

Your final answer will be:

[tex]y =\frac{1}{2}x+2[/tex]

Which rays are part of line BE? (Select all that apply)​

Answers

Answer:

AB and AE

Step-by-step explanation:

what is 80 cents + 45 cents

Answers

Answer: 1.25

Step-by-step explanation:

$0.80

$0.45                  (when adding 8+4 you carry the 1 from 12 to the 0s

-------------

 1   . 2  5

Amy is running in the 100-meter dash at her school's annual track meet. If Amy's speed is 8 meters/second, how long will it take her to run 100 meters?

A.
8.5 seconds
B.
10 seconds
C.
12.5 seconds
D.
15 seconds

Answers

Answer:

c

Step-by-step explanation:  since shes running 8 meters a second you would divide 100 meters by 8 meters

17. A golfer takes a swing from a hill twenty feet above the cup
with an initial upwards velocity of 32 feet per second. How
long does it take the ball to land on the ground near the cup?

Answers

Answer:

The height as a function of time is

h(t) = -(1/2)gt2 + v0t + h0

h(t) = -16t2 + 32t + 20

The ball reaches the ground when h(t) = 0

-16t2 + 32t + 20 = 0

Solve this quadratic equation for t.  You will get a positive solution and a negative solution.  Discard the negative solution, since time begins at t=0 at the moment the ball is struck.  Can you finish from here?

2(-4p-6)-5p
rewrite in simplest form

Answers

-8p-12-5p

Answer: -13p-12

Answer:

-13p-12

Step-by-step explanation:

how many times greater is 9 times 10 to the 5 power than 8 times 10 to the 2 power

Answers

Answer:

1125 times bigger

Step-by-step explanation:

The Andersons are buying a paddle
boat for $540. They plan to pay in four
equal payments. How much will their
payments be?

Answers

Answer:

$135 each

Step-by-step explanation:

Since they plan to pay in 4 equal payments and the total is $540, you'd divide 540 ÷ 4 and it will give you $135

Answer:

135

Step-by-step explanation:

540/4=135

hope this helps :3

if it did pls mark brainliest

Someone please answer this ill give you a brainliest

Answers

Answer:

[tex]\displaystyle y=\frac{1}{2}x-2[/tex]

Step-by-step explanation:

The equation of the line in slope-intercept form is:

y=mx+b

Being m the slope and b the y-intercept.

Suppose we know the line passes through points A(x1,y1) and B(x2,y2). The slope can be calculated with the equation:

[tex]\displaystyle m=\frac{y_2-y_1}{x_2-x_1}[/tex]

The points are (-6,-5) and (-4,-4), thus:

[tex]\displaystyle m=\frac{-4+5}{-4+6}=\frac{1}{2}[/tex]

Knowing the value of the slope, the equation of the line is:

[tex]\displaystyle y=\frac{1}{2}x+b[/tex]

The value of b can be found using any of the points in the equation and solving for b. Let's pick the point (-6,-5):

[tex]\displaystyle -5=\frac{1}{2}(-6)+b[/tex]

Operating:

-5=-3+b

Solving:

b=-2

The equation of the line is:

[tex]\boxed{\displaystyle y=\frac{1}{2}x-2}[/tex]

The graph below shows the relationship between time and distance traveled by a race car moving at a
constant rate and at its maximum speed. How long did it take the race car to travel 480 miles?
Race Car Data
Distance (miles)
800
700
600
500
400
300
200
100
0
0.5 1.5 2.5 3.5 4.5 5.5 6.5
Time (hours)

Answers

Answer:

It takes 2.4 hours to travel 480 miles.

Step-by-step explanation:

From the graph race car is moving at 100 miles in 0.5 hours. So, in 1 hour, car could travel 2*100 =200 miles per hour.

So, we can set up equation as

y= 200x.

Plug in y as 480 then solve for x.

480 =200x

Divide both sides by 200

2.4=x

So, it would take 2.4 hours.

Allie has $20 to spend to take some friends bowling. It costs $4 per person to rent shoes. The bowling alley is running a special where each game costs $1, no matter how many players. If Allie and her friends want to play three games and each person has to rent shoes, how many friends can Allie bring? * does some one know the answer??

Answers

Answer:

Have a great day!

Step-by-step explanation:

1 dollar per game for 3 games would cost 3 dollars.

20 subtracted by 3 is 17.

17 divided by 4 is 4.

The number of shoes they can rent is 4.

Hope this Helps!

Two pools are being drained. To start, the first pool had 3850 liters of water and the second pool had 4370 liters of water. Water is being drained from the first pool at a rate of 33 liters per minute. Water is being drained from the second pool at a rate of 43 liters per minute. Let x be the number of minutes water has been drained. (a) For each pool, write an expression for the amount of water in the pool after x minutes.
Amount of water in the first pool (in liters) =

Amount of water in the second pool (in liters) =

(b) Write an equation to show when the two pools would have the same amount of water.​

Answers

Answer:

(a)

Amount of water in the first pool (in liters) = 3850 liters - 33 liters per minute * x minutes

Amount of water in the second pool (in liters) = 4370 liters - 43 liters per minute * x minutes

(b)

3850 liters - 33 liters per minute * x minutes= 4370 liters - 43 liters per minute * x minutes

Step-by-step explanation:

(a) With x being the minutes after which you want to calculate the amount of water in the pool, to calculate this amount of water you must subtract the water drained from the initial amount of water that the pool contains.

Knowing that, for example, the water from the first pool drains at a rate of 33 liters per minute, then after x minutes, the total water drained will be 33 liters per minute * x minutes. Then:

Amount of water in the first pool (in liters) = 3850 liters - 33 liters per minute * x minutes

Reasoning in the same way:

Amount of water in the second pool (in liters) = 4370 liters - 43 liters per minute * x minutes

(b)  Now want to know when the two pools would have the same amount of water.  If they have the same amount of water then you can express:

Amount of water in the first pool = Amount of water in the second pool

Replacing the expressions found in (a):

3850 liters - 33 liters per minute * x minutes= 4370 liters - 43 liters per minute * x minutes

The table shows the weights of two dogs. What is the weight of each dog?

Answers

Answer:

90, 64

Step-by-step explanation:

Rottweiler is 90

German Shepard is 64

Which construction correctly shows how to construct a perpendicular bisector ok XY?
A). a
B). b
C). c
D). d

Answers

Answer:

A

Step-by-step explanation:

usa test prep

The temperature on Friday was 35°F. By Monday, it was 2 times as warm. What was the temperature on Monday?

Joe's equation: 35 plus 2 equals m

Answers

Answer:

70 degrees Fahrenheit

Step-by-step explanation:

monday = friday * 2

monday = 35 * 2

monday = 70

Kellie is given the following information:

If two lines are perpendicular, then they intersect at a right angle. Lines A and B are perpendicular.

She concludes that lines A and B intersect at a right angle. Which statements are true? Check all that apply.

Answers

Answer:

What are the available answers to choose from?

Step-by-step explanation:

Answer:

it's b, c, e

Step-by-step explanation:

The subatomic particles ________________ and __________ are located in the nucleus.
omg pls help meeeeeeee

Answers

protons and neutrons

Answer:

protons and neutrons

Step-by-step explanation:hope this helps

Do the lines given by the equations below intersect at the point (4,-6)? Explain why or why not.
2x - y = 14
x - 3y = 22

A. No, (4, -6) is not a point of intersection because it is not a solution to x - 3y = 22.
B. Yes, (4, -6) is a point of intersection because it is a solution to both equations.
C. No, (4 ,-6) is not a point of intersection because it is not a solution to 2x - y = 14.
D. No, (4, -6) is not a point of intersection because it is not a solution to either equations. ​

Answers

Answer:

B. Yes, (4, -6) is a point of intersection because it is a solution to both equations.

Step-by-step explanation:

In order to find if a certain point exists on a line or not, we can simply substitute in the values, and see if the result is valid. Here we are given the point (4,-6), this means our x=4 and our y=-6. If this point lies on a line, then substituting in the values should result in a valid equation. Let's try the first one:

2x-y=14

2(4)-(-6)=14

8+6=14

14=14

This equation is valid which means the point (4,-6) is indeed a point on the first given line equation.

Now for the second one:

x-3y=22

(4)-3(-6)=22

4+18=22

22=22

This is also a valid equation meaning the point (4,-6) also exists on the second line equation. Since this point exists on both lines, they will intersect each other on a graph. Therefore the best answer here is B. Yes, (4, -6) is a point of intersection because it is a solution to both equations.

Hope this helped!

Statement 4(6x+1) +4 =104 reason ?

Answers

Answer:

x = 4

Step-by-step explanation:

4(6x+1) +4 =104

            -4     -4

4(6x+1) = 100

distribute

24x + 4 = 100

       -4       -4

24x = 96

x = 4

To check your work, substitute the x value into the equation.

4(6(4)+1) +4 =104

4(25) + 4 = 104

104 = 104

It is correct, one solution.

PLEASE ANSWER THIS ASAP

Answers

Answer:

Function

Step-by-step explanation:

If you drew a line through the graph, the line would not intercept each point on the graph more than once.

5x = 5x is an example of which property

Answers

Answer:

Reflexive property

Step-by-step explanation:

This property states that any real number equals itself

Example: z=z

Marissa created a graph to show her hair growth since her last haircut. Which table represents the same relationship?

Answers

Answer:

soo the table isnot here but look for the one that has the nnumbers going up if its a graph the / that is the way of te numbers  but \ is going down soo aviod

if posible

Step-by-step explanation:

....

Answer:

I believe the answer is D

Step-by-step explanation:

I took the quiz on edge, the answer is D :)

Find the midpoint of the line segment joining the points R(3,3) and S(-1,6).

Answers

Answer:

(3+1/2,3+6/2)

(4/2,9/2)

(2,4.5)

Step-by-step explanation:

it may help you to understand

What is 12/7 written as a mixed number in simplest form?

Answers

Answer:

1 5/7

Step-by-step explanation:

Find the complex zeros of the following polynomial tunction and use the complex zeros to factor f

f(x)= x^3-15x^2+79x-145

Answers

Answer:

x = 5 or x = 5 + 2 i or x = 5 - 2 i

Step-by-step explanation:

Solve for x:

x^3 - 15 x^2 + 79 x - 145 = 0

Hint: | Factor the left-hand side.

The left hand side factors into a product with two terms:

(x - 5) (x^2 - 10 x + 29) = 0

Hint: | Find the roots of each term in the product separately.

Split into two equations:

x - 5 = 0 or x^2 - 10 x + 29 = 0

Hint: | Look at the first equation: Solve for x.

Add 5 to both sides:

x = 5 or x^2 - 10 x + 29 = 0

Hint: | Look at the second equation: Solve the quadratic equation by completing the square.

Subtract 29 from both sides:

x = 5 or x^2 - 10 x = -29

Hint: | Take one half of the coefficient of x and square it, then add it to both sides.

Add 25 to both sides:

x = 5 or x^2 - 10 x + 25 = -4

Hint: | Factor the left-hand side.

Write the left hand side as a square:

x = 5 or (x - 5)^2 = -4

Hint: | Eliminate the exponent on the left-hand side.

Take the square root of both sides:

x = 5 or x - 5 = 2 i or x - 5 = -2 i

Hint: | Look at the second equation: Solve for x.

Add 5 to both sides:

x = 5 or x = 5 + 2 i or x - 5 = -2 i

Hint: | Look at the third equation: Solve for x.

Add 5 to both sides:

Answer: x = 5 or x = 5 + 2 i or x = 5 - 2 i

What is the discrimination of the quadratic equation 8x^2-2x-1=0

Answers

Step-by-step explanation:

b = -2 , a = 8 , c = -1

x= b^2 - 4ac

x = (-2)^2 - 4(8)(-1)

x = 4 + 32

x = 36

36 > 0

2 real solutions?

I'm not sure for the answer OwO

whAT IS 7 TO THE POWER OF TEN PLUS 8 TO THE POWER OF 17 DIVIDED BY 3

Answers

Answer:

7.5e+14

Step-by-step explanation:

Used a calculator

that is a huge number but i think i did the math kind of right and it came out to 750,600,032,053,499 for me at least,,, good luck

According to the number line, what is the distance between points A and B?
A
B
_16-14-12-10 -3 -6 1 -2 0 2 4 6 8 10 12 14 16
6 units
7 units
12 units
14 units

Answers

Answer:

14 units.

Step-by-step explanation:

Because your trying to find the distance between you add the negative and positive together.

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