At a high school football game, admission is $5 for students and $10 for non-students. There were 500 people at the first game, and the school made $4,000 from admissions. In this activity, you will find the number of students and non-students at the game.

Please write the two equations algebraically and then solve :)

Answers

Answer 1

Answer:x = 200 students

y = 300 non-students

Step-by-step explanation:

5x + 10y = 4000

x + y = 500

Set y = 500-x

5x + 10(500-x) = 4000

5x + 5000-10x

-5x + 5000 = 4000

-5x = -1000

x = 200 students

y = 300 non-students

Let's double checks

5(200) + 10(300)

1000 + 3000 = 4000


Related Questions

what the slope of(12,7) (5,9) ​

Answers

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[tex]slope = \frac{9 - 7}{5 - 12} \\ [/tex]

[tex]slope = \frac{2}{ - 7} \\ [/tex]

[tex]slope = - \frac{2}{7} \\ [/tex]

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Answer:

[tex]\boxed {\boxed {\sf m= -\frac{2}{7}}}[/tex]

Step-by-step explanation:

The slope of a line can be found using the following formula:

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

Where (x₁,y₁) and (x₂,y₂) are the points on the line.

We are given the points (12,7) and (5,9). Therefore:

[tex]x_1=12\\y_1=7\\\\x_2=5 \\y_2=9[/tex]

Substitute the values into the formula.

[tex]m=\frac{9-7}{5-12}[/tex]

Solve the numerator.

Subtract 7 from 9 9-7=2

[tex]m=\frac{2}{5-12}[/tex]

Solve the denominator.

Subtract 12 from 5 5-12= -7

[tex]m=\frac{2}{-7}[/tex]

This fraction cannot be reduced further, so it is the answer.

The slope of the line is -2/7

Solve the simultaneous equations
x + 6y = 20
x + 3y = 14
x =
Y=

Answers

Answer:

x = 8, y = 2

Step-by-step explanation:

Multiply the second equation by -2:

x + 6y = 20

-2x - 6y = -28

Add the equations and simplify:

-x = -8

x = 8

Plug x = 8 back into the first equation and solve for y:

8 + 6y = 20

6y = 12

y = 2

Answer:

x=8

Y=2

or

(x,y)=(8,2)

Step-by-step explanation:

x+6y=20

x+3y=14

solve the equation for x

x+6y=20

x=14-3y

substitute the given value of x into the equation

x+6y=20

14-3y+6y=20

14+3y=20

3y=20-14

3y=6

3y/3=6/3

y=2.

substitute the given value of y into the equation

x=14-3y

x=14-3×2

x=14-6

x=8.

the possible solution of the system is the ordered pair (x,y)

(x,y)=(8,2)

or

x=8

Y=2

Proof:

Check if the given ordered pair is the solution of the system of equations

8+6×2=20

8+3×2=14

simply the equalities

20=20

14=14

since all of the equalities are true, the ordered pair is the solution of the system

(x,y)=(8,2)

Find an equation of the circle that has center (-1,6) and passes through (-6,1)

Answers

Answer:

(x + 1)² + (y - 6)² = 50

Step-by-step explanation:

The equation of a circle in standard form is

(x - h)² + (y - k)² = r²

where (h, k) are the coordinates of the centre and r is the radius.

The radius is the distance from the centre to a point on the circle.

Calculate r using the distance formula

r = [tex]\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }[/tex]

with (x₁, y₁ ) = (- 1, 6) and (x₂, y₂ ) = (- 6, 1)

r = [tex]\sqrt{(-6+1)^2+(1-6)^2}[/tex]

  = [tex]\sqrt{(-5)^2+(-5)^2}[/tex]

  = [tex]\sqrt{25+25}[/tex]

  = [tex]\sqrt{50}[/tex]

(h, k ) = (- 1, 6 ), then

(x - (- 1))² + (y - 6)² = ([tex]\sqrt{50}[/tex] )² , that is

(x + 1)² + (y - 6)² = 50 ← equation of circle

3. What problems would you encounter if the ladder were too short or too long? (1 point)

Answers

Answer and explanation:

If the ladder was too short you wouldn’t be able to get to the place you need the ladder for. If the ladder was too long you have a high chance of falling and being too high to reach where you’re trying to go. Hope this helps :p

The ladder were too short or too long  is p

If the ladder was too short you wouldn’t be able to get to the place you need the ladder for.

What is the right angle triangle?

A right triangle or right-angled triangle, or more formally an orthogonal triangle, formerly called a rectangle triangle, is a triangle in which one angle is a right angle or two sides are perpendicular.

If the ladder was too long you have a high chance of falling and being too high to reach where you’re trying to go.

Therefore the answer is :p

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after scoring a touchdown the billies linked up for the kickoff . the kicker kicked the football 60 yards deep into the end zone. the hang time on the ball was 8.5 seconds . what was the average speed of the ball​

Answers

Answer:

7 seconds i think let me know if its wrong

Step-by-step explanation:

Solve for x and y by elimination 3x+y=-1

Answers

Answer:

we need 2 equations to solve by elimination

Answer:

Step-by-step explanation:

for x

3x + y = -1

subtract 3x from both sides

y = -3x - 1

answer

for y

3x + y = -1

subtract y on from both sides

3x = -y -1

divide by 3

x = -1/2y - 1/3

answer

6 to the power 4 simplified

Answers

Answer:

1296

Step-by-step explanation:

6x6x6x6

6^4

Answer:

6×6×6×6

Step-by-step explanation:

I hope this helps

Find the missing value of x in the arithmetic sequence below.
x, 16, 20, 24, 28

Answers

Answer:

x=12

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

just find the arithimetic sequence and count backwards have a great day

NEED ASAP . Plz help

Answers

It’s 4 and what they said

How do you solve n=17

Answers

Answer:

uhm chile anyways

Step-by-step explanation:

i just want points lol

please help i’m so close to being done :(

Answers

Answer:39 i dont im 12 ps out

Step-by-step explanation:

Evaluate p2 - r2 for p = 10, r = -4 and t = 5.

Answers

Answer:

84

Step-by-step explanation:

p^2-r^2= 10^2-(-4)^2

100-16=84

If f(x) = 5x - 12, find f(x) when x= - 12

Plz answer

Answers

Answer:

-72

Step-by-step explanation:

first replace x with -12 so 5(-12)-12

then simplify which makes it -60-12

finally solve that which gives you -72

hope this helps :)

Evaluate -9x-2 when x =-4

Answers

Answer:

34

Step-by-step explanation:

So -9x is 36,36-2=34

Answer:

34

Step-by-step explanation:

-9(-4)-2

36-2

34

Relationship B has a greater rate than Relationship A. This graph represents Relationship A. Which equations could represent Relationship B? Select each correct answer.

Answers

Answer:

The answer is A. Sorry, i dont have enough time to support my answer. I am rushing sdjeuesjcvjs

What is the gcf of 51 and 3

Answers

Answer:

3

Step-by-step explanation:

Find the prime factors of each term in order to find the greatest common factor (GCF).

The factors of 51: 1, 3, 17 and 51.The factors of 3: 1,3

So the greatest number of both is 3

Hope this helps

chemical formula for lithium bromide

Answers

Answer:

The molecular or chemical formula of Lithium Bromide is LiBr. Lithium Monobromide is synthesized by treating lithium carbonate (Li2CO3) with hydrobromic acid (HBr). The salt forms cubic crystals which are similar to sodium chloride.

Step-by-step explanation:

hope this helped:)

Answer:

lithium bromide is a chemical compound of lithium and bromine

Step-by-step explanation:

Br-Li+

n(A)=10
n(B) = 12
n(AUB) = ?​

Answers

Answer:

n(AUB) = 33

Step-by-step explanation:

U is the 21'st letter of the alphabet so

9 + 1 + 2 + 21 =33

n(AUB) = 33

[BRAINLIEST] To manufacture an automobile requires​ painting, drying, and polishing. Epsilon Motor Company produces three types of​ cars, the​ Delta, the​ Beta, and the Sigma. Each Delta requires hours for​ painting, hours for​ drying, and hours for polishing. A Beta requires hours for​ painting, hours for​ drying, and hours for​ polishing, and a Sigma requires hours for​ painting, for​ drying, and for polishing. If the company has hours for​ painting, hours for​ drying, and hours for polishing per​ month, how many of each type of car are​ produced?

Answers

Answer:

The company manufactures 5 delta cars, 8 beta cars and 12 sigma cars.

Step-by-step explanation:

let in the motor company x number of delta cars, y number of beta cars and z number of sigma cars are manufactured.

from the condition given in the question we can write

9x + 13y + 9z = 257 ........ (1)

4x + 6y + 4z = 116 ........... (2) and    

3x + 4y + z = 59 ......... (3)

From equation (2) we get

9x + 13.5y + 9z = 261 ....... (4) {Multiplying with  both sides}

solving equations (1) and (4) we get

0.5y = 4

and ⇒ y = 8.

from equation (2) putting the value of y we get,  

4x + 4z = 116 - 48 = 68

⇒x + z = 17 .....(5)

Now, from equation (3) putting y = 8 we get,  

3x + z = 59 - 32 = 27 ....... (6)  

hence, solving equations (5) and (6) we get, 17 - x = 27 - 3x

⇒ 2x = 10

⇒ x = 5  

So, z = 17 - x = 12

therefore, the company manufactures 5 delta cars, 8 beta cars and 12 sigma cars.

Convert 21.3 feet per minute to yards per minute.

Answers

Answer:

7.1 yard per min

Step-by-step explanation:

There are 5 less oranges on the tree today than there was yesterday

Plz help

Answers

that’s all ? is there like no other explanation to make it understood better ?

The no. of apples on the tree today

= The no. of apples on the tree yesterday - 5

Let us take 'the no. of apples on the tree today' as 'x'

and 'the no. of apples on the tree today' as 'y'

Therefore, x = y - 5

Hope this is the thing u are looking for

Seth has game and education apps on his tablet. He noticed that he has 5 game apps for every 2 education apps. Which of the following is another way to write this ratio?

2:3
2:5
3:2
5:2
Question 4(Multiple Choice Worth 3 poi

Answers

Answer:

it would be 5:2

Step-by-step explanation:

none of these are equivalent to the ratio and 2:5 would be 2 to 5

Answer:

5:2

Step-by-step explanation:

if I burned 225 calories in 45 minutes how much will I burn in one minute

Answers

Answer:

5 calories per minute

Step-by-step explanation:

225÷45=5

20 pointsBRAINLEST!!!!!!!!!! and PointsAfter an​ accident, police can use the formula v=25L to estimate the​ speed, v, in miles per​ hour, that a car was traveling by measuring the length of the skid​ marks, L, in feet. Estimate the speed of a car that left skid marks 118 ft long. If the posted speed limit is 45 ​mi/h, was the car​ speeding? The speed of a car that left skid marks 118 ft long was about nothing ​mi/h.

Answers

The correct format of the question is

After an​ accident, police can use the formula [tex]v=2\sqrt{5L }[/tex] to estimate the​ speed, v, in miles per​ hour, that a car was traveling by measuring the length of the skid​ marks, L, in feet. Estimate the speed of a car that left skid marks 118 ft long. If the posted speed limit is 45 ​mi/h, was the car​ speeding? The speed of a car that left skid marks 118 ft long was about nothing ​mi/h.

Answer:

48.6mi/h, Yes the car was speeding.

Step-by-step explanation:

The speed of the car is given by  [tex]v=2\sqrt{5L }[/tex]

Skid length (L) = 118ft

V= [tex]2\sqrt{5*118}[/tex]

  = 2 [tex]\sqrt{590}[/tex]  

  =  2*24.3

V = 48.6mi/h

Since the speed limit is 45mi/h and the velocity of this driver is 48.6mi/h it is clear that was speeding by 3.6mi/h over speed limit.

you have 50$ and want to buy some shoes that cost $45. the tax rate for the shoes is 7%. do you have enough money to buy the shoes?

Please answer questions answer don't write a random word I will report and get banned from the site

Answers

Answer:

Yes, you have enought money

Step-by-step explanation:

45 times 107% (100 for the total cost and and 7 for the tax) is equal to 48.15. You have 50 dollars, therefore you can buy your shoes.

For each triangle, check all that apply.
PHOTO ABOVE
⚠️TEST

Answers

Answer:

Step-by-step explanation:

Triangle A - Equilateral triangle because all the angles are equal which means all the sides will be equal.

Triangle B - Isosceles Triangle because 2 sides are equal (we know this because 2 of the angles are equal)

Triangle C - Equilateral triangle because all the sides are equal.

Triangle D - Scalene triangle because all the sides have different lengths.

Andy is designing a dice tray in the shape of a rectangular prism to use during a role-playing game. The tray needs to be three centimeters high and have a volume of 252 cubic centimeters in order for the dice to roll properly. The length of the tray should be five centimeters longer than its width. The volume of a rectangular prism is found using the formula V = l · w · h, where l is the length, w is the width, and h is the height. Complete the equation that models the volume of the tray in terms of its width, x, in centimeters.

Answers

Answer:

Andy is designing a dice tray in the shape of a rectangular prism to use during a role-playing game. The tray needs to be three centimeters high and have a volume of 252 cubic centimeters in order for the dice to roll properly. The length of the tray should be five centimeters longer than its width.

The volume of a rectangular prism is found using the formula V = l · w · h, where l is the length, w is the width, and h is the height.

Complete the equation that models the volume of the tray in terms of its width, x, in centimeters.

3x2 + 15x = 252

Is it possible for the width of the tray to be 7.5 centimeters?

no it is too large

Step-by-step explanation:

An equation is formed when two equal expressions. The equation that models the volume of the tray in terms of its width, x, in centimeters is 3x² + 15x - 252 = 0.

What is an equation?

An equation is formed when two equal expressions are equated together with the help of an equal sign '='.

Let the width of the rectangular prism die be represented by x.

Given that the length of the tray should be five centimeters longer than its width. Therefore, the length and the width of the prism can be written as,

Width = x

Length = x + 5

Further, it is given that the volume of die is 252 cubic centimeters in order for the dice to roll properly. Also, the height of the prism is 3 centimeters. Therefore, the Volume can be written as,

Volume = Length × Width × Height

252 = (x + 5) × x × 3

252 = 3x(x+5)

252 = 3x² + 15x

3x² + 15x - 252 = 0

Hence, the equation that models the volume of the tray in terms of its width, x, in centimeters is 3x² + 15x - 252 = 0.

Learn more about Equation:

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Find the slope of the following graph and Identify the type of
Slope:

Answers

Answer:

undefined

Step-by-step explanation:

Horizontal lines have no slope. The line on the graph is vertical, so we can't really tell what slope it is. But there isn't any run and only rise, therefore the slope is "undefined."

Landon is building new bookshelves for his bookstore's new mystery section. Each shelf can hold 34 books. There are 1,265 mystery books. How many shelves will he need to build?

Answers

Answer:

37.2 = 38

Step-by-step explanation:

After divideing 1265 by 34, you will get 37.2. As you cannot have books not in bookshelves, you will have to round up and have 38 bookshelves.

What is the equation of this graphed line?
Enter your answer in slope-intercept form.


Please answer quickly, whoever answers correctly I will give Brainliest, thank you.

Answers

Slope: (y2-y1)/(x2-x1)
Points: (-4,-6), (2,6)
(6+6)/(2+6) = 12/8 = 3/2
Y = 3/2x +b
-6 = 3/2(-4) + b
-6 = -6 + b, b = 0
Equation: y = 3/2x
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