Mathematics High School

Student Council is selling tickets to the Winter Dance. Tickets cost $5 per person or $8 per couple. To cover expenses, at least $1200 worth of tickets must be sold. No more than 500 students can fit in the gym where the dance is being held.


Let x = number of $5 tickets

Let y = number of $8 tickets

In rows 5 and 6, write a system of inequalities to represent this situation.

Answers

Answer 1

Answer:

5x + 8y ≥ 1200

x + 2y ≤ 500

Step-by-step explanation:

Let x = number of $5 tickets

Let y = number of $8 tickets

Worth of ticket that must be sold = at least $1200

No more than 500 students can fit in the gym

Ticket worth equation :

Cost * number of tickets ≥ 1200

5x + 8y ≥ 1200

Number of students :

Person = 1

Couple = 2

x + 2(y) ≤ 500

x + 2y ≤ 500

Related Questions

Please answer correctly !!!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!!!

Answers

For every 1 cat there are 4 dogs
For every one cat there’s four dogs because 44/11 is 4 and 11 is 1/4 of 44

An electrician charges an initial fee of $70.
Once at the house, she charges an additional fee at a rate of $37 per hour.
The total bill was $292 .
How many hours did she work?

Answers

Answer:

6 hours

Step-by-step explanation:

292-70=222

222/37=6

what is the least common denominator of the fractions 1/4 and 3/3

Answers

Answer:

the least common denominator is 12! hope this helps!

Help please and thank you(:

Answers

Answer:

A. True

B. True

C. True

D. False

E. True

F. False

Can someone help me real quick I'm lowkey confused

you purchased paint for the rooms in your home. you have 1.5 cans of paint left. you painted 4 rooms and each room required 2cans of paint.

you spilled 1/2 of a can of paint. how many cans of paint did you purchase?

a - solve the problem by working backward.

b - solve the equation x - 2 / 4 = 2 how does the amwer compare to part (a)?

Answers

Answer:

10

Step-by-step explanation:

So first it wants you to solve working backwards. This basically means to add up what you used and spilled, opposite of subtracting or using it. I will show that below.

a - You have 1.5 cans left. You painted 4 rooms, each needing 2 cans, making it 8 cans. Now you bought 9.5 cans. Then .5 of a can got spilled. So you bought 10 cans of paint.

Next is solving the equation. I'll explain below.

b - So simplify the equation, which will get x = 2.5. x represents the amount of paint used to paint each room. To represent the 4 rooms, multiply both sides by 4.

4x = 10. So, both b and a have the same answer, 10.

Use the integers that are closest to the number in the middle. -21

Answers

Answer:

-22 , -21 , -20

Step-by-step explanation:

-22 and -20 because they are right next to each other on the number line

Half the difference between two numbers is 2. The sum of the
greater number and twice the smaller number is 13. Find the
numbers.

Answers

Answer:

as below

Step-by-step explanation:

1st  the difference is 4  b/c half of 4 = 2

and

2*smaller +greater = 13

so check out small number that are 4 apart.. like 2 and 6

2(2)+6 =10

2(3) +7 = 13  aahh hah..  that's it

3 and 7 are the numbers being hunted :P

Help pls!
solve for x

Answers

Answer:

X= -z+m

Hope it works!

Step-by-step explanation:

ANSWER FAST


Identify the exterior angles for the triangle shown. Sort
the angles as examples and non-examples of exterior
angles.



Answers

Answer:

exterior angles 1 and 3 I hope it will help you please follow me

Answer:

Examples-  1, 3

Non Examples- 2, 4

Answers from edge hope you all have a good have! :)

A fair charges $11 to enter and $0.50 per ticket. Write an algebraic expression to represent the total amount spent.

Answers

The required algebraic expression is 11+0.50x which represents the total amount spent.

What is the algebraic expression?

Algebraic expressions are mathematical statements with a minimum of two terms containing variables or numbers. Unknown variables, numbers, and arithmetic operators make up an algebraic expression. It contains no equality or inequality symbols.

We have been given that the fair charges are $11 to enter and $0.50 per ticket.

Let's assume variable "x" represents the cost per ticket.

According to the given situation, we can write the algebraic expression would be as:

⇒ 11 + 0.50x

Here $11 indicates the entrance charge.

Therefore, the required algebraic expression is 11+0.50x which represents the total amount spent.

Learn more about the algebraic expression here :

brainly.com/question/21751419

#SPJ2

You roll a fair six-sided die twice. The first roll shows a five and the second roll shows a six.

Answers

Answer:

2/7

Step-by-step explanation:

MATH PLS HELPP BRAINLIEST U KNO

Answers

Answer:

Slope is X

Y-intercept is B

Given f(x) =x-3, what would be the new equation for c(x) = f(x)+2

Answers

Answer:

The new equation for c(x) is c(x) = x - 1

Step-by-step explanation:

We are given the function:

f(x) = x - 3

c(x) = f(x) + 2

Substituting f(x):

c(x) = x - 3 + 2

Simplifying:

c(x) = x - 1

The new equation for c(x) is c(x) = x - 1

In the right triangle, the altitude is 5 units and the longest segment of the hypotenuse of 7 units. Find the length of the hypotenuse.

Answers

Answer:

hypontenuse = 8.6 units

Step-by-step explanation:

Let the hypontenuse be x .

According to Pythagoras Theorem ,

=> base² + perpendicular ²= hypontenuse ²

=> h² = 5² + 7²

=> h² = 25 + 49

=> h² = 74

=> h = 8.6

how can you use the pythagreom therem to solve real-world problem

Answers

Answer:

This application is frequently used in architecture, woodworking, or other physical construction projects. For instance, say you are building a sloped roof. If you know the height of the roof and the length for it to cover, you can use the Pythagorean Theorem to find the diagonal length of the roof's slope.

Answer:

Architecture, Engineering, Astronomy, etc.

Step-by-step explanation:

Engineers use the Pythagorean Theorem by knowing the height of the roof and the length for it to cover, and it will result in the diagonal length of the roof's slope.  Architects use the Pythagorean Theorem to calculate the heights of buildings and the lengths of walls. Astronomers sometimes use the theorem to calculate the paths of spacecraft, including rockets and satellites.

Mark is vacationing out West. He wants to determine the height of a giant saguaro cactus. He stands 90 ft from the cactus so the tip of his shadow meets the tip of the cactus' shadow. If Mark is 6 ft tall and his shadow, s, is 7.0 ft long, what is the height, h, of the cactus? Round your answer to the nearest tenth of a foot if necessary.

Answers

Answer:

The height of cactus is 83.1 feet.

Step-by-step explanation:

Let the height of the cactus be represented by h. Given that the shadows of cactus and Mark meets at the same tip.

Then,

the distance from the cactus to the tip of its shadow = 90 ft + s

                                        = 90 ft + 7 ft

                                        = 97 feet

Thus comparing the two triangles, we have;

[tex]\frac{h}{6}[/tex] = [tex]\frac{97}{s}[/tex]

[tex]\frac{h}{6}[/tex] = [tex]\frac{97}{7}[/tex]

7 x h = 97 x 6

7h = 582

h = [tex]\frac{582}{7}[/tex]

  = 83.1429

h = 83.1 feet

The height, h, of the cactus is 83.1 feet.

Please help thank you. If you don’t know, don’t answer.

Answers

Answer: 1!

Step-by-step explanation: the x coordinate is 1. The first positive one.

If two angles are supplementary and one of the angles measures 62°, what is the measure of the other angle?

Answers

Answer:118 for the other angle

Step-by-step explanation:trust me bro

Given that a triangle equals 180 we can subtract 62 from that. After that we will get the answer 118 we want to divide this by 2 because the remaining sides are supplementary this gives us the answer of “59”

Destiny draws a circle with a that is radius 14 centimeters. What is the circumference?

Answers

Answer:

87.96 centimeters.

Step-by-step explanation:

Circumference = 2pi r

2 x pi x 14

= 87.96

Answer: 87.96

Step-by-step explanation:

Hope that’s right

x= 5y + 7
2x + 4y = 0
Solve for substitution

Answers

Answer:

x=2 and y= -1

Step-by-step explanation:

substitute x value in equation 2

2(5y+7)+4y=0

10y+14+4y=0

14y = -14

y= -1

here,

x= 5(-1)+7

x= -5+7

x=2

Point slope form: (2,-1)
Equation form: x=2 , y=-1


Solve for the first variable in one of the equations then substitute the result into the other equation.

Please help me with this problem!!

Answers

Answer:

the longest side is AB

Step-by-step explanation:

The longest side is BC. Sum of angles is 180 and the longest side will face the biggest angle. Once you determine your last angle you will realize that the biggest angle is the 70 degrees and therefore segment BC is the longest.

what is the value of the fraction of -3/4 divided 2/5

Answers

Answer: 2/5 ÷ 2 = 2/10 as simplified as 1/5 in fraction form. 2/5 ÷ 2 = 0.2 in decimal form.

somebody please help me thansk

Answers

Answer:

y=-2x-1

Step-by-step explanation:

Y=1x-1
You have to check the distance the points are apart from eachother

Solve the following systems of inequalities and select the correct graph: 2x-y>4 x+y< -1
In each graph, the area for f(x) is shaded and labeled A, the area for g(x) is shaded and labeled B, and the area where they have shading in common is labeled AB.

Answers

Answer:

Step-by-step explanation:

2x - y > 4 ⇒ y < 2x - 4

x + y < - 1 ⇒ y < - x - 1

Answer:

option D or Graph D

Step-by-step explanation:

Help giving brainliest to first answer!!

Answers

Answer: It's C. The third one.

Step-by-step explanation:

HOPE THIS HELPS!!!! : )

I need help with this ​

Answers

I think it is 50 degrees.
I could possibly be wrong

.Which sum must always equal 0? fast pls

Answers

0+0=0 in addition the only way to get the sum 0 is adding it to itself

A b c or d for Brainiest answer

Answers

B because this equation cancels out the y variable, so you can solve for x

4 movie tickets cost $35=?

Answers

Answer:

Each ticket is $8.75

Step-by-step explanation:

Answer:

A ticket costs $8.75 each.

Step-by-step explanation:

Plzzz mark brainiest because im at war.

what weighs more 3.2 kilograms or 9 pounds

Answers

9 pounds because 3.2 kilograms is 7.055 pounds

Answer:

9 pounds

Step-by-step explanation:

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