A summer camp cookout is planned for the campers and their families. There is room for 200 people. Each adult costs $4, and each camper costs $3. There is a maximum budget of $750. Write the system of inequalities to represent this real-world scenario, where x is the number of adults and y is the number of campers. x + y ≤ 200 4x + 3y ≤ 750 x + y ≤ 750 4x + 3y ≤ 200 x + y ≤ 200 3x + 4y ≤ 750 x + y ≤ 750 3x + 4y ≤ 200

Answers

Answer 1

Answer:

I think its A

Step-by-step explanation:

Answer 2

The required system of inequalities is x + y ≤ 200 and 4x + 3y ≤ 750. Hence, the first option is the correct choice.

What is inequality?

Inequality is a non-equal relation between two expressions involving variables and constants.

The sign of the inequality can be, less than (<), greater than (>), less than or equal to (≤), or greater than or equal to (≥).

How to solve the question?

In the question, we are asked to write the system of inequalities to represent the given scenario,  where x is the number of adults and y is the number of campers.

We are informed that there is a room for 200 people.

Thus, the total number of people, that is, the number of adults + the number of campers, or, x + y should be less than or equal to 200.

This gives us an inequality:

x + y ≤ 200.

We are informed that the cost of an adult is $4 and the cost for a camper is $3, and the total budget is $750.

Thus, the total cost, that is, the cost of all adults + the cost of all campers, or, 4x + 3y should be less than or equal to 750.

This gives us an inequality:

4x + 3y ≤ 750.

Thus, the required system of inequalities is x + y ≤ 200 and 4x + 3y ≤ 750. Hence, the first option is the correct choice.

Learn more about writing inequalities at

https://brainly.com/question/27485614

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Related Questions

The Wing Station wants the average price of the lunch meal deals to be $8.

What does the price of the chicken wings need to be for this to happen?

Answers

Step-by-step explanation:

To calculate the mean, we do the the total divided by the number of values. With 6 values, for the average to be 8, the total needs to be 48. The current total is 41, so Chicken Wings needs to be 7, because 48-41=7

The chicken wings need to be 7 dollars

Simplify the following expression 4(x−8)−7x + 3 (in a test)

Answers

Answer:

-3x - 29

Step-by-step explanation:

Just a tip. if you have questions like this one use math.way it will help you tremendously !

Hope this helps you :)

Have an amazing day <3

How can I improve my skills in math?

Answers

Answer:

You can practice a lot and reliable resources to help get answers.

Step-by-step explanation:

a couple of sites to practice on is IXL, khan academy, and aleks. hope this helps. :)

Answer: pay attention to class

HELP PLS ASAPP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:- 11/32

Step-by-step explanation:

4 /18 divided by 12 is 0.34375. If you make that a fraction it's -11/32.

Answer:

-33/8

Step-by-step explanation:

You make 4 1/8 a mixed number and it becomes 33/8 and you add a negative.

Jerome's sister told him to multiply both the amount of water and the amount of drink
mix by the same number to keep the ratio of water to drink mix the same and still
increase the total amount of energy drink.
Complete the table below.
Original
Ratio

Answers

Answer:

×1 = 3 : 8.

×2 = 6 : 16

×3 = 9 : 24

×4 = 12 : 32

Step-by-step explanation:

Answer:

the answer is below

Explanation:

Explain how to the problem with the model. I do not want any unexplained answer I will report them!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

answer**** 21

reasoning:

21 •13=273
vise versa

i need some help again

Answers

A = small box of oranges

B = large box of oranges

3A + 14B = 203

11A + 11B = 220

Take the second equation and divide it by 11 as both A and B have the same coefficient, which will equal:

[tex]\frac{11A+11B}{11}[/tex] = A + B

220 will also have to be divided by 11, giving you 20

A + B = 20

You can cancel out 3A in the first equation by subtracting 3A + 3B = 60 from it.

11B = 143

143/11 = 13

B (large box of oranges) costs $13.

Substitute 13 for B back into one of our equations, in this case 3A + 3B = 60

3A + 3*13 = 60

3A + 39 = 60

3A = 21

A = 7

Thus:

A small box of oranges costs $7, and a large box of oranges costs $13.

Hope this helped! (please brainliest)

Sophie read a total of 4 books in 2 months. Then, she read 10 books in 5 months. What is the constant of proportionality?

Answers

Answer:

The COP is 2.

Step-by-step explanation:

Do 4 divided 2 which is 2 and then do 10 divided by 5 to also get 2.

The constant of proportionality is 2.
This is because 4 divided 2 is 2 and 10 divided by 5 is also 2

Which ordered pair would form a proportional relationship with the point graphed below?

Answers

Answer:

-10, 20 because -20, 40 divided by 2 = -10, 20

The ordered pair that would form a proportional relationship with the point (-20, 40) is given as follows:

(15, -30).

What is a proportional relationship?

A proportional relationship is a relationship in which a constant ratio between the output variable and the input variable exists.

The equation that defines the proportional relationship is a linear function with slope k and intercept zero presented as follows:

y = kx.

The slope k is the constant of proportionality, representing the increase or decrease in the output variable y when the constant variable x is increased by one.

The constant for this problem is given as follows:

k = 40/-20

k = -2.

Hence the equation is:

y = -2x.

When x = 15, the numeric value of the equation is given as follows:

y = -2(15)

y = -30.

Hence the point is:

(15, -30).

A similar problem, also featuring proportional relationships, is presented at https://brainly.com/question/7723640

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evaluate m+n/6 , when m= -3 and n=18

Answers

Answer:0

Step-by-step explanation:

-3 + 18 divided by 6

3-(-3)=0

A business owner receives a 5000 loan with 13% interest, charged at the end of each year​

after 1 years

after 2 years

after 3 years

Answers

After 2 years because

Answer: there are peace's missing out of the question but if I had to guess its 1 year

Step-by-step explanation:

what is the value of 2/3(x -6) -y , when x= 9 and y=5/6?

Answers

Answer:

A

Step-by-step explanation:

[tex]\frac{7}{6}[/tex]

Determine the number of solutions in this equation:
5x + 3 - 3x = 2 ( x + 3 ) - 5

Answers

Answer:

No solutions

Step-by-step explanation:

2x+3=2x+6-5

2x+3=2x+1

The two x's cancel out, so you get

3=1

Subtract 3 from each side to get

0=-2

So the answer is no solutions

Which number line shows the solution set for StartAbsoluteValue 2 p minus 4 EndAbsoluteValue greater-than-or-equal-to 6?
A number line going from negative 6 to positive 6. Closed circles are at negative 5 and positive 5. Everything between the points is shaded.
A number line going from negative 1 to positive 8. Closed circles are at negative 1 and positive 5. Everything to the left of negative 1 and to the right of positive 5 is shaded.
A number line going from negative 6 to positive 6. Closed circles are at negative 5 and positive 5. Everything to the left of negative 5 and to the right of positive 5 is shaded.
A number line going from negative 1 to positive 8. Closed circles are at negative 1 and positive 5. Everything between the points is shaded.

Answers

Answer:

can u add a picture?

Step-by-step explanation:

Select the locations on the number line to plot the points 2, 1, and −4 .

Answers

Answer:

-5-4-3-2-1 0 1 2 3 4 5

Step-by-step explanation:

Step-by-step explanation:

look at the picture

hope it helps you.

Which equation has a solution of s = 3/4?

Answers

Answer: 4-3+56-1/2 there for you have your Brainly answer

Given the equation y = 3x − 4, what is the value of y when x = 4
A)2
B)4
C)8
D)10

Answers

Answer:

C)8

Step-by-step explanation:

Plug in 4 for x and then solve

Awnser is C or 8, if you put 4x3=12 - 4 it = 8

I need help ill give brainliest (Only if answer is correct)
8,121 ÷ 8 =
R

Answers

Answer:

1015.125

............................

Answer: 1015.125

Step-by-step explanation:

Answer 3-12 please, thank you!

Answers

The answer is nine, 9 + 3 = ( equals ) 12 so weather subtract, or adding, you will get the same answer <3

Brandon buys a radio for $48.81 in a state where the sales tax is 7%.
can someone pls help?

Answers

Answer:

$48.81 x 0.07 = 3.4167

$48.81 + $3.4167 = $52.2267

$52.23

Step-by-step explanation:

The shirt cost $48.81, and the sales tax is 7%. First convert the 7% into a decimal and you get 0.07, and then multiply that to the $48.81. You get left with $3.4167 and then add that to the $48.81 to get $52.2267. But, you have to shorten the numbers to make it look like money by simplifing. So the total is $52.23.

Answer:52.17

Step-by-step explanation: You go to your calculator and type 7% × 48.81

Find the range of allowable values based on the given information. Round to the nearest tenth.

44 can vary by 4.2%

Enter the correct answers in the boxes.

Answers

Answer:

24×3.5%=0.84 so round to nearest tenth is 0.9.

Step-by-step explanation:

HELP PLEASE I CAN'T UNDERSTAND I WILL GIVE YOU BRAINLIEST PLEASE HELP

Answers

Answer:

a. 1/27 b.3 1/2

Step-by-step explanation:

a.1/3*1/3*1/3=1/(3^3)=1/27

b.2 1/3*1 1/2*1= 3 1/2

Answer:

a.1/3*1/3*1/3=1/(3^3)=1/27b.2 1/3*1 1/2*1= 3 1/2

Step-by-step explanation:

PLEASE HELP ILL GIVE BRAINLY THIS IS TIMED!

Answers

Answer:

For the first one 6x+7=6x+7 there are infinte solutions while 3(2x+10)=6x−2

there are none

Step-by-step explanation:

Hope i helped ;)

Answer:

#1: infinite

#2: none

Step-by-step explanation:

HELP PLEASE WILL BE MARKED BRAINLIEST

Invent a new term for "dwarf planets" and explain why the term is appropriate.

Answers

Answer:

Eris

Step-by-step explanation:

The new term for dwarf planets will be called Eris, after the Greek goddess of discord. Eris's moon is named Dysnomia, the demon goddess of lawlessness and the daughter of Eris.  It is appropriate because the object had been an planet for so long, it deserved a name from Greek or Roman mythology, like other planets.

Answer:

Mini Planets

Step-by-step explanation:

If dwarf planets are small so are mini stuff thats why the term is appropriate.

PLEASE PLEASE HELP PLEASE LOOK AT THE QUESTION PLZZZZZZZZ

Answers

Answer:

212 °C

Step-by-step explanation:

divide 9 by 5, then multiply that by 100, then add 32 to that.

9 divided by 5 is 1.8 x 10 = 180 + 32 = 212

Hope this helped!!

What is the value of 3x + 2y – x when x = -1 and y = 5?

Answers

Answer:

8

Step-by-step explanation:

3x + 2y -x

3*-1 + 2*5

-3+10-(-1)

7 +1 = 8

Hello! (:

3(-1)+2(5)-(-1)

-3+10+1

-3+11

8

Hope it helps!

[tex]SparklingFlower[/tex]

Calculate the area and circumference of each circle.

Answers

circle 1 area≈ 2.01 yd
circle 1 circumference≈ 5.024 yd
circle 2 area≈ 2.54 yd
circle 2 circumference≈ 5.652 yd

Which equation has a solution of s = 3/4?

Answers

Answer:

the answer is that you have to follow these rules.

Step-by-step explanation:

1. Simplify each side of the equation by removing parentheses and combining like terms.

2. Use addition or subtraction to isolate the variable term on one side of the equation.

last but not least

3. Use multiplication or division to solve for the variable.

(4,-3) hope it helps

Anthony is building a cube-shaped box to store some of his smaller crafting supplies. The formula for the surface area of a cube is SA=6s2, where s is the side length of the cube. If he has a total of 200 in.2 of cardboard, can Anthony build a box where s=6 in.?

No, he needs 16 in.2 more cardboard.

No, he needs 232 in.2 more cardboard.

Yes, he will have 56 in.2 of cardboard left over.

Yes, he will have 128 in.2 of cardboard left over

Answers

Answer:

No, he needs 16 inches^2 more cardboard.

Step-by-step explanation:

Take the formula and substitute values into it. 6 * 6^2

Do the exponent first to get 6 * 36, and then complete that to get 216. Since he has 200 inches of cardboard and he would need 216, that means he would need 16 more square inches to make his cube.

No he needs 16 in 2 more cardboard

I NEED HELP PLZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZ I WILL MARK BRAINLEST

Answers

Answer:

EQUAL TO

Step-by-step explanation:

Equal to would be the answer

Explanation: When plugging in numbers and matching the graph with an equation you get that answer therefor the equation is equal to it

Hope I helped! (Would appreciate Brainliest) :)
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