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 costs4,and each camper costs3. 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.
A. \begin{gathered}x + y \leqslant 200 \\ 4x + 3y \leqslant 750\end{gathered}x+y⩽2004x+3y⩽750​
B. \begin{gathered}x + y \leqslant 750 \\ 4x + 3y \leqslant 200\end{gathered}x+y⩽7504x+3y⩽200​
C. \begin{gathered}x + y \leqslant 200 \\ 3x + 4y \leqslant 750\end{gathered}x+y⩽2003x+4y⩽750​
D. \begin{gathered} x + y \leqslant 750 \\ 3x + 4y \leqslant 200\end{gathered}x+y⩽7503x+4y⩽200​

Answers

Answer 1

Answer:

Option A

The system of inequalities

x + y ≤ 200

4x + 3y ≤ 750

Step-by-step explanation:

Let the

Number of Adults = x

Number of campers = y

A summer camp cookout is planned for the campers and their families.

There is room for 200 people.

x + y ≤ 200

Each adult costs $4, and and each camper costs $3. There is a maximum budget of $750.

Maximum means the total cost is equal to or less than $750

$4 × x + $3 × y ≤ $750

4x + 3y ≤ 750

The system of inequalities

x + y ≤ 200

4x + 3y ≤ 750

Option A is correct


Related Questions

100 points! Help on 10 and I will mark brainliest

Answers

Answer:

Step-by-step explanation:

If each grid piece is 1 block, and there are going to there are 5 the 6*.05 = .3

the answer to your question is (If each grid piece is 1 block, and there are going to there are 5 the 6*.05 = .3)

Angle ABD is 90°.
36ο
B
What is the measure of ZABC?
Ο Α. 369
Ο Β. 549
Ο Ο Ο Ο Ο
Ο C. 90°
Ο D. 1269
Ο Ε. 144

Answers

Answer:

a

Step-by-step explanation:

368

Answer:

answer is 54. Since angleABD - angleCBD = angleABC

THEREFORE,. 90-36

What is the sum of 1.57 and 6.88?
7 tenths, 3 hundredths, and 5 thousandths
8 ones, 4 tenths, and 5 hundredths
5 ones, 4 tenths, and 8 hundredths
7 tenths, 4 hundredths, and 5 thousandths

Answers

Answer:

The answer would be B: 8 ones, 4 tenths, and 5 hundredths.

Explanation:

First, you would have to use the equation: 1.57 + 6.88 = ?

Do the math, and 1.57 + 6.88 = 8.45

Now look at the answer choices. You can automatically get rid of every answer choice but B because none of them have an 8 in the ones place.

need help asap!!!
What is the solution of the following system?


Use the substitution method.


{y+7=3x6x−2y=12



The only solution is (14, 12) .


The only solution is (12, 14) .


There is no solution.


There are an infinite number of solutions.

Answers

Answer:

there is no solution

Step-by-step explanation:

y + 7 = 3x

6x - 2y = 6    which can be simplied to be 3x - y = 6  (divide by 2)

let y = 3x - 7

substitute:  3x -(3x - 7) = 6

                  3x - 3x + 7 = 6

                              7 ≠ 6  therefore, no solution

Find the value of x.

Answers

Answer:

-5

Step-by-step explanation:

Distribute 4(x+6) = 4x+6

Since the angle are congruent to eachother set them equal to oneanother

4x+6 = 5x+11

Subtract 4x on both sides.

6 = x+11

Subtract 11 on both sides.

-5 = x

Hector is finding the volume of a cone and the volume of a cylinder. Both the cone and the cylinder have a radius of 3 inches and a height of 5 inches. What is the volume, in cubic inches, of the cone?

Answers

Answer:

the volume of the cone is

15in^3

Step-by-step explanation:

Step one:

parameters of the cone

radius r = 3 in

height h= 5 in

Step two:

the expression for the volume of the cone is

V= 1/3πr^2h

substitute

[tex]V= 1/3*3.142*3^2*5\\\\V=1/3*45\\\\V=15 in^3[/tex]

The radius of a circle is 1 foot. What is the area of a sector bounded by a 90 degree arc?

Answers

Answer:

The answer is 11/14 ft^2 or pi/4 ft^2

Step-by-step explanation:

The area of the sector bounded by that angle measure will be the area of the circle divided by 4

Area of the circle is;

pi * r^2

so the area here is;

22/7 * 1 * 1 = 22/7

divide this by 4

= 22/28 = 11/14 ft^2

Find the product of 5/6 and 42

Answers

Answer: Its 35 hope this helped

$7,600.00 is to be divided in the ratio 5:6:8 respectively for three siblings Joseph, Mike
and Aaron. Calculate how much money each sibling will get.

Answers

Answer:

I’ll take 7,6000 dollars

Step-by-step explanation:

Solve: (4hj)^0
A. 0
B. 4h^1j^1
C. 4
D. 1

Answers

Answer:

Any number powered to zero, the answer to the equation will be 1

Write an equation in slope-intercept form for the graph shown.

Answers

Answer:

y = -3x + 2

Step-by-step explanation:

b is your y intercept, where the line crosses the y axis

m is your slope, since the line is going down we know it is negative

the slope was -6/2, which simplifies to -3

find the distance between b and d

answer choices:
10.6 units
4.7 units
22 units
6.6 units​

Answers

Answer:

10.6 units

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Algebra I

Reading a Cartesian PlaneCoordinates (x, y)

Algebra II

Distance Formula: [tex]\displaystyle d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

Step-by-step explanation:

Step 1: Define

Find points from graph.

Point B(-3, -4)

Point D(6, -9)

Step 2: Find distance d

Simply plug in the 2 coordinates into the distance formula to find distance d

Substitute in points [DF]:                    [tex]\displaystyle d = \sqrt{(6+3)^2+(-9+4)^2}[/tex](Parenthesis) Add:                              [tex]\displaystyle d = \sqrt{(9)^2+(-5)^2}[/tex][√Radical] Exponents:                        [tex]\displaystyle d = \sqrt{81+25}[/tex][√Radical] Add:                                   [tex]\displaystyle d = \sqrt{106}[/tex][√Radical] Evaluate:                           [tex]\displaystyle d = 10.2956[/tex]Round:                                                [tex]\displaystyle d \approx 10.3[/tex]

All the answer choices are wrong. Closest answer is 10.6 units.

Answer:

Coordinate grids are pretty fun and easy, your answer is gonna be 22 units im pretty sure! Have not done them in a while, so I hope this is correct!

Ray cuts out a figure that has 4 equal sides and no right angles. What is the best name for the figure ?
A) trapezoid
B) Square
C) Rhombus
D) Rectangle

Answers

C. Rhombus

Because it has 8 sides

pt 2 pls help me with math

Answers

Answer:

Step-by-step explanation:

Slope = (6-3)/(2-1) =3

How many groups of ten are there in 230

Answers

Answer:

23

Step-by-step explanation:

230/10=23

since it got deleted last time -_-

simplify the expression so there is only one positive power for the base, -5.​

Answers

Answer: The answer is C

Answer:

the anwer is c ig

Step-by-step explanation:



Which of these equations is in slope intercept form?
O 2x + 4y = 24
O y-6 = -1/2(x-0)
O y=-1/2x+6
Y1-Y2/X1-X2

Answers

Answer:

[tex]y = \frac{1}{2} x + 6[/tex]

Step-by-step explanation:

Remmeber that the slope-intercept form is:

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

What is the value of 4(2f-3d)+2(2d+e)​

Answers

Answer:

−8d+8f+5.436564

Step-by-step explanation:

What is the rule for the reflection?

Answers

Answer:

abcdefghijklmnop

Step-by-step explanation:

qrstuvwxy and z

Answer:

y axis (X,Y) -> (-X,Y)

To get ready for school supply shopping, a store orders 25,000 folders. The store gets another shipment of 15,250 folders the day before the sale.The store sells 32,400 folders the first day. How many folders does it have left after the first day?

Answers

Answer:

7,850

I’m pretty sure that’s right, I just added 25,000 and 15,250 together then subtracted the answer from 32,400 and got 7,850

HELP PLEASE!! Identify the function shown in this graph. ​

Answers

the answer is d because the line is cutting thru the x axis on 1/3 and then the line cuts thru the y axis on -2 so the answer would be 1/3x-2

Answer:

A. y=3x-2

hope this help

PLZ I HAVE ANOTHER ONE HELP

Answers

Answer:

LORD SIMP

Step-by-step explanation:

Will mark brainliest

Solve each system by elimination. Show work for answer

4x+9y=5
-4x +7y=11

Answers

Answer:

adding both equations

4x+9y=5

-4x+7y=11

+ + =+

________

0 +16y=16

y=1

putting the value of y in first eqn

4x+9×1=5

4x=5-9

4x=-4

x=-1

so the x is -1 and y is 1

What is the equation of the line that is parallel
to the line 3x + 4y = 2 and passes through the point (4,-1)?

Answers

..........................i thought it was easier to upload the photo with the work

Solve for p.
21 + p = 44
Enter your answer in the box.
p=

Please help!

Answers

Answer:

p=23................

Answer:

p = 23

Step-by-step explanation:

based on the results, what is the experimental probability that the puppy will be named lemon or linus?

Answers

Answer:

Sorry

Step-by-step explanation:

I wish I knew

What is the slope line through 1,-1 and 6,2

Answers

Answer:

[tex]\huge\boxed{slope=\dfrac{3}{5}=0.6}[/tex]

Step-by-step explanation:

The formula of a slope:

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

We have the points (1, -1) and (6, 2).

Substitute:

[tex]m=\dfrac{2-(-1)}{6-1}=\dfrac{2+1}{5}=\dfrac{3}{5}=0.6[/tex]

Can someone help me?

Answers

Answer:

Purple -3 is the answer

Step-by-step explanation:

We start by opening the bracket

That would be;

x-x-3

= 0-3 = -3

So selecting the correct option, we can see that our answer is purple

A video game displays 88 frames in 4 seconds on Penelope's computer. What is the rate in frames per second?
A.
21 frames per second
B.
20 frames per second
C.
22 frames per second
D.
23 frames per second

Answers

Answer:

it's answer is C 22 frames per second

*WILL GIVE A BRAINIST*
GEOMETRY

Answers

I’m not really sure, but I think it is C. XY=7. If it’s wrong, I am terribly sorry.
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