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

What is (-4/7) - (-10/7)=?

Answers

Answer: 6/7

Step-by-step explanation:  

Answer:

0.85714285714 rounded to 0.86

Step-by-step explanation:

(-4/7) = -0.57<- rounded up

(-10/7)=-1.43<-rounded up

0.57- -1.43=0.86

Okie help plzzzzz I need it

Answers

Answer:

the answer is 4.5 but you cannot plant 4 and a half seeds. so the answer would be 3.

Step-by-step explanation:

Answer:

3x + 9

Step-by-step explanation:

You basically want the total amount of seeds so if he plants x in one garden and 2x + 9 in another, you add them both

x + 2x + 9

Equals 3x + 9

Rewrite the equation 6x – 9y = 12 in terms of y.

Answers

Answer:

Step-by-step explanation:

6x - 9y = 12

subtract 6x from both sides

-9y = 12 - 6x

divide both sides by -9

y = -4/3 + 2/3x

or

y = 2/3x - 4/3

The equation 6x – 9y = 12 written in terms of y is; y = (2/3)x - 4/3

We are required to write the equation 6x – 9y = 12 in terms of y.

Rewriting the equation 6x – 9y = 12 in terms of y is as follows;

6x – 9y = 12

6x - 12 = 9y

Divide through by 9 so that we have;

y = (2/3)x - 4/3

Read More on Change of formula subject:

https://brainly.com/question/9584546

1. 2x + 5 = 9
2. 9 + 3x = 18
3. 2x - 16 54
4. 2(x + 1) = 8
5. 4m-316
(pls help me to answer this)​

Answers

Answer:

1. 2

2. 3

3. 35

4. 3

5. m=79

1. 2(2) + 5 = 9
2. 9 + 3(3) = 18
3. 2(35) - 16= 54
4. 2(3+ 1) = 8
5. Actually, number 5 doesn’t provide an answer to solve for.

Glad I could help and also, can you please mark my answer as the brainliest answer?
Thank you so much!

Melanie works at a frozen yogurt stand after school. The stand sells fruit and yogurt smoothies for $3.00 each and soft-serve cones for $2.00 each. On a hot summer day, the stand sold 12 more smoothies than soft-serve cones for total sales of $206. Which of the following systems of equations could be used to find s
s
, the number of smoothies, and c
c
, the number of cones the shop sold that day?

Answers

Answer:

3s+2c=206

s=c+12

Step-by-step explanation:

3.00(smothies,s) + 2.00(cones,c) = $206 (total)

s,smoothies = c,cones + 12

plzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz

Answers

Answer:

Expanded: 4x^2+20x+25

When simplified it changes back, (2x+5)^2

Step-by-step explanation:

Answer:

4x² + 20x + 25

Step-by-step explanation:

Given

(2x + 5)²

= (2x + 5)(2x + 5)

Each term in the second factor is multiplied by each term in the first factor, that is

2x(2x + 5) + 5(2x + 5) ← distribute both parenthesis

= 4x² + 10x + 10x + 25 ← collect like terms

= 4x² + 20x + 25

By rounding each of 9.85, 3.875 and 6.3 to the nearest whole number work out an estimate for the answer to 9.85^3 / 3.875 + 6.3^2

Answers

Answer:

286.

Step-by-step explanation:

9.85^3 /3.875 + 6.3^2

= 10^3/ 4 + 6^2

= 1000/4 + 36

=250 + 36

=286.

help please this has to be done ​

Answers

Answer:

100

Step-by-step explanation:

a triangle is 180, so 180-58-22 is your answer

What dvision problem can be represented using the number line?
A) 10/3 divided by 5/3. B) 5/3 divided by 10/3. C)2 divided by 5/3. D)2 divided by 10/3

Answers

Answer:

C

Step-by-step explanation:

Solve for x. Enter the solutions from least to greatest.
(x+15)^2-10=0

Answers

Answer:

lesser x = -1.84lesser x = -8.16

Step-by-step explanation:

Given the expression

[tex]\left(x+5\right)^2-10=0[/tex]

Add 10 to both sides

[tex]\left(x+5\right)^2-10+10=0+10[/tex]

Simplify

[tex]\left(x+5\right)^2=10[/tex]

[tex]\mathrm{For\:}\left(g\left(x\right)\right)^2=f\left(a\right)\mathrm{\:the\:solutions\:are\:}g\left(x\right)=\sqrt{f\left(a\right)},\:\:-\sqrt{f\left(a\right)}[/tex]

solve

[tex]x+5=\sqrt{10}[/tex]

Subtract 5 from both sides

[tex]x+5-5=\sqrt{10}-5[/tex]

[tex]x=\sqrt{10}-5[/tex]

[tex]x=-1.8[/tex]

so

[tex]x+5=-\sqrt{10}[/tex]

Subtract 5 from both sides

[tex]x+5-5=-\sqrt{10}-5[/tex]

Simplify

[tex]x=-\sqrt{10}-5[/tex]

[tex]\:x=-8.2[/tex]

As -1.84 > -8.16

so

lesser x = -1.84lesser x = -8.16

50 points !!!!!!!!!!!!!! answer the question please help
I will give bairnleast

Answers

[tex]\boxed{\large{\bold{\textbf{\textsf{{\color{blue}{Answer}}}}}}:)}[/tex]

Shape and pattern are the element of art and principal of designdid the artist manipulated to create texture on this scripture.

Answer:

Shape and pattern {final answer}

Step-by-step explanation:

The element of art and principal of design did the artist manipulate to create texture on this sculpture is shape and pattern. This option best suits for most of the sculptures. Therefore, the last option is the required answer.

Зу – х = -5
-7х + 4 = –18
Solve each system of equation using elimination

Answers

Answer:

(1)xy=-5-3

-8ans

Step-by-step explanation:

(2) -3x =-18

-15ans

Rationalize the denominator and simplify. √a+1 - 2 / √a+1 + 2

Answers

Answer:

5+a-4√a+1 / a-3

The rationalization of given expression is a+5-4√(a+1)/(a+5).

What is Rationalization?

Rationalization can be considered as the process used to eliminate a radical or an imaginary number from the denominator of an algebraic fraction. That is, remove the radicals in a fraction so that the denominator only contains a rational number.

The given expression is √(a+1)-2/√(a+1)+2.

Multiply both numerator and denominator by (a+1)-2, we get

√(a+1)-2×(a+1)-2/√(a+1)+2×(a+1)-2

= (√(a+1)-2)²/(√(a+1))²+2²

= (√(a+1))²-2×√(a+1)×2+2²/a+1+4

= a+1-4√(a+1)+4/(a+5)

= a+5-4√(a+1)/(a+5)

Therefore, the rationalization of given expression is a+5-4√(a+1)/(a+5).

Learn more about the rationalization here:

https://brainly.com/question/1980047.

#SPJ2

How can you write the equation for a linear function if you know only two ordered pairs for the function? Drag tiles tho complete the explanation. Tiles may be used once, more than once, or not at all.

Answers

Answer:

Explanation below

Step-by-step explanation:

First determine the slope using (y2-y1)/(x2-x1)

Then set up point slope form and add in an ordered pair for x and y to determine the y intercept: y - y1 = m(x - x1). Solve for y and you'll end up with slope intercept form.

For example: (-2,1), (3,2) find slope and y intercept.

(2-1)/(3-(-2))= 1/5

y-2=.2(x-3)

y=.2x-.6+2

y=.2x+1.4 or y=(x/5)+(7/5)

Given f(x) = -2 and g(x) = 5x - 6, find h(x) = f(x) ⋅ g(x)

h(x) = _____ x _____ _____

Answers

Answer:

10x+12 is the answer in my calculation.

6 ft
x ft
8 ft
12 ft

Answers

Answer:

576?

Step-by-step explanation:

I think...

The mean length of 10 childrens' big finger is 8.1cm.
The mean length of 11 adults' big finger is 14.1cm.
What is the mean length (rounded to 2 DP) of these 21 people's big finger?​

Answers

Answer:

The mean length of 10 children's big finger is 8.1 cm

Average length of all the 10 children's finger is (8.1×10) cm = 81 cm.

The mean length of 11 adult's big finger is 14.1 cm

Average length of all the 11 adult's big finger is (14.1×11) cm =155.1

Mean length of these 21 people's big finger is[tex] \frac{(81 + 155.1)}{21} = 11.242857[/tex]Hence, 11.24 is the right answer.

Jose was playing a basketball shooting game in the arcade. He made 15 shots and missed 25 shots. What is the percentage of shots Jose made in the basketball game?

help pls :(

Answers

Answer:

37.5/38(rounded)

Step-by-step explanation:

Answer:

37.5%

Step-by-step explanation:

15 + 25 = 40

15/40 = 37.5%

15

40      x 100% = 37.5%

Sorry if wrong! Plz mark brainiest if correct :D Have a great day Luv!

-Bee

-7 2/3+ (-5 1/2) + 8 3/4
=

Answers

Answer:

-4 5/12

Step-by-step explanation:

Answer:

Step-by-step explanation:

-4.41666666667

8. Over a period of 3 hours, the outside temperature changed an average of -2.25 Fahrenheit per hour. Which statement correctly describes the change in the temperature from the beginning to the end of the 3 hour period?


a. The temperature decreased by 0.75 degrees Fahrenheit.

a. The temperature decreased by 0.75 degrees Fahrenheit.


b. The temperature increased by 0.75 degrees Fahrenheit.

b. The temperature increased by 0.75 degrees Fahrenheit.


c. The temperature decreased by 6.75 degrees Fahrenheit.

c. The temperature decreased by 6.75 degrees Fahrenheit.


d. The temperature increased by 6.75 degrees Fahrenheit.

Answers

Answer:

c

Step-by-step explanation:

-2.25*3 = 6.75 decreased (since negative)

Find two consecutive even integers such that the sum of the smaller and 3 times the larger is 330
I am so stuck please any one help

Answers

Answer:

The 2 numbers = 81 and 83

Step-by-step explanation:

As, one number = x

The other, because it's an even number and consecutive = x + 2

So the larger numbef here is x + 2

And they are saying 3 times x + 2 plus x = 330

So let's solve!

3 times x + 2 = 3(x+2) = 3x + 6

So we will add it to x = (3x + 6) +(x) = 4x + 6

So they are saying the sum of them will be 330

So, 4x + 6 = 330

4x = 330 - 6

4x = 324

x = 324/4

x = 81

So x is the first number = 81

And the second is x + 2 = 81 + 2 = 83

So the 2 numbers are 81, 83

Lets check!

3 times the bigger number = 83 x 3 = 249

We will add it to 81 and we will get 330

So, 249 + 81 = 330

So the answer is right

im confused right now.

Answers

Answer:

x = -45

Step-by-step explanation:

what the answer 68 ÷4​

Answers

Answer:

17

Step-by-step explanation:

Answer:

17 ;-; cant you use a ? calculator?

Step-by-step explanation:

Ms. Speer's spent a total of $120 while online shopping . Out of the total, $84 was spent just on Amazon. The rest was spent on apple. Write and equation to determine how much Ms. Speer spent at Apple. Write your equation below and determine how much she spent at Apple.

Answers

Answer:

a + 84 = 120

Step-by-step explanation:

Let a = how much $ was spent on Apple

a + 84 = 120

a = 36

How do I do this please help me

Answers

Answer: I think it might be (0,8)

Step-by-step explanation:

Help please ill give brainliest

Answers

Answer:

Red line is y=0.8x

Blue line is y=0.8x-3.2

Step-by-step explanation:

ago
7
.
15
6
7
10. Which of the following could be the
perimeters of the three squares below?
A. 12 ft, 16 ft and 20 ft
B. 20 ft, 16 ft and 24 ft
C. 40 ft, 80 ft and 120 ft
D. 16 f1, 24 ft and 28 ft
Maneuvering the Middle LLC, 2017

Answers

Answer:

where are the squares?

Step-by-step explanation:

What’s the solution for x- 5 =5

Answers

Answer:

x=10

Step-by-step explanation:

10-5=5

Answer:

x= 10

Step-by-step explanation:

x-5 =5

x= 5+5

x= 10

zz

I will mark brainlist for this.

Answers

Answer:

Student B

Step-by-step explanation:

Proportional relationship means that it follows a certain pattern or is constant.

Student B was the only relationship to be constant as it goes by multiples of 6.

Ex. 6, 12, 18, 24, 30.

Answer:

Student B

Step-by-step explanation:

Student B's wages increase by 6 each time, but Students A, C, and D do not steadily increase. The steady increase of 6 for Student B is what makes their wages proportional.

first to answer right gits brianlies
To evaluate a variable expression, you must__values for the variable, and then calculate the result.

Answers

Answer:

find is the Answer

Step-by-step explanation:

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