answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Sladkaya [172]
2 years ago
5

A summer camp cookout is planned for the campers and their families. There is room for 525 people. Each adult costs $9, and each

camper costs $5. There is a maximum budget of $1,200. 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
x + y ≤ 525
5x + 9y ≤ 1,200
B
x + y ≤ 1,200
5x + 9y ≤ 525
C
x + y ≤ 525
9x + 5y ≤ 1,200
C
x + y ≤ 1,200
9x + 5y ≤ 525
Need help ASAP.
Mathematics
1 answer:
zaharov [31]2 years ago
6 0

x+y≤525 and 9x+5y≤1200 represents the scenario.

Step-by-step explanation:

Given,

Room for people at summer camp = 525 people

Maximum budget = $1200

Cost per adult = $9

Cost per camper = $5

It means that there cannot be spent more than $1200.

x represents the number of adults.

y represents the number of campers.

x+y≤525      

9x+5y≤1200

x+y≤525 and 9x+5y≤1200 represents the scenario.

Keywords: inequality, budget

Learn more about inequalities at:

  • brainly.com/question/1517760
  • brainly.com/question/1522572

#LearnwithBrainly

You might be interested in
While Brendan is vacationing with his family at the cabin, they take a motorboat on the river. The motorboat travels
taurus [48]

Part 1: The speed of the boat traveling downstream is (18+w) miles per hr.

The speed of the boat traveling upstream is (18-w) miles per hr.

Part 2: The speed of the current is 4 miles per hour.

Explanation:

Part (1): The motorboat travels 18 miles per hour in still.

Let w represents the speed of the current.

When the boat travels downstream, the speed of the current will get added to the speed of the boat.

Thus, the expression can be written as (18+w) miles per hr

Hence, the speed of the boat traveling downstream is (18+w) miles per hr.

When the boat travels upstream, the speed of the current will get subtracted to the speed of the boat.

Thus, the expression can be written as (18-w) miles per hr.

Hence, the speed of the boat traveling upstream is (18-w) miles per hr.

Part (2): The boat travels 49 miles upstream in the same time it takes to travel 77 miles downstream.

The distance formula is given by distance $=$ speed $\times$ time

Substituting, we have,

49=(18-w)t\\49=18t-wt  ---------------(1)

77=(18+w)t\\77=18t+wt  ---------------(2)

Solving using elimination method,

49=18 t-w t\\77=18 t+w t\\-------\\126=36t

Dividing both sides by 36, we have,

t=3.5

Substituting t=3.5 in $49=18 t-w t$, we get,

49=18(3.5)-w (3.5)\\

49=63-3.5w\\

-14=-3.5w\\

4=w

Thus, the speed of the current is w=4 miles per hour.

5 0
2 years ago
The number 2^1993 + 3^1993 is a multiple of 5. What is the units digit of the quotient (2^1993 + 3^1993)/5?
Ad libitum [116K]

Answer: The unit digit of the quotient is 1.

Step-by-step explanation:

Since the number 2^1993 + 3^1993 is a multiple of 5, this means that no matter the value of the answer to the equation, the last digit will be 5 (we call the last digit of any number its "unit digit").

Since the unit digit of 2^1993 + 3^1993 is 5, if the unit digit is divided by 5 i.e 5/5, it will give us 1.

We will only consider the last digits of the multiple of 5 as our numerator

3 0
2 years ago
Two window washers start at the heights shown. (A: 21 ft high rising 8 in per second. The other is 50 feet high descending 11inc
babunello [35]

For this case, the first thing we are going to do is write the generic equation of motion for the vertical axis.

We have then:

h = \frac {1} {2} gt ^ 2 + vo * t + h0

Where,

  • <em>g: acceleration of gravity </em>
  • <em>vo: initial speed </em>
  • <em>h0: initial height </em>

For the first body:

h1 = \frac {1} {2} gt ^ 2 + \frac {8} {12} * t + 21

For the second body:

h2 = \frac {1} {2} gt ^ 2 - \frac {11} {12} * t + 50

By the time both bodies have the same height we have:

h1 = h2\\

\frac {1} {2} gt ^ 2 + \frac {8} {12} * t + 21 = \frac {1} {2} gt ^ 2 - \frac {11} {12} * t + 50

Rewriting we have:

\frac {8} {12} * t + 21 = - \frac {11} {12} * t + 50

\frac {8} {12} * t + \frac {11} {12} * t = 50 - 21

\frac {19} {12} * t = 29

Clearing time:

t = 29 (\frac {12} {19})\\t = 18.31s

Answer:

 it takes 18.31s for the two window washers to reach the same height

6 0
2 years ago
Read 2 more answers
Which graph could represent a car that begins by increasing its speed, then travels at a constant speed, and then decreases its
Savatey [412]
The graph would almost look like this

8 0
2 years ago
Read 2 more answers
If Line segment C B. bisects ∠ACD, what additional information could be used to prove ΔABC ≅ ΔDBC using SAS? Select three option
meriva

Answer:

Option (1)

Step-by-step explanation:

In the figure attached,

BC is the angle bisector of angle ACD.

To prove ΔABC and ΔDBC congruent by SAS property we require two sides and the angle between these sides to be congruent.

Since BC ≅ BC [Reflexive property]

∠ABC ≅ ∠CBD ≅ 125°

And sides AB ≅ BD

Both the triangles will be congruent.

Therefore, additional information required to prove ΔABC ≅ ΔDBC have been given in option (1).

Therefore, Option (1) will be the answer.

3 0
2 years ago
Read 2 more answers
Other questions:
  • yon buys tickets to a concert for himself and a friend. there is a tax of 6% on the price of the tickets and an additional booki
    10·2 answers
  • Erika calculated that she would spend $115 on school supplies this year. She actually spent $82.50 on school supplies. What is E
    7·2 answers
  • Next no. in the sequence 7 2 0 7 8 4 3
    13·2 answers
  • Multiply the number by 4. Add 12 to the product. Divide this sum by 2. Subtract 6 from the quotient. 1st number is 3 and the res
    13·1 answer
  • The Andersons have a booth at the farmers market they set up each weekend over the summer they sell homemade apple pie for $9.75
    6·2 answers
  • Sketch the region enclosed by the given curves. Decide whether to integrate with respect to x or y. Draw a typical approximating
    11·1 answer
  • 1. Find an odd natural number x such that LCM (x, 40)= 1400
    13·1 answer
  • In ΔSTU, the measure of ∠U=90°, ST = 9.7 feet, and US = 4 feet. Find the measure of ∠T to the nearest degree.
    12·1 answer
  • Instead of having 1.5 times as many pink flowers as white flowers, molly has decided to plant a garden with twice as many pink f
    11·2 answers
  • 1,A ladder with nine rungs is to be built, with the bottom rung 24cm. wide and the top rung
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!