1answer.
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
SVETLANKA909090 [29]
3 years ago
14

A college is currently accepting students that are both in-state and out-of-state. They plan to accept three times as many in-st

ates students as out-of-state, and they only have space to accept 100 out-of-state students. Let x= the number of out=of=state students and y= the number in-state students. Write the constrains to represent the incoming students at the college.
Mathematics
1 answer:
ziro4ka [17]3 years ago
8 0

Answer:

0 < x ≤ 100 and 0 < y ≤ 300

Step-by-step explanation:

THIS IS THE COMPLETE QUESTION BELOW;

college is currently accepting students that are both in-state and out-of-state. They plan to accept three times as many in-state students as out-of-state, and they only have space to accept 100 out-of-state students. Let x = the number of out-of-state students and y = the number in-state students. Write the constraints to represent the incoming students at the college.

0 < x ≤ 100 and 0 < y ≤ 300

x > 0 and y > 0

0 < x ≤ 100 and y > 300

0 < x and y < 100

SOLUTION

they only have space to accept 100 out-of-state students,which means that the Maximum number of out-of-state students that can be accepted is 100

Then x= 100(Maximum number of out-of-state students that can be accepted)

They plan to accept three times as many in-state students as out-of-state which means that

Y = 3x(Maximum number of in-state students)

Then we can deduced that the numbee out-of-state students that can be accepted can lyes between the range of 0 and 100 which means from interval 0 to 100

Which can be written as 0 < x ≤ 100

But we need to know the interval for the Maximum number of in-state students(Y), to do that we need to multiply the equation above by 3 since Y = 3x

0 < x ≤ 100

3× 0 = 0

3× X = X

3× 100= 300

Then 0 < 3x≤ 300

But we know that Y = 3x then substitute into last equation

We have

0 < y ≤ 300

ThenBthe constraints to represent the incoming students at the college is

0 < x ≤ 100 and 0 < y ≤ 300

You might be interested in
What's the answer? pls help
Sunny_sXe [5.5K]

Answer: -2

I'm not so sure what it means by slope, but because I saw a pattern between x and y (it decreases by 2 every x value and decreases by 4 every TWO x values) values so I would pick -2. BUT I don't know if the answer is -4.

Step-by-step explanation:

7 0
3 years ago
Lenore is going to sell T-shirts at a field hockeygame to raise money for the team. She findsa website that makes custom T-shirt
sertanlavr [38]
Ndndjdjsjsjsjdjsjsjdnd
5 0
2 years ago
6. A certain $400 investment is increasing 10%
Mars2501 [29]

Answer:

0.10

Step-by-step explanation:

0.10 = 10/100 or 10%

Multiply 400*0.10 to get 10% of 400.

6 0
2 years ago
Jake rate 6 dollers per a week or no
Liono4ka [1.6K]

Answer:

A. 6 dollars per week.

Step-by-step explanation:

Because if you look carefully in the graph, you would see that the dot on 1 week is above 5 dollars so therefore, it would be 6 dollars. To check, look at the next dot and see. You will see that the dot above 2 weeks is in the middle of 10 and 15 dollars.

Hope I helped.

5 0
3 years ago
The radius of a semicircle is 3 kilometres. What is the semicircle's perimeter?
alina1380 [7]

Answer:

In terms of Pi: 3\pi + 6 km

Exact value (rounded): 15.42477 km

Approximated (3.14): 15.42 km

Step-by-step explanation:

Hello!

A semicircle's perimeter can be found using the formula: P = \pi r + 2r

We can plug in the values to solve for the perimeter.

<h3>Solve</h3>
  • P = \pi r + 2r
  • P = \pi(3)+ 2(3)
  • P = 3\pi + 6

In terms of Pi, it is 3\pi + 6,

Exact value of Pi, it is 15.42477

Approximation of Pi (3.14), it is = 15.42

6 0
2 years ago
Other questions:
  • On a very cold morning, it was -8°F. As the day went on, the temperature rose 2 degrees each hour. Which equation shows the temp
    15·2 answers
  • Norachai left the mall and traveled toward
    14·1 answer
  • a medium sized apple has 70 calories.this is 10 calories less than 1/4 0f the calories in an old westie chocolate bar. we need t
    12·1 answer
  • Whats linear and non linear? y=22−5x y=x3 y=x3+13
    10·1 answer
  • I GIVE BRAINLILSET
    9·2 answers
  • Find the x-and y -intercepts.<br> y=20<br> The x-intercept is <br> The y-intercept is
    6·1 answer
  • A pair of congruent angles are described as follows: The degree measure of one angle is three more than twice a number, and the
    11·1 answer
  • Help me please this should be easy ​
    7·1 answer
  • What is the theme of the poem Caged Bird Give a brief summary of the poem . Explain what poetic devices are. Provide historical
    12·1 answer
  • 5 +4.2 + 5 – 2. 2 - 1​
    15·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!