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
Brums [2.3K]
3 years ago
12

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

ate 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.
Mathematics
2 answers:
densk [106]3 years ago
7 0

Answer:

\[y < = 300\]

Step-by-step explanation:

Let x = number of out-of-state students at the college

Let y = number of in-state students at the college

As per the given problem, the constraints are as follows:

\[x < = 100\]    --------- (1)

\[y = 3 * x\]      --------- (2)

From the given equations (2), \[ x = y/3 \]

Substituting in (1):

\[y/3 < = 100\]

Or, \[y < = 300\] which is the constraint representing the incoming students.

Lina20 [59]3 years ago
5 0

Answer:

Constraint that represents the incoming students at the college is

y ≤ 300

Step-by-step explanation:

It is given in this question that a college is currently accepting both in-state and out of state students where,

y = Number of in-state students

x = Number of out-of-state students

Their plan is to accept three times as many in students as out of state

Which is represented by he equation y = 3x

x = \frac{y}{3}

College has space for 100 out-of-state students only, so the inequality which represents this situation will be

x ≤ 100

Now the constraint to represent the incoming students in the college will be

\frac{y}{3}\leq  100

y ≤ 300

Therefore, constraint that represents the incoming students at the college is y ≤ 300

You might be interested in
Djxjicjcjcicifiddiciicifididididjdjhhh​
Sedbober [7]

Answer:

18

Step-by-step explanation:

Let the unknown number be = x

Then,

x + 16 = 34

=> x = 34 - 16

=> x = 18 (Ans)

7 0
3 years ago
Read 2 more answers
What are the solutions to 2(x-7)^2 = 32?
MariettaO [177]
2(x-7)^2 = 32\\&#10;(x-7)^2=16\\&#10;x-7=-4 \vee x-7=4\\&#10;x=3 \vee x=11&#10;
3 0
3 years ago
missy bought 4 bags of chocolates. each bag had 8 pieces of chocolate in it . after her kids ate 6 of the chocolate missy packed
Novay_Z [31]

Answer:

There will be 2 numbers of individual bags of chocolates left with Missy.

Step-by-step explanation:

Missy bought 4 bags of chocolates and there are 8 pieces of chocolates in each bag.

Therefore, there was a total (4× 8) = 32 chocolates.

Now, her kids ate 6 of the chocolates.

So, there remains (32 - 6) = 26 chocolates left.

If Missy packed the remaining chocolates into individual bags with 13 chocolates in each bag, then there will be \frac{26}{13} =2 numbers of individual bags of chocolates left with Missy. (Answer)

5 0
3 years ago
A line is a defined term in geometry.<br> True<br> False
alexandr402 [8]

Answer:

true

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
My brothers and sisters i need help asap please
Otrada [13]

Answer:

Step-by-step explanation:

I think it is D but I am not sure

4 0
2 years ago
Other questions:
  • What is the value of x:<br> 5x + 4 = 2x +22<br><br> How would you solve this question?
    5·2 answers
  • Glenn budgets 1/6 of his weekly allowance for entertainment. Glenn's entertainment bill is 29. What is his weekly allowance?
    5·1 answer
  • A stock falls 7 points each day for 2 days. What integer represents the change in stock price for the two days?
    10·1 answer
  • NEED ASAP!!!!
    7·1 answer
  • I need help BRAINLIEST BRAINLIEST BRAINLIEST BRAINLIEST BRAINLIEST BRAINLIEST BRAINLIEST BRAINLIEST
    10·2 answers
  • Simplify the expression
    15·2 answers
  • Evaluate x2+9/x2 for each of the given values.
    6·2 answers
  • Nathaniel and meteorologists keep track of the amount of rain each year relative to the amount of rain in 2000 two years of data
    8·2 answers
  • Y=x-5<br> y=7<br> solve for x<br> simplify your answer as much as possible
    6·1 answer
  • 4 2/9+4 2/9+ 4 2/9+ 4 2/9
    10·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!