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Elenna [48]
3 years ago
11

A private school admits no more than 100 students every year. Additionally at least 30 of these students must be girls, x, and t

he school admits at least as many girls as boys, y.
Mathematics
1 answer:
Galina-37 [17]3 years ago
8 0

Answer:

The equation to this word problem are:

x ≥ 30    ...... (1)

x ≥ y    ...... (2)

x + y  ≤ 100  ..... (3)

Step-by-step explanation:

Here, the given question is INCOMPLETE.

A private school admits no more than 100 students every year. additionally, at least 30 of these students must be girls, x and the school admits at least as many girls as boys,  y. What are the equation to this word problem.

Let us assume the number of girls  admitted in the school  = x

At least 30 of these students must be girls.

⇒ x ≥ 30    ...... (1)

Let us assume the number of boys admitted in the school  = y

The school admits at least as many girls as boys.

⇒ x ≥ y    ...... (2)

Also, TOTAL STUDENTS = No more than 100

So, Total Number of ( Boys + Girls) ≤ 100

⇒ x + y  ≤ 100  ..... (3)

Hence, the the equation to this word problem are:

x ≥ 30    ...... (1)

x ≥ y    ...... (2)

x + y  ≤ 100  ..... (3)

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sergey [27]
I can’t understand lol
4 0
3 years ago
Please help me if you can. Please also write how you got the answer thank you.
vesna_86 [32]

Answer:

s,q,r

Step-by-step explanation:

r is bigger than q and s is q-2 so s is smaller than q therefore smaller than r so r is the biggest then q then s but since it’s asking for it in ascending order u go from smallest to biggest.

3 0
3 years ago
Read 2 more answers
What values of b will cause 8x^2 x bx + 2 = 0 to have one real solution?
yarga [219]
<h3>Answer: b = 8 or b = -8</h3>

=======================================================

Explanation:

I'm assuming you meant to type 8x^2 + bx + 2 = 0

Compare this to ax^2 + bx + c = 0

We have a = 8, b = unknown, c = 2.

We'll use the discriminant formula which is D = b^2 - 4ac to find that

D = b^2 - 4ac

D = b^2 - 4*8*2

D = b^2 - 64

Since we want one real solution, we set the discriminant equal to zero.

D = b^2 - 64

0 = b^2 - 64

64 = b^2

b^2 = 64

b = sqrt(64) or b = -sqrt(8)

b = 8 or b = -8

So the equation 8x^2 + 8x + 2 = 0 has one solution. So does the equation 8x^2-8x+2 = 0

3 0
3 years ago
Read 2 more answers
7. The difference of Grandma Annie's age and twice Carl's is 22. Gran
OlgaM077 [116]
<h2>Systems of Equations Word Problems</h2>

To solve these questions, we can translate key words into operations:

  • <em>Difference</em> = subtract
  • <em>Twice</em> = double
  • <em>Less than</em> = subtract

<h2>Solving the Question</h2>

We're given:

  • Difference of Annie's age and twice Carl's age is 22
  • Annie's age is 13 less than 3 times Carl's age

There are two variables given two us: Annie's age and Carl's age.

  • Let Annie's age be equal to <em>x.</em>
  • Let Carl's age be equal to <em>y</em>.

Translate the given information into two equations:

  • Difference of Annie's age and twice Carl's age is 22
    ⇒ x-2y=22
  • Annie's age is 13 less than 3 times Carl's age
    ⇒ x=3y-13

Now, we can substitute the fist equation into the second one to solve for <em>y</em>:

(3y-13)-2y=22\\3y-13-2y=22\\y-13=22\\y=35

Now, substitute <em>y</em> back into the second equation to solve for <em>x</em>:

x=3y-13\\x=3(35)-13\\x=105-13\\x=92

<h2>Answer</h2>

Therefore, Grandma Annie is 92 years old.

6 0
3 years ago
a foot of a ladder is placed 1.5m from the wall the laddermakes a 70 degrees angle with the ground,find the length of the ladder
alex41 [277]
Cos70=1.5/X , where X is the length of the ladder
5 0
4 years ago
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