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disa [49]
3 years ago
7

8) A school community had planned to reduce the number of grade 9 students per class room by constructing additional class rooms

. However, they constructed 4 less rooms than they planned. As the result, the number of students per class 10 more than they planned. If there are 1200 grade nine students in the school, determine the current number of class rooms and the number of students per class.​
Mathematics
1 answer:
Allisa [31]3 years ago
7 0

Step-by-step explanation:

Let "c" be the original number of classrooms.

The 1200/c was the original number of students per classroom.

----

Equation:

1200/(c-4) = (1200/c)+10

Multiply thru by c(c-4)

---

1200c = 1200(c-4)+10c(c-4)

---

1200c = 1200c-4800 + 10c^2-40c

----

10c^2-40c-4800 = 0

c^2-4c-480 = 0

Factor:

(c-24)(c+20) = 0

---

Positive solution:

c = 24 (# of classrooms originaly planned)

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Step-by-step explanation:

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3 0
3 years ago
The width of a rectangle is 22 inches and the perimeter is at least 165 inches. what inequality could be used to find the minimu
Lera25 [3.4K]
The answer is D.

We know that a rectangle has two widths that are equal and two lengths that are equal. One width is 22, so the other one is also 22.

If you wanted to find the lengths, you would add both widths together (same as multiplying a width by two) and add that to the two lengths equaled to the perimeter.

So, 22 * 2 + 2x = perimeter of rectangle. We added all four sides together.

We know that the perimeter is at least 165, so 22 * 2 + 2x = 165. Here's the twist. They want the most minimum possible length. So, what answer choice gives you 165 or less for the most minimum or smallest length while still getting to 165?
That is D.
22 * 2 + 2x < = 165.
Hope this helped!
6 0
4 years ago
Read 2 more answers
Explain each step of how to solve this: -1 2/3 divided by 3/5
Tatiana [17]

Answer:

11 2/3 or 11.6667

Step-by-step explanation:

Hope this helps and have a great day.

8 0
3 years ago
Solve the equation. Check your solutions.<br> |4b+4|=|2b+8|
anzhelika [568]

Answer:

<h2><u>b = 2 or b = -2</u></h2>

Explanation:

|4b + 4| = |2b + 8|

<em>Solve absolute value</em>

|4b + 4| = |2b + 8|

Either 4b + 4 = 2b + 8 or 4b + 4 = −(2b + 8)

4b + 4 = 2b + 8 <em>(Possibility 1)</em>

4b + 4 − 2b = 2b + 8 − 2b <em>(Subtract 2b from both sides)</em>

2b + 4 = 8

2b + 4 − 4 = 8 − 4 <em>(Subtract 4 from both sides)</em>

2b = 4

2b / 2 = 4 / 2 <em>(Divide both sides by 2)</em>

b = 2

4b + 4 = −(2b + 8) <em>(Possibility 2)</em>

4b + 4 = −2b − 8 <em>(Simplify both sides of the equation)</em>

4b + 4 + 2b = −2b − 8 + 2b <em>(Add 2b to both sides)</em>

6b + 4 = −8

6b + 4 − 4 = −8 − 4 <em>(Subtract 4 from both sides)</em>

6b = −12

6b / 6 = -12 / 6 <em>(Divide both sides by 6)</em>

b = -2

<h2><u>b = 2 or b = -2</u></h2>
6 0
3 years ago
Using PEMDAS, which expression would you solve for first in the equation 7 * 4 + 22 / 4 - 2?
Anna71 [15]
A. 7*4


because there are no parentheses or exponents so multiplication is next
8 0
3 years ago
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