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.​

Answers

Answer 1

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)


Related Questions

Let f(x) =
=(x^2-16x+39
Divide by X-3
a,if x #3
if x = 3

Answers

Answer:

Step-by-step explanation:

x² - 16x + 39 = ( x - 3 )( x - 13 )

what rounds up to 5,620 to the nearest ten

Answers

5,610

Step by step explanation:

When rounding to the nearest ten, like we did with 5620 above, we use the following rules:

We round the number up to the nearest ten if the last digit in the number is 5, 6, 7, 8, or 9.

We round the number down to the nearest ten if the last digit in the number is 1, 2, 3, or 4.

If the last digit is 0, then we do not have to do any rounding, because it is already to the ten.

Answer: 5620

~~Step-by-step explanation~~

Rounding has a simple rule. 5 or above? Up you shove. 4 or below? Keep it low.

1. What are you using to round?

5620 : The tens place is the number we are either going to be rounding up or keeping. In this case, it is the 2 in 5620.5620 : When rounding to the nearest ten, you look at the ones section. In this case, it is the 0 in 5620.

2. Execution

When rounding up to tens, look at the ones value. If the number is 5 or above, round the tens place up a number. (ex. 5625 --> 5630) If the number is a 4 or below, keep the tens value the same. (ex. 5624 --> 5620)Since the ones place in 5620 is below a four, we are going to keep the tens value the same, so the answer is going to be 5620.

Cameron wants to buy a camera for $259. He has $50 and plans to save $20 each week. How many weeks will it take to save enough money to buy the camera? (not including
sales tax)

Answers

Answer:

About 11 Weeks

Step-by-step explanation:

I found out by multiplying 11 by 20 and got 220. Then, adding 50 is 270, which is just over 259. It's not ten because 200 is just underneath his goal.

What do we call these types of fractions?

1/2 and 5/10

Answers

This are fractions because they are not mixed fraction by the way those two are 0.5

Answer:

Proper Fractions.

Step-by-step explanation:

These are Proper Fractions because the numerator (1 and 5) is lower than the denominator (5 and 10).

11/2 ___ 55%? PLS I NEED A AWNSER

Answers

Answer:

The answer is >

Step-by-step explanation:

11/2 as a percentage is equal to 550% which is greater than (>) 55%

Ashley is keeping track of the miles she runs over the summer. Her goal is to run 600 miles over the summer. If she has run 230 miles so far, write an equation and solve for the number of miles she has left to run to reach her goal.

Answers

Answer:

600-230=L

Step-by-step explanation:

L means Left or What's left

if 24 bags of sugar with equal weight weigh 21 kg, how many bags of sugar would weigh 122kg?​

Answers

Answer:

24 bags = 21 kg

1.142 bag = 1 kg

About 139 bags = 122 kg

You start off with 24 bags that equal the same amount as 21 kg. You need to find out how many bags of sugar equal the same amount as 122 kg. The first line is a ratio and to find your answer you need to figure out what is 1 kilogram equal to in the amount of bags. You divide both sides by 21 leaving 1.142 bag equal to 1 kilogram. In order to find 122 kilograms, you have to multiply both sides by 122 kilograms which would give you about 139 bags = 122 kilograms.  

Your final answer: 139 bags

I hope this helped!

What is the smallest number that is a multiple of both 4 and 6

Answers

Answer:

2

Step-by-step explanation:

4 2x2 is 4

2x3 is 6

sorry for the long type it says 20 character above

The smallest multiple of the numbers would be 2

Find the sides, and the value of x and y.

Answers

Answer:

[tex]\huge\boxed{x=15;\ y=4}[/tex]

Step-by-step explanation:

Proportion:

[tex]\dfrac{x}{18}=\dfrac{5}{6}\qquad|\text{cross multiply}\\\\(x)(6)=(18)(5)\\\\6x=90\qquad|\text{divide both sides by 6}\\\\\huge\boxed{x=15}[/tex]

[tex]\dfrac{y}{5}=\dfrac{12}{x}[/tex]

substitute x = 15:

[tex]\dfrac{y}{5}=\dfrac{12:3}{15:3}\\\\\dfrac{y}{5}=\dfrac{4}{5}\qquad|\text{cross multiply}\\\\(y)(5)=(5)(4)\\\\5y=20\qquad|\text{divide both sides by 5}\\\\\huge\boxed{y=4}[/tex]

Select the range of the following relation { (20, 2), (30, 4), (40, 1), (50, 2)} A {1, 2, 3) B {1,2,4} C {1, 2, 3, 4) D {2, 3, 4)​

Answers

Answer:

B  {1,2,4}

Step-by-step explanation:

I took the test

please help before it's Monday ​

Answers

Answer:

Mateo's data shows a negative association

Step-by-step explanation:

Okay, so the y-axis is his amount of typos. The x-axis is the number of pages.

We can clearly see the typos found number increasing through the number of pages. Which is bad :/

Hope this helps :)

Ella takes 1 3/5 hours to complete a
painting. Holly takes 3/4 of the time that
Ella takes. How long will Holly take to complete 5 paintings?

Answers

Answer:

6 hours

Step-by-step explanation:

FInding Holly's time of Ella's

Ella = [tex]1 \frac{3}{5}[/tex]

Holly = [tex]\frac{3}{4} \:\mathrm{of}\:1 \frac{3}{5}[/tex]

Solve:

[tex]\frac{3}{4} \:\mathrm{of}\:1 \frac{3}{5}[/tex]

[tex]= \frac{3}{4} \times1 \frac{3}{5}[/tex]

[tex]1\frac{3}{5} =\frac{8}{5}[/tex]

[tex]\frac{3}{4}\times \frac{8}{5}=\frac{24}{20}[/tex]

[tex]\frac{24}{20} =\frac{6}{5}[/tex]

Now, we can find how many hours it takes holly to complete 5 paintings:

[tex]\frac{6}{5}\times5[/tex]

[tex]=6[/tex]

Therefore, it will take Holly 6 hours to complete 5 paintings.

Find the area of the shape shown below:

Answers

Answer:

80

Step-by-step explanation:

3.5*2*2*2*2*5=280

what is
The lines shown below are parallel. If the green line has a slope of -3/7
the slope of the red line?

Answers

if the lines were parallel they would have the same slope. if the lines were perpendicular then the slope would be the negative reciprocal slope. The answer to your question would be -3/7.

tom drank 3/4 of a cup of water in 2/3 of a minute. at this rate how much water did he drink in a full minute PLEASE HELP

Answers

Answer:

9/8

Step-by-step explanation:

x=(3/4)/2*3=9/8

Answer:9/8

Step-by-step explanation:divide 3/4 by 2/4

8 grade math part 1 help me

Answers

ANSWER: 180°
EXPLANATION: 360-180=180

d ÷ 20 = 0.81
d = ?
what is d?

Answers

Answer: 16.2

Step-by-step explanation:

i used the calculator

When rolling a die what is probability of rolling a one

Answers

Answer:

1/6

Step-by-step explanation:

6 sides. 1 face with number 1. 1/6

help me on my 7th grade math homework

Answers

Answer:

Step-by-step explanation:

divide the money or degrees by the hours or form of time they give. for the first one you divide 585/52 to get $11.25 an hour.

What is the solution of this inequality? r−6>−11

Answers

Answer:

r > -5

Step-by-step explanation:

r - 6 > -11

 + 6   + 6

---------------

r > -5

hope this helps! :D

have a miraculous day, and brainliest is immensely appreciated!! <3

I need help with this question

Answers

Answer:

Go download CameraMath on playstore that how

I is get my answer

Please Help Me - Calc.

Answers

[tex]\text{Given that,}\\\\2(x^2+y^2)^2 = 25 (x^2-y^2)\\\\\implies 2\dfrac{d}{dx} (x^2 +y^2)^2 = 25 \dfrac{d}{dx} (x^2 -y^2)\\\\\implies 2 \cdot 2(x^2 +y^2) \dfrac{d}{dx}(x^2 +y^2) = 25\left[2x - 2y \dfrac{dy}{dx} \right]\\\\\implies (4x^2 +4y^2)\left(2x + 2y\dfrac{dy}{dx}\right) = 50x - 50y\dfrac{dy}{dx}\\\\\\\implies 8x^3+8x^2y \dfrac{dy}{dx} + 8xy^2 +8y^3\dfrac{dy}{dx} = 50x -50y \dfrac{dy}{dx}\\\\\\\implies 8x^2y \dfrac{dy}{dx} + 8y^3\dfrac{dy}{dx}+50y \dfrac{dy}{dx} = 50x -8x^3 -8xy^2\\\\[/tex]

[tex]\implies (8x^2y +8y^3 + 50y)\dfrac{dy}{dx} =50x -8x^3 -8xy^2\\\\\implies \dfrac{dy}{dx} = \dfrac{50x -8x^3 -8xy^2}{8x^2y+8y^3+50y}\\\\\implies \dfrac{dy}{dx}= \dfrac{25x-4x^3-4xy^2}{4x^2y+4y^3+25y}\\\\\\\implies \dfrac{dy}{dx} = \dfrac{x(25-4x^2-4y^2)}{y(4x^2 +4y^2 +25)}\\\\\\\text{Slope at}~~ (-3,-1)\\\\m=\dfrac{dy}{dx} = \dfrac{-3[25-4(-3)^2-4(-1)^2]}{(-1)[4(-3)^2 + 4(-1)^2+25]} = -\dfrac{45}{65} = -\dfrac 9{13}[/tex]

[tex]\text{Equation with given points,}\\\\y+1 = -\dfrac9{13}(x+3)\\\\\implies y = -\dfrac 9{13} x - \dfrac {27}{13} -1\\\\\implies y= -\dfrac 9{13} x - \dfrac{40}{13}\\\\\text{Hence the equation of this tangent line is now in a form of y= mx+b,}\\\\\text{where}~ m = -\dfrac 9{13}~ \text{and}~ b = -\dfrac{40}3[/tex]

in simplest form is _______.

Answers

Answer:

5/7

Step-by-step explanation:

The greatest common factor of 25/35 is 5, 25/5=5, 35/5=7, therefore your answer is 5/7.

How many solutions does the nonlinear system of equations graphed below have?

Answers

Answer D zero there no solution

Answer:

Four

Step-by-step explanation:

I recoloured the hyperbola to enfasize the two different equations (the other is a circle. The solution of the equations are the point where the two graphs touch, which are circled in black.

A restaurant is making hamburgers. The cooks use 2/3 pounds of beef for each hamburger. If the cooks have 44 and 2/3 pounds of beef,how many hamburgers can they make?


Answers

Answer:

67 hamburgers

Step-by-step explanation:

In order to find the answer to this question, you must do the following equation:

44÷2/3. The answer to this is 66.

Then, you add 1 to 66, because 2/3 divided by 2/3 = 1!

So, the cook can make 67 hamburgers.

name a ray with endpoint u

Answers

i don't know hindi ko po alam

a and b

alam ko

Please help me! No links, cheaters, or rude comments please!

Answers

Answer:

hmm i would say its -2 and 1/2.. although i am a little rusty at this..but this is what i choose

Step-by-step explanation:

Answer:

a and d is correct I did the test and got 100 .

andrew bought a camera on sale at a 20% discount. it was marked down from its regular price of 120$ if there is an 8% sales tax on the sales price, how much did andrew pay for the camera?

Answers

Answer:

$103.68

Step-by-step explanation:

20% 0f 120 is 24

120-24=96

8% of 96 is 7.68

96 + 7.68 = 103.68

Elizabeth earned $150 a week tutoring . If he saved $75, what percent of the money he earned did he save

Answers

Answer:

50%

Step-by-step explanation:

Cuz 75 is 1/2 of 150, so 1/2 is equal to 50%.

Find the domain and range of f... please help

Answers

The range is [tex]\boxed{-4 \leq y < 0}[/tex].

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