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The ratio of teachers to students in a particular school is 1 to 11. The ratio of female students to the total number of students is 4 to 9. If there are 396 female students, then how many teachers are there?

Answers

Answer 1

Answer:

81

Step-by-step explanation:

Set up a proportion to find how many total students there are [notice how females are on top and totals are on the bottom of the ratios]

[tex]\frac{4}{9}[/tex] = [tex]\frac{396}{x}[/tex] so cross multiply 4x = 396(9) so x = 891, if there are a total of 891 students and you need 1 teacher per 11 students then take 891/11 so you need 81 teachers.

You could set up another proportion 1/11 = x/891

Answer 2

If there are 396 female students, there are 81 teachers.

How to obtain real measurements from the ratio of two measurements?

Suppose the  real measurements were "a" and "b"

Then their ratio will be formed as

[tex]\dfrac{a}{b} = \dfrac{p \times x}{q \times x} = \dfrac{p}{q}[/tex]

where  is a common factor (not 1)

This shows that to get the real measurements from the given ratio, we need to assume to have some factor possibly cancelled from both the numerator and the denominator.

Thus, a = px, b = qx

First, Set up a proportion to find how many total students there are

[notice how females are on top and totals are on the bottom of the ratios]

So, 4/9 = 396 / x

then, cross multiply

4x = 396(9)

so x = 891,

if there are a total of 891 students and we need 1 teacher per 11 students then take 891/11.

Thus, you need 81 teachers.

Also, we could set up another proportion 1/11 = x/891

Hence,  If there are 396 female students, there are 81 teachers.

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Related Questions

50:55
Triangle SRQ undergoes a rigid transformation that results
in triangle VUT.
Which statements are true regarding the transformation?
Select two options.
SRE
OSQ corresponds to VU.
V
O ZR corresponds to ZU.
UV corresponds to RS.
OZS corresponds to ZT.
OQS corresponds to RS.
Sign out​

Answers

Answer:

UV corresponds to RS.

[tex]\angle R[/tex] corresponds to [tex]\angle U[/tex]

Step-by-step explanation:

Given

[tex]\triangle SRQ[/tex] and [tex]\triangle VUT[/tex]

Transformation: Rigid

Required

Determine the true options

When a rigid transformation occurs from SRQ to VUT, the following are the corresponding sides:

SR to VU, SQ to VT, RQ to UT

And the corresponding angles are:

<S to <V, <R to <U and <Q to <T

From the corresponding sides above, we have:

SR to VU

Rewrite:

RS to UV

Hence: (c) is correct

From the corresponding angles above, we have:

[tex]\angle R[/tex] to [tex]\angle U[/tex]

Hence:

(b) is correct

The endpoints of line segment. CD are C(-4,7) and D(0,-3). Find the midpoint of
line segment CD.

Answers

Given:

The endpoints of line segment CD are C(-4,7) and D(0,-3).

To find:

The midpoint of CD.

Solution:

Midpoint formula:

[tex]Midpoint=\left(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2}\right)[/tex]

Using the midpoint formula, the midpoint of CD is

[tex]Midpoint=\left(\dfrac{-4+0}{2},\dfrac{7-3}{2}\right)[/tex]

[tex]Midpoint=\left(\dfrac{-4}{2},\dfrac{4}{2}\right)[/tex]

[tex]Midpoint=\left(-2,2\right)[/tex]

Therefore, the midpoint of the line segment CD is (-2,2).

Molly bought 10 bags of the same dog food. She had a coupon for $5. She sprang a total of$65. How much money was each of bags dog food?

Answers

Answer:

$7

Step-by-step explanation:

if she bought 10 bags and had $5 off and she spent $65 it would technically its $70 ÷ 10 = $7 per bag.

Each bag of dog food cost $7.

What is Unitary Method?

The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units.

For example, Let's say Ram spends 36 Rs. for a dozen (12) bananas.

12 bananas will set you back 36 Rs. 1 banana costs 36 x 12 = 3 Rupees.

As a result, one banana costs three rupees. Let's say we need to calculate the price of 15 bananas.

This may be done as follows: 15 bananas cost 3 rupees each; 15 units cost 45 rupees.

We have,

Molly bought 10 bags of the same dog food.

She had a coupon for $5.

and, the amount without coupon is $65.

Then, the total amount is

= 65 + 5

= $70

So, the price per bag is

= 70/ 10

= $7

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helppppp pleaseeeee im giving 15 for this ;^;

im in dire need for multiple questions. this is 5/5​ (last one!)​

Answers

I’m pretty sure it should be ,B

Answer:

b. x=2

Step-by-step explanation:

The axis of symmetry of a parabola gives us a line of symmetry where the parabola appears the same but flipped on either side. It passes through the parabola's vertex, or the minimum/maximum point of the parabola. Here, we can see that the parabola's minimum point occurs when x=2. Therefore, its axis of symmetry is x=2.

I hope this helps!

Can someone help me with 5, 8 and 9?

Answers

5. b1= 8, b2= 11+9=20, h= 15, A= 210

8. b1= 4, b2= 10, h= 5.2, A= 36.4

9. b1= 7, b2= 13, h= 4.2, A= 42

Pleaseee answer correctly !!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!! (It has to be two capital letters !!! )

Answers

Answer:

the answer is WU is congruent to UV

TW is congruent to UV

NEED ASAP AND WILL GIVE BRAINLIEST a quarter circle has been cut from a square sheet of paper , as shown in the diagram below . what is the approximate area of the quarter circle that was cut from the paper​

Answers

Answer:

this would be the area

Step-by-step explanation:

0.049 you take the square root of pie and you divide it by 1/4 and see what you get will help you towards this answer

HELP??? What is the equation of the line in y=mx+b format?

Answers

Answer:

y = 1/2x - 1

Step-by-step explanation:

To find the slope, you need to find the y-intercept first (or the place the line crosses over the y-line). After you've found the y-intercept (-1), you need to find the next point that the line crosses. This line has a positive slope, so you'll want to look for the next point towards the right. The next point was 1 up and 2 over.

Answer:

y = 2/5x - 1

Step-by-step explanation:

There are a couple of different ways to figure this out, but since you have a graph, the fastest way is to count the slope, or m in the formula, by counting the rise (units up) over run (units to the right), which is 2/5. Then, find the value of b by finding the y-intercept on the graph, or -1.

the product of two decimal is 1.5008 if one of them is 0.56 find the other?

Answers

Answer:

divide 1.5008 and 0.56

which will be 2.68


Find the distance between (2.3) and (0,6).

Answers

Use the distance formula
And just plug in your numbers and solve

the lenght of a rectangular field is twice its breadth. A girl jogged around it 4 times and covered a distance of 4.5 km. what is the length of the field​

Answers

Step-by-step explanation:

4.5÷4= 1.125

so each time she goes around the rectangle she's covering 1.125 km and we seed the length is twice the breadth x+2x=1.125

so 1.125 / 3 to give x which is the breadth=0.375 x 2 is equal to 0.75 km or 750 m this is the length of the field

Step-by-step explanation:

The length of a rectangular field is twice it's breadth. A girl jogged around it 4 times and covered a distance of 4.5 km. What is the length of the field?

The distance cover in 4 laps is 4.5 km, So one lap is 4.5/4 = 1.125 km.

Let the breadth of the field be B so the length will be L or 2B.

The perimeter of the field is 2L+2B or 4B+2B = 6B = 1.125, so B = 1.125/6 = 0.1875 km and the length is 2*0.1875 = 0.375 km.

Check: perimeter = 2*0.375 + 2*0.1875 = 1.125 km and 4 laps covers 4*1.125 = 4.5 km. correct.

The field is 375 m long.

You pick a card at random. 4 5 6 7 What is P(less than 7)? Write your answer as a fraction or whole number.

Answers

Answer:

3/4 is less than 7.

Step-by-step explanation:

There are 4 numbers but there are only 3 less than 7.

The probability P(less than 7) is 3/4.

What is probability?

Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event. The value is expressed from zero to one.

For the given situation,

The cards are numbered as s = {4,5,6,7}

⇒[tex]n(s)=4[/tex]

The event is probability of picking the cards less than 7

Cards less than [tex]7[/tex] ,  [tex]e=4,5,6[/tex]

⇒[tex]n(e)=3[/tex]

Probability of picking the card is given by [tex]p(e)=\frac{n(e)}{n(s)}[/tex]

On substituting the values,

⇒[tex]p(less than 7)=\frac{3}{4}[/tex]

Thus the probability P(less than 7)  is 3/4.

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hiring sports hall costs £30 booking fee and then £10 per hour. Chris hires and pays £120. How many hours did chris hire the hall for?​

Answers

Answer:

3 hours

Step-by-step explanation:

$30 + $10 = $40

* Just for a hour and the fee*

$128 ÷ $40 = 3

Answer:

he paid 8 hours

Step-by-step explanation:

kasi ibawas mo ang 30£ sa booking tapos i add mo yung 80£ sa

hours sa hall kasa naging 8 hours

A farmer harvests 850kg of parsnips. 30% go to the local market and 50% go to a local supermarket. What mass of parsnips are left?

Answers

answer is 170

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

50% of 850 = 425

30% of 850 = 255

425 + 255 = 680

850 - 680 = 170

There are 170 kg mass of parsnips left after distributing to the local market and local supermarket.

To calculate the mass of parsnips left after distributing them to the local market and the local supermarket, we need to subtract the quantities allocated to these places from the total harvest.

The farmer harvested 850 kg of parsnips.

30% of the harvest goes to the local market, which is (30/100) * 850 kg = 0.3 * 850 kg = 255 kg.

50% of the harvest goes to the local supermarket, which is (50/100) * 850 kg = 0.5 * 850 kg = 425 kg.

To find the mass of parsnips left, we subtract the quantities allocated to the market and supermarket from the total harvest:

Total harvest - (Quantity for market + Quantity for supermarket)

= 850 kg - (255 kg + 425 kg)

= 850 kg - 680 kg

= 170 kg.

Therefore, there are 170 kg of parsnips left after distributing to the local market and local supermarket.

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the value of -1 raised to 55 is​

Answers

Answer:

-1

Step-by-step explanation:

because -1 raised to odd number is -1

Answer:

-1

Step-by-step explanation:

55 is an odd number and you just multiply -1 55 times

Find the length of a rectangle with a perimeter of 200 cm and
breadth 10 cm.

Answers

Answer:

2,000

Step-by-step explanation:

take 10×200 !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Change the mixed number to a fraction: 1 1/2 = _____

Answers

Answer:

3/2

Step-by-step explanation:

Answer:

3/2

Step-by-step explanation:

(4 x 10^-10) (3 x 10^4)

Answers

0.000012 (or 1.2 x 10^5)

Answer:

1.2 * 10^-5 or 0.000012

Step-by-step explanation:

Use commutative property to reorder the terms

Multiply the terms

Multiply the terms with the same base by adding their exponents

Calculate the sum

Write the number in scientific notation

1.2 * 10^-5 or 0.000012

me ayuda con este ejercicio
[tex]( + 1)( + 3)[/tex]

Answers

1×3 = 3

answer is + 3

Work out the lowest common multiple (LCM) of 20, 30 and 40​

Answers

The LMC of those numbers is 120! (Hope this helps)


4) through: (5,1), slope =
5

Answers

Answer:

y = 5x - 24

Step-by-step explanation:

please let me know if you want me to add an explanation :)

Answer:

Step-by-step explanation:

y-1 = 5(x-5)

Which expression is equivalent to -3(2m - 1) - n?
A) 6m - n - 3
B) 6m - n + 3
C) -6m - n - 3
D) -6m - n + 3

Answers

Answer:

D

Step-by-step explanation:

-3(2m-1)-n

open the bracket

-6m+3-n

rearrange

-6m-n+3

Answer:

D) -3(2m -1) -n = -6m-n + 3

What is the equation of the line that passes through the point (-1,-5) and has a
slope of -1

Answers

Answer:

y=-x-6

Step-by-step explanation:

y-y1=m(x-x1)

y-(-5)=-1(x-(-1))

y+5=-(x+1)

y=-x-1-5

y=-x-6

8TH GRADE MATH PLEASE HELP

Answers

Answer is 98°.
You must add both degrees and then subtract from 180°.

Answer:

∠x = 46°

Step-by-step explanation:

We have triangle = 180° = 18° + ∠x + (180° - 64°)

=> ∠x = 180° - 18° - 116° = 46°

free brainliest if you answer this!

can 5 14 inch screws fit in ONE 24 inch wide, 2 inch long hole? pls help asking for a friend

Answers

i do not think so? but i’m not too sure

At a sale, suits were sold for 12% of their original price. If the suits originally cost $200 each, how much did a suit cost on sale?

Answers

Answer: $24

Step-by-step explanation:

12% = 0.12

200 × 0.12 = $24

I am not a professional, simply using prior knowledge!

Note- It would mean the world to me if you could mark me brainliest!

HELP ME PLZZZ!!!! URGENT!!!​

Answers

Answer:

Step-by-step explanation:

Given equation is,

x² + (p + 1)x = 5 - 2p

x² + (p + 1)x - (5 - 2p) = 0

x² + (p + 1)x + (2p - 5) = 0

Properties for the roots of a quadratic equation,

1). Quadratic equation will have two real roots, discriminant will be greater than zero. [(b² - 4ac) > 0]

2). If the equation has exactly one root, discriminant will be zero [(b² - 4ac) = 0]

3). If equation has imaginary roots, discriminant will be less than zero [(b² - 4ac) < 0].

Discriminant of the given equation = [tex](p+1)^2-4(1)(2p-5)[/tex]

For real roots,

[tex](p+1)^2-4(1)(2p-5)>0[/tex]

p² + 2p + 1 - 8p + 20 > 0

p² - 6p + 21 > 0

For all real values of 'p', given equation will be greater than zero.

Which of these explanations is the best?
Choose 1 answer:
When a file has an extension, the user knows who created the file.
When a file has an extension, the computer can decide what application to open it in.
When a file has an extension, the computer knows exactly how much memory it needs to
allocate for it
When a file has an extension, users can open files in applications they don't own.
When a file has an extension, the computer is allowed to store additional metadata about it.

Answers

Answer:

When a file has an extension, the computer is allowed to store additional metadata about it.

Hope that helped :)

What is the horizontal asymptote

Answers

Horizontal asymptotes are horizontal lines the graph approaches.

hope this helps :))
Horizontal asymptotes are horizontal lines the graph approaches. Horizontal Asymptotes CAN be crossed. ... If the degree (the largest exponent) of the denominator is bigger than the degree of the numerator, the horizontal asymptote is the x-axis (y = 0).

HELP ILL MARK YOU BRAINLIST

Answers

Hope this helps you !!!

Answer:

m∠GFT = 142°

Step-by-step explanation:

∠GFT and ∠DFT are supplementary.

m∠GFT + m∠DFT = 180

7f + 163 + 6f + 56 = 180

13f + 219 = 180

13f = -39

f = -3

m∠GFT = 7f + 163 = 7(-3) + 163 = -21 + 163 = 142

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