2. The number of male teachers is 2/3 of the number of female teachers in a school. If there are 75 teachers altogether, how many more female teachers than male teachers are there?

Answers

Answer 1

Answer:

15

Step-by-step explanation:

Because the male teacher number is 2/3 of the female teachers, we can count the female teacher number as 3/3. and since we have a ratio of 2/3 to 3/3 we can take out the 3 and think of it as 2 to 3. Since it is 2 to 3, we have 5 in total and you can divide 75 by 5 which will get you 15 (how many teachers per unit in the ratio) and if you multiply 15 by 2, you will get the male teacher number which is 30, and when you multiply 15 by 3, you will get the female teacher number which is 45, and when you subtract them, you will get 15 more female teachers.

Hope it helped!

Answer 2

There are 15 more female teachers than the male teachers.

What is equation?

An equation is a mathematical statement with an 'equal to' symbol between two expressions that have equal values.

Given that, The number of male teachers is 2/3 of the number of female teachers in a school and there are 75 teachers altogether,

Let there be 6x female and 4x male teachers in the school,

Establishing the equation,

6x + 4x = 75

10x = 75

x = 7.5

Number of more females = 6x-4x = 2x = 2(7.5) = 15

Hence, there are 15 more female teachers than the male teachers.

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Related Questions

100 POINTS PLEASE
PLEASE BRAINLIEST

Answers

Here

NB||NA

Show sum of interior angles is 180°

[tex]\\ \sf\longmapsto <NBA+<NAB=180[/tex]

[tex]\\ \sf\longmapsto <NAB+103=180[/tex]

[tex]\\ \sf\longmapsto <NAB=180-103[/tex]

[tex]\\ \sf\longmapsto <NAB=77°[/tex]

Vertical angles are supplementary

We need m<NAB

180-m<NBA180-10377°

On a trip, you see a large, sphere-shaped house. The volume of the house was 3,367,575 cubic feet. What is the radius? Use 3.14 to approximate pi. Round your answer to the nearest whole number.

Answers

Answer:

r≈93

Step-by-step explanation:

V=4/3πr³

3,367,575=4/3(3.14)r³

3,367,575=314/75r³

multiply both sides by 75/314

804357 27/314=r³

∛804357 27/314=∛r³

r≈93

I need help with this pls

Answers

Answer:

what is the imaginary part of 84-25i

Step-by-step explanation:

the result is -25i

I hope I've helped

Evaluate the expressions. Show your thinking.
10/25 x 10

Answers

Answer:

4

Step-by-step explanation:

[tex]\frac{10}{25}[/tex] × 10

[tex]\frac{100}{25}[/tex]

4

Select the correct answer.
Which expression is equivalent to 27x^4/x^2? Assume that the denominator does not equal zero.

Answers

[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]

The equivalent expression is ~

[tex] \boxed{27 {x}^{2} }[/tex]

[tex] \large \boxed{ \mathfrak{Step\:\: By\:\:Step\:\:Explanation}}[/tex]

Let's solve ~

[tex] \dfrac{27 {x}^{4} }{ {x}^{2} } [/tex]

[tex] \dfrac{27 \times x \times x \times x \times x}{x \times x} [/tex]

[tex]{27 \times x \times x}[/tex]

[tex]27 {x}^{2} [/tex]

Which of the following is not an advantage of renting? a. Ease of mobility b. Fewer responsibilities c. Lower initial costs d. Restricted lifestyle Please select the best answer from the choices provided A B C D.

Answers

A restricted lifestyle is not an advantage of renting.

Option D is the correct answer.

What is renting?

Renting a property has several advantages, such as ease of mobility, fewer responsibilities, and lower initial costs.

We have,

Ease of mobility is an advantage because it is easier for renters to move to a new location since they are not tied down to a specific property.

Fewer responsibilities are another advantage because the landlord is usually responsible for maintaining the property, making repairs, and paying for utilities.

This means that renters do not have to worry about these tasks or expenses.

Lower initial costs are also an advantage because renters do not have to pay for a down payment or closing costs, which can be a significant expense when purchasing a property.

A restricted lifestyle is not an advantage of renting.

This is because renters may be limited in terms of decorating, making changes to the property, or having pets.

Renters may also have to abide by certain rules set by the landlord or property management company.

This can limit their freedom and personalization of the space.

Thus,

A restricted lifestyle is not an advantage of renting.

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Please show work, I have no idea how to do this

Answers

Answer:

161 Remainder 4

Step-by-step explanation:

trust me on this

Answer:

_

161.2 BUT if with remainder it is 161 with a remainder of 4

Step-by-step explanation:

By the way the 2 is a repeating number so make sure to add that line at the top.

Why is all the answers on this website saying my work is wrong.

Answers

Answer:

you're wrong

Step-by-step explanation:

should have been "Why are all the answers on this website saying my work is wrong?"

I'M CONFUSED can anyone explain how to solve/do this ? ​

Answers

Answer:

The pantograph is spring-loaded and pushes a contact shoe up against the underside of the contact wire to draw the current needed to run the train.    As the train moves, the contact shoe slides along the wire and can set up standing waves in the wires which break the contact and degrade current collection.

Step-by-step explanation:

Assessment started: undefined.
Item 1
Which ordered pairs in the form (x, y) are solutions to the equation 3x−4y=21?

Select each correct answer.


(−1, −6)

(−3, 3)

(11, 3)

(7, 0)

Answers

(7,0)……………………………..!!!!!

Please help I do not understand

Answers

Answer:

-3/7

Step-by-step explanation:

Hi,

First of all, we know that the slope is not undefine because both the x-coordinates are not the same.

To find the slope, do change in y/change in x. Here, it would be ((2/7)-(5/7))/(2-1) or (-3/7)/1. Hence, the slope is -3/7.

Elizabeth writes down: One multiple of 13; and Two different factors of 77. Elizabeth adds up her three numbers. Her answer is greater than fifty but less than sixty. What three numbers could Elizabeth have written down?​

Answers

Answer:

7, 11, 39 OR -26, 1, 77;

Step-by-step explanation:

Mumble. Let's call the first number 13k, which is obviously a multiple of 13.

The factor of 77 are easy to find. It's either 77 and 1, or 11 and 7.

Now two cases. If we consider negative multiples of 13 (ie, -39 is -3 times 13) we can use the first pair (77 and 1, who sum up to 78, and start taking 13 from it as many times as we need to get to our interval.

1st pass: 78-13 = 65 out

2nd pass: 65-13 = 52 in

3rd pass : 52 - 13 = 39 out

So a possible triplet is 77, 1 and -26.

Case two: we aren't allowed to take negative numbers, and 77 and 1 will bring out of our range already. Let's stick to 11 and 7, who sum up to 18. Again, let's keep adding 13 as many times as we need

1st pass: 18+13 = 31, no good

2nd pass: 31+13 = 44, out again

3rd pass: 44+13= 57, we're good!

4th pass: 57+13 = 70, too far.

So another possible triplet is 7, 11, 39.

The moment you allow the product of the second and third number to be rationals will open a whole new can of worm that isn't any close to be interesting or fun to explore.

plz help me 3x+87 i really need help

Answers

Answer:

3  ( x  +  29 )

Step-by-step explanation:

The best I can do is factor them, hope it helps!

Some spiders, dragonflies, and houseflies are kept in three separate enclosures. They have a total of 20 heads, 136 legs, and 19 pairs of wings.
Given that...
a spider has 8 legs and 0 pairs of wings
a dragonfly has 6 legs and 2 pairs of wings
a housefly has 6 legs and 1 pair of wings
Find the number of spiders, the number of dragonflies, and the number of houseflies.

Answers

Answer:

Number of Spiders: 8

Number of Dragonflies: 7

Number of Houseflies: 5

Step-by-step explanation:

s= spider

d= dragonfly

h= housefly

Heads:

20= s+d+h

Legs:

136= 8s+6d+6h

Wings:

19= 0s+2d+1h

Solve with substitution.

Divide the second equation by 2.

136= 8s+6d+6h

68= 3d+3h+4s

Set the last equation in terms of d.

19= 0s+2d+1h

d= [tex]\frac{19}{2} -\frac{1}{2}h[/tex]

Substitute what we just found (d) into the first and our new second equation. Simplify.

20= s+d+h

20= s+[tex]\frac{19}{2} -\frac{1}{2}h[/tex]+h

h+2s=21

68= 3d+3h+4s

68= 3([tex]\frac{19}{2} -\frac{1}{2}h[/tex])+3h+4s

3h+8s=79

Take both simplified equations and solve with elimination. Do this by multiplying the top equation by negative 3.

h+2s=21

3h+8s=79

-3h-6s=-63

3h+8s=79

2s=16

s=8

Plug in s=8 into the other equation.

h+2s=21

h+2(8)=21

h=5

Plug in h=5 into the last equation we rewritten.

[tex]d= \frac{19}{2} -\frac{1}{2} h[/tex]

[tex]d=\frac{19}{2} -\frac{1}{2}(5)[/tex]

d=7

(d,h,s)= (7,5,8)

Are the ratios 2:3 and 8:12 equivalent? Justify you answer.

Answers

Answer:Yes

Step-by-step explanation:You are multiplying the ratios by 4

Please help ASAP!! I am in desperate need and please don’t just do this for points

Answers

Answer:

[tex]106 yd^2[/tex]

Step-by-step explanation:

Answer is attached. Let me know if you would like another explanation that would yield the same solution.

Slope - Part 1
What is the slope of this line?
Enter your answer as a whole number or a fraction in simplest
form in the box
Please hurry!!

Answers

Answer:

-1

Step-by-step explanation:

We can use the slope formula to find the slope

m = ( y2-y1)/(x2-x1)

Using the points on the line  (-2,0) and (0,-2)

m = ( -2-0)/(0- -2)

   = (-2-0)/(0+2)

   -2/2

   -1

Which expression is equivalent to 24 x 2 - 22 x + 5? A(8 x - 5)(3 x - 1) B (8 x + 5)(3 x + 1) C(12 x - 5)(2 x - 1) D (12 x + 5)(2 x + 1)

Answers

Answer:

C) (12x-5)(2x-1)

Step-by-step explanation:

12x multiplies 2x to give 24x²

then 12x multiply -1 to give -12x

then -5 multiply 2x to give -10x

then -5 multiply -1 to give 5

that will be 24x²-12x-10x+5

our and =24x²-22x+5

Which of the following is a possible situation for the graph shown?

Answers

Step-by-step explanation:

but the graph is not given here

The weights of 2-pound bags of Best Dog Food are approximately normally distributed with a given mean Mu and standard deviation Sigma. According to the Empirical Rule, what percentage of the bags will have weights within 3 standard deviations of the mean? 47. 5% 68% 95% 99. 7%.

Answers

I think it’s 68 percent

Which statement describes the sequence -9, -3, 3, 9, 15, ...?
O A.
an arithmetic sequence with common difference -9
O
B.
an arithmetic sequence with common difference 3
C.
an arithmetic sequence with common difference 6
ОО
O D. not an arithmetic sequence

Answers

Answer:

The answer is C

Step-by-step explanation:

An arithmetic sequence with common difference 6

(-3)-(-9) = 6

3 - (-3) = 6

9 - 3 = 6

15 - 9 = 6

can someone please help me please

Answers

It might be B I might not be right

Answer:

Letter b

Step-by-step explanation:

because it is

The sum of the ages of a woman and her
son is 64 years. In 4 years time the woman
will be three and half times as old as her
son. How old were they three years ago?

Answers

Step-by-step explanation:

sorry for my ugly handwriting, hope it helps

please help!!
solve for x

Answers

Answer:

4

Step-by-step explanation:

These both angles are vertically opposite angles. And, vertically opposite angles are equal. So,

→ 5x ― 6 = 3x + 2

→ 5x ― 3x = 2 + 6

→ 2x = 8

→ x = 8/2

x = 4

Therefore, the value of x is 4.

What is 968.1 as a fraction

Answers

I believe it is 9681/10.

Answer:

the answer is 9681/10

Step-by-step explanation:

9681/10

i need help in this math

Answers

Answer:

2

Step-by-step explanation:

Plug in 3 for the a's and -2 for the b's:

[tex]-2^{2} -(-2 + 3(3)) + 3 = ?[/tex]

Then simplify:

[tex]4 - (-2 + 9) + 3 = ?[/tex]

remember to add 1 as a placeholder if the sign before the parenthesis is a minus:

[tex]4 + 4 - 9 + 3 = ?[/tex]

Solve:

[tex]4 +4 -9+3=2[/tex]

If the area of rectangle is x^2+5x+6, what expressions represent the length and width of the rectangle?

Answers

Answer:

length = x + 3

width = x + 2

Step-by-step explanation:

Hope it helps:)

Katrice wrote the numbers 137 and 174. Which sentence is true about the digit 7 in each number?

The 7 in 137 represents ten times the 7 in 174.

The 7 in 174 represents ten times the 7 in 137.

The 7 in 137 represents one hundred times the 7 in 174.

The 7 in 174 represents one hundred times the 7 in 137.

Answers

Answer:

The 7 in 137 represents ten times the 7 in 137 (the second option)

Step-by-step explanation:

The seven in 137 equals 7

The seven in 174 equals 70

7 times 10 = 70

I hope this helped!

What is 20 dived by 5 +19-6

Answers

Answer:

17

Step-by-step explanation:

20 divided by 5 + 19 - 6

20 divided by 5 = 4

4 + 19 = 23

23 - 6 = 17

a = 3, k = 12, z = 6, h = 4

Evaluate the algebraic expression k – a + h.

Answers

Answer:

13

Step-by-step explanation:

k = 12

A= 3

H = 4

So 12-3+4 is 13

Answer:

13

Step-by-step explanation:

Plug in the numbers for the variables.

12-3+4

Then solve in order.

12- 3 = 9

9+4 = 13.

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