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.

For more reference on equations, click;

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Related Questions

please help me i will give brainliest if you get the answer correct!!

Answers

the answer is the third option f(2)<g(2)

if we input in 2 in both equations for f(x) we get 48 and for g(x) we get 175

!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!1

Answers

Answer:

b

Step-by-step explanation:

(Hurry) guys pls help me, i don’t understand what my teacher taught me

Answers

Answer:

Step-by-step explanation:

me too i dont know

Answer:

8 cm≈ 117.6 cm³

Step-by-step explanation:

Total surface area:

A = 4(1/2*7*l) + 7² = 14l + 49, where l is a slant height

We are given:

A = 161 cm²

Find the value of l:

14l + 49 = 16114l = 112l = 112/14l = 8 cm

Use Pythagorean to find the height h of the pyramid:

l² = h² + (7/2)²8² = h² + 3.5²h² = 8² - 3.5²h² = 51.75h = √51.75h ≈ 7.2 cm

Find the volume:

V = 1/3BhV = 1/3*7²*7.2V = 117.6 cm³

15 POINTS AND BRAINLIEST, im to lazy and this was do two weeks ago please help.

Answers

Answer:

$1.79

Step-by-step explanation:

h + 5f = 8.74 → (1)

2h + 3f = 7.75 → (2)

Multiplying (1) by 3 and (2) by - 5 and adding will eliminate f

3h + 15f = 26.22 → (3)

- 10h - 15f = - 38.75 → (4)

Add (3) and (4) term by term to eliminate f

- 7h = - 12.53 ( divide both sides by - 7 )

h = 1.79

The hamburger cost $1.79

Help me on this pls and thank you

Answers

Answer:

5x - 15 + 2x + 90 = 180

180 since it's a flat line, and all the angles should add up to 180 which is angle AOB, 90 degrees is already given in the middle.

Simplify all the terms (The algebra portion)

7x - 15 + 90 = 180

7x + 90 = 195

7x = 105

x = 105/7

x = 15

now substitute in x for all these angles

2(15) = 30 degrees is the angle GOB

5(15) - 15 = 60 degrees is the angle AOF

60 + 90 + 30 = 180 degrees.

and x = 15

what is the slope of (16,1) and (17,7)

Answers

6 or 6/1.

The slope formula is (y2-y1)/(x2-x1). Replace the formula with the actual numbers. You should have 7-1/17-16. After subtracting, you will have 6/1, which is equal to 6. Hope that helped!

What is the domain and range of the function below

Answers

Domain is [+7,+infinity[

Kyle had some money.
He spent £12 on a ticket to a football match.
He spent £9.90 on a scarf.
Kyle has two-fifths of his money left.
Work out how much money Kyle had to start with.

Answers

£36.50 is the answer
pls make me brainliest i need one more to move up :)
it means he spent three-fifths
12 + 9.90 = 21.90
21.90 = three-fifths
one-fifth = 21.90 : 3 = 7.3
7.3 x 5 = 36.5

The points (2,-5) and (5,r) lie on a line with slope 2. Find the missing coordinate r.

Answers

Answer: r = 1

Step-by-step explanation:

The slope of a line can be represented as [tex]\frac{y_2-y_1}{x_2-x_1}[/tex].  Plugging in the following values would provide you with:

[tex]\frac{(r)-(-5)}{(5)-(2)} =2[/tex]

[tex]\frac{r + 5}{3} = 2[/tex]

[tex]r + 5 = 6[/tex]

[tex]r = 1[/tex]

Hope it helps :) and let me know if you want me to elaborate on anything.

Cereal is on sale this week. Is it a better buy to get the 10-ounce box for $2.12 or the 14-ounce box for $2.74?

Answers

First you want to know the price for each ounce. So for the 10 ounce box: 2.12 / 10= $0.212 per ounce. Now for the 14 ounce box : 2.74/ 14 = $0.19 per ounce. So the 14 ounce box is cheaper for $2.74 as 0.19<0.21

The 14-ounce box is cheaper at a cost of $2.74 than the 10-ounce box.

What is the division operation?

In mathematics, divides left-hand operands into right-hand operands in the division operation. The primary purpose of the division is to generate equal groupings or to determine how many people are in each category after a fair distribution.

For example 4/2 = 2

First, we have to find the price for each ounce.

So for the 10-ounce box:

⇒ 2.12 / 10

Apply the division operation,

⇒ $0.212 per ounce.

Now for the 14-ounce box:

⇒ 2.74/ 14

Apply the division operation,

⇒ $0.19 per ounce.

Here the cost of the 14-ounce box is less than the 10-ounce box as 0.19 < 0.21

Therefore, the 14-ounce box is cheaper at a cost of $2.74.

To learn more about the division operation click here :

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Solve for r.
4r+10>6
71 points

Help Plslsspsl

Answers

Answer:

r > -1

Step-by-step explanation:

4r + 10 > 6

4r + 4 > 0

4 > -4r

-4 < 4r

-1 < r

r > -1

Answer:

r > - 1 or r ∈ (- 1, + ∞)

Step-by-step explanation:

4r + 10 > 64r > 6 - 104r > - 4r > - 4/4r > - 1 or r ∈ (- 1, + ∞)

Graph the line passing though (-6,-1) whose slope is m= -4/3

Answers

y=-4/3x-9

hope it helps

Solve the following inequality.
3x + 5 < 6x – 1

Answers

22

Subtract 3x on both sides
Add 1 on both sides
Divide by 3 on both sides
Then you get your answer

A garden swimming pool with a cuboidal shape is 8m long, 4m wide and 150 cm deep. The pool which is partially filled has 40m cube of water in it

Answers

8. 4m x 8m x 1.5m (150cm is equal to 1.5m) and minus by 40

Use the incomplete reaction to complete the activity. Ba(ClO3)2 → ____ + 3O2 In one or two sentences, identify the type of reaction that is occurring and identify the other product. Based on the subscripts of the elements in the other product and the fact that chlorine has seven valence electrons, determine the number of electrons in barium’s (Ba) outer shell.

Answers

The missing product of the reaction is BaCl2 and we can see that barium has two electrons on its outermost shell.

The complete reaction is  Ba(ClO3)2 → BaCl2 +  3O2. From the reaction equation, we can see that the missing product is BaCl2. The compound is composed of one barium atom and two chlorine atoms.

Since chlorine has seven valence electrons, it means that it requires two electrons from barium to complete its octet in BaCl2. This now means that barium has two electrons in its outermost shell.

Learn more: https://brainly.com/question/2192784

OXIDATION UNIT TEST

1. Which statement best explains why magnesium and chlorine combine in a 1:2 ratio?

A. Magnesium has two valence electrons, and chlorine can accept one electron in its outer shell

2. Hydrogen and nitrogen combine to form ammonia. When nitrogen and hydrogen bond, nitrogen pulls the electrons from hydrogen toward itself. Which statement about the reactants is correct?

C. Hydrogen is oxidized, and nitrogen is reduced.

3. C3H8 + 5O2 → 3CO2 + 4H2O + energy

Which type of reaction is shown?

C. combustion

4. Which phrase best defines a redox reaction?

D. a reaction in which electrons are transferred between different atoms

5. Which statement describes the process of oxidation?

D. Oxidation results in a loss of electrons, so the oxidation number increases.

6. Which chemical equation represents a redox reaction?

D. Fe2O3(s) + 2Al(s) → Al2O3(s) + 2Fe(l)

7. Which statement correctly describes the oxidation number of the manganese atom (Mn) in MnI2 and MnO2?

A. Manganese has an oxidation number of +2 in MnI2 and +4 in MnO2.

8. Br2(l) + 2NaI(aq) → I2(s) + 2NaBr(aq)

Which elements are oxidized and reduced in the reaction?

D. Iodine (I) is oxidized, and bromine (Br) is reduced.

9. Which action occurs at an electrode of a galvanic cell?

D. electron transfer

10. Which statement best compares a battery and a galvanic cell?

A. A battery’s source of power is a galvanic cell in which a redox reaction produces electrical energy.

11. Zn + 2H+ → Zn2+ + H2

2Al + 3Cu2+ → 2Al3+ + 3Cu

Which elements are oxidized?

A. zinc (Zn) and aluminum (Al)

12. 2Cr(s) + 3Cu2+(aq) → 2Cr3+(aq) + 3Cu(s)

Which half reaction occurs at the cathode?

B. 3Cu2+(aq) + 6e– → 3Cu(s)

13. Written

14. Written

15. Written

I hope this helps!

what is the unit price of a 24 oz box of cereal price to $3.84​

Answers

Answer:

$6.25

Step-by-step explanation:

divide the weight by price

WIlL GIVE BRAINLIEST!!!
Write two expressions for this situation, one representing the cost per customer and the other representing the average number of customers. Assume that x represents the number of $1 increases in the cost of the buffet.

Enter the correct answer in the box. Type the cost expression on the first line and the customer expression on the second line.

Answers

The expressions that can be used to derive the quadratic inequality for the

situation are;

Cost: 10 + xCustomers: 16 - 2·x

Reasons:

The parameters of the restaurant are;

The charge per buffet = $10

Number of customers that choose the buffet every hour = 16 customers

For an increase in $1 in the cost of the buffet, the customers decrease by 2 per each hour.

The required minimum revenue per hour = $130

Required:

The situation is to be modelled as a quadratic inequality.

Two expressions for the situation, one for the cost and one for the

customers.

Assumption: x = The number of $1 increases in the cost of the buffet

Solution:

The expressions are;

The cost of the buffet for an increase in x dollars is; Cost = 10 + x

The expression for the customers when the cost increases by x amount is; Customer = 16 - 2·x

Which gives;

Cost × Customers = Revenue

The inequality that models the situation is therefore;

(10 + x) × (16 - 2·x) ≥ 130

Which gives;

160 - 20·x + 16·x - 2·x² ≥ 130

160 - 4·x - 2·x² ≥ 130

Learn more about inequalities here:

https://brainly.com/question/10081223

Answer:

Cost: 10 + x

Customers: 16 - 2·x

Step-by-step explanation:

I got it right. Hope this helps.

solve the equation −4(m+6)=−8

Answers

.,........................

Roy bought cupcakes for his sister's birthday party. 4 out of the 10 cupcakes had sprinkles on top. What percentage of the cupcakes had sprinkles?

Answers

40%%%%%%%%%%%%%%%%% I believe

A recipe for 2 dozen cookies uses 300 grams of flour, 250 grams of butter,
and 150 grams of sugar. How much of each ingredient would be required to make 120 cookies?
Flour:
grams
Butter:
grams
Sugar:
grams

Answers

Flour; 1500grams
Butter; 1750grams
Sugar;750 grams

HELPP LIKE ILL GIVE 25 PTS!

Answers

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

Domain of f(x) ~

[tex] - 6 \leqslant x \leqslant - 1[/tex]

Range of f(x) ~

[tex] - 5 \leqslant x \leqslant - 3[/tex]

Domain of f(x): -6 ≤ x ≤ -1

Range of f(x): -5 ≤ x ≤ -3

Please help! urgent! A-E questions
no links!!!!!

A. Name a line parallel to KI.
B. Name a line skew to KI
C. Name a plane parallel to plane KIJ.
D. Name a line parallel to plane GJI.
E. What is a difference between parallel lines and skew lines? ​

Answers

Answer:

a. KJ

b. GF

c. HFG

d. FIJ

e. parallel lines will never intersect, skew lines are crooked and not in line with another specified line.

Step-by-step explanation:

hope this helps :)

A SQUARE RECTANGULAR PRISM (BASE IS A SQUARE) HAS A
VOLUME OF 38 CU. IN. THE HEIGHT IS 10 LESS THAN THE AREA
OF THE BASE. WHAT IS THE HEIGHT? NO UNITS.

Answers

The height of the prism [tex]\approx 2.9[/tex]

The whole volume of the prism is

[tex]\text{Volume} = \text{Area of base}\times \text{Height}[/tex]

Here, the volume is 38 cu. in.

From the question, the area and the height are related as follows;

[tex]\text{Height} = \text{Area} - 10 \implies \text{Height + 10} =\text{Area}[/tex]

Substituting this into the formula for the volume, we get

[tex]\text{Volume}=(\text{Height} +10)\times \text{Height}=38\\\\\text{Height}^2 + 10\times\text{Height}=38\\\\\text{Height}^2 + 10\times\text{Height}-38=0[/tex]

If the above quadratic equation is solved for the height, we get

[tex]\text{Height}\approx 2.9[/tex]

(We can't take the other solution since height has to be greater than zero)

Another word problem on volume can be found in this link: https://brainly.com/question/17142547

The flywheel on a steam engine rotates 60 revolutions every 15 seconds. What is the flywheel's rate of revolutions per second?

Answers

Answer:

It is 4

Step-by-step explanation:

Which postulate /theorem can you use to prove the two triangles shown are congruent? ​

Answers

777377737666267#773727363653626728’e

hi can someone help me....can't get the answer.....you need to find a+b+c+d ​

Answers

Answer:

B) 306°

Step-by-step explanation:

1. Pentagons have a sum of interior angles of 540°

2. Triangles have a sum of interior angles of 180°

3. Knowing that triangle EFA is isosceles, we know that

   <FEA = *<FAE, so they are equal to:  (180° - <F) /2   =   (180° - 36°) / 2

   = 144° / 2  

   = 72°

4. m<A + m<B + m<C + m<D + m<E = 540°

   It is also given that **m<D = 90°,

   so therefore m<A + m<B + m<C + m<E = 450°

5. Now to find a+b+c+d   (m<a + m<b + m< c+ m<d),

       m<a = m<E - 72°    and    m<d = m<A - 72°

   This means that

   m<a + m<b + m< c+ m<d = (m<A - 72°) + m<B + m<C + (m<E - 72°) = 450°

6. Finally,

m<a + m<b + m< c+ m<d  =  450° - 72° - 72°  =  306°

       

   

EXTRAS

* < is an angle symbol

** m<D means measure of angle D

What is the area (what is the height)

Answers

Answer:

5 i think

Step-by-step explanation:

The trapezoid's height (h) is 4 mm(millimeters).

Formula to calculate a trapezoid's height;

2 x Area ÷ by A(short base) + B(large base)

Easy question for some points 2x2-6+4

Answers

Answer:

2

Step-by-step explanation:

2 x 2 - 6 + 4

4 - 6 +4

4 - 2

2

Find 3 ratios that are equivalent to the given ratio 3 over 6

Answers

1/2 2/4 5/10 are also equivalent to the 3/6 ratio!!!

How would you write the quotient with a simplified fraction as a remainder?

Answers

Answer:

The answer is B) 851 ÷ 46 = [tex]18 \frac{1}{2}[/tex]

Step-by-step explanation:

851 ÷ 46 = 18.5

[tex]18 \frac{1}{2}[/tex] = 18.5

18.5 = 18.5

Since both are the same result that means that option B is the correct answer.

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