Last year ten examiners spent 6 hours marking all the exam papers.

This year the same process took only three hours.

How many examiners were there this time if they marked the same set of papers at the same rate?

Answers

Answer 1

Answer: 20 examiners.

Step-by-step explanation:

We know that 10 examiners need 6 hours to mark all the papers.

Then if R is the rate at which one examiner can mark all the papers, we have the equation:

(10*R)*6h = marking all the papers = 1

(i will use the 1 to represent the complete task)

then we have:

(10*R)*6h = 1

60h*R = 1

R = 1/60h

This means that only one examiner would need 60 hours to mark all the papers.

This time, we have N examiners, and they marked the same amount of papers in 3 hours, then we have thee equation:

(N*R)*3h = 1

(N*1/60h)*3h = 1

N*(3h/60h) = 1

N*(1/20) = 1

N = 1/(1/20) = 20

N = 20

This time, there are 20 examiners.


Related Questions

Given 1,000 inches, how many feet are there?

Answers

Answer:

1000 inches / 12

=83.33... feet

Answer:

83.3333 feet

Step-by-step explanation:

Find measures of complementary, supplementary, vertical, and adjacent angles VZ
The measure of an angle is nine times the measure of its supplementary angle. What is the
measure of each angle

Answers

Answer:

The measure of the angle is 150°, the measure of its supplementary is 30°

Step-by-step explanation:

The given parameters are;

The measure of the given angle = 5 × The measure of its supplementary angle

Let "x" represent the given angle, and let "y" represent its supplementary angle, we have;

x = 5 × y...(1)

x + y = 180°...(2)

By substituting the value of x = 5 × y, from the first equation into the second equation, we have;

x + y = 180°

x + y = 5 × y + y = 5·y +  y = 6·y = 180°

y = 180°/6 = 30°

y = 30°

x = 5 × y = 5 × 30° = 150°

x = 150°

The measure of the angle = x = 150°, the measure of its supplementary = y = 30°.

could i get some help 14m+2n-5(m-4n)-6n

Answers

Answer:

9m + 16n

Step-by-step explanation:

14m+2n-5m+20m-6n

9m+2n+20n-6n

add like variable

9m + 16n

Twenty (20) is what percent of 10% of 4,000?

Answers

Answer:

400

Step-by-step explanation:

Answer:

5%

Step-by-step explanation:

Please help me...................thanks

Answers

Answer:

C

Step-by-step explanation:

ǟռֆաɛʀ: C


´ռօ ɛxքʟǟɨռᏆɨօռ

If RSTU is translated by the rule (x,y) > (x+2, y-10) , in which quadrant will the image R'S'T'U be located ?

Answers

Answer:

D) Quadrant 3

Step-by-step explanation:

ok so lets get a random point and try it out i see -10 is a big number so i will use R and see where it is and then t

R(-8,3) so add 2 to x and minus 10 y

R'(-6,-7)

Now t

T(-4,9)

(+2,-10)

T'(2,-1)

It is Quadrant 3

If RSTU is translated by the rule (x, y) ⇒ (x + 2, y - 10) the image R'S'T'U be located at the D. Third quadrant.

What are transformations?

Two-dimensional figures can be transformed mathematically in order to travel about a plane or coordinate system.

Dilation: The preimage is scaled up or down to create the image.

Reflection: The picture is a preimage that has been reversed.

Rotation: Around a given point, the preimage is rotated to create the final image.

Translation: The image is translated and moved a fixed amount from the preimage.

From the given diagram, the coordinate of the vertex(T) is (- 4, 10).

Let, T' be the vertex when the quadrilateral is translated by the rule

(x, y) ⇒ (x + 2, y - 10).

Therefore, The translated coordinate of the vertex(T') is,

(- 4 + 2, 10 - 10).

= (- 2, 0).

So, The quadrilateral will lie in the third quadrant.

learn more about quadrilaterals here :

https://brainly.com/question/29934440

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3.5 is less then greater than or equal to 1.5??

Answers

Answer:

More than sorry if im wrong

Step-by-step explanation:

Drag and drop numbers into the equation to complete the equation of the line in slope-intercept form.
The line passes through (7, 13) and (4,1).
The equation of the line is y =
X +
15
-15
4

Answers

Answer:

y = 4x - 15

Step-by-step explanation:

Find slope (m) using of the line that passes through (7, 13) and (4, 1).

[tex] slope (m) = \frac{y_2 - y_1}{x_2 - x_1} = \frac{1 - 13}{4 - 7} = \frac{-12}{-3} = 4 [/tex]

Find y-intercept (b) by substituting x = 4, y = 1, and m = 4 in y = mx + b.

Thus:

1 = (4)(4) + b

1 = 16 + b

Subtract 16 from each side

-15 = b

b = -15

substitute m = 4, and b = -15 in y = mx + b, to get the equation.

The equation of the line would be:

✅ y = 4x + (-15)

y = 4x - 15

Plz help i need to turn it in in 30 min.

Answers

Answer:

First space:1000

Second space:1.1

Third space11000

Step-by-step explanation:

Explain it too and what specific subject is it

Answers

Answer:

The correct answer would be A. I have attached a picture of how to solve it below. Please have a look at it and give the crown.

A pitcher holds 3 liters of lemonade. If the contents of the pitcher are equally divided among 8 people, how much lemonade will each person receive?

Answers

Answer:

0.375 litres

Step-by-step explanation:

Given that:

Total amount of lemonade held by pitcher = 3 litres

Number of people in which lemonade is to be given equally = 8

Amount of Lemonade received by each person will be:

Total amount of lemonade / number of persons

3 litres / 8

= 0.375 litres

Each person receives 0.375 litres of lemonade

i need someone to help me with my algebra homework :(

Answers

Answer:

ok, what grade level? and you need to actually type the questions into here

I'll help because your pfp proves that you are indeed a classy individual

So.... using the point-slope formula

y-y₁=m(x-x₁)

y₁ is the y-coordinate

x₁ is x-coordinate

m is the slope

when we find the slope from both points we find that they both have a slope of 16/3

therefore... the lines are parallel

Find the area of the smaller sector. Plzzzz help!!!!!!!!!

Answers

Answer:

78.151 (approximately)

Step-by-step explanation:

To find the sector area, the formula is the angle of the sector out of 360° multiplied by the area of the full circle. Area of circle: pi × r²

=140/360×π×8²

=7/18×3.41×64

=7/18×157/50×64

=7/9×157/50×32

=7/9×157/25×16

=17584/225

=78.151 (approximately)

resolve into factors (4a+b)(4a-b)​

Answers

Answer : [tex]16^a - b^2[/tex]

[tex](4a + b) (4a - b )[/tex]

[tex]= (4a + b) (4a - b )[/tex]

[tex]= (4a) (4a) + ( 4a) (-b) + (b)(4a) + (b) (-b)[/tex]

[tex]= 16^a - 4ab + 4ab - b^2[/tex]

[tex]= 16^a - b^2[/tex]

The answer would be 16^a-b^2

Write 23/6 as a mixed number.

Answers

Answer: 3 5/6

Step-by-step explanation:

A mixed number takes the whole number out of the improper fraction. The whole number 3 can be taken out of 23/6 (18/6). Then, there is a remainder of 5/6. Add the two together and the mixed number would be 3 5/6.

23/6 as a mixed number is [tex]3\frac{5}{6}[/tex]

What is Fraction?

A fraction represents a part of a whole.

We have to write 23/6 as a mixed number

Divide the numerator (23) by the denominator (6) and write the result as a whole number plus a fraction

23 ÷ 6 = 3 with a remainder of 5

So, 23/6 is equal to 3 and 5/6 as a mixed number.

Hence, 23/6 as a mixed number is [tex]3\frac{5}{6}[/tex]

To learn more on Fractions click:

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HELP! DUE TODAY! I WILL GIVE BRAINLIEST TO FIRST PERSON WHO ANSWERS CORRECTLY!
What is the value of the first term in the following arithmetic sequence?
-9, -2, 5, 12, ...
A). 9
B). -9
C). 7
D).-7

Answers

Answer:

B

Step-by-step explanation:

pls mark brainliest

Answer:

its B)-9

Explain-9,-2,5,12 its increasing by seven

Find the percent change from the first value to the second.

50; 35

Answers

Answer:

30

Step-by-step explanation:

Plz help me with this and with an explanation and I’ll give brainliest

Answers

Answer: Your answer would be -8

Step-by-step explanation:

You have to divide each side by factors that doesn't contain the variable.

Hope this helped you! <3

Find the answer when you substitute the letters with k = 14 and d = 5 in the equation. -5d - 7k.

Answers

Answer:

-123

Step-by-step explanation:

Given that k=14 and d=5 we can substitute d and k for their actual values. -5(5)-7(14).

-5*5=-25.

-7*14=-98.

-25-98=-123.

You can use this method to solve other problems in the future hope you find this helpful. : )

Can you tell me the statements that are true?

Answers

Answer:

1=true

2=false

3=false

4=true

5=true

6=false

Step-by-step explanation:

hope this helps!:)

Find the length of RS 40 10 9 8 A. 73 units B. About 8.5 units C. About 3.3 units D. 11 units​

Answers

Answer:

4,9

Step-by-step explanation:

Answer:

It's B

Step-by-step explanation:

A concert charges $5 for a children's ticket and $11 for an adult’s ticket. One Saturday, the theater sold 1200 tickets for $10,800. How many children’ tickets and adults’ tickets were sold?

Answers

Answer:

i think 15 kid and 18 aduits

Step-by-step explanation:

Answer:

800 children’s ticket were sold and 400 adult tickets were sold

Step-by-step explanation: using elimination

variables-

amount of children’s ticket sold: C

amount of adult tickets sold: A

equations-

A+C=1200

5A+11C=10,800

solving-

(A+C=1200) -5 —> -5A-5C=-6000

5A+11C= 10,800

use elimination on those two equation and you get C=800, A=400.

to check you plug in the numbers into one of the equations, doesn’t matter which one.

If f(x)=2(x-3)x4, what is f(-2)? PLEASE HELP ILL GIVE BRAINLIEST

Answers

Answer:

f(-2) = -40

Step-by-step explanation:

f(x) = 2(x - 3) • 4

Plug in -2 for x.

f(-2) = 2(-2 - 3) • 4

Follow PEMDAS

f(-2) = 2(-5) • 4

f(-2) = -10 • 4

f(-2) = -40

Answer:

[tex]f(x) = 2(x - 3) \times 4 \\ f(x) = 8(x - 3) \\ f( - 2) = 8( - 2 - 3) \\ f( - 2) = 8 \times ( - 5) \\ \boxed{f( - 2) = - 40}[/tex]

- 40 is the right answer.

Which fraction is equivalent to 0.8?

One-eighth
Eight-tenths
Four-fifths
Eight-ninths

Answers

Answer:

Four-fifths (4/5)

hope it helps!

Answer:

Four-fifths

Step-by-step explanation:

To convert this decimal into a fraction remove the decimal and divide by 10, so the new fraction looks like 8/10. You do this because the eight is in the tenths place, so it literally translates to eight-tenths. However, fractions need to be in the simplest form so you divide both the numerator and denominator by 2 to get the final answer 4/5 or four-fifths.

Which orchard would be cheaper to visit if the class has 12 students?
Orchard A) admission costs $9 per person and 3 chaperones are required.
Orchard B) the cost is $10 per person, but only 1 chaperone is required.

Answers

Answer: orchard B

Step-by-step explanation: (orchard A) if you were to only bring the 12 students, the cost would be $108. But since it requires 3 chaperones you’d add 3 to the already 12 students making the full cost $135.

(Orchard B) if you were take only the 12 kids to the orchard it would cost you $120 but because it requires ONLY 1 chaperone, the final cost would be $130. allowing it to be $5 dollars less than what Orchard A would cost.

Anyone know this?need help ASAP

Answers

Answer:

45

Step-by-step explanation:

I used Toa to figure it out. First I did Tan(32) times 13 and got 45.

Juan bought a piece of lumberthat is 20 feet long.

A. Does he have enough lumber to make the six shelves? If not, how much more does he need? If so, how much will be left over?

B. Describe two ways you could find the answer to Part A.


Please help I’m having trouble on this question, do I multiply or divide?

Answers

Answer:mutiply not sure

Step-by-step explanation:

what is the slope of the line for y=-5x-12​

Answers

Answer:

slope = -5

Step-by-step explanation:

y = mx + b

m = slope

In this case m = -5

What is the perimeter of this triangle HELP!!



A-4
B-20
C-40
D-60

Answers

Answer:

60 and

x=4

Step-by-step explanation:

Find the measure of angle 4.
m∠4= ?

Answers

Answer:

38°

Step-by-step explanation:

[tex]m\angle 4 = 180° - [62\degree + (62\degree + 18\degree)] \\\\

m\angle 4 = 180\degree - [62\degree + 80\degree] \\\\

m\angle 4 = 180\degree -142\degree \\\\

m\angle 4 = 38\degree \\\\

[/tex]

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