A group of pupils calculated their average score for a Mathematics
test. If one of them scored 9 marks more, their average score would
be 81. If one of them scored 3 marks less, their average score would
be 78. How many pupils were there in the group?

Answers

Answer 1

Answer: 4

Step-by-step explanation: +9-(-3)=12

81-78=3

so 12/3=4


Related Questions

Complete the third step to solve the equation.

3 + 2x = -6x + 4

1. Isolate the variable term on one side: 3 + 8x = 4

2. Isolate the constant on the other side: 8x = 1

3. Solve for x: x =

Answers

Step-by-step explanation:

8x = 1

x = 1/8

So x = 1/8 is the correct answer

X equal one over eight

Solve the inequality p+4<-24

90 POINTS

Answers

Step-by-step explanation:

p+4<-24

collect like terms

p<-28

[tex]\\ \rm\Rrightarrow p+4<-24[/tex]

[tex]\\ \rm\Rrightarrow p<-24-4[/tex]

[tex]\\ \rm\Rrightarrow p<-28[/tex]

So

[tex]\\ \rm\Rrightarrow p\in (-\infty,-28)[/tex]

help please i made it worth a lot of points

Answers

Answer:

[tex] \dfrac{4m^2n}{3p} [/tex]

second choice

Step-by-step explanation:

Deal with the numbers first, then with each set of equal variables.

Use the rule a^m/a^n = a^(m - n)

4/3 cannot be reduced, so the number part remains 4/3.

m^4/m^2 = m^2

n^3/n^2 = n^1 = n

p^3/p^4 = p^-1 = 1/p

Now put it all together:

[tex] \dfrac{4m^2n}{3p} [/tex]

second choice

[tex]\\ \sf{:}\longrightarrow \dfrac{4m^4n^3p^3}{3m^2n^2p^4}[/tex]

a^m/a^n=a^m-n

[tex]\\ \sf{:}\longrightarrow \dfrac{4}{3}m^{4-2}n^{3-2}p^{3-4}[/tex]

[tex]\\ \sf{:}\longrightarrow \dfrac{4m^2np^{-1}}3}[/tex]

[tex]\\ \sf{:}\longrightarrow \dfrac{4m^2n}{3p}[/tex]

Find the slope of the line that passes through the pair of points (4,3) (-1,6)

Answers

Answer:

-3/5

Step-by-step explanation:

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

m=(6-3)/(-1-4)

m=3/(-5)

m=-3/5

Compare the proportional relationships. Which represents the greatest price per pound for walnuts?

Answers

Answer:

the table which is the second choice

Step-by-step explanation:

Option A:

1.5 lb bag for $12.99

unit price: $12.99/(1.5 lb) = $8.66/lb

Option B:

unit price: $2.8/(0.2 lb) = $14/lb

Option C:

For the weight of 1 lb, the cost is $10.

unit price: $10/lb

Answer:

the table which is the second choice

How much money should be invested every quarter at 9% per year, compounded quarterly, in order to have $3000 in 8 years? (Round your answer to the nearest cent.)

Answers

Answer:

Step-by-step explanation:

$6,146.76.

How can one determine the number of x-intercepts of the graph of a quadratic function without graphing the function?

Answers

Answer:

The easiest method is to find the x-intercepts of the quadratic function by substituting y=0 in the function and solving it to find the possible values of x. The number of all possible values of x is the number of x-intercepts of the graph.

Coffee is priced at 6.63

Answers

Answer:

ok, anddddd???

Step-by-step explanation:

According to the distributive property, 6(a + b) = ma ​

Answers

Answer:

6a+6b=ma

?? Not 100% sure, so have someone else answer please too

which of the following angle measure combinations will form a triangle?

A. 47° degrees, 63 degrees, and 70 degrees

B. 160 degrees, 50 degrees, and 150 degrees

C. 90 degrees, 1 degrees, and 88 degrees

D. 182 degrees, 1 degrees, and 2 degrees

Answers

The answer is 182 , 1 , 2 degrees

Help I’m so confused

Answers

Answer:

5x: linear; monomial

-7: constant; monomial

x^2 + 4: quadratic, binomial

x^2 - 3x + 11: quadratic, trinomial

2x - 9: linear, binomial

Step-by-step explanation:

Name using degree: just count the highest number of variables in a single term. if it's 0, its a constant polynomial, if it's 1 it's linear, 2 quadratic, 3 cubic

Name using number of terms: just count the number of "things" added or subtracted. If there's one, it's a monomial, two: binomial, three: trinomial.

Maplewood Furniture Store is having a sale on dining room furniture. When a customer purchases a set of dining chairs, a one-time discount of $55 is applied to the total. During the sale, Rhianna buys a set of 6 chairs that match the table she inherited from her grandmother. Rhianna pays $455 in all. Which equation can you use to find the regular cost, c, of each chair? ( ANSWERS 6c - 55 = 455, 55(c - 6) = 455, 55c - 6 = 455, 6(c - 55) = 455,) What is the regular cost of the chair

Answers

Answer:

$85 per chair

Step-by-step explanation:

add the discount (55) to the total amount paid (455).

you should get 510

after this, divide 510 by 6 (because 6 chairs), and you should find that each chair costs $85

At the end of the Crimson Comet's soccer season, Coach Jackson hosted a party for the players. He had 20 players on his team and ordered enough extra large pizzas for each player to eat 3 slices. Extra large pizzas have 10 slices each and cost $17. How much did all the pizzas cost?

Answers

Answer:

correct answer is explained in the picture attached (tap on the image to view it fully)

A small tree was planted at a height of 8 feet. The tree has been planted for 15 months, and is now 50 feet tall. Which equation could be used to find x, the average number of feet the tree grew each month?

Answers

Answer:

y=42/15x+8

Step-by-step explanation:

We can get the change in height with 50-8, or 42. Now we divide, so 42/15. I'm assuming this is a slope question, so it would be y=42/15x + 8. Let me know if this is the way you want the answer.

Answer:

x=8+(number of feet/number of months)

Step-by-step explanation:

12 - (8x - 20) < 12
Plz answer question

Answers

[tex]12 - (8x - 20) < 12 <=> 12- 8x+20<12<=> -8x <12-20-12 \\<=>-8x <-20<=>8x>20<=>x>\frac{20}{8}=\frac{5}{2}[/tex]

ANSWER: x > 5/2

Ok done. Thank to me :>

Answer:

[tex]x = \frac{5}{2} [/tex]

Step-by-step explanation:

12-(8x-20)<12

12-8x+20<12

-8x<12-12-20

-8x<-20

divide both by negetive 8

x>5/2

x> 2.5

How old would u be if you was born in 1475 and died in 1946

Answers

Answer: 471 years old

Step-by-step explanation:

1946-1475= 471

When will Road to a killcam 100 come out?

Answers

Answer:T he first season of Black Ops Cold War has been underway for almost a month now. The game has been having great success since it released back in November. One aspect of the multiplayer that a lot of players were disappointed with, was the lack of a final killcam.

Step-by-step explanation:

Answer:

The final Killcam is a Call of Duty staple. Every player in the game can see who got the final elimination of the game, and how they did it. The randomness is part of the fun; sometimes you’ll see an insane 360 Tomahawk kill, or you can have a good laugh at someone missing all of their shots before finally getting the elimination.

However, Black Ops Cold War has opted for a ‘Best Play’ system. Most of the time, you’ll see someone get a multi-kill from some point in the match. While you do often see impressive plays, the fun randomness element is mostly taken out and this has had a negative impact on Search and Destroy.

A Treyarch developer has now confirmed that they will be adding the final Killcam system to Cold War’s S&D in the future.

Jack’s school bag contains 8 books each of weight 3/8 pounds, and 6 folders of weight 1/2 pound. b) What fraction of the total weight is folders?

Answers

Answer:

3/6

Step-by-step explanation:

Answer:

3/6 é a resposta tabom me de coraçãozinho

If 2 people can paint 2 fences in 5 hours, how many hours in all will it take for 8 people to paint 8 fences.

Answers

Answer:

I believe that it would take 5 hours for 8 people to paint 8 fences.

Step-by-step explanation:

If 2 people are painting 2 fences in 5 hours, then 8 people can also paint 8 fences in the same time because each person is painting one fence. It take 5 hours to paint 1 fence if 1 person is painting it. The same goes for 2 or 8 people painting the same amount of fences as there are people. Im not 100% sure if this is accurate but I hope it helps.

Wärmelehre - German
20 Words

Answers

Answer:

Step-by-step explanation:

a steel batch of t = 830 c is quenched in an oil bath (mol = 450kg / tol = 20c). What is the maximum mass of steel in kg allowed in the batch. Have the oil not heated up to more than 30 c?

useful data: ol c = 1.8kj / (kg.K)

steel: c = 0.49kj / (kg.K m steel =         kg

A typical tip in a restaurant is​ 15% of the total bill. If the bill is ​$90​, what would the typical tip​ be?

Answers

Answer:

Step-by-step explanation:

Let the tip be x.

You have to take 15% of 90 to get x.

The equation looks like

15/100 * 90 = x         Multiply the numerator of the fraction by 90

1350/100 = x            Divide by 100    

x = 13.50

So the tip is 13.50

There are other ways you could do this problem, but I think this is the most easily understood.

Question:-

A typical tip in a restaurant is 15% of the total bill. If the bill is $90, what would the typical tip be?

Answer:-

$13.50

Explanation:-

Let the tip be x.

→ x = [tex] 90 \times \frac{15}{100} [/tex]

→ x = [tex] \frac{1350}{100} [/tex]

→ x = $13.50

A bag of mixed nuts has 14 almonds, 12 cashews, and 18 peanuts. If one nut is selected, what is the probability that a peanut is chosen?

Provide the answer as a simplified fraction.

Answers

18 / 44 = 9 / 22

There are 44 nuts in the bag, and 18 of them are peanuts. If you simplify the fraction, you get 9/22 chance of getting a peanut.

Answer:

9 / 22

Step-by-step explanation:

combine 14, 12, and 18

=44

then, divide 18 by 44

then you get 9 / 22

HELPPPP?
find the concentration of sugar in the tank after 10 minutes.​

Answers

Answer:

C(t) = 6/55

Step-by-step explanation:

Given:

t = 10

Work:

[tex]C(t)= \frac{4 +2t}{120+10t} \\\\C(t)= \frac{4 +2(10)}{120+10(10)}\\\\C(t)= \frac{4 +20}{120+100}\\\\C(t)= \frac{24}{220}\\\\C(t)=\frac{6}{55}[/tex]

y= 3/4x + 3 Find the y and x intercept

Answers

[tex]y - intercept = 3[/tex]

[tex]x - intercept = - 4[/tex]

which of the following represents an arithmetic sequence with a common difference of -8.5?​

Answers

Answer:

C

Step-by-step explanation:

to have a common difference of -8.5, the sequence has to consistently go down by 8.5.

in the first one, y would go up by 2 every time x goes up by 1, so its not that one.

in the second one, it does go down by 8.5 the first time but the next time it goes down by 4.25, so it's not consistent.

in the third one, each time it goes down by 8.5 so this is the answer.

the fourth one also isn't correct because the graph shows that it is going up, so you know for sure it's not that one.

What are the first five terms of the arithmetic progression with the first term 8 and common difference 7 , then find the 17th?.

Answers

Step-by-step explanation:

a1 = 8

a2 = 8 + 7 = 15

a3 = 15 + 7 = 22

a4 = 22 + 7 = 29

a5 = 29 + 7 = 36

an = an-1 + 7 = a1 + 7×(n-1)

a17 = 8 + 7×16 = 8 + 112 = 120

The population of a city has increased by 15% since it was last measured if the current population is 43700 what was the previous population?

Answers

Answer:

37,145

Step-by-step explanation:

43,700×15%= 6,555

43,700-6,555= 37,145

the previous population was 37,145

Which function is graphed below?

Answers

Answer:

y=arcsec(x) (C)

Step-by-step explanation:

The graph of y=arcsec(x) is equal to the graph shown in the question

Can someone please give me the answers for both I will mark u brilliant. asp I need answers for both questions

Answers

so 7 x 5.5 = 35.5,

250 x 5.5 = 1375

1/5 of 1375 = 275

2/5 = 550, 3/5 = 825

he spent 825

90.8 is 39% of what?

Answers

Answer:

232.820513

Step-by-step explanation:

Let the number you are looking for is x,

equation,

90.8 * x = 39

90.8/39 = 2.32820513

Now we multiply 100 because we are dealing with percentages so,

2.32820513 * 100 = 232.820513

So, the answer is 232.820513

Hope this helps! Good luck to everyone!

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