There are 120 people in a school canteen.
Half of the people in the canteen are in year 11 students.
The number of year 11 students in the canteen is three times the number of year 10 students.
The rest of the people in the canteen are year 9 students.
the number of year 9 students : the number of year 10 students = n : 1
Work out the value of n.
You must show how you get your answer.

Answers

Answer 1

2:1

Step-by-step explanation:

List all variables

Total people=120

year 11 students=120/2=60

year 10 students=60/3=20

subtract year 10 and 11 students from the total to get the number of year 9 students

year 9 students=120-60-20

=40

year9:year10

40:20

2:1

Answer 2

Value of variable 'n' as per the given condition number of 9 year students : number of 10 year students = n:1 is equals to 2.

What is variable?

" A variable is defined as the quantity which represents the change in value  as per the given condition in a mathematical problem."

According to the question,

Total number of students in school = 120

As per the conditions given we have,

Number of 11 year students = [tex]\frac{120}{2}[/tex]

                                               = 60 people

Number of 11year students = 3 × ( Number of 10 year students)

Number of 10 year students = [tex]\frac{Number of 11 year students}{3}[/tex]

                                                   = [tex]\frac{60}{3}[/tex]

                                                   = 20 people

Number of (11year + 10year +  9year ) students  = 120  

⇒ 60 + 20 + Number of 9 year students =120                                        

Number of 9 year students = 120 - 80

                                                 = 40 people

Substitute the value in the given condition  to get the value of the variable we get,

Number of 9 year students : Number of 10 year students = n:1

⇒40 : 20 = n: 1

n = 2

Hence, value of variable 'n' as per the given condition number of 9 year students : number of 10 year students = n:1 is equals to 2.

Learn more about variable here

https://brainly.com/question/15078630

#SPJ2


Related Questions

A number w is greater than-3 ​

Answers

Answer:

w>-3

Step-by-step explanation:

solve -(-7x+9)+(3x-1)=0​

Answers

Answer: x = 1

Step-by-step explanation:

Translate point C(-1,-2) using (y,x) -> (x+3,y-5) and then reflect over the x-axis

Answers

Step-by-step explanation:

Plot the point.

-1+3=2 and -2-5=-7

this is your new plot, (2,-7)

move the dot an equal distance across the x-axis, which is up and down.

What is the intersection of plane AEH and plane EGH?

Answers

Answer:

E

Step-by-step explanation:

Hope this helped

Find the value of the expression:
x(x-y)-y(y^2-x) for x=4 and y=2

Answers

Replacing x by 4 and y by 2, it is found that the value of the expression is of 8.

The expression given is:

[tex]x(x - y) - y(y^2 - x)[/tex]

We want to evaluate it for x=4 and y=2, hence, we replace x by 4 and y by 2, then:

[tex]4(4 - 2) - 2(2^2 - 4) = 4(2) - 2(0) = 8[/tex]

The value of the expression is of 8.

A similar problem, in which the objective is finding the value of an expression, is given at https://brainly.com/question/19548262

If EF = 2x + 5 and FG = x + 9, what is EF?

Answers

Answer:

2- × 5

Step-by-step explanation:

The ratio of taxis to buses to bikes
is 12:5:18.
How many buses are there if there
are 72 bikes?

Answers

Answer:

20 buses

Step-by-step explanation:

Using the given ratio, we can see that for every 12 taxis, there are 5 buses and 18 bikes.

To get from 18 bikes to 72 bikes, we multiply by 4. Therefore, to figure out the number of buses, we multiply it by 4.

5 * 4 = 20

Hope this helps! :D

The number of purchases made on a new online store is modeled by
p(d) 15d + 45, where d is the number of days since the store opened.
The average amount spent in dollars per purchase is modeled by
s(d) = 0.15d? – 4d + 80. Write a function R(d) to model the total daily
revenue. Then predict the total amount of revenue on the 23rd day.
-

Answers

The total amount of revenue on the 23rd day is 322.65

Given the following parameters:

purchases made p(d) = 15d + 45sales made  s(d) = 0.15d² – 4d + 80

The revenue will be exprssed as:

r(d) = s(d) - p(d)

r(d) = 0.15d² – 4d + 80 - (15d + 45)

r(d) = 0.15d² – 19d + 35

Hence a function R(d) to model the total daily  revenue is r(d) = 0.15d² – 19d + 35

To get the total amount of revenue on the 23rd day, you will substitute t = 23 into the function

r(d) = 0.15d² – 19d + 35

r(23) =  0.15(23)² – 19(23) + 35

r(23) = 79.35 - 437 + 35

r(23) = -322.65

Hence the total amount of revenue on the 23rd day is 322.65

Learn more on function here: https://brainly.com/question/14307385

Please give me some help

Answers

Answer:

do it got a picture

Step-by-step explanation:

Find the median number for 10,5,7,9,18,15,17,14,16,17,15,19,5

Answers

The median is 15. When you sort the numbers from least to greatest, the number in the middle is the median.

Answer:

15

Step-by-step explanation:

The median is the "middle" number between a range of numbers. In this question, 15 is the median because is the number that is between the minimum number (5) and the maximum number (19) Hope this helps :)

hope you get it
{2x−y=4
y−x=4

Answers

Step-by-step explanation:

System of Linear Equations entered :

[1] 2x-y=4 [2] y-x=4

Equations Simplified or Rearranged :

  [1] 2x - y = 4   [2] -x + y = 4

Graphic Representation of the Equations :

y + 2x = 4 y - x = 4

Solve by Substitution :

// Solve equation [2] for the variable  y 

 

[2] y = x + 4

// Plug this in for variable  y  in equation [1]

  [1] 2x - (x +4) = 4   [1] x = 8

// Solve equation [1] for the variable  x 

  [1] x = 8 

// By now we know this much :

  x = 8   y = x+4

// Use the  x  value to solve for  y 

  y = (8)+4 = 12 

Solution :

 {x,y} = {8,12} 

(2x2 3+2)x(4x2 3-1/2)

Answers

Answer:

85.5

Step-by-step explanation:

Answer:

(2*2 3+2) * (4*2 3-1/2)

(4*5) * (8*3-0.5) = (8*2.5)

20*200

4000

Ten movie tickets cost $80. How much does a single movie ticket cost?

Answers

Answer:

$10

Step-by-step explanation:

$80 / 10 tickets = 8 per ticket

is y=3x^2+2 a linear function

Answers

Answer: No!

Step-by-step explanation: This is a parabola. The graph for this function is not straight. We can also tell this is not a linear function because the degree of the function is 2.

Hope this helps :)

No.

y = 3x² + 2 has a degree of 2. So, it'll not make a graph which is a straight line. It's NOT a linear function. Linear functions have a degree of 1 or 0.

This is a quadratic polynomial (degree = 2) & when drawn on a graph, it'll make a parabola.

_____

Hope it helps ⚜

v = 128 – 32t
v is the velocity in ft/sec. It is NOT the height of
the ball.
t is the number of seconds after the ball is
thrown.
With what initial velocity is the ball thrown?
128 seconds
s
What is the y-intercept of the equation?
IS
[ Select]
What does the y-intercept mean?
t
[ Select ]
What is the x-intercept of the equation?
[ Select]
What does the x-intercept mean?
Select]
7
10
-
-
с
80°F

Answers

Answer: The Y intercept is 128 as well, which is the original velocity. Technically it should be v - intercept but whatever. The y  / v intercept is the original velocity. The X intercept should be the t intercept but again whatever. The x/t intercept is 4, meaning that the velocity is zero when t is 4

Step-by-step explanation: y/v intercept is when t = 0. v = 128 - 32(0) = 128

It is the initial velocity at t = 0. The X/t intercept is when v = 0. 0 = 128 - 32t, so 32t = 128, so t = 4. The x intercept means when the velocity is zero, which means that the ball is at its highest/farthest point.

Parallel lines : mastery test

Answers

Answer:

I can't see much so take one more than I can help

Find the value of the variables.

Answers

Answer:

x = 90 degrees

y = 50 degrees

Step-by-step explanation:

The angle where x lies is a right angle, and right angles = 90 degrees. A triangle adds up to 180 degrees, so you add 90 and 40 together and then subtract that from 180 degrees.

List the ordered pairs

Here are the choices

Answers

It's the third option

will give brainliest plz help

Answers

4.6(if rounded) or 4.57 (if not rounded)
There are 32oz for the full week, all you have to do is divide that by 7 to find the average for each day :)

If January 20 falls on a Tuesday, then February 15 of that same year falls on which day of the week? (January has 31 days)

Answers

Answer: Sunday

Step-by-step explanation:

The 27th would be tuesday

The 3rd would be tuesday

The 10th would be tuesday

The 15th would be sunday

Identify the equation of the line graphed below. Prove by converting!

A. 2x + y = 4
B. 2x - y = 4
C. x + 2y = 8
D. x - 2y = 8

Answers

The answer is c. x+2y=8

what is the answer to -g + 2 (3 + g ) = -4 (g+ 1 )

Answers

Answer:

0

Step-by-step explanation:

........

Answer:

g=-10

Step-by-step explanation:

-g+2(3+g) = -4

-g+6+2g=-4

g=-4-6

g=-10

What’s 10^102????????€

Answers

Answer:

(2^102•5^102)

Step-by-step explanation:

(10)^102 = (2•5)^102 = 2^102 • 5^102

Here's the question. ​

Answers

Answer:

The value of T₂₀ - T₁₅ is -20.

Step-by-step explanation:

Given :

>> If for an A.P, d = -4

To Find :

>> T₂₀ - T₁₅

Using Formula :

General term of an A.P.

[tex]\star{\small{\underline{\boxed{\sf{\red{ T_n = a + (n - 1)d}}}}}}[/tex]

>> Tₙ = nᵗʰ term>> a = first term>> n = no. of terms>> d = common difference

Solution :

Firstly finding the A.P of T₂₀ by substituting the values in the formula :

[tex]{\dashrightarrow{\pmb{\sf{ T_n = a + (n - 1)d}}}}[/tex]

[tex]{\dashrightarrow{\sf{ T_{20} = a + (20 - 1) d}}}[/tex]

[tex]{\dashrightarrow{\sf{ T_{20} = a + (19)d}}}[/tex]

[tex]{\dashrightarrow{\sf{ T_{20} = a + 19 \times d}}}[/tex]

[tex]{\dashrightarrow{\sf{ T_{20} = a + 19d}}}[/tex]

[tex]{\star \: {\underline{\boxed{\sf{\pink{ T_{20} = a + 19d}}}}}}[/tex]

Hence, the value of T₂₀ is a + 19d.

[tex] \rule{190}1[/tex]

Secondly, finding the A.P of T₁₅ by substituting the values in the formula :

[tex]{\dashrightarrow{\pmb{\sf{ T_n = a + (n - 1)d}}}}[/tex]

[tex]{\dashrightarrow{\sf{ T_{15}= a + (15 - 1) d}}}[/tex]

[tex]{\dashrightarrow{\sf{ T_{15}= a + (14) d}}}[/tex]

[tex]{\dashrightarrow{\sf{ T_{15}= a + 14 \times d}}}[/tex]

[tex]{\dashrightarrow{\sf{ T_{15}= a + 14d}}}[/tex]

[tex]{\star{\underline{\boxed{\sf \pink{ T_{15}= a + 14d}}}}}[/tex]

Hence, the value of T₁₅ is a + 14d

[tex] \rule{190}1[/tex]

Now, finding the difference between T₂₀ - T₁₅ :

[tex]{\dashrightarrow{\pmb{\sf{T_{20} - T_{15}}}}}[/tex]

[tex]{\dashrightarrow{\sf{(a + 19d) - (a + 14d)}}}[/tex]

[tex]{\dashrightarrow{\sf{a + 19d - a - 14d}}}[/tex]

[tex]{\dashrightarrow{\sf{a - a + 19d - 14d}}}[/tex]

[tex]{\dashrightarrow{\sf{0+ 19d - 14d}}}[/tex]

[tex]{\dashrightarrow{\sf{19d - 14d}}}[/tex]

[tex]{\dashrightarrow{\sf{5 \times - 4}}}[/tex]

[tex]{\dashrightarrow{\sf{ - 20}}}[/tex]

[tex]{\star \: \underline{\boxed{\sf{\pink{T_{20} - T_{15} = - 20}}}}}[/tex]

Hence, the value of T₂₀ - T₁₅ is -20.

[tex]\underline{\rule{220pt}{3.5pt}}[/tex]

A group of 493 people is going on a boat tour. If each boat holds 7 people, how many people will be on the last boat?

Answers

Answer:

3 people.

Step-by-step explanation:

493÷7=70 with 3 remaining.

Why are there certain question where you multiply to a power and some you don't. Like tree diagrams. This is for probability of compound events.

Answers

Compound probabilities that required AND use multiplication

How to determine the reason?

The probability of compound events is of two types

The one that require ANDThe one that require OR

As a general rule, the AND probability require products

Take for instance

P(A and B) = P(A) and P(B)

This gives

P(A and B) = P(A) *  P(B)

So, compound probabilities that required AND use multiplication

Read more about compound probabilities at:

https://brainly.com/question/1553768

#SPJ1

solve pls brainliest

Answers

Answer:

a) 45 minutes

b) 2 miles

c) 8 miles per hour

d) 7.5 minutes per mile

Step-by-step explanation:

a) (150/20) x 6 = 45 minutes

b) (20/150)(15) = 2 miles

c) (20/150)(60) = 8 miles per hour

d) 150/20 = 7.5 minutes per mile

20 miles in 150 minutes = 20/150 miles per minute = 2/15 miles per minute

distance/speed = time

6 miles / (2/15) miles per minute = 45 -> 45 minutes

time*speed=distance

15 minutes * 2/15 miles per minute = 2 miles

Her speed, 2/15 is in miles per minute. To convert to miles per hour, you multiply by 60 (60 minutes in an hour). 2/15*60=8 miles per hour

minutes per mile = 150 minutes for 20 miles = 150/20=15/2 minutes per mile

15/2=7.5

7.5 minutes per mile

The graph shows that f(x)={is translated
horizontally and vertically to get the function

Answers

Answer: 3

Step-by-step explanation:

Please help!!! No LINKS
Solve the system of equations below by graphing both equations with a paper and pencil!!! What is the solution?!??! Use the photo below to answer the question!!

Answers

Answer:

B is the answer

Step-by-step explanation:

Answer the ones you want to. Answer at least one.

Have no idea how to do this. Please help I beg you.

Answers

Answer:

For 8 b, draw 36 squares and for 8 c, it would be 144:)

Other Questions
within a forest ecosystem, there is a large amount of diversity among members of a warbler species. of the following stages of meiosis illustrated for a typical cell, which contributes most to diversity among the warblers? There are 93 calories in 3 cups of popcorn. How many calories are in 4.5 cups of popcorn? All Gus ever wanted was to be known allover the world, but his political scandalmade him infamous,positive or negative connotation? 7. Where do the light-dependent reactions take place? What type of interest group supports causes important to most American citizens? If a chromosome folds, how is transcription prevented?Question 2 options:The DNA region is easily accessible.The DNA region is not easily accessible.The RNA region is not easily accessible.The RNA has already been made. Martin has read 40% of a book. He has 48 more pages to finish. How many pages are there in the book? 50 Point Question Answer ASAP giving brainliest What five amendments deal with the presidency and presidential elections? how many ENAJs are neither DERFs nor SIVADS? What was the result of the Webster-Ashburton Treaty of 1842 How can the Early Modern English expression "unfold yourself" be paraphrased to better understand its meaning? put your arms up turn around remove your cape explain yourself. In a market economy what directs the production of goods and services I need help, ACTUAL ANSWERS PLEASE One way that democracy expanded in the United States in the 1800s wasOA. women were given the right to vote.B. Native Americans were given the right to vote.OC. public education was established in the United States.D. African American men were given the right to vote. Which sentence best corrects the clause fragment?When Thomas got a new bike for his birthday. He gave his old bike to his little brother.Thomas gave his old bike to his little brother. When he got a new bike for his birthday.He gave his old bike to his little brother. When Thomas got a new bike for his birthday.When Thomas got a new bike for his birthday, he gave his old bike to his little brother.He gave his old bike to his little brother, when Thomas got a new bike for his birthday. Why did America focus on shipbuilding at the beginning of WWI?Couldn't find this anywhere else online, hopefully, this will help you in the future. What was the result of all the different invasions from foreign groups into Europe? *The Feudal SystemRise of DictatorshipsPeople wanted a new KingPeople fled to the Americas You have been asked to analyze the popcorn recipes of three different local theatres in order to figure out which theatre has the best popcorn. In this case, the "best" popcorn is the most buttery! In your quest to find the best, you meet with each theatre manager individually and ask for the ratio of oil to popcorn kernels that they use in their recipes. Here are their responses.The manager of Theatre A says that they usually go through about 15 cups of popcorn kernels and about 5 cups of oil each weeknight.The manager of Theatre B says that they order 18 cups of oil and 72 cups of popcorn kernels each week.The manager of Theatre C says that their concessions use 6 cups of oil and 32 cups of popcorn kernels on a busy Saturday.You also ask about the amount of salt each theatre uses in their recipe. Their responses are below.Theatre A uses 2 cups of salt for every 10 cups of oil.Theatre B uses cup salt for every cup of oil.Theatre C uses 1 cup of salt for every 6 cups of oil.For each of the following ratio problems, use a double number line or an equation to solve. Type your answers as numbers.If Theatre A uses 27 cups of popcorn kernels, how many cups of oil will they use? _____cups 2.3+0.02(x+20)-4.8=-9Solve for x