A school allots £3000 to spend on a trip to the theatre. Theatre tickets have a regular cost of £40 each and are on offer for 1 5 off. A train ticket for the day will cost £20 each. If 3 teachers and the maximum number of students attend, how much money will the school have left over?

Answers

Answer 1

Answer:

£36

Step-by-step explanation:

From the question, we are told that School allots £3000 to spend on a trip to the theatre. With regular cost of tickets of £40 each with offer for 1/5 off

Then the cost of each ticket with 1/5 off= (4/5×40)= £32

From the question, A train ticket for the day will cost £20 each.

Then total cost for each of it = £32+£20

=£52

To determine how much money that the school will have left over, If 3 teachers and the maximum number of students attend, can be expressed below by first calculating the number of students.

Let us denote the number of students as "x"

52(x+3)= < 3000

52x + 156 =< 3000

52x =< 3000 - 156

52x =< 2844

X =< 2844/52

s =< 54.69,

The max. Number of students is 54

Total number of people= Number of students + the 3 teachers

= 54+3= 57

Total cost for 57 people= (£52 × 57 people)= £2964

The amount of money the school will have as left over = (£3000 - £2964)

= £36


Related Questions

y = 2x - 3
y = 2x + 1

Answers

Answer:

No solution.

General Formulas and Concepts:

Algebra I

Solving systems of equations by graphing

Step-by-step explanation:

If the lines are parallel, they will have no solutions.

If the lines are the same, they will have infinite solutions.

If the lines are anything else, they will usually have 1 solution.

If we graph the systems of equations, we see that the lines are parallel.

∴ the systems has no solution.

YOU GUYS ARE MEAN! AND AREN’T HELPING ME AND IM WILLING TO GIVE 40POINTS! LOOK AT THE PICTURE ATTACHED!

Answers

Answer:

[tex]x = 5[/tex]

Step-by-step explanation:

[tex] {2}^{2x - 3} + 52 = 180[/tex]

[tex] {2}^{2x - 3 } = 128[/tex]

[tex] {2}^{2x - 3} = {2}^{7} [/tex]

[tex]2x - 3 = 7[/tex]

[tex]2x = 10[/tex]

[tex]x = 5[/tex]

If you travel at 20km/h, how long does it
take to go 40km?

Answers

Answer:

2 hr

Step-by-step explanation:

Answer:

2 hrs

Step-by-step explanation:

If you travel 20 km in 1 hour, then whats 20 x 2? 40.

Jamie burned 480 calories in an exercise
class on Monday. She took a different class
the next day and burned as many
calories as she did on Monday. How many
calories did she burn on Tuesday?

Answers

480? I mean she burned as many as Monday and Monday she burned 480..

It costs 30 dollars per month for a cell phone plus 10 dollars for every GB of data.

Which expression can be used to represent the cost of a cell phone bill when x is the number of GB of data used?


30 + 10

30 + 10

30x + 10
30, x, + 10

10x + 30
10, x, + 30

10x + 30x

Answers

Answer:

..........................

Answer:

Step-by-step explanation:

HELP MEEEEEEE PLEASE > Which set of ordered pairs is a function?
((-5,1). (-3, 2). (-1, 3), (0, 4). (3. 5)
{(-6, -4), (-4, -2), (0, o). (-4, 2). (-6,4))
((-2). (-4,2), (0. 3), (4. 1), (-2 5))
{(-1,5), (-, 4), (-1, 3), (-1, 2). (-1, )})
Done ->

Answers

Answer:

The first choice

Step-by-step explanation:

The x values do not repeat (resubmitting since a bot deleted my first answer)

y=2x+5. It says Complete the missing value in the solution to the equation. I NEED TO SOLVE FOR X

Answers

Answer: X=y/2-5/2

Step-by-step explanation:

Answer:

x=1/2y+(−5/2) or x=y-5/2

Step-by-step explanation:

Step 1: Flip the equation.

2x+5=y

Step 2: Add -5 to both sides.

2x+5+−5=y+−5

2x=y−5

Step 3: Divide both sides by 2.

2x/2=y−5/2

x=1/2y+(−5/2) or x=y-5/2

The graph shows the linear relationship between the total sales and the amount of items purchased from the local Dollar Store
Which equation best represents the relationship shown in the graph?

Answers

Answer: Y=2x+1
Explanation: The coordinates (1,3) can fit into this- 3=2(1)+1. It fits for all of the coordinates if that makes sense. Like if you fill in the x, and y it is equal. Feel free to comment questions!

Answer:

A.   Y= 2x+1

Step-by-step explanation:

The reason for this is if you use the formula Y=Mx+ b it will help you solve this question so lets say you take the points (3,1) Where the 3 is the Y value  and the 1 is the X value, so now you would show your work starting by labeling the (3,1) points and label them as their value, then write your formula Y=Mx+ b and then replace those values as 3=2(1)+1 and that equals 3.

What is the slope of the line that contains the points (-4, 2) and (6, -3)?

Answers

Answer:

-1/2 or [tex]-\frac{1}{2}[/tex]

Step-by-step explanation:

to find the slope, use the formula

(y₁ - y₂)/(x₁ - x₂)

(2 - -3)/(-4 - 6)

(2 + 3)/(- 4 - 6)

5/-10

1/-2

-1/2

Convert the following repeating decimal to a fraction in simplest form.
86

Answers

The answer is 43/50

A puppy weighs 2 7/8 pounds. Carla feeds the puppy 3 ounces of food for each pound that the puppy weighs. How many ounces of food does Carla feed the puppy?

Answers

Answer:

8 5/8 ounces

Step-by-step explanation:

Given that:

Weight of puppy = 2 7/8 pounds

Puppy is being fed 3 ounces of food for each pound it weighs

Ounces of food being fed :

1 pound = 3 ounces

2 7/8 pounds =?

2 7/8 * 3

23/ 8 * 3

= 69/ 8

= 8 5/8 ounces

2. Express each of the following as a rational number in the form of p/q
Where q≠0


Answers

Step-by-step explanation:

We need to find each of the following as a rational number in the form of p/q

(a) (3/7)²    (b) (7/9)³  (c) (-2/3)⁴

Solution,

(a) (3/7)²

[tex](\dfrac{3}{7})^2=\dfrac{9}{49}[/tex]

(b) (7/9)³

[tex](\dfrac{7}{9})^3=\dfrac{7\times 7\times 7}{9\times 9\times 9}\\\\=\dfrac{343}{729}[/tex]

(c) (-2/3)⁴

[tex](\dfrac{-2}{3})^4=\dfrac{-2\times -2\times -2\times -2}{3\times 3\times 3\times 3}\\\\=\dfrac{16}{81}[/tex]

Hence, this is the required solution.

a 10-foot by 12-foot wall has two windows that measures 3 feet by 5 feet each if the windows are not to be painted what percent of the wall will be painted in a percentage

Answers

75% of the wall will be painted. 10•12=120. (3•5)2)=30. 30/120=.25 That mean 25% of the wall is window, and 75% is paintable.

what is the formula for finding missing angles of a triangle

Answers

Answer:

Now that you are certain all triangles have interior angles adding to 180° , you can quickly calculate the missing measurement. You can do this one of two ways: Subtract the two known angles from 180° . Plug the two angles into the formula and use algebra: a + b + c = 180°

plz helpppppppppppp me asap

Answers

Answer:

x = 11,  CD = 74, DE = 74, and CE = 37

Step-by-step explanation:

9x-25 = 6x+8

3x - 25 = 8

3x = 33

x = 11

CD = 9x - 25 = 99 - 25 = 74

DE = 6x+8 = 66 + 8 = 74

CE = 10x - 73 = 110 - 73 = 37

find the base (picture attached)

Answers

Answer:

12 yd

Step-by-step explanation:

yo yo yo hi hi hi hi hi  

so b*h=96

so 8b=96

b=12

What is the volume of the figure?

Answers

Answer:

106

Explain how you found your answer:

Please I need help math

Answers

Answer

y=4

y=2x-1

Step-by-step explanation:

Y is the vertical axis

There are 100 socks in a bag. 75 out of those are blue. What is the probability of picking a blue sock randomly out of the bag.

Answers

Answer:

3/4

Step-by-step explanation:

75/100=15/20=3/4

please mark as brainliest!!!<3<3

3/4, or 0.75, or 75%

Express the following relationship as a rate.
Reading 30 pages in 10 minutes
O 30 pages per hour
O 30 pages per minute
O3 pages per minute
O 10 pages per minute

Answers

Answer: 3 pages per minute

Explanation: Thirty pages divided by 10 minutes gives you 3 pages per minute.
3 pages per min because of there being 30 pages and only 10 mins

1st min you should read pages 1,23

2nd min 4,5,6

so on and so on.

Karen recorded the numbers of people getting off her tram.
The mean number for 10 stops is 6.3.
After the tram stops at the 11th stop, the mean is 8.6.
How many people got off the tram at the 11th stop?

Answers

Answer:

32 people got off

Step-by-step explanation:

For the 10th stop, we can get the total number of people that have gotten off

Mathematically, this is the product of the mean and the number of stops

= 10 * 6.3 = 63 people

Now, for the 11th stop, the total becomes

11 * 8.6 = 94.6

Hence;

(94.6-63) = 31.6

since there are no fractional humans, the number of people getting off is 32

Please look at the snapshot and only answer if you are good at math.

Answers

Answer:

First, let's divide each term of -7b^5 + 42b^4 and 7b by 7.

(-7b^5 + 42b^4) ÷ 7b

   /7           /7         /7

Next, we use the distributive property to multiply 6b^4 - b5 by b.

b x (6b^4 - b^5)

Answer: 6b^5 - b^6

Mark Brainliest and rate excellent!

Dominique's age is 4 years less than twice brother's age b. Dominique is 12 years old. How old is her brother? Write an equation and solve using the replacement set of (6,7,8)

Answers

Answer:

8

Step-by-step explanation:

Dominique - 12

Brother- 12 / 6 * 4

12 / 6 is 2 then 2 * 4 is 8.

So her brother is 8 years old.

To prove this multiply 8 by 2 givig you 16. then 16 - 4 giving you 12. This means the answer is correct because dominique is supposed to be 4 years less than TWICE THE AGE OF HER BROTHER.

IF YOU DON'T UNDERSTAND PLEASE ASK AND I'LL GIVE YOU MORE CLARIFICATION :)

HOPE THIS HELPED

Answer:

Step-by-step explanation:

yeah 4-12x=2

so 16

What is the simplest form of this expression?
-x(4x2 - 6x + 1)

Answers

Answer:

−4x3+6x2−x

Step-by-step explanation:

(−x)(4x2−6x+1)

=(−x)(4x2+−6x+1)

=(−x)(4x2)+(−x)(−6x)+(−x)(1)

=−4x3+6x2−x

What is an equation of the line that passes through the point (–1,5) and is parallel
to the line x - y = 6?

Answers

Answer:

y = - x + 4

Step-by-step explanation:

The first step is to find the slope-intercept form, which is:

y=x-6.

Then, y=x+6

y=-x+4 should be the answer since it passes through the point (-1, 5)

Answer:

y=x+6

Step-by-step explanation:

the other guy was wrong

Which is a central idea of the article?
A. Congress passed the Fair Labor Standards Act to protect young workers.
B. Hundreds of thousands of kids work long hours under dangerous conditions on U.S. farms.
C. Reyes has been working on farms in Michigan since he was 9 years old.
D. Worldwide, about 152 million kids ages 5 to 17 are child laborers.

Answers

Answer:

a is the right answer Congress passed the fair labor standards act to protect young workers

Only answer if it's 1000000000% Correct UwU
If the cost of a bat and a baseball combined is $1.10 and the bat costs $41.00 more than the ball, how much is the ball?

Answers

it is 5 cents :v

Cause I said so

Answer:

5 cents

Step-by-step explanation:

heres what i needed help on

Answers

Answer:

1. 6000

2. 40.83%

3. 51.67%

4. misc

Step-by-step explanation:

1 add all the numbers together

2 divide payroll amt by entire amt

3 add the rent and inventory then divide by total spent in the month

4 300/6000= .5 ( which in percent form( multiply by 100) equals 5%)

what is the equation in slope intercept form of a line that has a slope of -1/2 and a y intercept of 6?​

Answers

Answer:

y=-1/2x + 6

Step-by-step explanation:

I can't see the picture because it is blurry but i got y=-1/2x + 6

Algebra

Please help me

Answers

Answer:

Step-by-step explanation:

3)  slope is rise over run.. look at the graph and count

from the dot  rise=4 run=2    4/2 =   2  slope of 3) is 2

4) rise = -3  run =1    slope of 4) is -3

5) rise =1  run =2    slope of 5) is  1/2

6)  rise = ∞  run = 0  slope of 6) is  undefined

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