A school sold a total of 250 tickets to a show. Adult tickets cost $7.25 and student tickets cost $5.50. At the end of the evening the amount of money
collected was $1,602.50. Write and solve a system of equations to determine the number of student tickets sold
В І ца
7.25x+5 5y=1,602.50
1 / 10000 Word Limit

A School Sold A Total Of 250 Tickets To A Show. Adult Tickets Cost $7.25 And Student Tickets Cost $5.50.

Answers

Answer 1

Answer:

The system of equations is:

x + y = 250                         (1)

7.25x + 5.50y = 1602.50   (2)

with x = Adult tickets

       y= student tickets

Solution

Let's equation (1)

x+y=250

x=250-y (a)

subtitute x in aquation (2)

7.25(250 - y) + 5.50y=1602.50

1812.50 - 7.25y + 5.50y= 1602.50

1812.50 -1.75y = 1602.50

-1.75y = 1602.50 - 1812.50

-1.75y = -210 ↔multiply both sides by (-1) to remove the minus sign

y= 210/1.75

y= 120

Substitute y in equation (1)

x + 120 = 250

x= 250 - 120

x =130

Let's check our results in equation (1)

x + y =250

120 + 130= 250 ↔ 250 = 250

At the end of the evening they 120 students tickets and 130 adults tickets

Step-by-step explanation:

You can check the results in any of the equations


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Work out the area of a rectangle with base,
b= 7.3mm and height,
h= 5mm

Answers

Answer:

36.5 mm²

Step-by-step explanation:

7.3 * 5 = 35 + 1.5 = 36.5 mm²

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6. Suppose Daniel decides to cheat and makes up 6 numbers. He writes down
2, 4, 12, 18, 19, and 25. In order for the rest of his project to correctly
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PLEASE SOMEONE HELP IM IN NEED

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Answer:

he would have to change 19 and 25 because they dont match the rest of the numbers because they are odd numbers.

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OPTION B is the correct answer.

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what will be the index of 2 for its value equal to 1/2​

Answers

Answer:

the index of 2 is -1

Step-by-step explanation:

[tex]2^{-1}[/tex]

=[tex]\frac{1}{2^1}[/tex]

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

Find the surface area of a cube shaped jewelry gift box with a side length of 7 meters use 6s 2 to help


A.147 square centimeters

B.441 square centimeters

C.686 square centimeters

D.294 square centimeters

Answers

Answer:

Option D is correct.

Step-by-step explanation:

Given, the side of a cube is 7 cm.

Total surface area of cube side = [tex]6 {s}^{2} [/tex]

[tex] = 6 \times 7 \times 7[/tex]

[tex] = 294[/tex]

∴ the total surface area of cube is [tex]294 {cm}^{2} [/tex]

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How many cubic centimeters are in a rectangular prism with a length of 3, a width of 3 and a height of 4

Answers

Answer:

I think it would be 36, if you use Area=Length×Width×Height

There is no solution to the following system of equations.

x < 3
y > 3

True
False

Answers

Answer:

True

Step-by-step explanation:

We are given that system of equation

x<3

y>3

We have to find that there is no solution of system of equation is true or not.

First we change inequality equation into equality equation

x=3

y=3

When x=0

0<3

It is true equation therefore, the shaded region towards the origin.

When y=0

0>3

It is false equation. Therefore, the shaded region above the origin.

From the graph

There is  no solution of system of equation.

Hence, option true is correct.

The cost per person to rent a mountain cabin is inversely proportional (varies inversely) to the number of people who share the rent. If the cost is $36 per person when 5 people share, what is the cost per person when 8 people share?

Answers

First things first, we have to find the number of people who share a room when there is 5 people to find how much the room would cost.
First multiply 36 by 5.
36 x 5 = 180
Now that we know that the total amount of the room costs 180 we need to divide that by 8 to see how much each person would end up paying if 8 people shared a room.
180 / 8 = 22.50
So the amount each person would pay is $22.50 if 8 people shared a room.

attachment below or above

Answers

Answer:

840

Step-by-step explanation:

600×140% =840 hope this helps

To find the amount of grizzly bears there were in 1975, we are going to find 140% of 600 grizzly bears then subtract it from 600. The answer we get will be the amount present in 1975.

600 × 140/ 100 = 840 grizzly bears

840 - 600 = 240 grizzly bears

The sum of 69 and 42 is five more than the difference of 146 and a number. Calculate the value of the unknown number.

Answers

As an equation, we have:
69+42=5+(146-x)

You just have to simplify:

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x
V 10 km
V 15 km
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C) 5 km
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Answer: A V5km because you can apply the rules about Pythagorean Theorem

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Answer: -6. 4. -3,75. 37.

Step-by-step explanation: -20|+10-2²= -6, since a minus×minus give you a + therefore -2²=4.

2³+(-8)= 12-8=4, a minus×plus gives you a minus.

-2,50+(-1,25)=-2,50-1,25=-3,75. |-10|+|20|-5²-(-2)=-10+20+25+2=37.

A 2.5m long ladder leans against the wall of a building. The base of the ladder is 1.5m away from the wall. What is the height of
the wall​

Answers

Answer:

2 m

Step-by-step explanation:

The model of the situation is a right triangle with legs 1.5 and h the height of the wall. The hypotenuse is the ladder.

Using Pythagoras' identity

h² + 1.5² = 2,5²

h² + 2.25 = 6.25 ( subtract 2.25 from both sides )

h² = 4 ( take the square root of both sides )

h = [tex]\sqrt{4}[/tex] = 2

The height of the wall is 2 m

The height of the wall od the building is, 2 m.

What is Pythagoras's theorem?

In a right-angled triangle, the sum of the squares of the smaller two sides of a right-angle triangle is equal to the square of the largest side.

Given, A 2.5m long ladder leans against the wall of a building. The base of the ladder is 1.5m away from the wall.

So, Hypotenuse is 2.5 m and Adjacent is 1.5 m.

We know, H² = O² + A².

O² = H² - A².

O² = 6.25 - 2.25.

O² = 4.

O = 2.

Another concept regarding triangles is,

Suppose we have a triangle ABC, with sides a, b and c.

An acute angle triangle is one where a² + b² > c².

It is a right-angle triangle if a² + b² = c2.

It is an obtuse angle triangle if a² + b² < c².

learn more about Pythagoras' theorem here :

https://brainly.com/question/343682

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Fruntum A bucket is 20cm in diameter at the open end,12cm in diameter at the bottom,and 16cm deep. To what depth would the bucket fill a cylindrical tin 28cm in diameter?

Answers

Answer:

The depth is 5.33cm

Step-by-step explanation:

Given

[tex]D =20cm[/tex] --- diameter at open end

[tex]d = 12cm[/tex] --- diameter at bottom

[tex]H=16cm[/tex] -- depth

[tex]d_c = 28cm[/tex] --- diameter of the cylinder

Required

The depth the bucket will fill the cylinder

First, calculate the radii at the ends of the bucket

[tex]R=D/2 =20cm/2 = 10cm[/tex]

[tex]r=d/2 =12cm/2 = 6cm[/tex]

The volume of the bucket (frustum) is:

[tex]V = \frac{1}{3} \pi H(R^2 + Rr + r^2)[/tex]

[tex]V = \frac{1}{3} *\pi * 16 * (10^2 + 10*6 + 6^2)[/tex]

[tex]V = \frac{1}{3} *\pi * 16 * 196[/tex]

[tex]V = 1045.33\pi cm^3[/tex]

The volume of a cylinder is:

[tex]V = \pi r_c^2h_c[/tex]

Where:

[tex]r_c = d_c/2 = 28cm/2 =14cm[/tex]

So, we have:

[tex]1045.33\pi = \pi * 14^2 * h_c[/tex]

[tex]1045.33\pi = \pi * 196 * h_c[/tex]

[tex]1045.33\pi = 196\pi * h_c[/tex]

Make h the subject

[tex]h_c = \frac{1045.33\pi}{ 196\pi}[/tex]

[tex]h_c = \frac{1045.33}{ 196}[/tex]

[tex]h_c = 5.33[/tex]

Given that tanθ almost equal to≈ 2.773 where 0<θ<π2, find the values of sinθ and cosθ. Show work.

Answers

Step-by-step explanation:

the given data is

tanθ = 2.773 and 0<θ<π/2

this implies θ = tan inverse(2.773)

⇒ θ =  70.16°

Therefore, sinθ = sin70.16° = 0.9406

similarly,cosθ =  cos70.16° = 0.3393

therefore, values of sinθ and cosθ are  0.9406 and 0.3393 respectively.

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Answers

Answer:

23

Step-by-step explanation:

The absolute value of any number is just the positive version of that number. For example the absolute value of -12 is 12.

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Answers

Answer:

x = 8.7

Step-by-step explanation:

Use the formula

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X is 10.2 units long

HURRRYYYY I NEED AN ANSWER
Which box plot represents the data set 2, 4, 6, 8, 10, 12?
0
2
4
6
oo
10
12
0
2
4
6
8
10
12
0
2
4
6
8
10
12


Answers

Answer:

A

Step-by-step explanation:

The data set is;

2,4,6,8,10,12

For a box plot, we need five information regarding a data set;

These are;

1. The minimum value

The minimum value here is 2, so the box plot starts from here

2. The lower quartile

This is the term according to the formula;

(n + 1)/4

Where n is the number of data points which is 6

So we have;

(6 + 1)/4 = 7/4 = 1.75

Approximately this is the second term which is 4

3. The median

This is the middle number

We only need to add the third and fourth term, then divide by 2

we have this as; (6 + 8)/2 = 14/2 = 7

4. The upper quartile

It is the term according to the formula;

3(n+ 1)/4 = 3 * 1.75 = 5th term approximately

So we have it as 10

5. The maximum value

The max value here is 12

So the points on the box plot are;

2,4,7,10 and 12

So the correct plot is the first one

Taylor will need cup of raisins

Answers

Answer:

yes get those raisins taylor

Step-by-step explanation:

woo! go taylor

Please answer this fasttt

Answers

2*2*3
Ra 2*2*3*3 huncha
Hope it helps : )

Sally opened a bank account with $562.55. After receiving her first pay
check, she deposited another $121.35 into her bank account.

How much
money does Sally now have in her bank account?
$683.90
$682.90 $441.20
$442.20

Answers

Answer:

683.90

Step-by-step explanation:

562.55

+121.35

683.90

£562.55
+ £122.35

= £683.90

A petrol can is a rectangular prism with base measurements 15 cm by 30 cm. If the can has capacity 18 liters, find its height

Answers

Answer:

40cm

Step-by-step explanation:

Given data

Length= 15cm

Width=30cm

Volume= 18liters

1000cm^3= 18liters

18000cm^3= 18liters

We know that volume

Volume= L*W*h

18000= 15*30*h

18000=450h

h= 18000/450

h= 40cm

Hence the height is 40cm

CAN SOMEONE GIVE ME THE REAL ASNWER TO THIS IM IN A RUSH

Answers

Answer:

145 degrees

Explanation:

A straight line is 180 degrees so minus 180 by 35 to get 145 degrees.

Answer:

The measure of the unknown angle (n) is 145

Step-by-step explanation:

A straight line or angle is 180 degrees so if we subtract the 35 degrees from that we get 145 degrees.

I tried to explain the simplest I could so I hope you understand it.

Hope I helped!!!

PLEASE PLEASE HELP ME

Answers

Answer:

Step-by-step explanation:

I actually don't know tttttttttttþyyyyyyyyyttyyytrreeeee

A is a set of factors of 12. Which one of the following is not member of A? *
A. 3
B. 4
C. 5
D. 6​

Answers

Answer:

5

Step-by-step explanation:

3*4=12

4*3=12

6*2=12

but 12 is not factor of 5

Answer: 5
Explanation:
3x4=12
4x3=12
6x2=12
But 5 does not equal 12

36m÷9m I need this in standard form .

Answers

The answer is 4 hope this helps

Answer:

4

Step-by-step explanation:

36/9

= 4

Calcula el volumen. Largo: 50cm Largo: 35cm Largo: 40cm Ancho: 30cm Ancho: 20cm Ancho: 60cm Alto: 20cm Alto: 50cm Alto: 30cm Volumen: ___________ Volumen:______ Volumen:_______

Answers

Answer:

Volumen A = 30000 cm³

Volumen B = 35000 cm³

Volumen C = 72000 cm³

Step-by-step explanation:

a) Volumen A

Largo = 50 cm, Ancho = 30 cm Alto = 20 cm

Volumen = Largo × Ancho × Alto

= 50 cm × 30 cm × 20 cm

= 30000 cm³

b) Volumen B

Largo = 35 cm, Ancho = 20 cm Alto = 50 cm

Volumen = Largo × Ancho × Alto

= 35 cm × 20 cm × 50 cm

= 35000 cm³

c) Volumen C

Largo = 40 cm, Ancho = 60 cm Alto = 30 cm

Volumen = Largo × Ancho × Alto

= 40 cm × 60 cm × 30 cm

= 72000 cm³

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