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

Answer:

5

Step-by-step explanation:

3*4=12

4*3=12

6*2=12

but 12 is not factor of 5

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.

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]

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.

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

#SPJ6

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

Answer:

Step-by-step explanation:

I actually don't know tttttttttttþyyyyyyyyyttyyytrreeeee

Answer:

4

Step-by-step explanation:

36/9

= 4

Answer:

yes get those raisins taylor

Step-by-step explanation:

woo! go taylor

Answer:

x = 8.7

Step-by-step explanation:

Use the formula

[tex]a^{2} +b^{2} =c^{2} \\x^{2} +11^{2} =14^{2} \\\\x = 8.660[/tex]

Answer:

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

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!!!

hope you understand.....

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.

Answer:

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

slide right 2 and down 3

OPTION B is the correct answer.

Answer:

36.5 mm²

Step-by-step explanation:

7.3 * 5 = 35 + 1.5 = 36.5 mm²

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

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]

Answer:

840

Step-by-step explanation:

600×140% =840 hope this helps

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

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.

Hope this helps! :)

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

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]

Answer:

683.90

Step-by-step explanation:

562.55

+121.35

683.90

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.