The school that Shawna goes to is selling tickets to a spring musical. On the first day of ticke sales the school sold 7 adult tickets and 7 student tickets for a total of $91. The school took ir $170 on the second day by selling 14 adult tickets and 12 student tickets. Find the price of an adult ticket and the price of a student ticket.​

Answers

Answer 1

Answer:

price of an adult ticket = a = $7

price of a student ticket = s = $6

Step-by-step explanation:

price of an adult ticket = a

price of a student ticket = s

7a + 7s = 91 (1)

14a + 12s = 170 (2)

Multiply (1) by 2

7a + 7s = 91 (1) × 2

14a + 14s = 182 (3)

14a + 12s = 170 (2)

Subtract (2) from (3) to eliminate x

14s - 12s = 182 - 170

2s = 12

s = 12/2

s = 6

Substitute s = 6 into (1)

7a + 7s = 91 (1)

7a + 7(6) = 91

7a + 42 = 91

7a = 91 - 42

7a = 49

a = 49/7

a = 7

price of an adult ticket = a = $7

price of a student ticket = s = $6


Related Questions

If a1=10 and an An-1 + 4 then find the value of
05.

Answers

Answer:

26

Step-by-step explanation:

Just put n = 5 and substitute

Then a5 = a4 + 4 = a3 + 8 = a2 + 12 = a1 + 16 = 26

Simplify:............​

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[tex] - \frac{4 {m}^{2} }{1 + {m}^{4} + {m}^{8} } [/tex]

is your answer

Answer:

jshdgdhdhdhdhdhdhd English project work

Someone help me please-

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Answer:

Rectangle 11.59 sqft

Rectangle 36 sqft

Polygon 47.59 sqft

Step-by-step explanation:

Calculate the curved surface area of a cylindrical container 10cm diameter, length 18cm take the value of pie to 3.14

Answers

Answer:

56.52 cm^2

Step-by-step explanation:

curved surface area = 2πrh

the diameter is the straight line that passes through the centre of a circle and touches the two edges of the circle.

A radius is half of the diameter

10 / 2 = 5

2 x 3.14 x5 x 18 = 56.52 cm^2

Dont answer this question if you dont know the answer

Answers

Answer:

C

Step-by-step explanation:

sin = 5/13

cos = 12/13

tan = 5/12

A group of children bought 3 presents that cost $W each and a card that cost $200. The children shared the total cost equally. Express the amount of money each student paid in terms of W

Answers

Answer:

Amount of money paid by each student is equal to [tex]\$3W+\$200[/tex]

Step-by-step explanation:

Given: A group of children bought [tex]3[/tex] presents that cost [tex]\$W[/tex] each and a card that cost [tex]\$200[/tex].

To find: amount of money each student paid in terms of [tex]W[/tex]

Solution:

Cost of each present [tex]=\$W[/tex]

Cost of [tex]3[/tex] presents [tex]=\$3W[/tex]

Cost of a card [tex]=\$200[/tex]

Therefore,

Amount of money paid by each student in terms of [tex]W[/tex] = Cost of [tex]3[/tex] presents + Cost of a card

[tex]=\$3W+\$200[/tex]

what is the problem??​

Answers

Answer:

there is none

Step-by-step explanation:

How do you know if something is congruent? (scale Factors)

Answers

example: Two polygons are congruent if they are the same size and shape - that is, if their corresponding angles and sides are equal.

Answer:

Two polygons are congruent if they are the same size and shape - that is, if their corresponding angles and sides are equal. Move your mouse cursor over the parts of each figure on the left to see the corresponding parts of the congruent figure on the right.

Step-by-step explanation:

I need help asap !!!!

Answers

Answer:

C

Step-by-step explanation:

Pythagorean theorem = a² + b² = c²

Answer:

C.

Step-by-step explanation:

Pythagrean Theorem is on C

plz help and no spam plz. A large university accepts 60% of the students who apply. Of the students the
university accepts, 35% actually enroll. If 10,000 students apply, how many actually enroll?

Answers

2,600 students actually enroll.

Answer:

2100

Step-by-step explanation:

60%=0.6

35%=0.35

0.6*0.35=0.21

0.21*10000=2100

6 times the dierence of d and 5

Answers

Answer:

6(d - 5)

Step-by-step explanation:

The difference of d and 5 represents (d - 5)

Multiply that by 6 to get 6(d - 5)

Tapanga drew triangle XYZ on her paper the measure of angle X was 80 degrees angle y was congruent to angle Z what was measure of angle Z

Answers

Answer:

50degrees

Step-by-step explanation:

The sum of angle in the triangle XYZ is 180degrees, hence;

<X + <Y + <Z = 180

Given

m<X = 80degree

m<Y = m<Z

Required

m<Z

Substitute the given angle

80 + m<Z + m<Z = 180

80 + 2m<Z = 180

2m<Z = 180 - 80

2m<Z = 100

m<Z = 100/2

m<Z = 50degrees

Hence the measure of angle Z is 50degrees

A grocery store sells a bag of 5 oranges for $3.10. If Ishaque spent $2.48 on oranges, how many did he buy?

Answers

4 Oranges, 310 divided by 5= 64, 64 times 4=248.

A sphere has a surface area of 196 pi. What is the radius of the sphere?


r = 7


r = 14


r = 65.33


r = 12.12

Answers

R=12.12 is the answer

Hiii, I would love it if you can help me with these! I tried my best but it's really hard and I don't understand.

Answers

Answer:

First one i think is C and the second one is A it was easy

Step-by-step explanation:

Help needed for some geometry

Answers

In order to create a line parallel to line “I”, rotate line “I” 180° about points “F”. This can be done clockwise or counterclockwise.

Answer:

hope this help you. look it once.

A bar of soap is shaped like a right rectangular prism. The base is a rectangle that is 12 centimeters by 2 centimeters. The height is 3 centimeters. A second bar of soap is shaped like a square pyramid with the same volume as the first bar of soap. Each side of the base of the pyramid is 6 centimeters in length. What is the height of the pyramid?​

Answers

Answer:

6 cm

Step-by-step explanation:

Volume of a Prism = base area x height =

Base area = length x width =  12 x 2 = 24 cm^2

Volume = 24 x 3 = 72 cm^3

Volume of a pyramid = 1/3( l x w x h)

72 = 1/3( 6x6 x h)

Multiply both sides of the equation by 3

216 = 36 x h

divide both sides by 36

h = 6

M050052E4) Um supermercado vende garrafas com água mineral contendo 1,5L cada.

Qual é a quantidade de água, em mililitros, contida em cada uma dessas garrafas?
1,5mL
15mL
150mL
1500mL

Answers

1500mL te lo explico 1 L = 1.000 cm³
então
1,5 L = 1,5 . 1000 = 1.500 cm³
...
1 L = 1.000 ml
então
1,5 L = 1,5 . 1000 = 1.500 ml
Resolvendo (por "regra de 3"):
1 L → 1000 cm³
1,5 L → x cm³
x . 1 = 1,5 , 1000
x = 1.500 cm³
..
1 L → 1000 ml
1,5 L → x ml
x . 1 = 1,5 . 1000
x = 1500 ml

the area of a square is 144 square centimeters. What is the length of one side of the square? pls help its on khan

Answers

12cm

have an amazing day <3

can someone help me asap​

Answers

Answer:

a) hundreds

b) tens

c) hundreds

d) hundreds

Answer:

This is easy!!

Step-by-step explanation:

1. hundreds

2. tens

3. hundreds

4. hundreds

Hope this Helps!!

Someone please help me I’ll give out brainliest please dont answer if you don’t know

Answers

Answer:

see explanation

Step-by-step explanation:

j - 4 ≤ 0 ( add 4 to both sides )

j ≤ 4

The graph has a closed circle at 4 on the number line with the arrow pointing left

Malik is solving the equation x2 – 10x – 11 = 0 using the complete the square method. Here is Malik's work: Line 1 p^2 -10p-11=0 Line 2 p^2 -10p+25=11+25 Line 3 (p-5)^2 =36 Line 4 p-5=36 or p-5=-36 Line 5 p=41 p=-31 Line 6 the solution is p=41 or p=-31 Malik checks his answer and realizes he has made a mistake. On which line did Malik make his mistake? Explain Malik's mistake using the complete the square method in 1-3 complete sentences.

Answers

Completing the square method rearranges the equation to have the

square of linear equation and constant on both sides of the equation.

Responses:

The mistake is made in line 4The mistake is in not taking the square root of both sides

Which is the correct completing the square method?

The given equation is; x² - 10·x - 11 = 0

Line 1: p² - 10·p - 11 = 0

Which gives;

p² - 10·p = 11

Adding 25 to both sides gives;

Line 2: p² - 10·p + 25 = 11 + 25

11 + 25 = 36

Factorizing p² - 10·p + 25 = (p - 5)·(p - 5)  = (p - 5)²

Line 3: (p - 5)² = 36

Which gives;

p - 5 = ±√36

Line 4: p - 5 = √36 = 6 or p - 5 = -√36 = -6 (Line that has a mistake)

Line 5: p = 6 + 5 = 11, or p = -6 + 5 = -1

Line 6: p = 11 or p = -1

The line Malik made a mistake is on line 4

The mistake made is that in line 4, the root of both sides of the equation, rather than only the left side of the equation is to be taken.

The constant on the left and side is then subtracted from the positive

and negative value of the square root of the right hand side to give two

results.

Learn more about completing the square here:

https://brainly.com/question/3939104

given 2x - 9y - 12 = 0, express 5x - 4y + 7 = 0 in terms of x only

Answers

Answer:

[tex]4 \frac{1}{9}x[/tex] + [tex]12\frac{1}{3}[/tex] = 0

Step-by-step explanation:

Based on 2x - 9y - 12 = 0

-9y = 12 - 2x

9y = -12 + 2x

y = [tex]-1\frac{1}{3} + \frac{2}{9} x[/tex]

Therefore...

5x - 4y + 7 = 0

5x - 4([tex]-1\frac{1}{3} + \frac{2}{9} x[/tex]) + 7 = 0

5x + [tex]5\frac{1}{3}[/tex]  - [tex]\frac{8}{9} x[/tex] + 7 = 0

[tex]4 \frac{1}{9}x[/tex] + [tex]12\frac{1}{3}[/tex] = 0

pleasee help, thank you so much

Answers

Answer:

-2

Step-by-step explanation:

Use the slope formula when given two points

Slope formula = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

( the x and y values are determined by the given points )

Given the points ( 0 , 5 ) and ( 1 , 3 )

Plug in the x and y values of the given points into the formula

( remember y values on top x values on bottom )

[tex]slope=\frac{5-3}{0-1} \\5-3=2\\0-1=-1\\slope=\frac{2}{-1} =-2[/tex]

Hence, the answer is D

Solve the inequality 4x -5 greater than or equal to 7

Answers

Answer: x greater than or equal
to 3.
Explanation: Add 5 on both sides and then after divide 4 on both sides. The sign stays the same.

Please help. I will give brainliest.

Answers

Answer:

e

Step-by-step explanation:

HELP!

The length of a rectangle is 6 cm longer than its width.

The area of the rectangle is 135 cm².

What is the width of the rectangle?

Enter your answer in the box.

Answers

Answer:

length= 6x

width= x

AREA= 135

solution

AREA = length times width

135 = 6x multiplied by x

135=6x^2

x^2 as subject of formula

x^2=135/6

x^2=22.5

square root both sides

x=4.74

width = 4.74

Answer:

9

Step-by-step explanation:

answer this question for 30 points and brainilest

Answers

Answer:

Volume of left side cylinder will be less than the volume of right side cylinder.

Step-by-step explanation:

Volume of a cylinder is given by the formula,

Volume = πr²h

Here, r = radius of the circular base

h = Height of the cylinder

Volume of the left hand cylinder = π(b)²a

Volume of the right hand cylinder = π(a)²b

It's given in the question that a > b

Let the value of a = 3 and b = 2

Then the volume of left hand cylinder = π(2)²(3)

                                                               = 12π

Similarly, volume of right hand cylinder = π(3)²(2)

                                                                 = 18π

Therefore, volume of left side cylinder will be less than the volume of right side cylinder.  

What would be the perimeter??

Answers

Answer:

19.2

Step-by-step explanation:

4.8 x-4 = 19.2 meters

Answer:

19.2

Step-by-step explanation:

4.8 x 4

Jay took a number n and increased it by 25%. Then, he doubled the resulting product.
Which of the following is equivalent to these two steps and would result in the same final number?


A. doubling the number and then decreasing the result by 25%

B. increasing the number by 50%

C. multiplying the number by 1.25

D. multiplying the number by 2.5

Answers

Answer: multiplying the number by 2.5

Your answer

Step-by-step explanation:

Jay took a number n and increased it by 25%. This will be:

= n + (25% × n)

= n + (0.25 × n)

= n + 0.25n

= 1.25n

Then, he doubled the resulting product. This will now be:

= 2 × 1.25n

= 2.50n

Therefore, the equivalent will be option D "multiplying the number by 2.5".

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