The school that Alberto goes to is selling tickets to a fall musical. On the first day of ticket sales
the school sold 6 senior citizen tickets and 2 child tickets for a total of $96. The school took in
$120 on the second day by selling 6 senior citizen tickets and 4 child tickets. Find the price of a
senior citizen ticket and the price of a child ticket.

Answers

Answer 1

Answer:

The price of both tickets is $12 each

Step-by-step explanation:

System of Equations

Let's call:

x = price of a senior citizen ticket

y = price of a child ticket.

On the first day of ticket sales, the school sold 6 senior citizen tickets and 2 child tickets for $96. Setting up the first equation:

6x + 2y = 96

Dividing by 2:

3x +  y = 48         [1]

On the second day, the school sold 6 senior citizen tickets and 4 child tickets for $120:

6x + 4y = 120

Dividing by 2:

3x + 2y = 60         [2]

Subtracting [2] and [1]:

2y - y = 60 - 48

y = 12

From [1]:

3x +  12 = 48

3x = 48 - 12 = 36

x = 36/3 = 12

x = 12

The price of both tickets is $12 each


Related Questions

Can someone plsssssss check my last geometry question
Pleaseeeeeee

Answers

Answer: 24

Step-by-step explanation: Segment CP equals half of what segment JC equals, so in order to find the length of JP, you need to multiply CP by 2, then add 8.

8(2)= 16

16+8 = 24

QUICK ANSWERS PLEASE!!!!
Find the following

Answers

Answer: Sorry I cant see the picture

Step-by-step explanation:

The picture is blurry

What kind of sequence is this? –149, 447, –894, 894, ...

Answers

Answer:

multiply by -3, multiply by -2, multiply by -1, ...

Step-by-step explanation:

A tile installer plots an irregular shape on grid paper. Each square on the grid represents 1 square
centimeter. What is the area of the irregular shape?
The area of the irregular shape is

Answers

Answer:

area of a triangle = 0.5 X base X height

0.5 X 4 X 4 = 8 cm^

area of a rectangle l X w

3 X 5 = 15 cm^

area of a parallelogram = base X height

5 X 3 = 15 cm^

add totals together

15 + 15 + 8 = 38 cm^

1. Matt painted of his room with of a gallon of paint. How much
paint will he use to paint the room?

Answers

Answer: Around two gallon cans

Step-by-step explanation:  One gallon can of paint covers up to 400 square feet, which is enough to cover a small room, like a bathroom. Two gallon cans of paint cover up to 800 square feet, which is enough to cover an average size room.

19 − x = 11.5
How do you sovle this

Answers

Answer:

7.5

Step-by-step explanation:

19-11.5=7.5

19-7.5=11.5

it works the same way around

He bought 24 packages that contained 24 packs of gum. The total price was 42$ whats the total price of gum in one pack of gum? I’m

Answers

Answer:

We conclude that:

Total price in one pack of gum = 3$

Step-by-step explanation:

Total number of packages = 24

The total number of packs in 24 packages = 24 packs

Total price for 24 packs of gum = 42$

If the total price for 24 packs of gum is 42$, then the price for 1 pack can be calculated by dividing 42 by 24.

i.e.

Total price in one pack of gum = 42/24 = 3$

Therefore, we conclude that:

Total price in one pack of gum = 3$

Stephen's watch loses time. Stephen set his watch to the correct time at 10 a.M., but noticed three hours later that it read 12:54. If Stephen does not adjust his watch, at what time on his watch should he show up at the restaurant for a 7 o' clock date with Mabel?

Answers

Answer:

6:54

Step-by-step explanation:

Correct time set = 10 am

Correct time after 3 hours = 10 am + 3 hours

= 1 pm

Steven watch after 3 hours = 12:54

This means Steven watch is 6 minutes behind the normal time

If Stephen does not adjust his watch, at what time on his watch should he show up at the restaurant for a 7 o' clock date with Mabel?

Time Stephen show up for date with Mabel = 7:00 - 6 minutes

= 6:54

You earned 90% on a science quiz. You answered 27 questions correctly. How many questions were on the test?

Answers

Answer:

There were 30 questions on the test.

Step-by-step explanation:

1. Set up your equation: 27/90 = y/100

2. Next you want to cross multiply: 2700 = 90y or 270 = 9y

3. Divide 270 by 9 to find your y: y = 30

There were 30 questions on the test.

Find the ordered pairs that solve the equation y=12

Answers

Answer:

Please check the explanation.

Step-by-step explanation:

Given the equation

y = 0.5x

when x = 12

y = 0.5 · (12)

y = 6

when x = 0

y = 0.5(0)

y = 0

when x = 8

y = 0.5(8)

y = 4

when x = 12

y = 0.5(12)

y = 6

Thus, the table is completed such as:

x             y

0             0

8             4

12           6

Therefore, the ordered pairs that complete the equation y = 0.5 x are:

(0, 0)(8, 4)(12, 6)

The graph of the equation is attached below.

photo of question attached. please help :)

Answers

Answer: C) Tracy spends $7 every 4 days

Graphing the function as well as x = 4 will show that there is a difference in the y-value of 7 between x=0 and x=4, meaning she spends $7 every 4 days.

Answer is C..........,.,.,,..,,.,.,

Which statement best explains the relationship
between lines FG and HJ?
O They are perpendicular because their slopes are
equal.
O They are perpendicular because their slopes are
O They are not perpendicular because their slopes are
O They are not perpendicular because their slopes are
negative reciprocals.
equal.
not negative reciprocals.

Answers

Answer:

they are perpendicular because they have slopes that are negative reciprocals

Step-by-step explanation:

th

The statement that best explains the relationship between lines FG and HJ is "They are not perpendicular because their slopes are not negative reciprocals."

What is a slope?

The slope or gradient of a line in mathematics is a numerical representation of the steepness and direction of the line.

If a line passes through two points (x₁ ,y₁) and (x₂, y₂) ,

then the equation of line is

y - y₁ = (y₂- y₁) / (x₂ - x₁) x (x - x₁)

To find the slope;

m =  (y₂- y₁) / (x₂ - x₁)

To find the slope of a line passing through two given points, we use the formula:

slope = (y2 - y1) / (x2 - x1)

where (x1, y1) and (x2, y2) are the coordinates of the two points.

For line FG, the two points are F(-4, 1) and G(0, -2):

slope of FG = (-2 - 1) / (0 - (-4)) = (-2 - 1) / 4 = -3/4

For line HJ, the two points are H(-4, -2) and J(0, 4):

slope of HJ = (4 - (-2)) / (0 - (-4)) = 6/4 = 3/2

The slopes of lines FG and HJ are not equal. However, we can see that they are not negative reciprocals of each other:

slope of FG = -3/4

slope of HJ = 3/2

Therefore, lines FG and HJ are not perpendicular because their slopes are not negative reciprocals of each other.

To learn more about the slope;

brainly.com/question/3605446

#SPJ7

what is 5 + 5 times 10 divide by 2

Answers

Answer:

50

Step-by-step explanation:

5+5 = 10

10 × 10 = 100

100 ÷ 2 = 50

In Tyrel's fruit basket for every 3
apples there are 7 pears. What is the
number of pears in Tyrel's fruit
basket if there are 9 apples in the
basket?

Answers

Hey there!

The answer is there would be [tex]21[/tex] pears for every [tex]9[/tex] apples.

To solve this, we can use proportions. We know that for every [tex]3[/tex] apples there are [tex]7[/tex] pears, and we want to how many pears ([tex]x[/tex]) there are for [tex]9[/tex] apples. We can set up the following proportion:

[tex]\frac{3}{7}[/tex] [tex]= \frac{9}{x}[/tex]

Using cross products, we know that the value of [tex]9[/tex] x [tex]7[/tex] is equal to [tex]3[/tex] x [tex]x[/tex]:

[tex]9(7) = 3(x)[/tex]

[tex]63 = 3x[/tex]

[tex]21 = x[/tex]

Have a terrificly amazing day!

Answr

The answer is there would be 21 pears for every 9 apples

Step-by-step explanation:

6th grade math help me pleaseee

Answers

Answer:

B and D

Step-by-step explanation:

First off, we can rotate it. When rotating, I found that the x and y values switch places in a way.

We would need to rotate it 90 degrees counterclockwise about the origin in order to get it in the same position as triangle BDE. This makes statement B correct.

In order to make triangle ABC smaller, the dilation would have to be smaller than one. Counting the right side's length, ABC has 6 squares and BDE has 3.

This would mean 6 * 1/2 = 3, meaning statement D is true.

Answer:
B and D
If need step by step please message me! And yes this is the right answer!

Help meeeee pleaseeeeerd

Answers

Answer:

i like your cut g

Step-by-step explanation:

The last time Braxton played softball, he hit the ball 35% of the time he was at bat. Based on this information, how many times will Braxton be expected to hit the ball next time he plays softball, if he is at bat 20 times?

Answers

Answer:

the number of items expected to hit the ball next time is 7 times

Step-by-step explanation:

The computation of the number of items expected to hit the ball next time is shown below:

= Given percentage × given number of times

= 35% × 20 times

= 7 times

Hence, the number of items expected to hit the ball next time is 7 times

We simply applied the above formula

A roll of ribbon was 12 meters long. Diego cut 9 pieces of ribbon that were 0.4 meter each to tie some presents. He then used the remaining ribbon to make some wreaths. Each wreath required 0.6 meter. a. How many meters of ribbon were available for making wreaths?

Answers

Answer:

8.4 meters

Step-by-step explanation:

According to the problem, computation of the given data are as follows:

Ribbon roll = 12 meter

Number of pieces cut = 9

Length of each piece = 0.4 meter

So, total length cut = 0.4 × 9 = 3.6 meters

So, we can calculate the ribbon available for making wreaths by using following formula:

Ribbon available after cut = Ribbon total length - Total length cut

By putting the value,

Ribbon available for wreaths = 12 meters - 3.6 meters

= 8.4 meters

Select all of the equations that show properties of exponents applied correctly
510
55
-52
5
4
8
3
= 424
1
10-4 =
410
156 153 = 1518
(68)º=1
Shut

Answers

Answer:

Options (a), (b), (e)

Step-by-step explanation:

a). [tex]\frac{5^{10}}{5^{8}}=5^{10-8}[/tex]

          = 5²

    True.

b). (4⁸)³ = [tex]4^{8}\times 4^8\times 4^8[/tex]

            = [tex]4^{24}[/tex] [Since, [tex]x^{a}\times x^{b}\times x^c=x^{a+b+c}[/tex]]

    True.

c). [tex]10^{-4}=\frac{1}{10^4}[/tex]

    And [tex]\frac{1}{4^{10}}\neq \frac{1}{10^4}[/tex]

    False.

d). [tex]15^{6}\times 15^{3}=15^{6+3}[/tex]  [Since, [tex]x^{a}\times x^{b}=x^{a+b}[/tex]]

                    = 15⁹

    And [tex]15^{9}\neq 15^{18}[/tex]

    False.

e). [tex](6^{8})^{0}=1[/tex] [Since, a⁰ = 1]

    True.

The points A (-4,2), B (1,2), C (1,-1), and D (-4,-1) are vertices of a figure. Find the perimeter of the figure.

Answers

Answer:

P = 16

Step-by-step explanation:

0) What is the value of 56?
56 = 5.5.5.5.5.5
= (5.5) . (5.5) (5.5)
- 25 · 25 · 25
· 25

Answers

Answer:

my answer is 5 thats may final answer....

thaks for your question..

2x² + 3x-5=0
solve using quadratic formula

Answers

Answer:

x1=-5/2, x2=1

Step-by-step explanation:

Answer:

x1=-5/2, x2=1

Step-by-step explanation:

because if you use quadratic formula

you would have x = -3 + or - √3^2 -4 x 2 x (-5)/ 2 x 2

simply and combine like terms give you

x = -3 + 7 / 4

x = -3 - 7 / 4

then you get

x = 1

x = -5/2

                         

9x + 8 + 3x + 4 = please help

Answers

Answer:

12x+12

Step-by-step explanation:

Answer:

12+12

Step-by-step explanation:

9+12+3

9x+12+3x12+12

9+8+3+4

9x+8+3x+49+12+3

have a good day/night

may i please have a branlliest

Suppose a city with population 100,000 has been growing at a rate of 2% per year. If this rate continues, find the population of this city in 22 years.

Answers

Answer:

154,598

Step-by-step explanation:

You can show the growth in the following equation

100,000(1.02)^n

where n is the number of years

To find the population in 22 years you just plug in 22 for n

100,000(1.02)^22

154597.9671

Which rounds to 154598

There are 235 grams in a
candy bar. How many
grams are in 9 candy bars?

Answers

9 times 235 = 2115 grams

2115

Step-by-step explanation:

You multiply 235 by the number of candy bars in this case it would be 9

Evaluate each function at the given value. 1) f (x) = x3 − x2 − 25x + 35 at x = −5 2) f (n) = −4n4 − 13n3 − 5n2 + 16n + 18 at n = −2

Answers

Answer:

a) f(-5) =10

b) f(-2) = 26

Step-by-step explanation:

Given that the function

                 f (x) = x³ − x² − 25x + 35

Put x =-5

              f(-5) = (-5)³ - (-5)²-25(-5)+35

                    = -125-25+125+35

                   = 10

            f(-5) =10

ii)

     f(n) = -4n⁴ - 13n³-5n²+16n+18

    f(-2) = -4(-2)⁴ -13(-2)³-5(-2)²+16(-2)+18

           = -4(16)-13(-8)-5(4)-12+18

          = -64 +104-20-12+18

         = 122-96

        = 26

f(-2) = 26

Write a multiplication equation that represents the question: how many 3/8 are in 5/4

Answers

Answer:

3 1/3

Step-by-step explanation:

First you make the denominators the same so you would change 5/4 to 10/8

and 3 X 3 1/3 gets you 10/8

In the school election James ran against Ben for secretary James received 75% of the votes if 240 students voted how many votes did James not receive?

Answers

Answer: James did not received 60 votes.

Step-by-step explanation:

Given: In a school election,

Percentage of votes received by James = 75%

Percentage of voted hadn't received by James = 100% - 75% = 25%

If 240 students voted , the number of votes hadn't received by James= 25% of 240

[tex]=\dfrac{25}{100}\times 240\\\\=\dfrac14\times240\\\\=60[/tex]

Hence, James did not received 60 votes.

Which expression is equivalent to 83 ⋅ 8–7?

fraction: 1 over 8 to the power 10
1 over 8 to the power 4
810
84

Answers

Answer:

657

Step-by-step explanation:

Adrienne operates the milkshake machine at Burgers and Shakes. On Monday she added whipped cream to 112 milkshakes. This was 68% of the total milkshakes sold. About how many milkshakes were sold at Burgers and Shakes on Monday?
A.36
B.350
C.165
D.76

Answers

the answer is C your welcome
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