At Niagra High, Mr. Borton bought 4 student tickets and 2 adult tickets for the high school musical which cost $64. then Mrs. Gelvoria bought 3 student tickets and 3 adult tickets for the show and it cost her $72. How much are each type of tickets?​

Answers

Answer 1

Answer:

Each student ticket costs $8.33

Each adult ticket costs $15.34

Step-by-step explanation:

At Niagra High, Mr. Borton bought 4 student tickets and 2 adult tickets for the high school musical which cost $64. then Mrs. Gelvoria bought 3 student tickets and 3 adult tickets for the show and it cost her $72. How much are each type of tickets?​

s = cost of each student ticket

a = cost of adult ticket

Our system of equations:

4s + 2a = 64

3s + 3a = 71

-3(4s + 2a = 64) ==> -12s - 6a = -192

2(3s + 3a = 71) ==>     6s + 6a = 142

-12s - 6a = -192

  6s + 6a = 142

-6s = -50

/-6      /-6

s = $8.33 (the cost of each student ticket)

Now, let's find the cost of each adult ticket:

4s + 2a = 64

4(8.33) + 2a = 64

33.32 + 2a = 64

-33.32         -33.32

2a = 30.68

/2        /2

a = 15.34 (the cost of each adult ticket)

(x, y) ==> (8.33, 15.34)

Check your answer:

4s + 2a = 64

4(8.33) + 2(15.34) = 64

33.32 + 30.68 = 64

64 = 64

This statement is true

Hope this helps!

At Niagra High, Mr. Borton Bought 4 Student Tickets And 2 Adult Tickets For The High School Musical Which

Related Questions

Owen has a mask collection of 300 masks. He keeps 63 of the masks on his wall. What percentage of Owen's mask collection does he keep on his wall?​

Answers

Using the percentage concept, it is found that he keeps 21% of his mask collection on the wall.

What is a percentage?

The percentage of an amount a over a total amount b is given by a multiplied by 100% and divided by b, that is:

[tex]P = \frac{a}{b} \times 100\%[/tex]

In this problem, the parameters are a = 63 and b = 300, hence the percentage is given by:

[tex]P = \frac{63}{300} \times 100\% = 21\%[/tex]

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What is the volume of a cylinder, in cubic cm, with a height of 3cm and a base diameter of 10cm? Round to the nearest tenths place.

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Area=30

Calculate area of the rectangle:30

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Answers

Answer:

2,544.42

Step-by-step explanation:

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Answer:

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Emma sold all the parasols in the store for $84. She brought new
parasols from the stockroom and decided to increase the price of a
parasol to $13.
Which of the following equations represents the total amount, t, Emma
will have earned after selling the additional, p, parasols?
A. t = 84 + 13p
B. t = 84 + (p + 13)
C. t = 84 × 13p
D. t = 84 + [tex]\frac{p}{13}[/tex]

Answers

Answer:  B.  Emma sold all the parasols in the store for $84. She brought new parasols from the stockroom and decided to increase the price of a parasol to $13.

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

First, she earned $84

She bought new parasols and increase the price of each parasol by $13-> she will earn $13p by selling p additional parasols

->total amount = 84+13p

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The triangle below is isosceles, Find the length of side x to the nearest tenth.

Answers

Answer: 3.5

Step-by-step explanation:

If X = 6 cm and Z = 10 cm, what is the length of Y?
A. 8 cm
B. 8 cm
C. 10 cm
D. 6 cm

Answers

Answer:

If XYZ is a triangle, then Y = 8 cm

Step-by-step explanation:

X^2 + Y^2 = Z^2, by the Pythagorean Theorem.

Z, in this equation, represents the hypotenuse; the hypotenuse must be the longest side, and we can therefore eliminate C, 10 cm, without even beginning. Then, we may plug the given values in.

(6)^2 + Y^2 = 10^2

36 + Y^2 = 100

Y^2 = (100 - 36) = 64

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At a bowling alley, there is a flat fee of
$
5.00
to rent shoes. In addition, it costs
$
1.25
for each game bowled.

Which equation shows the total cost (
c
) for the number of games (
g
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Answers

Answer:

I don't see any answer options, but the total cost should be:

c = $5.00 + $1.25g

Step-by-step explanation:

Assuming that the cost is for one person playing g games, and that person needs to rent 1 pair of shoes, the cost should be:

c = $5.00 + $1.25g

The table shows the distance a cyclist rides her bicycle over time. Is the rate of change in distance with respect to time constant? What does the rate of change represent?

Bike Riding Distance

Time
(minutes) Distance
Traveled (ft)
1 1120
2 2240
3 3360
4 4480
A. The rate of change is constant and represents a speed of 1120 ft/min. The cyclist rides her bike at a rate of 1120 ft/min.
B. The rate of change is constant and represents a speed of 3360 ft/min. The cyclist rides her bike at a rate of 1120 ft/min.
C. The rate of change is constant and represents a speed of 2240 ft/min. The cyclist rides her bike at a rate of 1120 ft/min.
D. The rate of change is constant and represents a speed of 4480 ft/min. The cyclist rides her bike at a rate of 1120 ft/min.

Answers

From the relationship between the distance and time, the rate of change is constant and represents a speed of 1120 ft/min. The cyclist rides her bike at a rate of 1120 ft/min.

What is a linear equation?

A linear equation is in the form:

y = mx + b

Where y,x are variables, m is the rate of change and b is the initial value of y.

Let y represent the distance travelled by the bike after x minutes.

From the table:

Rate of change = (4480 - 1120) / (4 - 1) = 1120 ft/min

The rate of change is constant and represents a speed of 1120 ft/min. The cyclist rides her bike at a rate of 1120 ft/min.

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Answers

Answer:

x = 25

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Step-by-step explanation:

< B = < M

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Answers

Answer:

4,767

Step-by-step explanation:

Apply the distributive property to factor out the greatest common factor.

22c+33d =

Answers

Answer:

Step-by-step explanation:

First find the GCF of 22 and 33

22 = 2 * 11

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22c + 33d = 11 * 2c + 11 * 3d

                 = 11*(2c + 3d)

What is the inverse of function f?



A.

B.

C.

D.

Answers

Answer: Choice D

[tex]f^{-1}(x) = 3-7x\\\\[/tex]

=====================================================

Work Shown:

[tex]f(x) = \frac{3-x}{7}\\\\y = \frac{3-x}{7}\\\\x = \frac{3-y}{7}\\\\7x = 3-y\\\\7x+y = 3\\\\y = 3-7x\\\\f^{-1}(x) = 3-7x\\\\[/tex]

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Answer:

molar mass of carbon-12

Step-by-step explanation:

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Not letting me add answer

Refer to the attachment

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Answers

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Answers

Answer:

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Explain if she correct or not. If she is correct, justify her claim. If she is not correct, explain her error and state the correct GCF.

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Answers

Answer:

Marcia is not correct.

See explanation below.

Step-by-step explanation:

The terms are

2x²

4xy

8xy^4

The terms broken down into products of prime factors are:

2x² = 2 × x × x

4xy = 2 × 2 × x × y

8xy^4 = 2 × 2 × 2 × x × y × y × y × y

To find the GCF, we circle the common factors of the three terms (here we use bold type instead of circling.)

2x² = 2 × x × x

4xy = 2 × 2 × x × y

8xy^4 = 2 × 2 × 2 × x × y × y × y × y

The GCF is the products of the circled (bold) factors.

GCF = 2x

Marcia's answer is the Least Common Multiple.

For the LCM, you use all factors that are common and not common with the larger exponent.

LCM = 2 × 2 × 2 × x × x × y × y × y × y = 8x²y^4

Marcia's mistake is that she calculated the LCM instead of the GCF.

Answer:

Marcia is not correct.

The explanation is above.

Answer:

See below.

Step-by-step explanation:

2x^2, 4xy, and 8xy^4

She is incorrect.

The GCF is 2x.

She found the greatest term, rather than the greatest factor.

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Answers

Answer:

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Step-by-step explanation:

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Answers

Answer:

Step-by-step explanation:

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Victor's class is going on a field trip.
They will ride on the city bus twice,
once going and once coming back.
The one-way bus trip costs 35€ per
child and 50¢ per adult. There are
24 students, 4 parents, and 1 teacher
4
going on the trip. How much money
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Answers

Answer:

2180

Step-by-step explanation:

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When Juan got home from school, he worked on his homework for 45 minutes. Then, he took a break and had a snack for 35 minutes, and after that went to baseball practice for 1 hour and 55 minutes. He finished baseball practice at 6:05 p.m. What time did he get home from school? of​

Answers

Answer:

2:50 p.m.

Step-by-step explanation:

After he got home, his activities were:

homework: 45 minutes

break & snack: 35 minutes

baseball practice: 1 hour 55 minutes

1 hour = 60 minutes

Total time of activities:

45 minutes + 35 minutes + 60 minutes + 55 minutes = 195 minutes

195 minutes = 180 minutes + 15 minutes = 3 hours 15 minutes

Now we subtract 3 hours 15 minutes for 6:05 p.m.

   6:05

-   3:15

----------

We need to borrow 1 hour from 6 hours. 1 hour is 60 minutes. 6 hours becomes 5 hours. We add the 1 hour as 60 minutes to the 5 minutes.

   6:05                               5:65

-   3:15         -------->        -   3:15

-----------                          ----------

                                          2:50

Answer: 2:50 p.m.

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Answers

Answer:

i and iii are correct

Step-by-step explanation:

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Which equation describes a line with a slope of 2/5 and a y-intercept at (0, 4)?

Answers

Answer:

y=2/5x+4

Step-by-step explanation:

because 4 would be where the line crosses the number 4 on the y axis which puts it at the back and the slope is x because it increases by an amount indescribable.

answer: y=2/5x+4
step by step explanation:

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Answers

Answer:

the G graph runs straight through the middle while the F does not

6 Xavier earns $12.50 for each lawn he mows. If he mowed 8 lawns last week, how
much money did he earn? Show your work.

Answers

Answer:

12.50x2.50x8=w

Step-by-step explanation:

12.50×8=100

Answer:

$100

Step-by-step explanation:

12.50 multiplied by 8.

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Which number is closest to the value of y when t=3/2

Answers

Answer:

1200 i think

Step-by-step explanation:

i used a calculator since its hard for me to do mental math

question 2

(sorry i replied late i was doing some of my school work)

so you make A be equal to 5000 since you want to know when his account will be that much money sooo

5000 = 2000(1.07t)

you divide 2000 from both sides

5000/2000 = 1.07t

5/2 = 1.07t

now you have to isolate t to solve for it

soo divide 1.07 to both sides

5/2 / 1.07 = t

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Answers

Step-by-step explanation:

-13 = -3h + 2

3h - 13 = 2

3h = 15

h = 5

Answer:

-5

Step-by-step explanation:

-13 = -3h + 2          First, move the positive two (we get rid of a + by using a -)

-2             -2                            

-15 = -3h                 -3 is divided (opposite of multiplication is division)

-----   ------

3       3

-5 = h                    Now we have our answer :)

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