A total of 202 tickets were sold for a theatre showing. If child tickets cost $6 and adult tickets cost $10, how many tickets of each were sold if the theatre earned a total of $1708.

Answers

Answer 1

Answer:

167 adult tickets were sold

35 children tickets were sold

Step-by-step explanation:

Let the number of adult tickets be x

Let the number of children tickets be y

Total number of each ticket sold;

x + y = 202 equation 1

Total cost of the tickets

10x + 6y = 1708 equation 2

Let

x= 202 - y equation 3

Substitute 3 into 2

10(202 - y) + y = 1708

2020 - 10y + y = 1708

-9y = 1708 - 2020

-9y = -312

y= 35

Substitute y =35 into 1

x + 35 =202

x= 202 - 35

x= 167

Therefore;

167 adult tickets were sold

35 children tickets were sold


Related Questions

Drag the tiles to the boxes to form correct pairsMatch the expressions with the property used to generate

Answers

Answer:

wheres the question??

Two swim clubs are having a membership sale. Aqua Plus is offering a two-year membership for $479.76. Water World is offering an 18-month membership for $350.00. Which describes the swim club that has the lower-priced offer?
Aqua Plus has the lower cost of $239.88 per year.
Water World has the lower cost of $239.88 per year.
Aqua Plus has the lower cost of $19.44 per month.
Water World has the lower cost of $19.44 per month.

Answers

Answer:

water world give lower priced offer

Step-by-step explanation:

Offer given by Aqua Plus

two-year membership for $479.76

it means,

for 24 month=$479.76

For 1 month=$

For 1 month membership Aqua Plus  take $19.99

Now Offer given by Water World

18-month membership for $350.00

it means for 18 month=$350.00

and For 1 month=$

For 1 month membership water world takes $19.44

it means amount taken by water world for 1 month membership is less than the amount taken for 1 month by Aqua plus

Therefore, water world give lower priced offer.

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

Hurry pleaseeee taking a test Which expression is equivalent to 30°? Inverse of cosine (StartFraction StartRoot 3 EndRoot Over 2 EndFraction) Inverse of sine (StartFraction StartRoot 3 EndRoot Over 2 EndFraction) Sine (StartFraction StartRoot 3 EndRoot Over 2 EndFraction) Cosine (StartFraction StartRoot 3 EndRoot Over 2 EndFraction)

Answers

Answer:

Inverse of cosine (StartFraction StartRoot 3 EndRoot Over 2 EndFraction)

Step-by-step explanation:

According to trigonometry identity;

Cos 30° = √3/2

To get the expression equivalent to 30°, we will take the inverse of both sides as shown;

Cos^-1(cos 30°) = cos^-1(√3/2)

The arccos will cancel out the cos on the left hand side of the equation to have;

30° = cos^-1(√3/2)

Hence 30° is equivalent to inverse of cosine of √3/2 or Inverse of cosine (StartFraction StartRoot 3 EndRoot Over 2 EndFraction)

Answer:

the Answer is A

Step-by-step explanation:

Edge 2020

Find the slope of the line that passes through the given points.
(-1, 4) and (-3, 8)

Answers

Answer:

-2

Step-by-step explanation:

4-8 = -4

-1 - -3 = 2

-4/2= -2

Jordan is using his birthday money to buy baseball cards. Danny's Downtown Shop sells boxes of 80 cards for $23.20. The General Store sells boxes of 120 cards for $28.80. Which store offers the better deal?

Answers

Answer:

I believe that the general store offers a better deal.

Answer:

I believe that the general store offers a better deal

Step-by-step explanation:

If the function h(x) is defined by h(x) = 2x? - 7x-12 then which of the following values of x solves the
equation h(x) = 10?
(1) x = -2
(3) x = 48
(2) x = 5
(4) x = 118

Answers

Answer:

x=-2 solves the equation h(x)=10.

Step-by-step explanation:

Given the function

[tex]h\left(x\right)\:=\:2x^2\:-\:7x-12[/tex]

Putting [tex]h(x)=10[/tex] in the function

[tex]10=2x^2-7x-12[/tex]

switch both sides

[tex]2x^2-7x-12=10[/tex]

add 12 to both sides

[tex]2x^2-7x-12+12=10+12[/tex]

[tex]2x^2-7x=22[/tex]

Divide both sides by 2

[tex]\frac{2x^2-7x}{2}=\frac{22}{2}[/tex]

[tex]x^2-\frac{7x}{2}=11[/tex]

Rewriting in the form x²+2ax+a²

[tex]\mathrm{Add\:}\left(-\frac{7}{4}\right)^2\mathrm{\:to\:both\:sides}[/tex]

[tex]x^2-\frac{7x}{2}+\left(-\frac{7}{4}\right)^2=11+\left(-\frac{7}{4}\right)^2[/tex]

[tex]x^2-\frac{7x}{2}+\left(-\frac{7}{4}\right)^2=\frac{225}{16}[/tex]

[tex]\left(x-\frac{7}{4}\right)^2=\frac{225}{16}[/tex]

[tex]\mathrm{For\:}f^2\left(x\right)=a\mathrm{\:the\:solutions\:are\:}f\left(x\right)=\sqrt{a},\:-\sqrt{a}[/tex]

slove

[tex]x-\frac{7}{4}=\sqrt{\frac{225}{16}}[/tex]

[tex]x-\frac{7}{4}=\frac{\sqrt{225}}{\sqrt{16}}[/tex]

[tex]x-\frac{7}{4}=\frac{15}{4}[/tex]

[tex]\mathrm{Add\:}\frac{7}{4}\mathrm{\:to\:both\:sides}[/tex]

[tex]x-\frac{7}{4}+\frac{7}{4}=\frac{15}{4}+\frac{7}{4}[/tex]

[tex]x=\frac{11}{2}[/tex]

solving

[tex]x-\frac{7}{4}=-\sqrt{\frac{225}{16}}[/tex]

[tex]x-\frac{7}{4}=-\frac{15}{4}[/tex]

[tex]\mathrm{Add\:}\frac{7}{4}\mathrm{\:to\:both\:sides}[/tex]

[tex]x-\frac{7}{4}+\frac{7}{4}=-\frac{15}{4}+\frac{7}{4}[/tex]

[tex]x=-2[/tex]

The solutions to the quadratic equation are:

[tex]x=\frac{11}{2},\:x=-2[/tex]

Therefore, x=-2 solves the equation h(x)=10.

Just in case you can't see what is says it says Which point has coordinates (1,-5)
A B C D please help me

Answers

Answer:

D

Step-by-step explanation:

the x value = 1 so move to the right 1 mark on the graph and since y = -5 you move down 5 marks on the graph and you get you answer

hope this helps!

plz mark me brainliest if this helped!

have a great day!

Please answer this!!

Answers

Answer:

3,724 cubic inches

Step-by-step explanation:

All you have to do is multiply 19•14•14

What equation of the line is parallel to y=4x-9

Answers

Answer:

y= 4x (any number negative or positive except -9)

Write this on your paper:

y = 4x +1

11 x (9-3)
I need HELP NOW U WILL GET BRANLIEST

Answers

Answer:

your answer is 96

Step-by-step explanation:

hope this helps

Answer:

66

Step-by-step explanation:

9-3=6

6 x 11=66 :))))

The tables represent the functions f(x) and g(x).

A table showing g(x) equals 2 x plus 15 with 2 columns and 7 rows. The first column, x, has the entries, negative 15, negative 12, negative 9, negative 6, negative 3, 0. The second column, g(x), has the entries, negative 15, blank, blank, blank, blank, 15.
Which input value produces the same output value for the two functions?

Hint, because the tables are incomplete, you will need to solve by setting the equations equal to each other.




A. x = -12
B. x = -9
C. x = -6
D. x = -3

Answers

Answer:

c

Step-by-step explanation:

Answer:

B) x=-9

Step-by-step explanation:

will give brainly if you help

Answers

Answer:

I think it is 0

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

To find the y-intercept from a table all you have to do is find when x is 0 because the y-intercept is (0,5) on a graph

Please help !!!!! Don’t answer if you just want to scribble . Imagine how you would feel if it were you .

Answers

Answer:

m= -3

b= 4

Step-by-step explanation:

whatever number has x next to it is always slope, that is how you find slope in a equation. To find y-intercept (b) you can just use the other number that doesn't have x to it.

Hope this helps!!!

Victor has a part time job. He saves 18% of his monthly income. Victor makes $215 a month. How much money does he save a month?

Answers

$38.70 Hope this helped!

I really need help plz ok

Answers

Answer:

n = 12

Ava has 12 times as many eggs as Cole

Step-by-step explanation:

May I have brainliest please? :)

4(5c+3) and 9c+7 is it equivilent

Answers

Answer:

why are you cheating

Step-by-step explanation:

whats your reputation

Answer:

Step-by-step explanation:

Yes

9(3x - 5) = -9(-5x - 3)
how many solutions do you get when you solve ?

Answers

Answer:

one solution

Step-by-step explanation:

Given

9(3x - 5) = - 9(- 5x - 3) ← distribute parenthesis on both sides )

27x - 45 = 45x + 27 ( subtract 45x from both sides )

- 18x - 45 = 27 ( add 45 to both sides )

- 18x = 72 ( divide both sides by - 18 )

x = - 4

PLEASE HELP!!!
HSJSHGXDBSJHCBDSHDCB PLEASEE

Answers

Answer:

you can give her brainliest now c:

Step-by-step explanation:

Use the order of operations to simplify 4(3.5-1.5)-1/2

Answers

Answer:

7.5

Step-by-step explanation:

4*3.5 = 14

4*-1.5 = -6

14 + -6 = 8

8-1/2 = 7.5

Answer:

7.5

Step-by-step explanation:

PLS HELP ME IM.BAD AT THIS

Answers

Answer:28.8

Step-by-step explanation:

Tara bought a 1.8-acre lot. She is going to have to sod put on 0.6 of the lot.
Which grids show the correct shading to model the multiplication?

Answers

I think c???? because yeah dsfiesnfgb

Answer:

i have that same Question

Step-by-step explanation:

Lisa runs 3 miles in 28 minutes. At the same rate, how many miles would she run in 42 minutes? How do I solve???

Answers

Answer:

About 4.5

Step-by-step explanation:

First, divide 28 by 3, round to closest number (2 numbers after the decimal) then take 42 divided by that number (9.33), and you get about 4.5

Hope this helped!

Felix has a bucket of golf balls. The table shows the number of times each color of golf ball was drawn. Based on the information in the table, in how many of the next 180 draws should the outcome be expected to be white? Round your answer to the nearest whole number if needed

Answers

Answer: 47



Explanation: The total number of draws is 42 and the probability of drawing white is 11/42.

Thus, we can simply multiply this probability by 180 to get 47.1 which becomes 47.

which of the following represents an exponential function

Answers

Answer:

what are the options

Step-by-step explanation:

There is a contest at school where students guess how many dimes are in a jar. The person whose guess is closest to the actual value wins the jar. Jeffrey guessed 470 dimes. The actual value is 510. What is Jeffrey's percent error?

Answers

Answer:

to go yes back

Step-by-step explanation:

Ana runs 3/4 miles in 6 minutes, or 1/10 hour. Assuming she runs a constant rate what is er speed, in miles per hour?

Answers

Answer:

Ana runs at a speed of 7.5 miles per hour

Step-by-step explanation:

Speed

Is the rate at which the distance changes in time.

The formula to calculate the speed is:

[tex]\displaystyle v=\frac{d}{t}[/tex]

Where d is the distance traveled in time t.

We know Ana runs a distance of d=3/4 miles in 6 minutes, already converted to t=1/10 hours.

Thus, the speed is calculated as follows:

[tex]\displaystyle v=\frac{\frac{3}{4}}{\frac{1}{10}}[/tex]

Multiplying by the reciprocal of the denominator:

[tex]\displaystyle v=\frac{3}{4}\cdot \frac{10}{1}=\frac{30}{4}[/tex]

v=7.5 mile/h

Ana runs at a speed of 7.5 miles per hour

Which relation is a function?

Answers

The relation of a function is the 2 top right

Solve for x
-2x+8y=20

Answers

Answer:

X=-6

Step-by-step explanation:

-2 times -6= 12          12+8=20

Please help me with this

Answers

Answer:

30

Step-by-step explanation:

x+2x+3x=180

6x=180

x=30

When a rock is dropped on Earth, the time in seconds it takes the rock to fall d meters is modeled by √0.45d. When a rock is dropped on the moon, the time in seconds it takes the rock to fall d meters is modeled by √1.11d. Does it take more time on Earth or on the moon for a rock to fall 50 meters? Show your work.

Answers

Answer:

It takes more time on moon for the rock to fall.

Step-by-step explanation:

Given that:

Time it takes for rock to fall d meters on earth = √0.45d

Time it takes for rock to fall d meters on moon = √1.11d

For a rock to fall 50 meters:

On earth :

Time = √0.45*50 = 4.7434164 seconds

On moon :

Time = √1.11*50 = 7.4498322 seconds

Time on moon > Time on earth

Hence, It takes more time on moon for the rock to fall.

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