Bill's school is selling tickets to a spring musical. On the first day of ticket sales the school sold 5 adult tickets and 14 student tickets for a total of $198. The school took in $156 on the second day by selling 10 adult tickets and 8 student tickets. Find the price of an adult ticket and the price of a student ticket.

Answers

Answer 1

Answer: The price of an adult ticket = $6

The price of a student ticket = $12

Step-by-step explanation:

Let the price of an adult ticket be a

Let the price of a student ticket be b.

From the question,

5a + 14b = 198 ...... equation i

10a + 8b = 156....... equation ii

Multiply equation i by 10

Multiply equation ii by 5

50a + 140b = 1980 ...... equation iii

50a + 40b = 780 ....... equation iv

Subtract iv from iii

100b = 1200

b = 1200/100

b = 12

Put the value of b into equation ii

10a + 8b = 156

10a + 8(12) = 156

10a + 96 = 156

10a = 156-96

10a = 60

a = 6

The price of an adult ticket = $6

The price of a student ticket = $12


Related Questions

-4x^2+2x-5(1+x) what is the answer

Answers

Answer:

4x^2−3x−5

Step-by-step explanation:

Communicate Mathematical Ideas Find the area of the figure. Explain how you found your answer. 10 ft 16 ft 12 ft 18 ft
I'm confused​

Answers

Answer:  300 square feet

Explanation:

The trapezoid has area of

A = h*(b1+b2)/2

A = 6*(10+18)/2

A = 84

The rectangle is 18 ft by 12 ft, which leads to an area of 18*12 = 216 sq ft.

Adding the two sub-areas gets us: 84+216 = 300

The total area of the house-shaped figure is 300 sq ft.

Function f is defined by f(x)=3/2x+c. If f(6)=1, what is the value of f(c)?

Please don't just give me an answer, explain it so I understand. Thanks.

Answers

Answer:

C = - 8

Step-by-step explanation:

[tex]f(x) = \frac{3}{2} x + c \\ \\ plug \: x = 6 \\ \\ f(6) = \frac{3}{2} \times 6 + c \\ \\ f(6) = 3 \times 3 + c \\ \\ f(6) = 9+ c \\ \\ \therefore \: 1 = 9 + c \: \{ \because \: f(6) = 1 \} \\ \\ 1 - 9 = c \\ \\ \huge \red{ \boxed{ c = - 8}}\\\\

f(c) =\frac{3}{2} c +(-8)\\\\

\huge \orange { \boxed{ f(c) =\frac{3}{2} c -8}} \\\\ [/tex]

In the following number, which digit is in the ten thousand places?

7,253,917

A.2
B.5
C.3
D.9

Answers

Answer:

B. 5

Step-by-step explanation:

How it is 5 is because well if you look to the side you can easily see that the 3 is in the Thousands place so.. the 5 would most likely be in the Ten Thousands place. Your Welcome!

Answer: B. 5

Explanation:

Refer to the place value chart shown below.

The 5 is in the ten-thousands place value.

There's not much else I can add to that explanation, but feel free to ask any other questions you may have.

Kodiak is riding her skateboard
down a hill.
What is the slope?


Please help asap

Answers

Answer:

Slope = 1/20

Step-by-step explanation:

Because every 1 second, she goes down 20 feet.

Answer:the answer is the pic

Step-by-step explanation:

hope this helps bye

Find the sum.

48 + 45 + 42+. +(-81) + (-84)

Answers

Answer:

-810

Step-by-step explanation:

I found the answer but this is correct for khan

Please help me out!​

Answers

The answer will be s = -9
Answer: s = -9


Solution:
18-7s=-9s to -7s=-9s-18 (change the sign of the constant [18] and then move it to the right)

Now move the variable (-9s) to the left side and change its sign as well (now it's just +9s)

Now we have -7s + 9s= -18

Combine the like terms (-7s+9s)

Now we have 2s= -18

And then divide both sides of the equation by two (which equals s = -9)

And then you have your answer, s = -9

Hope you have a great day, God bless! :)

The radius of a circle is 4 inches. What is the circle's circumference?

Answers

Answer:

8π inches or approximately 25.12 inches

Step-by-step explanation:

What's the circumference of a circle?

 ❖ The circumference of a circle is the distance around a circle.

How do we find the circumference of a circle?

 ❖ The formula to find the circumference of a circle is 2πr, where r =    

      radius. We can solve in terms of pi, or approximate pi to 3.14

Solving

[tex]\pi * 4*2[/tex] [tex]\pi *8[/tex] 8π inches

or

[tex]3.14*4*2[/tex] [tex]3.14*8[/tex] 25.12 inches

Have a lovely rest of your day/night, and good luck with your assignments! ♡

Answer:

See below.

Step-by-step explanation:

Hi there!

We are given a circle, and inside that circle, we know that the radius of that circle is 4 inches

We want to find the circumference of the circle.

The circumference (C) is essentially the perimeter of a circle; the formula for the circumference of a circle is 2πr (r is the radius, π is pi)

Since we know the radius, we can substitute that value into the formula

C=2πr, r=4

C=2π*4

C=8π

If you need the answer in terms of pi, then the answer is 8π inches. However, if you need a number, then substitute an approximation for π, which will usually be 3.14 or 22/7

Using 3.14 for example,

C=8*3.14=25.12 inches

Using 22/7 meanwhile,

C=8*22/7=25.14 inches  (rounded to the nearest hundredth)

So the answer is either 8π inches, 25.12 inches, or 25.14 inches (depending on how you need it approximated)

Either way, hope this helps!

See more on finding the circumference of a circle given the radius here: https://brainly.com/question/15882336

a map has a scale of 1 inch = 16 miles. What is the actual distance if the distance on the map is 9 3/4 inches

Answers

Answer:

156 miles

Step-by-step explanation:

For every inch, you will have 16 miles

So if you have 9 3/4 inches you can just multiply that with 16

9 3/4*16=156

Our answer is 156 miles

please please help me!​

Answers

Answer:

D: -5,-2,1,5

R:10,11,4,

Step-by-step explanation:

The domain is the set of all the values of x.

The range is the set of all the values of y

5c+16.5=13.5+10c
solve for c

Answers

Answer:

c = 3/5

Step-by-step explanation:

5c+16.5=13.5+10c

Subtract 5c from both sides:

13.5+5c=16.5

5c=3

c = 3/5

5c-10c=13.5-16.5
-5c=-3
c=3/5

Adrianna has a piece of fabric in the shape of a parallelogram.

What is the area of this parallelogram?




32 in²

64 in²

96 in²

128 in²

Answers

96 in² I think

Make the triangles into a rectangle, find the area and add it to the original square

Answer: 96 in²

Step-by-step explanation: The parallelogram is comprised of two triangles and one square. You could solve this one of two ways.

1) Find the area of the total parallelogram. The area is b*h, where b is the base and h is the height. The base will ALWAYS be the sum of whatever is on the bottom. In this model, we have 4" and 8", meaning b=12". Now, the height is 8" as seen by the vertical line connecting the top and bottom of the figure. 12 times 8 is 96 inches squared.

2) Find the area of the square and two triangles. The area of a triangle is 1/2*b*h, where b is the base (4") and h is the height (8"). Seeing as we have two triangles, we can do this twice, getting 0.5*4*8 + 0.5*4*8 (1/2 is the same as 0.5 btw). 32 inches squared is for the two triangles. Finally, you need to find the square. To review, the area of a square is s^2, so 8*8 is 64. 64+32 is 96 inches squared.

PLEASE HELP!

The diameter of a bicycle wheel is 26 inches. how many feet will the bicycle travel if the wheel turns 20 times?

Answers

Answer:

163.1 feets bicycle will move in 20 revolution

Step-by-step explanation:

Given:-

Diameter of bicycle wheel is 26 inch

Then the radius will be 13 inch

Solution:-

One revolution = Perimeter of bicycle wheel

Perimeter of bicycle wheel :-

= 2πr

= 2×22/7×13

81.7 inch

Total feets the bicycle will travel If it turns 20

times :-

81.7×20

= 1634 inches

Distance covered in feets:-

1634/12

= 163.1 feets

find 90% of 650 ........
explain if possible

Answers

90% of 650 is 585 I have no idea how to explain

Answer:

585

Step-by-step explanation:

650/10 = 65 (10%)

65 * 9 = 585

A, B & C form the vertices of a triangle.
∠ CAB = 90°,
∠ ABC = 46° and AB = 9.2.
Calculate the length of AC rounded to 3 SF.

Answers

Answer is: AC= 9.52

A recipe for pasta dough says, “Use 150 grams of flour per large egg.” How much flour is needed if 6 large eggs are used?

Answers

Answer:900g

Step-by-step explanation:

150*6=900

Answer:

900 grams of flour

Since you already know that 150 grams of flour is used for one large egg

Just do 150×6 and that will give you the answer of 900.

I hope that helps :)

Clair grows berries. A flock of birds comes to her field every day and eats berries. Clair plays loud recordings of a different animal each day to scare the birds, but none have helped so far. One day Clair played a recording of loud eagle calls, and the birds never came to her field.
What could be inferred?

A. The flock ate berries from a different fleld.

B. The flock migrated south

C. The flock was scared away by the eagle calls.

D. The flock may have wanted to share the berries with the eagles.

E. The flock Is afraid of all loud animal calls.​

Answers

so for this question you need to look at what changed and what caused the change. the question states that the only real difference between when the flock of birds came and when they didn’t come was the loud eagle call (not any other loud animal), so it can be inferred that the eagle call scared the flock of birds away. so the answer is most likely c. hope this helps!!

Is it a function? Or not

Answers

Answer:

Nah

Step-by-step explanation:

Nah tbh I don't think so if I'm being honest


A parabola can be drawn given a focus of (-9, -7) and a directrix of x = 9. Write
the equation of the parabola in any form.

Answers

Check the picture below, so the parabola looks more or less like so, with a vertex at (0 , -7), let's recall the vertex is half-way between the focus point and the directrix.

so this horizontal parabola opens up to the left-hand-side, meaning that the "P" distance is a negative value.

[tex]\textit{horizontal parabola vertex form with focus point distance} \\\\ 4p(x- h)=(y- k)^2 \qquad \begin{cases} \stackrel{vertex}{(h,k)}\qquad \stackrel{focus~point}{(h+p,k)}\qquad \stackrel{directrix}{x=h-p}\\\\ p=\textit{distance from vertex to }\\ \qquad \textit{ focus or directrix}\\\\ \stackrel{"p"~is~negative}{op ens~\supset}\qquad \stackrel{"p"~is~positive}{op ens~\subset} \end{cases} \\\\[-0.35em] \rule{34em}{0.25pt}[/tex]

[tex]\begin{cases} h=0\\ k=-7\\ p=-9 \end{cases}\implies 4(-9)(x-0)~~ = ~~[y-(-7)]^2 \\\\\\ -36x=(y+7)^2\implies x=-\cfrac{1}{36}(y+7)^2[/tex]


-5 – 3(x – 8) = -5x + 19

Answers

Answer:

[tex]x=0[/tex]

Step-by-step explanation:

Given the following question:

[tex]-5 - 3(x - 8) = -5x + 19[/tex]

To find the answer expand the equation, add/subtract on both sides, and simplify the expression.

[tex]-5 - 3(x - 8) = -5x + 19[/tex]
[tex]-5-3(x-8)=-3x+19[/tex]
[tex]-3x+19=-5x+19[/tex]
[tex]19-19=0[/tex]
[tex]19-19=0[/tex]
[tex]-3x=-5x[/tex]
[tex]-3x+5x=-5x+5x[/tex]
[tex]-3x+5x=2x[/tex]
[tex]2x=0[/tex]
[tex]2x\div2=x[/tex]
[tex]0\div2=0[/tex]
[tex]x=0[/tex]

Your answer is "x = 0."

Hope this helps.

Can someone please help me

Answers

Answer:

is this geometry. if it is then i can help you

Step-by-step explanation:

NM be xKL be 2x

[tex]\\ \rm\rightarrowtail \dfrac{NM}{NO}=\dfrac{KM}{KL}[/tex]

[tex]\\ \rm\rightarrowtail \dfrac{x}{7}=\dfrac{20}{2x}[/tex]

[tex]\\ \rm\rightarrowtail 2x^2=140[/tex]

[tex]\\ \rm\rightarrowtail x^2=70[/tex]

[tex]\\ \rm\rightarrowtail x=\sqrt{70}[/tex]

On a field trip there are 3 adults for every 45 students. Which graph models a relationship with the same unit rate?

Answers

Step-by-step explanation:

There is 1 adult for every 15 students. (I don't see any pictures of a graph)

Answer:

There is 1 adult for every 15 students

Step-by-step explanation:

Select either relation (if the set is a relation but not a function), function (if the set is both a relation and a function), or neither (if the set is not a relation).

A = {(1, 2) (2, 2) (3, 2) (4, 2)}

Answers

Answer:

Function

Step-by-step explanation:

Since each x value corresponds to a single y value

This is probably rly easy but I'm lazy
I'll give you brainliest!!

(The answer choices are 1/12 mph, 3 3/4 mph, 5 mph or 15 mph).

Answers

Answer:

5mph

Step-by-step explanation:

driver 1 is driving 45mph (7x6=45)

driver 2 is driving 50mph  (10x5=50)

Which of the following statements about parallelograms are true?
Select all that apply.

options:

All parallelograms have 4 right angles.


All parallelograms have rotational symmetry of 90°.


All parallelograms have rotational symmetry of 180°.


A rectangle is a parallelogram.


All parallelograms have exactly 4 lines of symmetry.

Answers

Answer:

All parallelograms have 4 right angles.

All parallelograms have rotational  symmetry of  180°.

A rectangle is a parallelogram.

Step-by-stepStep-by-step explanation:

let me know if im wrong......have a good day!!!!  :)

2. A Cylindrical hot water tank is closed at both ends. The radius of the tank is 0.5m and the height is 0.75.calculate i. The volume of the Cylinder it. The total surface area of the tank (take π =22 out of 7​

Answers

Answer:

Volume = 0.59 m³

Surface Area = 3.93 m²

Step-by-step explanation:

Given :-

- Radius = 0.5 cm

- Height = 0.75 cm

To Find :-

- Volume

- Surface Area

Solving :-

Volume = πr²h

= 22/7 x (0.5)² x 0.75

= 22/7 x 1/4 x 3/4

= 66/112

= 33/56 m³

= 0.59 m³

Surface Area = 2πr (r + h)

= 2 x 22/7 x 0.5 (0.5 + 0.75)

= 22/7 x 5/4

= 110/28

= 55/14 m²

= 3.93 m²

Solution :-

Volume = 0.59 m³

Surface Area = 3.93 m²

Answer:

1. Formula for volume of a cylinder;

V = πr^2h

where pi is 3.14 or 22/7, r is the radius(0.5) which is squared, and h is the height

plug in the actual values;

V = πr^2h

V = 3.14 * 0.5^2 * 0.75

V = 3.14 * 0.25 * 0.75

V = 0.785 x 0.75

V = 0.58875^3 meters or 0.59^3 meters, is the volume. (round to whatever place they covet)

2. Formula for surface area of a cylinder;

SA = 2πr(r + h)

Plug in the actual values:

SA = 2πr(r + h)

SA = 2 x 3.14 x 0.5(0.5 + 0.75)

SA = 2 x 3.14 x 0.5(1.25)

SA = 2 x 3.14 x 0.625

SA = 3.925 meters or 3.93 meters is the surface area.

If one root of the equation x^2 + 5x + k = 0 is -2, what is the value of k?

Answers

Answer:

k = 6

Step-by-step explanation:

given x = - 2 is a root then substitute x = 2 into the equation

(- 2)² + 5(- 2) + k = 0

4 - 10 + k = 0

- 6 + k = 0 ( add 6 to both sides )

k = 6

Answer:

k = 6

Step-by-step explanation:

since x = - 2 put x = 2 into the equation

(- 2)² + 5(- 2) + k = 0

4 - 10 + k = 0

-6 + k = 0

+6        +6

k = 6

Y is the midpoint of XZ and W is the midpoint of VX.
If VZ=s+52 and WY=7s, what is the value of s?

Answers

Answer:

4

Step-by-step explanation:

By the triangle midsegment theorem, 2(YW)=VZ.

This means 2(7s)=s+52, meaning s=4.

Carl is a biologist studying different types of mammals. He finds in one vally that there are 15 plant-eating mammals for every 2 meat-eating mammals. The total population is about 2,900. Which number is the beat estimate of the population of meat-eating mammals in the valley. * 170 *340 *1,450 * 2,560

Answers

Answer: 340

Step-by-step explanation:

Given: There are 15 plant-eating mammals for every 2 meat-eating mammals.

i.e. ratio of meat-eating mammals to plant eating animals = 2:15 or [tex]\dfrac2{15}[/tex]

ratio of meat-eating mammals to total population = [tex]\dfrac{2}{17}[/tex]

Total population: 2,900 (approx.)

The population of meat-eating mammals in the valley = [tex]\dfrac{2}{17}\times2900[/tex]

[tex]\approx341[/tex]

From the given options, the best estimate of the population of meat-eating mammals in the valley = 340

Can anyone help me with this?

Answers

Answer:

brrooo me too i hate bell work

Step-by-step explanation:

good luck tho

i’m honestly not sure about the answer but..
anything multiplied by zero would equal zero
so the value of q would be 0.

q=2(0)p
q=(0)p
q=0
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