A total of 243 tickets were sold for the school play. They were either adult tickets or student tickets. The number of student tickets sold was two
times the number of adult tickets sold. How many adult tickets were sold?

Answers

Answer 1

Answer:

81 adult tickets

Step-by-step explanation:

Step 1:

Set up a system of equations

Since the adult tickets and student tickets add to 243, we can do

[tex]a+s=243[/tex]

and the student tickets sold were 2x the adult tickets, we can do

[tex]s=2a[/tex]

We can replace s in the first equation adding to 243 with 2a

[tex]a+s(2a)=243\\3a=243\\[/tex]

Step 2:

Solve for a. We can divide both sides by 3.

[tex]a=81[/tex]

Therefore, there were 81 adult tickets sold.

Step 3:

We can check our work! Since we learned earlier the student tickets are 2x adult tickets, we can multiply 81 by 2 and add that to 81 to see if it equals 243!

[tex]s=2a\\s=2(81)\\s=162[/tex]

And...

[tex]162+81=243[/tex]

So, 81 must be the answer!

Answer 2

Answer:

ok so I did this before

Step-by-step explanation:

just multiply 243 × 2 = ?

I got it right so you will probably get it right :)


Related Questions

I need the answer asap

Answers

a = 168⁰

a + x = 180⁰

168⁰ + x = 180⁰

x = 180⁰ - 168⁰

x = 12

should be easy points

Answers

Answer:

D

Step-by-step explanation:

2 1/8 + 1 1/2 + 1 3/4 = 5 3/8

Answer:

d

Step-by-step explanation:

got it right on the web.

What’s the correct answer for this question?

Answers

Answer:

Step-by-step explanation:

y=-5/2x-8

Brainliest if correct

Answers

Answer:

v = 176

Step-by-step explanation:

Since a fraction is essentially the same thing as dividing one number by another, we can multiply 44 by 4, the denominator of the fraction we are finding the numerator for, and get 176. This fraction is already in negative form, so we don't need to do anything else.

solve for p..........​

Answers

Answer:

the answer is p = 15

Step-by-step explanation:

first you set the equation to 2p + 9 = 3p - 6

then solve out the equation by adding 6 to both sides

the equation will now look like this, 2p + 15 = 3p

now you subtract 2p from both sides

the equation now looks like 15 = p

I always flip my equations so I can read it better,

p = 15

Hope this helps! :)

Five sand pails aligned side by side contain a total of 100 seashells. Each bucket contains two seashells fewer than the bucket to its left. How many seashells are in each bucket?
a.
24, 22, 20, 18, 16
c.
20, 18, 16, 14, 12
b.
30, 28, 26, 24, 22
d.
26, 24, 22, 20, 18

Answers

Answer:

A

Step-by-step explanation:

Because it said 100 sea shells and 2 fewer and each bucket.

Bucket B contains 130 which is way more.

Bucket c contains only 80

Bucket D contains 110 so it has to be A.

Have a great day!  :)

Determine mrs chaukes annual income if she earns R32040 per month

Answers

[tex]\huge\fbox{Answer ☘}[/tex]

Mrs. Chaukes' income for 1 month = ₹ 32,040

Mrs. Chaukes' income for 12 months or 1 year = [tex] \bold\blue{32040 \times 12 = ₹ 3,84,480}[/tex]

hope helpful ~

Mrs. Chauke's annual income if she earns R32 040 per month is

R384 480​

The given parameters are:

Hourly rate = R180

Work time = 8 hours a day

Monthly income = R32040

There are 12 months in a year.

So, the annual income is:

Annual = 32040 * 12

This gives

Annual = 384480

Hence, Mrs. Chauke's annual income if she earns R32 040 per month is

R384 480​

Read more about rates at:

https://brainly.com/question/2375289

Subtract 10x^2– 10x + 2 from - 8x^2 + 7x–7

Answers

here is your answer...

2x^2-3x-5

16-18 help please !!!!!!

Answers

Answer:

not sure but -2

Step-by-step explanation: I did on calculator

-2
16-18= -2
since 18 is a larger number than 16 the answer would go into a negative

In the figure below, KL=9 and JK=4. Find JL.

Answers

Answer:

JL → 13

Explanation:

JL → JK + KL

JL → 4 + 9

JL → 13

JL be x

JK+KL=JLx=9+4x=13

JL=13

what will 5: ? if 1:9

Answers

Answer:

5:45

Step-by-step explanation:

because you multiply 5 by 9

Please Mark brainliest i need 3 more


The number of classified documents has increased approximately linearly from 8.2 million documents in 2001 to 17.4 million documents in 2005. Let n be the number
of documents (in millions) labeled as classified in the year that is tyears since 2000. Find
an equation of a linear model to describe the data.

Answers

Answer:

  n -8.2 = 2.3(t -1)

Step-by-step explanation:

You are given definitions for the variables t and n, along with two data points:

  (t, n) = (1, 8.2) and (5, 17.4)

The slope of the line between these points is ...

  m = (y2 -y1)/(x2 -x1)

  m = (17.4 -8.2)/(5 -1) = 9.2/4 = 2.3

The equation can be written in point-slope form as ...

  y -k = m(x -h) . . . . . . line with slope m through point (h, k)

  n -8.2 = 2.3(t -1) . . . . a linear model describing the data

______

Additional comment

If we eliminate the parentheses and add 8.2, we get the point-slope equation ...

  n = 2.3t +5.9

Find the perimeter of the figure.

O 129 in.
O 1975 in.
O 179 in
O 89.5 in.

Answers

Answer: C

Step-by-step explanation:

Assuming this is a rectangle, P=2l+2w.

Substituting in the dimensions,

P=2(39.5+50)=179

If f(x) = 6x - 9 and g(x) = x + 6,
which statement is true?
Click on the correct answer.
6 is not in the domain of fog.
6 is in the domain of fºg.

Answers

The correct answer is,
6 is in the domain of f(g).

This is because the domain of the composition function is -infinite to +infinite therefore 6 is a real positive number making it part of the domain as shown in the graph below :)


Which proportion could be used to determine if the figures represent a dilation?



A. 2/3 = 5/8

B. 2/3 = 8/5

C. 2/8 = 5/3

D. 2/8 = 3/5


‼️HELP ME I NEED THIS ASAP. ‼️ LIKE IN 40 MINUTES . HELP ME OUT PLEASE. MUCH LOVE

Answers

Answer:3/2=6

Step-by-step explanation:

plssss help!!!!! #2 #3 #4​

Answers

Answer:

See below

Step-by-step explanation:

#4

Area of triangle:

A = 1/2bhA = 1/2*20*48 = 480 ft²#5

Area of rectangle:

A = abA = 6.25*4.5 = 28.125 ft²#6

The recipe calls for 1/3 cup of milk.

Half of the recipe requires:

1/2*1/3 = 1/6 cup of milk

Jeff has 242 DVDs. He has 2 shelves that can each hold 120 DVDs. Does he need to buy another shelf

Answers

Answer:

Here's my way

Step-by-step explanation:

he has 242, and 2 shelves for 120

120 + 120 = 240,

which leaves 2 off.

so, either you can put:

"Yes, because he has 2 remaining" (Not recommended)

Or

"No, because he put 240 on the shelves , he can put the other 2 somewhere else" (Recommended)

find the value of Y, that make the distance from A to B equal to the given distance. A(3,y), B(6,2);D=5​

Answers

the correct answer is y= -2

Of the 44 players attributed to a playwright 11 are comedies 17 are tragedies and 16 are histories if one play is selected at random find the odds against selecting a tragedy

Answers

Step-by-step explanation:

since the total number of players is 44, the Universal set will also be 44.

let C be the set for Comedy

let T be the set for Tragedy

let H be the set for Histories

ξ = { 44 }

C = { 11 }

T = { 17 }

H = { 16 }

probability T = (17/44)

odds of selecting T = probability not T

= 1 - probability T

= 1 - ( 17/44)

= 27/44

you need to give the answer as a ratio of odds of selecting T against chances of selecting T;

if out of 44 players, the chances of not selecting T is 27 and the chances of selecting T is 17, then:

odds against selecting random is, 27: 17

that's the answer. hope this helps you!

-s.

T

.
>
X
Here is a problem and its solution.
Explain how to go from the problem to the solution.
Be as detailed as possible.
Use the sketch tool if it helps you show your thinking.
Determine the value of this expression.
5
.
8
5
Sub
Solution
28


I will mark the brainliest whoever answers first :D
5

Answers

Answer:

First you need to make 3 1/2 into a improper fraction so you multiply 3 x 2 and then add 1 which is 7/2. Next you need to divide it by 5/8. So to divide fraction you have to do K.C.F. (Keep, change, flip). So you keep the 7/2 change the division symbol to a multiplication symbol. and then flip the 5/8 into 8/5. So the whole problem would be 7/2 x 8/5. next you just multiply.

7 x 8 = 56

2 x 5 = 10

next you just need to simplify into the smallest fraction and you can simplify both by 2. So 56 / 2 = 28 and 10 / 2 = 5. That's how the solution is 28/5.

Also, the value of the expression 5 x 8/5 is 25/8.

Answer:

make 3 1/2 into a improper fraction by multiplying the 3 and the 2 in the denominator together and then add 1 in the numerator to get 7 then make it 7/2 since the 2 was the denominator in the mixed fraction. Then keep the 7/2 the same turn the division symbol to a multiplication symbol then turn the 5/8 into 8/5 by flipping it then multiply. 7×8= 56 2×5=10 now you have 56/10 so you need to simplify. 2 is common between 56 and 10 so you multiply 56/10 and 2 together. 56÷2= 28 and 10÷2= 5 so now it is 28/5.

let f(x)=|2x+10| and g(x)=|2x-24|. find all the values of x for which f(x)=g(x).

Answers

Answer:

8.5

Step-by-step explanation:

two cases:

1) 2x + 10 = 2x - 24, 10 = -24, impossible!

2) 2x + 10 = -(2x - 24)

2x + 10 = -2x - 24

4x = 34

x = 34/4 = 17/2 = 8.5

What is the best estimate of the figure below?

Answers

Answer:

28.5 in²

Step-by-step explanation:

It is assumed you need to find the area of the figure.

The figure comprises of a rectangle with sides of 6 in x 4 in and semicircle with the diameter of 6 in.

The area of the figure:

A = 6*4 + 1/2*3*(6/2)² = 24 + 4.5 = 28.5 in² (put π = 3 just for estimating the area)

Look at the picture I need your help

Answers

x = ~29 ft

h = ~34 ft

(explanation in image)

Joel was looking at the bottom of a three-dimensional shape and saw a rectangle. Which three-dimensional shape could he not have been looking at?
A. rectangular pyramid
B. rectangular prism
C. cube
D. triangular pyramid

Answers

Answer:

d have a great guys :D

Step-by-step explanation:

Find the apothem of a regular 12-gon (12-sided polygon) if each side is 4.2 cm, and has
an area of 197 sq. cm.

Answers

Answer:

  7.8 cm

Step-by-step explanation:

The relevant formula is ...

  A = 1/2aP . . . . where a is the apothem, and P is the perimeter.

For a regular 12-gon the perimeter is 12 times the side length, so we have ...

  P = 12s = 12(4.2 cm) = 50.4 cm

Then the apothem is found from ...

  197 cm² = (1/2)a·(50.4 cm)

  a = 197/25.2 cm ≈ 7.81 cm

The apothem is about 7.8 cm.

__

Additional comment

A regular 12-gon with a side length of 4.2 cm will have an area of about 197.500 cm². The apothem will be about 7.837 cm. The area of a regular n-gon can be calculated from the side length as ...

  A = ns²/(4·tan(180°/n))

Similarly, the apothem will be ...

  a = s/(2·tan(180°/n))

It takes 2 minutes to fill a rectangular aquarium 8 inches long, 9 inches wide, 13 inches tall. How long will it take the same hose to fill an aquarium measuring 25 inches by 26 inches by 35 inches

Answers

Answer:

46.74 minutes

1/4•8/9•(-3/5)
thank you!

Answers

Answer:

-2/15

Step-by-step explanation:

because you first do 1/4 times 8/9 = 8/36

then you do 8/36 times -3/5 which then after you simplify you get -2/15

please mark brainliest i need 2 more!

Answer:

[tex] - \frac{2}{15} [/tex]

Step-by-step explanation:

[tex] \frac{1}{4} \times \frac{8}{9} \times \frac{ - 3}{5} [/tex]

[tex] \frac{1}{1} \times \frac{2}{3} \times - \frac{1}{5} [/tex]

[tex] - \frac{2}{15}[/tex]

Kaden is making loaves of bananna bread. He males 4 loaves of banana bread, and he uses 9 cups of flour in all. How mich flour does he use per loaf?

Answers

Answer:

2.25 cups

Step-by-step explanation:

9/4 = 2.25

9/4 which is 2 and 1/4 cups per loaf

Math Help Help Fast Alot of points

Answers

We know

At centroid the medians of all triangles bisect eachother at 2:1 ratio

So

PV:VT=2:1

[tex]\\ \tt\hookrightarrow 16:VT=2:1[/tex]

[tex]\\ \tt\hookrightarrow VT=8[/tex]

RV:VS=2:1

[tex]\\ \tt\hookrightarrow 18;VS=2:1[/tex]

[tex]\\ \tt\hookrightarrow VS=9[/tex]

PT=16+8=24units

[tex]\\ \tt\hookrightarrow VU:QU=1:3[/tex]

[tex]\\ \tt\hookrightarrow VU:39=1:3[/tex]

[tex]\\ \tt\hookrightarrow VU=13[/tex]

Two​ vehicles, a car and a​ truck, leave an intersection at the same time. The car heads east at an average speed of 30 miles per​ hour, while the truck heads south at an average speed of 40 miles per hour. Find an expression for their distance apart d​ (in miles) at the end of t hours.

Answers

Step-by-step explanation:

the car distance to the intersection will be

30t (30 miles for every hour).

the truck distance to the intersection will be

40t (40 miles for every hour).

the distance between the car and the truck will always be the Hypotenuse of a right-angled triangle with the legs being the actual distances from the starting intersection.

so, we use Pythagoras :

d² = (30t)² + (40t)² = 900t² + 1600t² = 2500t²

d = sqrt(2500t²) = 50t

so, their distance will increase 50 miles every hour.

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