A small theater sold 72 tickets for a
play. The ratio of adult tickets to child
tickets was 4:1. The ratio of adult
tickets to senior tickets was 4:3.

Answers

Answer 1

Answer:

Number of child tickets = 9

Number of adult tickets = 36

Number of senior tickets = 27

Step-by-step explanation:

Given:

The ratio of adult tickets to child tickets = 4:1

Ratio of adult  tickets to senior tickets = 4:3

Number of total tickets = 72

Find:

The number of each ticket.

Computation:

Ratio between Adult to senior to child = 4:3:1

So,

Number of child tickets = [1 / (4+3+1)]Total tickets

Number of child tickets = [1 / (8)]72

Number of child tickets = 9

Number of adult tickets = [4 / (4+3+1)]Total tickets

Number of adult tickets = 36

Number of senior tickets = [3 / (4+3+1)]Total tickets

Number of senior tickets = 27


Related Questions

If f(x) = 5x + 40, what is f(x) when x = -5?
N
ܩ ܣ
15

Answers

Answer:

15

Step-by-step explanation:

f(x)=5x+40

so f(5)=5(-5)+40

f(5)= -25+40

f(5)=15

What is the measure of angle SQR please help

The options are
A.) 132°
B.) 55°
C.) 134°
D.) 93°

Answers

Answer:

D i think

Step-by-step explanation:

Classify COB in the image above as either acute, obtuse, right, or straight angle.

Answers

Answer:

Number 2 obtuse

Step-by-step explanation:

Answer:

∠COB is obtuse angle

Explanation:

I attached an image showing how to tell the difference between an acute, obtuse, right, and straight angle.

We can clearly see, just by looking at the image. ∠COB is an obtuse angle

Which statements are true when using algebra tiles to solve the equation 8x + (–4) = 11x + 5? Check all that apply.

Answers

Answer:A D and E

Step-by-step explanation:

Answer:

Step-by-step explanation:

A, D, and E.

Consider the system of equations. y = –5x – 1 y = 2x + 6 Choose the correct answer to each question. What is the slope of the first line? What is the slope of the second line? How many times do the lines intersect? How many solutions does the system have?

Answers

What is the slope of the first line?  

✔ –5

What is the slope of the second line?  

✔ 2

How many times do the lines intersect?  

✔ 1

How many solutions does the system have?  

✔ 1

Answer:

Step-by-step explanation:

-5x - 1 = 2x + 6

-7x - 1 = 6

-7x = 7

x = -1

y = -5(-1) - 1 = 5 - 1 = 4

(-1. 4)

first slope: -5

second slope: 2

once

one

Given the diagram below with line DE║ line AC. Find BC.

Answers

Answer:

13.5

Step-by-step explanation:

In triangle ABC, DE || AC

Therefore by basic proportionality theorem:

[tex] \frac{BD}{DA} = \frac {BE}{EC} \\\\

\therefore \frac{4}{8} = \frac {BE}{9} \\\\

\therefore \frac{1}{2} = \frac {BE}{9} \\\\

\therefore BE = \frac{9}{2} \\\\

\therefore BE = 4.5\\

\because BC = BE + EC \\

\therefore BC = 4.5 + 9\\

\huge \red {\boxed {\therefore BC = 13.5}} \\[/tex]

can you add a fraction and a whole number.give and example​

Answers

Step-by-step explanation:

if you have a whole number and fraction you can simply at them together, which results in what's called mixed number .

example : the mixed number 8 3/4 is understood to mean the same thing as

8 + 3/4.

Given the graph below, which of the following statements is true?

Answers

Since there is nothing attached for me to help you I looked for a website that can find the answer with an explanation. It is called quickmath it’s like a math calculator . Hopefully that helps you .

How many days are in 6 weeks not including weekends ?

Answers

Answer:

30 days

Step-by-step explanation:

There are 6 * 7 = 42 days in 6 weeks.

There are 2 * 6 = 12 weekends in 6 weeks.

42 - 12 = 30

Answer:

30 days

Step-by-step explanation:

Noah says:
I am thinking of a number,
When I subtract 17 and
multiply the answer by
8, I get 32.
What is Noah's number?​

Answers

Answer: 21

Explanation:

21 - 17 = 4
4 * 8 = 32

Therefore the number is 21

Answer:

21

Step-by-step explanation:

You subtract 17 (x - 17) and multiply the answer by 8 (8(x - 17)).  This is equal to 32.  Solve for x

8(x - 17) = 32

8x - 136 = 32

8x = 168

x = 21

Find the distance between the pair of points: (0,-8) and (0,4)

Answers

Answer:

12 units

Step-by-step explanation:

distance formula

Determine the value of a. answers: A) 10 B) 6 C) 7 D) 70

Answers

Answer:

C

Step-by-step explanation:

Since triangles TUS and QRS are similar, if TUS is isosceles then so is QRS. This means that all corresponding proportions are at a constant ratio. So if TS=US, QT=RU and therefore a=7. Hope this helps!

Answer:

a =7

Step-by-step explanation:

The triangles are similar so we can use ratios

10           10

------  = --------

10+a      10+7

Since the numerators are the same, the denominators have to be the same

10+a = 10+7

a = 7

If f(x) = x2 − 81 and g(x) = x+9/x-9, find g(x) · f(x).

Answers

Answer:

f(x) = x² - 81 = ( x+ 9)(x - 9) Difference of two squares

g(x) = x+9/x-9

g(x) . f(x) = x + 9/ x - 9 × (x+9)(x - 9)

= ( x + 9)(x +9)

= ( x + 9)²

= x² + 18x + 81

Hope this helps.

Write 0.03 as percents.

Answers

Answer:

3%

Step-by-step explanation:

Just move the decimal 2 spaces to the right .03 becomes 3% :)

0.03 as a percentage is 3%. Hope that helped:))

At the beginning of the week, a puppy weighed 5/14 pounds. During the week, the puppy gains 8 ounces.

How much does the puppy weigh, in pounds, at the end of the week?

Enter your answer as a mixed number in simplest form by filling in the boxes.

Answers

Answer:

51/12

as a mixed number

4 1/4

Step-by-step explanation:

first you add 8 to 4 which is 12

so the improper fraction would be 51/12

how to turn it in to a mixed number in simplest form

step 1 - Find Whole Number

Calculate out how many times the denominator goes into the numerator. To do that, divide 51 by 12 and keep only what is to the left of the decimal point:

51 / 12 = 4.2500 = 4

Step 2 - Find New Numerator

Multiply the answer from Step 1 by the denominator and deduct that from the original numerator.

51 - (12 x 4) = 3

Step 3 - Put Together

Keep the original denominator and use the answers from Step 1 and Step 2 to get this:

4  

   3  

   12  

Step 4 - Minimize

Minimize the fraction part from Step 3 by dividing the numerator and denominator by 3, which is the greatest common factor, to get the final answer. 51/12 as a Mixed Number is:

4  

   1  

   4  

Solve: 3 In x= In 216
O x= 3
0 x = 6
OX= 72
DONE
ANSWER IS B
X=6

Answers

Answer:

x = 6

Step-by-step explanation:

3 ln x = ln 216

Rewrite 216 as 6^3

3 ln x = ln 6^3

We know that ln a^b = b ln a

3 ln x = 3 ln 6

x = 6

If h(x) is the inverse of f(x), what is the value of h(f(x))?
N
0
х
f(x)

Answers

Answer:

If f and h are inverses, then:

f (h(x) ) = x   and also

h( f(x) ) = x

Step-by-step explanation:

Inverse function: The function f(x) goes from domain to range and the inverse function f^{-1} goes from Range to domain

Option C is correct

I would appreciate it if you marked me brainliest :)

Solve for X 4x−1 =3 Answer:

Answers

Add 1 to both sides of the equation to get 4x = 4.

Divide both sides by 4 and x = 1.

Answer:

x= 1

Step-by-step explanation:

4x-1=3

    +1 +1

4x=4 (divide both sides by 4 to get x alone)

x=1

2. Solve this problem: There will be 460 people at the sport's award banquet. If each table seats 8 people, how many tables are needed?

A. 3,680 tables

B. 57 tables

C. 58 tables

D. 452 tables

Answers

There are 58 tables!

Answer:

C. 58 tables

Step-by-step explanation:

If there are 460 people, and each table seats 8 people, then we divide 460 by 8, giving us 57.5 tables. We cannot have a half of a table, so the answer is 58 tables.

What is the definition of the cosine ratio of an acute angle of a triangle?

opposide side / hypotenuse


adjacent side / opposite side


opposite side / adjacent side


adjacent side / hypotenuse

Answers

Answer:

I think the answer is the last one

adjacent side / hypotenuse

Write 3/10 as a division

Answers

Answer:

3 divided by 10.

Step-by-step explanation:

I'm slightly confused as to what you're asking about, but I could only assume that you want me to represent that fraction as a division problem. In that case, I have listed the answer above. If you want it in decimal form, it is 0.3.

Answer:

I hope u get what ur looking for and I wish u give me brainlist But I know u won't cuz everyone say that . But thank you so much if u put for me and It would be a very appreciated from you and again thank you so much


Solve log x= 3.
x=3
x= 30
x= 1,000
x= 10,000

Answers

Log x = 3 > x=10^3 > x=1000 so the answer is 1000

The value of x must be equal to 1000

What is the logarithmic function?

In mathematics, the logarithmic function is an inverse function to exponentiation. The logarithmic function is defined as

For x > 0 , a > 0, and a ≠1,

y= logₐ x if and only if x = a^y

Then the function is given by

f(x) = logₐx

Given here  log x= 3 ⇒x=10³

                                 ⇒x=1000

Hence, The value of x must be equal to 1000

Learn more about the logarithmic function here:

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Find the solutions to the equation below.
Check all that apply.
2x^2+7x+3=0
O A. X=7
OB. X=4
OC. X=3
OD. X=-1/2
OE. X = 2
OF. X=-3

Answers

If X=7, the answer would be 150
If X=4, the answer would be 63
If X=3, the answer would be 42
If X=-1/2, the answer would be 0
If X=2, the answer would be 25
If X=-3, the answer would be 0



Therefore, OD. X=-1/2 and OF X=-3 are the answers that apply

The  solutions of the equation 2x²+7x+3=0 are x=-1/2 and x=-3.

What is quadratic equation?

A quadratic equation is a second-order polynomial equation in a single variable x , ax²+bx+c=0. with a ≠ 0 .

The given equation is 2x²+7x+3=0

Two times of x square plus seven times of x plus three equal to zero is the form of quadratic.

We can solve the quadratic equation  2x²+7x+3=0 using factoring

Let us find two numbers whose product is 2x²+7x+3=0 and

whose sum is 7.

We can see that 2x²+7x+3=0

Let us factor by grouping

2x²+6x+x+3=0

2x(x+3)+(x+3)

=(2x+1)(x+3).

x=-1/2 and x=-3

Therefore, the solutions are x=-3 and x=-1/2.

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Which phrase bost describes the translation from the graph y=(x+2)^2 to the graph of
y=x^2 + 3?

Answers

Answer:

C

Step-by-step explanation:

2 units right and 3 units up

Given f(x)=-x+6 and g(x) =f(x+3), write an equation for function g.

Answers

Answer:

G(x)=-(x+3)+6

Step-by-step explanation:

f(x) means that whatevers in the parentheses is x. In g(x) x is equal to x+3

please helppppppppppppppp fine x its high school geometry

Answers

First take triangle BDH. We know B is 46 degrees and D is 33 degrees. Since the angles of a triangle equal 180 we get
180 - 46 - 33 = 101 for H.
H is supplementary to x, so their sum is also 180. This gives 180 - 101 = 79.
So x is 79 degrees.

Solve for x. answers: A) 4 B) 6 C) 7 D) 5

Answers

Answer:

D) 5

Step-by-step explanation:

The smaller triangle is similar to the big triangle with the big triangle with a scale factor of 1.8.

5x × 1.8 = 45

Divide both sides by 1.8

5x = 25

Divide both sides by 5

x = 5

The answer is 5. Have a good day

If the cosine value is 80*, the secant value to the hundredths degree is: 0.98 0.17 5.76

Answers

Answer:  5.76

Work Shown:

sec(80) = 1/cos(80) = 5.75877048314363 which rounds to 5.76

Make sure your calculator is in degree mode.

factor x^2 + 12x + 36

Answers

Answer:

(x + 6 )(x + 6 )

2 numbers to add to 12 but also multiply to get 36

Answer:

(x+6)(x+6)

Step-by-step explanation:

x^2 + 12x + 36

What 2 numbers multiply to 36 and add to 12

6*6 =36

6+6 =12

(x+6)(x+6)

Amelia rented a DVD and it was due to be returned on the 26 November she acctually returned it to the shop on the 12 December. The rental shop applies a fine of 9p for everyday the DVD is overdue

Answers

Answer:

144 p

Step-by-step explanation:

It was due to be returned on 26 November but she returned it on 12 December.

She was therefore with it for an extra 16 days.

The fine is 9p per day. Therefore, she will pay a fine of:

9 * 16 = 144 p

Answer:

Amelia rented a DVD and it was due to be returned on 26 November. She actually returned it to the shop on 12 December. The rental shop applies a fine of 9p for every day the DVD is overdue.

Work out the total fine paid by Amelia. Give your answer in £

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