Mathematics College

The manager of a theater wants to know whether the majority of its patrons were adults or children. one day 5100 tickets were sold in the receipts totaled $22,210. The adult admission is $5.50, and the children’s admission is $3.50. How many adult patrons were there?

Answers

Answer 1

Answer:

x= 2,180

x= number of adult tickets sold

Step-by-step explanation:

First, we need to establish the system of equations:

x= number of adult tickets sold

y= number of children tickets sold

5.5x + 3.5y = 22,210

x + y = 5,100

Now, we isolate one variable in a formula and substitute its value in the other:

x= 5,100 - y

5.5*(5,100 - y) + 3.5y= 22,210

28,050 - 5.5y +3.5y = 22,210

2y= 5,840

y= 2,920

x= 5,100 - 2,920

x= 2,180

Related Questions

A 5x5 table is filled with numbers (one number per cell). It is known that the product of 5 numbers in each column is negative. Is it possible that the product in each row is positive?

Answers

Answer:

Yes

Step-by-step explanation:

A negative multiplied by another negative will turn into a positive. A positive multipled by a negative will stay as a negative.

What is the slope of the line through (2, 10) and (-2, 17)?

Answers

The slope would be -4/7

Trignometery: Sin Cos and Tan

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Answer:

766m (3 s.f.)

Step-by-step explanation:

Please see the attached picture for the full solution.

Sharif stared a new job working 15 hours a week after how many weeks will he have worked a total of 75 hours ?

Answers

Answer: 5 weeks

Step-by-step explanation: Please give me brainliest

Please help! I’ll venmo/ cash app $3 if you help or get right

Answers

X = 105

The circle is 360, so add the two numbers that are already present there together,. The rest two side are the same, so use 2x, x for one side, so two for two side.

85 + 65 + 2x = 360
150 + 2x = 360
2x = 210
x = 105

Hhtghiuufdssssssssdddrtyuiool

Easy math (17 points))

Answers

Answer:

A-8.25 B-43.2 C-248.5

Step-by-step explanation:

Answer:

A-8.25

B-43.2

C-248.5

Step-by-step explanation:

A committee is to consist of two members. If there are seven people
available to serve on the committee, how many different committees can
be formed

Answers

Answer:

Step-by-step explanation:

Common Sense

The number of different ways committees can be formed will be 21.

What are permutation and combination?

A permutation is an act of arranging items or elements in the correct order. Combinations are a way of selecting items or pieces from a group of objects or sets when the order of the components is immaterial.

A committee is to consist of two members.

If there are seven people available to serve on the committee.

If two people are selected from the group of seven people.

Then the number of different ways committees can be formed will be

⇒ ⁷C₂

⇒ 7! / [(7 – 2)! x 2!]

⇒ 7! / [5! x 2!]

⇒ 7 x 6 x 5! / [5! x 2 x 1]

⇒ 7 x 6 / 2

⇒ 7 x 3

⇒ 21

Thus, the number of different ways committees can be formed will be 21.

More about the permutation and the combination link is given below.

https://brainly.com/question/11732255

#SPJ2

How do I write this expression in fewer terms?
9m + k - (3m-2k)

Answers

let's start by applying the negative to (3m-2k)

since a negative x positive is a negative, and a negative x negative is a positive, we get

9m + k - 3m + 2k

let's simplify

9m - 3m + 2k + k

ANSWER
6m + 3k

The answer to this question is 3(2m+k) because this has been simplified. You just need to collect terms together! 3(2m+k)

32) Write a compound inequality that represents the given graph:

A. 6≤x 10
D. 6

Answers

Answer:

6 < x ≤ 10

Step-by-step explanation:

The graph given shows that the possible value of x greater 6 (does not include 6 because the circle is not full) and also is less than or equal to 10 (includes 10 because the circle is full).

That is: x > 6 and x ≤ 10

This can be written as: 6 < x ≤ 10

What's 10.08 rounded to the nearest one?

Answers

Answer:

Step-by-step explanation:

A swimming pool and deck are built in a rectangle with length 40 ft and width 18 ft. If the pool itself is
320 square feet, what is the area of the deck itself?
A. 320 square feet
B. 400 square feet
C. 480 square feet
D. 560 square feet

Answers

Answer: 400

Explanation:

40 x 18 = 720

720 - 320 = 400

i need help with finding area whats the area of a 11ft an 6ft rectangle

Answers

Hello!

[tex]\large\boxed{A = 66ft^{2}}[/tex]

Formula for the area of a rectangle:

A = b × h where:

b = base

h = height

We are given the base and height as 11 ft and 6 ft, so use the equation above to solve for the area:

A = 11ft × 6ft

A = 66ft²

Amy rides her bicycle for 3 hours at a speed of 40 miles per hour. What distance does she travel? Immersive Reader (1 Point) 13.3 miles 0.075 miles 120 miles 43 miles

Answers

Answer:

120

Step-by-step explanation:

3 * 40 = 120

use a number line to show the following operations (a) -5+7-2 (b) -4×3 (c) 3.5+4.5

Answers

Hey there!

• A.

–5 + 7 – 2 = ?

–5 + 7 = 2

2 – 2 = 0

Answer: 0 ☑️

• B.

–4 * 3 = ?

“Guide”

• Negative & Negative = Positive

• Positive & Positive = Positive

• Negative & Positive = Negative

• Positive & Negative = Negative

• So, in this particular equation your answer will most likely have a NEGATIVE result because you have a NEGATIVE number & a POSITIVE number!

–4 * 3 = –12

Answer: –12 ☑️

• C.

3.5 + 4.5 = ?

5 + 5 = 10

• CARRY your 1

3 + 4 + 1 = ?

3 + 4 = 7

7 + 1 = ?

Answer: 8 ☑️

You basically had to do ORDER OF OPERATIONS / PEMDAS

(Parentheses, Exponents, Multiplication, Division, Addition, and Subtraction)

Good luck on your assignment and enjoy your day!

~LoveYourselfFirst:)

Evaluate -2 - 6y when x=5 and y =-3

Answers

Answer:

-10-6.(-3)

-10+18

Step-by-step explanation:

hi can you help me answer this?

Answers

Answer:

C.112

Step-by-step explanation:

i can confirm that the answer for this is indeed C

Rational numbers are fractions or their opposites. is a rational number. Show this by writing it in the form , where a and b are integers.

plz help

Answers

Answer:

Explained below

Step-by-step explanation:

A rational number is one that can be expressed in form a of a fraction whereby both the numerator and the denominator are integers.

Also, if it results in a recurring decimal it is still a rational number but if the decimal is not recurring, then it is not a rational number.

Now, for example let's consider the number 5.

It is a rational number because it can be expressed as; 5/1; 10/2; 20/4; -5/-1 e.t.c

Now, the opposite of these fractions like we are told to check in the question results in;

1/5; 2/10; 4/20; -1/-5;

The opposite will give us still a rational number because both numerator and denominator are still integers and also the value of the division is 0.2 which is a definite decimal and also can be expressed as an integer.

What type of polynomial is this and what is its degree?
5b3 - 3 + 6b

Answers

Answer:

3rd degree trinomial

Step-by-step explanation:

the highest power is 3 and there are 3 terms so its a 3rd degree trinomial

Please find x....................

Answers

Answer:

x = 14.1

Step-by-step explanation:

Reference angle = 62°

Side opposite to reference angle = x

Hypotenuse = 16

Applying trigonometric ratio, thus:

Sin 62 = x/16

Multiply both sides by 16

16*sin 62 = x

14.1271615 = x

x = 14.1 (nearest tenth)

Help plz:)))I’ll mark u Brainliest

Answers

Answer:

ST = 8 m

Step-by-step explanation:

Since ∆PQR is congruent to ∆STU, therefore, the three sides of ∆PQR would be congruent or equal to the corresponding three sides of ∆STU.

PQ corresponds to ST.

Therefore, PQ is congruent to corresponding side ST, which is 8 m

ST = 8 m

I will give brainiest to whoever answers correctly !!

Answers

Answer:

14.0

Step-by-step explanation:

14.096 rounded to the nearest tenth

Use the following sets to answer the following:
Y: The set of yellow attribute pieces
H: The set of hexagonal attribute pieces
SY: The set of small yellow attribute pieces
SB: The set of small blue attribute pieces
L: The set of large attribute pieces
1. Which pairs of sets, if any, can be put into one-to-one correspondence?
2. Which pairs of sets, if any, are equal?
3. Which pairs of sets, if any, are disjoint?
4. Which set is a proper subset of another?
5. Which attribute pieces are in Y ∩ L?
6. Which attribute pieces are in Y UL?

Answers

Answer:

i have no clue

Step-by-step explanation:

tbh

what is 117 ÷12 equal

Answers

Answer:

9.75

Step-by-step explanation:

halona walks 1.93 kilometers in 23 minutes, assuming constant speed write a proportion that represents how many kilometers in x minutes

Answers

Dividing 1.93km by 23 minutes, you get 0.083 km per minute, or 5.03 km per hour

15-[14/(15-8)+13-14]•
10

Answers

Answer:

Step-by-step explanation:

15-(2+13-14)×10 (beacuse 14÷7=2)

15-(15-14)×10

15-1×10

15-10

5 ans

The ratio of red to blue counters
in a bag is 1 : 4 The ratio of blue to
green counters is 2:3
If there are 20 red counters how
many green counters are there?

Answers

i’m not sure but i think it’s 120

What is the measure of 21?
13
126°
A
54°
B.
440
36°
126°

Answers

Answer:

<1 =126

Step-by-step explanation:

<2 = 126 since they are vertical angles

<1 = <2 since they are alternate interior angles

<1 =126

Television screens are usually described by the length of their diagonal measure. What would the diagonal measure be for a television whose dimensions are 54 inches by 28 inches?
A) 61 inches
B) 71 inches
C) 81 inches
D) Unable to determine with given data.

Answers

Answer:

Step-by-step explanation:

61 inches

Step-by-step explanation:

61inches is answer.. .. ..

PLS HELP ASAP
WILL MARK BRAINLIEST

Answers

Answer:

first blank is x, then -7, then 11, then -11.

Step-by-step explanation:

Hope it helps!

A circle has a diameter of 18
m. Find the area of the sector
whose central angle is 135º

Answers

Answer: i think i would be half of it

Step-by-step explanation:

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