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

What is the equation of the line that has a slope of 14
and goes through the point (8,−3)?

y=1/4x−5

y=1/4x+5

y=1/4x−11

y=1/4x+1

Answers

Answer:

y=1/4x+1

please mark as brainliest

1 A farmer needs to plow a 8-acre field. She starts by plowing – of the field. 6 How many acres does the farmer plow?​

Answers

Tbh im guessing 18 or 22

All of the following would make a formal proof incomplete except what?
A) A lack of justifications
B) Incomplete sentences
C) Errors in logic
D) Incorrect reasons for statements
Urgent I need this for tonight please!!!

Answers

Answer:

b incorrect sentences

Step-by-step explanation:

got it right on my test

Which of the following statements are true?
The value of the 5 in 592,841 is 10 times the value of the 5 in 358,764.
The value of the 6 in 861,257 is 10 times the value of the 6 in 651,042.
The value of the 8 in 358,764 is 10 times the value of the 8 in 592,841.
The value of the 5 in 592,841 is in of the value of the 5 in 358,764.
The value of the 6 in 861,257 is in of the value of the 6 in 651,042.
The value of the 8 in 358,764 is id of the value of the 8 in 592,841.

Answers

The value of the 5 in 592,841 is 10 times the value of the 5 in 358,764

Answer:

5/6 is eaqual to 2.5/3

Step-by-step explanation:

A bird leaves its nest and travels 18 miles per hour downwind for x hours. On the return trip, the bird travels 3 miles per hour slower and has 5 miles left after x hours.

a. What is the distance of the entire trip? (In miles)

b. How long does the entire trip take? (In hours and minutes and seconds)

Answers

9514 1404 393

Answer:

60 miles3 hours 40 minutes 0 seconds

Step-by-step explanation:

The relation between speed, distance, and time is ...

  distance = speed × time

a) The distance the bird traveled downwind is ...

  (18 miles/hour)(x hours) = 18x miles

3 miles per hour slower than 18 miles per hour is 15 miles per hour. So the distance in miles the bird traveled after x hours on the return trip is ...

  15x = 18x -5

  5 = 3x . . . . . . add 5 -15x

  x = 5/3 . . . . . .divide by 3

Then the distance traveled downwind is ...

  18x = 18(5/3) = 30 . . . . miles

and the time for the return trip is ...

  (30 mi)/(15 mi/h) = 2 h . . . . . for the entire return trip

So, the entire round trip is 2×30 miles = 60 miles.

__

b) The time for the entire trip is ...

  5/3 h downwind + 2 h return = 3 2/3 h = 3 hours 40 minutes 0 seconds

Write an equation of the line that has a slope of -5 and a y intercept of 4 in slope intercept form.

PLEASE HELP!!!

Answers

Y=-5x+4
Hope this helps:)
y = mx+b
m = slope
b = y-intercept

Ans: y = -5x + 4

Compare the values.

9 × 10^2 is _____ times as much as 3 x 10^-2.

A) 6 x 10^4
B) 3 x 10^-4
C) 3 x 10^4
D) 6 x 10^0

please i need help **Will mark BRAINLIEST**​

Answers

the answer is C) 3 x 10^4

How do you write 0.060 in scientific notation?

Answers

Move the decimal so there is one non-zero digit to the left of the decimal point. The number of decimal places you move will be the exponent on the 10. If the decimal is being moved to the right, the exponent will be negative. If the decimal is being moved to the left, the exponent will be positive.

[tex]6 \times 10 {}^{ - 2} [/tex]

What is the slope of a line that is perpendicular to the graph ofy = 7x+1?

Answers

Using the slope-intercept form, the slope is −7 .

Answer: 4pi , second part is 5pi/2 + 4npi and third part is 7pi/2 + 4npi

Step-by-step explanation: Edge 2021

k I need help again the last part says triangles​

Answers

Answer

C

One side is 3, another is 6, and the last side is 9

Hope this helps :)

Pls give me BRAINLIEST

three-fourths of the sum of six times a number and twelve distribute

Answers

Answer:

Step-by-step explanation:

Let x be the number.

6 times the number = 6*x = 6x

Sum of 6 times of a number and twelve = 6x + 12

Three-fourths of the sum of 6 times of a number and twelve = [tex]\frac{3}{4}(6x +12)[/tex]

[tex]\frac{3}{4} ( 6x + 12) = \frac{3}{4}*6x + \frac{3}{4}*12\\\\[/tex]

                [tex]= \frac{3}{2}*3x + 3*3\\\\=\frac{9}{2}x + 9[/tex]

order 9%, 0.03, 0.7% and 0.004 from least
to greatest

Answers

0.004, 0.03, 9% , 0.7%

Part 1: Determine the domain.
DOMAIN:

Answers

Answer:

The domain is -2 to positive 2.

Will give Brainly
Find the measure of b.

Answers

Answer:

b= 90 degrees

Step-by-step explanation:

opposite sides

can someone please help meeee

Answers

you need to use pythagorean theorem to find x
97^2 = 9409
65^2 = 4225
4225 + b^2 = 9409
b^2 = 5184
b = 72

then you need to add 65 and 72 to get 137
137 - 95 = 42
42 kilometers closer

10.12 ÷ 4.4 =
A
0.23

B
2.3

C
5.72

D
57.2

Answers

Answer:

The answer is 2.3 B It is just by dividing

Answer:

B. 2.3

Step-by-step explanation:

Change the divisor 4.4 to a whole number by moving the decimal point 1 place to the right. Then move the decimal point in the dividend the same, 1 place to the right.

We then have the equations:

101.2 ÷ 44 = 2.3

and therefore:

10.12 ÷ 4.4 = 2.3

Find the local maximum and minimum values of f(x)=x^3-6x^2+5

Answers

Answer:

Local maxima at x=0

Local minima at x=4

Step-by-step explanation:

Find the length of XY.

Answers

Answer:

XY = 50

Step-by-step explanation:

Triangle given in the picture,  

Point B, C and D are the midpoints of the sides of the triangle.

By applying midsegment theorem in the given triangle,

"Segment joining the midpoints of two sides of a triangle is parallel and half of the length of the third side"

CD = [tex]\frac{1}{2}(XY)[/tex]

25 = [tex]\frac{1}{2}(XY)[/tex]

XY = 50

Therefore, XY = 50 is the answer.

There are 100 classes at Sun Valley Magnet School. 45% of the classes are Math and Science. How many classrooms are not Math and Science?

Answers

Do 100-45 and you get 55. So it is 55 classrooms that are not Math and Science.

what is the equation

Answers

ExplanationPoint-Slope Form

[tex]y - y_1 = m(x - x_1)[/tex]

[tex]y_1 = y - coordinate \: \: point \\ x_1 = x - coordinate \: \: point[/tex]

From the given equation.

[tex]y + 8 = 4(x - 5)[/tex]

[tex]y - ( - 8) = 4(x - ( + 5))[/tex]

Answer

[tex] \large \boxed{( - 8,5)}[/tex]

What is the solution to the inequality 5.25- b
6.5?

Answers

-b > 6.5 - 5.25

b < 1.25

Hope this helps!

/////////////////////////////////////////////////////////////////////////////////////////////////////////////

Which number is 1/10 the value of 600?

Answers

Answer:

60

Step-by-step explanation:

Simply multiply to find your answer:

Answer = 600 x 1/10

Simplify. Divide:

600 x 1/10 = 600/10 = 60

60 is your answer.

~

Answer:

[tex] \frac{1}{10} th \: of \: the \: value \: 600 \\ \frac{1}{10} \times 600 \\ 60 \: is \: the \: required \: number.[/tex]

47 + 34 - 3k ТІЗk + Зk
solve for k show your work

Answers

Answer:

47+34= 3k + 3k + 3k + 3k

Step-by-step explanation:

Sally goes to the store and buys a camera for $65. The store is
running a discount of 10%. What is the price of the camera after the
discount?

Answers

$58.50 hope it helps

Answer:

58.50

Step-by-step explanation:

If P(A) = .80, P(B) = .65, and P(A ∩ B) = .78, then P(B | A) =

Answers

Answer:

P(B | A) = 1.2

Step-by-step explanation:

Given

P(A) = .80P(B) = .65P(A ∩ B) = .78

To determine

P(B | A) = ?

Using the formula

P(B | A) = P(A ∩ B) / P(B)

             =  .78 / .65

             = 1.2

Therefore,

P(B | A) = 1.2

Dan invests £1600 into his bank account. He receives 3.5% per year simple
interest. How much will Dan have after 2 years? Give your answer to the
nearest penny where appropriate.

Answers

Answer:

171200 pennies

Step-by-step explanation:

Amount after 2 years = Principal + Interest

Given

Principal = £1600

Rate = 3.5%

Time = 2years

Get the interest

Interest = PRT/100

Interest = 1600*3.5*2/100

Interest = 32 * 3.5

Interest = £112

Get the amount after 2 years;

Recall that:

Amount after 2 years = Principal + Interest

Amount after 2 years = 1600 + 112

Amount after 2 years  = £1712

Hence the amount Dan will have after 2 years is £1712

1712 pounds = (1712 * 100)penny

1712 pounds = 171200 pennies

I need help with this word problem please

Answers

Answer:

Step-by-step explanation:

Given function is,

f(x) = [tex]x\sqrt{x}[/tex]

We can rewrite this function as,

f(x) = [tex]x^{\frac{3}{2}}[/tex]

a). Domain of the function is [0, ∞)

Derivative of the function in this domain,

f'(x) = [tex]\frac{3}{2}x^{(\frac{3}{2}-1)}[/tex]

     = [tex]\frac{3}{2}x^{\frac{1}{2}}[/tex]

Since, f'(x) > 0 in the interval [0, ∞)

Function is increasing in the interval [0, ∞)

b). For local maxima and local minima,

  Second derivative of the function,

  f"(x) = [tex]\frac{3}{2}(\frac{1}{2})x^{\frac{1}{2}-1}[/tex]

         = [tex]\frac{3}{4}x^{-\frac{1}{2}}[/tex]  > 0

   So the function should have a local minima.

   But the function is continuous in the interval x ≥ 0,

   There is no local minima (only absolute minima).

c). Since, second derivative is undefined at x = 0,

   There are no inflection points.

d). Since, f"(x) > 0 in the interval [0, ∞)

   Concavity of the curve is UPWARDS.

Solve each of the following equations.
(4b + 11)(3b - 7) = 0​

Answers

Answer:

4b = 4(11/4)

3b = 3(7/3)

if there is one store and they are selling 10 pens for 8.99 and they are selling 25 pens for 19.75 witch one is better explian

Answers

25 pens is better because if you see the cost of one it will be cheaper

The tax on a property with an assessed value of $90,000 is $1,350. Find the tax on a property with an
assessed value of $140,000.
a. $1500.00
b. $150.00
c. $2100.00
d. $210.00
e. $750.00

Answers

Answer:

0.015 or 1.5% tax

Step-by-step explanation:

90000x0.015 = 1350

let’s go to the beach each let’s go get away say say what they gonna say the patron on
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