A movie theater had tickets at $12 for adults, $7 for students and $5 for children under 12 years old. A total of 278 tickets were sold for one showing with a total revenue of $2600. If the number of adult tickets sold was 10 more than the combined total of student and children tickets, find a system that could model this situation

Answers

Answer 1

Answer:

Step-by-step explanation:

Multiply the members of the revenue equation by 2:

system%28a%2Bs%2Bc=278%2C12a%2B7s%2B5c=2600%2Ca=2s-10%29

Three linear equations in three unknowns. Solve.


Related Questions

A 450 gallon tank full of water is draining at a rate of 20 gallons per minute. We can represent the situation with the equation:

y
=
450

20
x
y
=
450
-
20

x

where x is the number of minutes that have passed by, and y is the amount of water in the tank. How long will it take for the tank to have 200 gallons?

A.
12.5 minutes

B.
32.5 minutes

C.
2.15 minutes

D.
20 minutes

Answers

Replace y with 200 ( amount of water in the tank) and solve for x:

200 = 450 -20x

Subtract 450 from both sides:

-250 = -20x

Divide both sides by-20:

X = 12.5

The answer is A. 12.5 minutes

Which equation represents a line which is parallel to the line 3x + 8y = - 40 ?

Answers

I am not really sure that this is the right answer
It’s just an attempt

please please please help me
\(f(x) = \left\{
x + 4 x < 5
8 5 <_ x < 7
2x - 1 7 <_ x <_ 10
\right.\)
For f(x) evaluate the following

a. f(0)
b. F(6)

show all your work

Answers

Answer:

Answer: x = 0 and x = ±3. Solution: Write f(x) = g(x) h(x) ... us f (−4) ≈ 5,f (2) ≈ −7,f(0) ≈ 5,f(2) ≈ −8 and f(4) ≈ 6 which also agrees with.

Step-by-step explanation:

Answer: x = 0 and x = ±3. Solution: Write f(x) = g(x) h(x) ... us f (−4) ≈ 5,f (2) ≈ −7,f(0) ≈ 5,f(2) ≈ −8 and f(4) ≈ 6

And what you sed up there was just some words and simols so im prety sure rhis is it

Answer:

Bet.

Step-by-step explanation:

Segment AB is the diameter of circle M. The coordinates of A are (-3, 8). The coordinates of M are (1,6). What are the coordinates of B?

1)(-7,10)
2)(5,4)
3)(-1,7)
4)(-2,1)

explanation/work needed :(

Answers

Answer:

b

Step-by-step explanation:

Find the slope with the given coordinates (9,-4) (-2,3)

Answers

Answer:

the slope is-7/11

Step-by-step explanation:

m=y²-y¹/x²-x¹

m=3-(-4)/(-2)-9

m=7/-11

m=-7/11

What is the rate of inflation if an account has a nominal interest rate of 4.2% and a real interest rate of 2.8%
A. 1%
B. 1.8%
C. 2.4%
D. 1.4%

Answers

Answer:

Rate of inflation = 1.4%

Step-by-step explanation:

Given:

Nominal interest rate = 4.2%

Real interest rate = 2.8%

Find:

Rate of inflation

Computation:

Rate of inflation = Nominal interest rate - Real interest rate

Rate of inflation = 4.2% - 2.8%

Rate of inflation = 1.4%

A librarian sorts 450 books at a constant rate. After 4 days, the librarian still has 150 books to sort. How much time does it take to sort the books from start to finish?

Answers

Answer:

6 days

Step-by-step explanation:

hope this helps

A librarian sorts 450 books at a constant rate. After 4 days, the librarian still has 150 books to sort. Then 6 days  time does it take to sort the books from start to finish

What is Equation?

Two or more expressions with an Equal sign is called as Equation.

The librarian sorted at a constant rate, then they sorted the same amount of books all 4 days.

450-150=300

If they still have 150 books left to sort, then they sorted 300 books over 4 days.

300/4=75

This means that they sorted 75 books per day.

150 divided by 75 is 2

So it will take 2 more days to finish sorting all the books.

So altogether, it will take 6 days to sort all of the books.

Hence 6 days time does it take to sort the books from start to finish

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5 more than twice a number n

Answers

Answer:

2n + 5

Step-by-step explanation:

Twice a number (n): 2nFive more than twice a number: 2n + 5

I hope this helps!

( √-5+2 √20) ( -√-5)

Answers

Answer: 5 - 20 i

Step-by-step explanation:

ethansledd17 come here! what is 300 divided by 5?

Answers

Answer:

60

Step-by-step explanation:

What is the slope for y = 4 + 3x? *
Your answer

Answers

Answer:

3

Step-by-step explanation:

Someone, please help me lol I'm small brain

Answers

Answer:

Measure of EF: 1.98

Measure of AB: 6.16

Measure of HI: 12.2

Step-by-step explanation:

Trick I learned that's very helpful when solving these problems: SOH (Sine, Opposite, Hypotenuse)- CAH (Cosine, Adjacent, Hypotenuse)- TOA (Tangent, Opposite, Adjacent)

MEASURE OF EF

you're starting with angle D which is 26 degrees. You have the measure of the Hypotenuse (DF) and you're trying to find the measure of EF (the segment opposite the angle) so you would use Sine

to do the equation, i'm going to use x in place of EF. 0.44 = sin(26)

Formula: sin(angle) = (opposite)/(hypotenuse)

Equation:

0.44 = x/4.5       <----------- multiply by 4.5 to get x by itself

4.5*0.44 = x       <---------- 4.5 times 0.44

1.98= x       <----------------answer

MEASURE OF AB

trying to find hypotenuse and you already have the adjacent angle so you would use cosine. Using y in place of AB. 0.616 = sin(52)

cos(angle) = (adjacent)/(hypotenuse)

cos(52) = 10/y      <------ divide by y

y*0.616 = 10       <------------ divide by 0.616

y = 10/0.616    <----------- next you'll divide 10 by 0.616

y = 6.16    <-----------answer

MEASURE OF HI

trying to find adjacent, already have opposite so you would use tangent. tan(42) = 0.90. using z in place of HI

tan(angle) = (opposite)/(adjacent)

tan(42) = 11/z   <------------ multiply z on both sides

z*0.90 = 11  <--------- divide by 0.90 to get z by itself

z = 11/0.90    <-------- divide 11 by 0.90

z = 12.2

A $45,000 car depreciates (goes down) 12% each year. How much does the car decrease by the end of the first year?

Answers

Answer: 39,600

This is what the cars value is after 1 year.

Answer:

Step-by-step explanation:

45,00 -12% =39,600

the question HOW MUCH DOES THE CAR DECREASE is asking by how much does the car decrease so 45,000 -39,600

which =5,400

hope this helps!

can I get brainliest please?

Combine and simplify the following radical expression. (2^3 square root 12)(3^3 square root 2)​

Answers

Answer:

(2^3 square root 12)(3^3 square root 2)​(32 square root)

Step-by-step explanation:

i lie

Answer:

432

Step-by-step explanation:

I checked it trust me

Nadia charges $5.50 an hour for babysitting. She babysits 19.50 hours the first week of the month and 19 hours the second week of the month. Suppose Nadia raises her rate by $0.55 an hour. How many hours would she need to work to earn the same amount of money she made in the first two weeks of the month? Complete the explanation and give your answer. Nadia's new hourly rate is $ . She would need to work hours in the next two weeks to make the same amount she made in the first two weeks.

Answers

Answer:

Step-by-step explanation:

ind her earnings for the first two weeks of the month at the $5.50 an hour rate.

5.50 × (18 + 20.50) = 5.50 × 38.5  

= 211.75  

She earned $211.75 the first two weeks of the month.

Find her new hourly rate, if she raises her rate by $0.55.

5.50 + 0.55 = 6.05  

Her new hourly rate is $6.05.

Find how many hours she would need to work at $6.05 an hour in order to earn $211.75.

211.75 ÷ 6.05 = 35  

She would need to work 35 hours.

Help please I am in dire need

Answers

Answer:

Answer is d=9t.

Step-by-Step:

4.5/.5=9

6.75/.75=9

13.5/1.5=9

Answer is D=9 lololloojdjdhd

an initial amount of $55,000 is invested in an account with interest compounded continuously the interest rate is 10% find the value of the account after 14 years​

Answers

A = P(1 + rt)
P = $55,000 r= 0.10 t= 14 years
A = 55,000(1+(0.10)(14) = 55,000(2.4)
A = $132,000 after 14 years

A bag contains 95 blue marbles, 7 red marbles, and 5 green marbles. One marble is randomly
chosen. Select all true statements about the marble chosen.
A It is certain that the marble was blue.
B. It is unlikely that the marble chosen was green.
C. It is unlikely that the marble chosen was orange.
D. It is likely that the marble chosen was blue.
E It is not possible that the marble chosen was green.
E It is neither likely nor unlikely that the marble chosen was red.

Answers

Answer:

B,D, and the last E

Step-by-step explanation:

B,d,f is that good for you

I need someone to pls pls help me on these

Answers

Answer: add my intagram Its_yo_boy_Jonathan65

Step-by-step explanation:

What is the remainder when 73,847 is divided by 43? Enter your answer as a whole number in the box

Answers

Answer:

The Answer is 16.

Step-by-step explanation:

I took the test. I hope this helped! :)

The remainder when 73,847 is divided by 43 will be 16.

What is Division method?

Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications.

For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.

Given that;

The mathematical expression is,

''73,847 is divided by 43''

Now,

Find the remainder when 73,847 is divided by 43 as;

43 ) 73,847 (1717

    - 43

   --------

      308

    - 301

     -------

          74

          43

        -------

          317

        - 301

         ------

           16

Thus, The remainder when 73,847 is divided by 43 will be 16.

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ILL GIVE YOU BRAINLEST!!

Answers

Answer:

24 pennies

Step-by-step explanation:

120 x 0.2 go get 24 and other will get 48

please help I am doing a timed test I will choose brainliest

Write the standard form of the equation of a line with a slope of 3 passing through the point (-5, -6).

Select one:
a. -x + 3y + 13 = 0
b. -3x + y - 9 = 0
c. 3x - y + 9 = 0
d. x - 3y - 13 = 0

Answers

Answer:

Step 1: We need to first find the equation of the line in slope-intercept form by finding b, or the y-intercept.

[tex]-6 = 3(-5) + b\\\\-6 = -15 + b\\\\9 = b[/tex]

Step 3: We now need to write the equation of the line in slope-intercept form.

[tex]y = 3x + 9[/tex]

Step 3: Now we convert the above equation from slope-intercept form to standard form.

[tex]y = 3x + 9\\\\-3x + y = 9\\\\-3x + y - 9 = 0[/tex]

Our equation in standard form is: B. -3x + y - 9 = 0.

Need ASAP
....................

Answers

Answer:10/15

Step-by-step explanation:10 divided by 5=2

15 divided by 5=3 in words 10/15 is simplified to 2/3

¿Cual es la influencia de los movimientos sociales en la consolidación de la democracia en El Salvador sociales

Answers

Answer:

The influence is there is none

Step-by-step explanation:

A CD player and a Nike sneaker together cost $ 444. The price of the CD player is double the price of the sneaker. How much do they each cost ?

Answers

Answer:

The CD player costs $296 and the Nike sneaker costs $148.

Step-by-step explanation:

From the information given, you know that a CD player and a Nike sneaker together cost $ 444, which can be expressed as:

x+y=444, where

x is the cost of the CD player

y is the cost of the Nike sneaker

Also, you know that the price of the CD player is double the price of the sneaker, which can be expressed as:

x=2y

You can replace this formula x=2y in the first one and solve for y:

2y+y=444

3y=444

y=444/3

y=148

Finally, you can replace the value of y in x=2y to find the value of x:

x=2(148)

x=296

According to this, the answer is that the CD player costs $296 and the Nike sneaker costs $148.

Write an equation of the line passing through the point (6, 3) that is perpendicular to the line 6x + 5y = 10

An equation of the line is
y=?

Answers

Answer:

[tex]y=\frac{5}{6}x-2[/tex]

Step-by-step explanation:

Let the equation of a line passing through a point [tex](x_1,y_1)[/tex] and slope [tex]m_1[/tex] is,

[tex]y-y_1=m_1(x-x_1)[/tex]

Equation of the second line has been given as,

6x + 5y = 10

Slope-intercept form of the equation will be,

5y = -6x + 10

y = [tex]-\frac{6}{5}x+10[/tex]

Here slope of the line [tex]m_2=-\frac{6}{5}[/tex]

If both the lines are perpendicular,

By the property of perpendicular lines,

[tex]m_1\times m_2=-1[/tex]

[tex]m_1\times (-\frac{6}{5})=-1[/tex]

[tex]m_1=\frac{5}{6}[/tex]

Therefore, equation of the line passing through (6, 3) and slope = [tex]\frac{5}{6}[/tex] will be,

y - 3 = [tex]\frac{5}{6}(x-6)[/tex]

y = [tex]\frac{5}{6}x-5+3[/tex]

[tex]y=\frac{5}{6}x-2[/tex]

If CE and FH are parallel lines and m<HGI are parallel lines and m<HGI = 126º, what is m<FGI? HELP ASAP​

Answers

Answer: <FGI = 54

Step-by-step explanation:

180-126=54

u go to agora cyber charter school?

whos ur math teacher is it  Mrs. P?

The value of the angle ∠FGI will be equal to 54 degrees.

What are supplementary angles?

The angle is defined as the span between two intersecting lines or surfaces at or close to the point where they meet. The supplementary angles are the angles having the sum of 180 degrees.

Given that there are two parallel lines FH and CE. The value of the angle  ∠HGI is 126°. The value of the angle ∠FGI will be calculated as:-

Use the supplementary property and calculate the value of ∠FGI.

∠FGI + ∠HGI = 180

∠FGI + 126 = 180

∠FGI = 180 - 126

∠FGI = 54

Therefore, the value of the angle ∠FGI will be equal to 54 degrees.

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Solve: 4-(9g-5)=-27 please help

Answers

Answer:

-2

Step-by-step explanation:

9g-4-5=-27

9g-9=-27

Add 9 to both sides

9g=-18

g=-2

Answer:

-18

if you need more info. just search up you question on Google and click the first link

What is the slope of the line that passes through (5, 4) and (7, 10) ?
A 3
B -3
C 2
D
-2

Answers

I think the answer is A 3.

Answer:

3

Step-by-step explanation:

You would first plug in the points to the slope formula which is as follows:

m = y2 - y1 / x2 - x1

When you plug it in, it should look as follows:

m = 10 - 4 / 7 - 5

You should now add like terms.

m = 6/2

You should now simplify.

m = 3

solve of system of equation.
9x + 2y = -38
9x+10y=26.

Answers

Answer:

(-6 , 8 )

Hope this helps!

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