At the city museum, child admission is $5.20 and adult admission is $9.50. On Friday,133 tickets were sold for a total sales of $928.10. How many adult tickets were sold that day?

Answers

Answer 1

Answer:

55 adult tickets were sold on Friday.

Step-by-step explanation:

A linear system will be used to model the system.

Let c be the number of child tickets and a be the number of adult tickets

Then according to given statements

[tex]a+c = 133\ \ \ \ Eqn\ 1\\9.50a+5.20c = 928.10\ \ \ Eqn\ 2[/tex]

From equation 1

[tex]a = 133-c[/tex]

Putting this in equation 2

[tex]9.50(133-c)+5.20c = 928.10\\1263.5-9.50c+5.20c=928.10\\1263.5-4.3c = 928.10\\-4.3c = 928.10-1263.5\\-4.3c=-335.4\\\frac{-4.3c}{-4.3} = \frac{-335.4}{-4.3}\\c = 78[/tex]

Putting c = 78 in equation 1

[tex]a+78 = 133\\a = 133-78\\a = 55[/tex]

Hence,

55 adult tickets were sold on Friday.


Related Questions

Let p(n) be the number of primes less than n. What is p(50)

Answers

Answer:

There are 15 prime numbers less than 50

Step-by-step explanation:

2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53

You are allowed to eat at most 12 pieces of candy. You have already eaten 2. Write an inequality and solve to find how many more piece of candy you can eat.

Answers

Answer:

One of the below.

Step-by-step explanation:

12-2=10      2+x=12    

Can 6/-6 be simplified?

Answers

Answer:

yes. it would technically be -1

Step-by-step explanation:

Because fractions are technically division, 6 ÷-6 = -1

Answer:

yes it can be simplified to 6/6 thats the lowest term

Step-by-step explanation:

hoped it helped

can u give me a brainlist?

Fihding the Selling Price for a Given Profit
Soccer ball profit
y = -6x2 + 100x – 180
Suppose the store wants to earn a daily profit of
$150 from the sale of soccer balls. To earn this
profit, what price should the store charge for each
soccer ball? Explain how to solve this problem.
DONE
) Intro
6 of 8

Answers

Answer:

2.05 and 14.61

Step-by-step explanation:

On Edg

Write the following number in standard form: 3.471 x 10 to the power of negative 3

Answers

Answer:

=-3471 is the answer this may help you.

Step-by-step explanation:

=3.471×10^-3

=3.471×-1000

=-3471

Which property of equality could be used to solve -3x = 348? addition property A.subtraction property B.division property C.multiplication property

Answers

Answer:

Division property

Step-by-step explanation:

you would need to set up your equation. Then divide -3x by -3 to get x alone. then you do 348 divided by -3 to get your answer

-3x=348

-3= -3

x=-116

y+1=1/2(x-8) in standard form- pls explain​

Answers

x-2y=10 is correct.

If two lines are perpendicular to each other, do they lie in the same plane?

Answers

Yes they do, Hope this helps :p

This is the problem that I need help with please. :)

Answers

Answer:

umm I think it 186

Step-by-step explanation:

Q1)Complete the table of values of y=6/x

Q2)Which of A,B or C is the correct curve for y=6/x


I will give brainliest!!! Help pleaze​

Answers

Answer:

Q1) 12, 2, 1.5, 1

Q2) I believe its C

Step-by-step explanation:

Hope it helps!

Answer:

1st question 12, 2, 1.5, 1

2nd question C

Step-by-step explanation:

Hope I helped

A hamburger costs $(2x + 3), chips costs $(x - 1) and a drink costs $(3x - 5). Write an
algebraic expression for the total cost of a hamburger, chips and a drink.

Answers

Answer:

(2x+3)+(x-1)+(3x-5)

Step-by-step explanation:

add all your expressions & Ect together .

can some one please help me im confused on this im really stuck :(

Answers

A- swimming up 5 feet means +5 and -9+5=-4
The answer is A
Because moving 5 units up from -9 , you will end up at -4 ( 4 units below sea level)

The charge of ISD from Biratnagar to Tokyo is Rs 125 for the first 3 minutes and Rs 15 for every additional 10 seconds. If a man made a call from Biratnagar to his friend in Tokyo and paid Rs 305, how long did he make a call

Answers

We know he talked for over 3 minutes since the total is 305 which is > 125 (the cost of 3 minutes). The remaining amount he paid is 305-125= 180. He was charged 15 per 10 seconds which amounted to 180. 180/15=12 which means he was charged 12 times. Each time charged it was because he took 10 seconds so in total he took 12x10= 120 second. That’s 2 minutes. The two minutes he was charged 15s plus the first 3 minutes he was charged 125 is 5 minutes. We can plug in the numbers to make sure we are right. If he talked for 5 minutes then we know for the first three he was charged 125 and the additional two he was charged 15s (s representing 10 seconds). We can put the 125 aside for now to figure out the 15s. If he took two minutes then he took 120 seconds. Divide that by 10 because he’s getting charged per 10 seconds not per second so that’s 12. 15(12) is 180. 125 + 180 is 305

*** he took five minutes talking on the phone***

I NEED HELP THIS IS MISSING I GIVE BRAINLIEST only if you are right tho

Answers

Answer:

I thinks its negative

Step-by-step explanation:

because since there is more neagitive that positive it will be neagitive

What is the equation of the line that passes through the point (1,0) and has a slope of 1 ?

Answers

Answer:

y = x - 1

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Here m = 1 , thus

y = x + c ← is the partial equation

To find c substitute (1, 0) into the partial equation

0 = 1 + c ⇒ c = 0 - 1 = - 1

y = x - 1 ← equation of line

Y=2x+6
3y-x+3=0

Substitute to solve

Brainliest for correct answer

Answers

Answer:

-21/5 or -4.2

Step-by-step explanation:

y = 2x + 6

3y - x + 3 = 0

Substitute the value for y from the first equation into the second equation.  Solve for x.

3y - x + 3 = 0

3(2x + 6) - x  + 3= 0

6x + 18 - x + 3 = 0

5x + 18 + 3 = 0

5x + 21 = 0

5x + 21 - 21 = 0 - 21

5x = -21

x = -21/5 or -4.2

Multiply and simplify the following complex numbers:
(3 – 41) x (-3+22)

Answers

Answer:

Your answer is going to be - 722

Step-by-step explanation:

(3-41)=-38

(-3+22)=19

-38*19=-722

Answer:  (3 – 41) x (-3+22)= -722

When you go to do the multiplication or any math like this

parentheses,

exponents,

multiplication &division,

addition & subtraction,

Multiplication and division go together, so you do whichever one comes first. Same with addition and subtraction,

So If you do the math in P-E-M-D-A-S (3−41)(−3+22)

=−38(−3+22)

=(−38)(19)

=−722

-722 is your answer

(picture)
for each number on the left,place a check mark under the numbers it is divisible by.​

Answers

45- 3, 5, 9

369- 3, 9

7870- 2, 5, 10

1976- 2, 4,

6003- 3, 9

136- 2, 3, 4

1674- 2, 3, 6, 9

35496- 2, 3, 4, 6, 9

In a video game, two objects move around the screen according to the equations r = 4cos(0) and r= -1 +
2cos(0). Which coordinates represent a possible collision point of the objects?

Answers

Answer:

The correct option is;

[tex]\left ( -2,\dfrac{2 \cdot \pi }{3} \right)[/tex]

Step-by-step explanation:

The given parameters are

The equation of motion of one (the first) object is r = 4·cos(θ)

The equation of motion of the other (the second) object is r = -1 + 2·cos(θ)

Equating both equations gives;

4·cos(θ) = -1 + 2·cos(θ)

4·cos(θ) - 2·cos(θ) = -1

2·cos(θ) = -1

cos(θ) = -1/2

θ = Arccos(-1/2) = 120° = 2·π/3

Therefore, the two equations are equal when θ = 2·π/3 for which we have;

r = 4·cos(2π/3) = -2 and r = -1 + 2·cos(2π/3) = -2

∴ r = 4·cos(2π/3) = -1 + 2·cos(2π/3) = -2

The coordinate that represents a possible collision point of the objects in the form (r, θ) is therefore [tex]\left ( -2,\dfrac{2 \cdot \pi }{3} \right)[/tex]

Hence, The coordinate that represents a possible collision point of the objects in the form (-2, [tex]\frac{2\pi }{3}[/tex])

Given that ,

The first object is moving around the screen r = 4 cos(0)

The second object is moving around the screen r = -1 + 2cos(0)

We have to find ,

The coordinates represent a possible collision point of the objects.

According to the question,

Coordinate represent collision points to object ,

Equating both equations ;

4·cos(θ) = -1 + 2·cos(θ)

4·cos(θ) - 2·cos(θ) = -1

2·cos(θ) = -1

cos(θ) = -[tex]\frac{1}{2}[/tex]

θ = [tex]cos^{-1} (\frac{1}{2} )[/tex] = 120°

[tex]\theta[/tex] = [tex]\frac{-2\pi }{3}[/tex]

Therefore, the two equations are equal when θ = [tex]\frac{2\pi }{3}[/tex]

We have;

r = 4·cos([tex]\frac{2\pi }{3}[/tex]) = -2

And r = -1 + 2·cos([tex]\frac{2\pi }{3}[/tex]) =

r = -2

r = 4·cos([tex]\frac{2\pi }{3}[/tex]) = -1 + 2·cos([tex]\frac{2\pi }{3}[/tex])

r = -2

The coordinate that represents a possible collision point of the objects in the form (r, θ) is therefore r = -2 and [tex]\theta = \frac{2\pi }{3}[/tex] .

Hence, The coordinate that represents a possible collision point of the objects in the form (-2, [tex]\frac{2\pi }{3}[/tex]) .

For the more information about Motion of Equation line click the link given below.

https://brainly.com/question/21024882

 

 

Solve one third plus seven ninths equals

Answers

Answer:

1 1/9 0r 10/9

Step-by-step explanation:

the least common denominator or LCM of the two denominators:

LCM of 3 and 9 is 9

For the 1st fraction, since 3 × 3 = 9,

1

3

=

1 × 3=3

3 × 3=9

= 3/9

Likewise, for the 2nd fraction, since 9 × 1 = 9,

7

9

=

7 × 1=7

9 × 1=9

=7/9

Add the two fractions:

3

9

+

7

9

=

3/9+ 7/9=10/9

So, 1/3 + 7/9 = 10/9

In mixed form: 1 1/9

Find the slope of the line passing through the points (-2, 8) and (3,8).
Please help!!

Answers

Answer:

y=8

Step-by-step explanation:

(-2,8) (3,8)

x,y. x,y

y2-y1/X2-X1=

8-(8)= 0

3-(-2)= 5

since the two points have 8 in the Y space the line would be equal to y= 8

Oak Street intersects with Mill Avenue. The traffic light on Oak Street follows a cycle. It is green for 35 seconds, yellow for 5 seconds, and red for 20 seconds. As you travel along Oak and approach the intersection, what is the probability that the first color you see is red? Write the probability as a simplified fraction. Incorrect feedback has been removed from the screen. Fill in the blank text field 1

Answers

Answer:

1/3

Step-by-step explanation:

20/60 simplified is 1/3

20 for the red light

60 all of them added

You might need: What is the next term of the geometric sequence? -1/7, 4/7, -16/7

Answers

a4= 64/7 a5=-256/7 a6=1024/7

Which expression is equivalent to (xy)z?

A (x+y)+z
B 2z(xy)
C x(yz)
D x(y+z)​

Answers

Answer:

c

Step-by-step explanation:

Answer:

It's C Aka x(yz)

Step-by-step explanation:

I Just Got A lOO% When I Put That As My Answer On My Quiz On Edge. :)

Write an algebraic expression that models the following statement:

Four times the sum of 'x' and '7'.

Answers

Answer:

4(x+7)

or 4x+28

Step-by-step explanation:

Here you go:)

Find the perimeter of the figure below, composed of a rectangle and semicircle. Round to the nearest tenths place.

Answers

The perimeter of the given figure is 44.28 units.

Given that, from the figure length of a rectangle = 15 units, width of a rectangle = 4 units and the radius of a semicircle = 2 units.

What is the perimeter of a rectangle?

The perimeter of a rectangle is the total distance of its outer boundary. It is twice the sum of its length and width and it is calculated with the help of the formula: Perimeter = 2(length + width).

Here, perimeter = Perimeter of a rectangle  + Circumference of a semicircle

= 2(15+4) + 2πr/2

= 2×19 + 3.14×2

= 38 + 6.28

= 44.28 units

Therefore, the perimeter of the given figure is 44.28 units.

To learn more about the perimeter of a rectangle visit:

https://brainly.com/question/15287805.

#SPJ2

Benji wrote the expression below to match the description "three less than the quotient of a number and nine" he wrote “3-n/9”explain benji's error

Answers

Benji’s error is that the division should happen BEFORE subtracting 3. 3 should be subtracted from the quotient.

The correct response should be: (n/9)-3

Find the slope of the line that passes through each pair of points: (8, -2) , (1, 1)

Answers

Answer:

3/-7

Step-by-step explanation:

Using the equation [tex]M=\frac{Y_{2}-Y_{1}}{X_{2}-X_{1}}[/tex] where M is slope, you take (1--2) 1+2/1-8 and you get 3/-7.

2.5(a + 4) + 0.5a = 12.4

Answers

Answer:

a=0.8

Step-by-step explanation:

First I distributed 2.5 into (a+4) and got (2.5a+10)+0.5a=12.4. I then combined like terms which are 2.5a and 0.5a and got 3a+10=12.4. I subtracted 10 from both sides to get rid of it and got 3a=2.4. Later, I divided 3 from both sides to get a which comes out to be 0.8.

Hope this helps you :)

What is the coefficient of the last term in the binomial expansion of (x + 1)9?

Answers

Answer:

1 is the coefficient of the last term in the binomial expansion

The answer would be 1
Other Questions
Cuanto es la derivada de x somebody start a conversation..no dry talk Please help I need help fast The sum of three consecutive numbers is 123.What is the smallest of the three numbers? JAVAWrite a program that requests the user input a word, then prints every other letter of the word starting with the first letter.Hint - you will need to use the substring method inside a loop to get at every other character in the String. You can use the length method on the Stringto work out when this loop should end.Sample run:Input a word:domaindmi please complete it (picture) What reason did Jefferson give for the Louisiana Purchase being constitutional? A. He argued that the Constitution allowed the President to make treaties and the Louisiana Purchase was part of a treaty. B. He claimed that the "necessary and proper" clause in the Constitution gave the President the power to buy land. C. He declared the purchase was in the best interest of the American people. D. He reasoned that the Constitution did not specifically forbid the President from buying land. Which phrase best defines a mountain range? Tilly and Lilly worked together on a job. Tilly earned twice as much as Lilly, and together they earned $510. How much did each person earn? Use the 5D Process, showing all your work. SEP Develop Models Each helium atom has two protons. Sketch modelsof helium-3 and helium-4, which have approximate masses of 3 amuand 4 amu, respectively. Label and differentiate protons, neutrons, andelectrons in your models? A quadratic equation in standard form is written az = but c, where a, b, andcare real numbers and a is not zero.A. TrueB. False whoever can answer 2+ can get brainliest! i need help pleaseeee Which quote is attributed to Nathan Hale at his execution?this is my last question :'(and the last of my pointsyou wont be able to reach me ever again...ever What is the range of the given function? Although you can draw an infinite number of lines through the midpoint of asegment, you can draw only one line that is to the line segment. Reflection/Math please help Attempting to improve mobility for paralyzed people is an example of which of the following?a. a hypothesis b. applied researchc. basic researchd. the scientific method how could you tell what element it is if only a model was present? Choose the statement that best describes a solution of a system of linear inequalities.(1 point)A solution of a system of linear inequalities is an ordered pair that satisfies at least one of the inequalities in the system.A solution of a system of linear inequalities is an ordered pair that satisfies the intersection of the border of each inequality.A solution of a system of linear inequalities is an ordered pair that satisfies neither inequality in the system.A solution of a system of linear inequalities is an ordered pair that satisfies each inequality in the system. If forces acting on an object are unbalanced, which factor may result from an unbalanced force? A.The net force is negative. B.There is zero net force. C.The forces cancel each other out. D.There is no change in motion.