Tickets to a concert cost either $12 or $15. A
total of 300 tickets are sold, and the total
receipts were $4,140. How many of each kind
of ticket were sold?
First complete the equations below, where x stands for
$12 tickets and y stands for $15 tickets.
[?]x + [ ]y = 4,140; x + y = U

Answers

Answer 1

Answer:

12x +15y = 4140; x + y = 300x = 120; y = 180

Step-by-step explanation:

The first equation is for receipts. Each x ticket generated $12 in receipts, so the first term needs to be 12x. Each y ticket generated $15 in receipts, so the second term needs to be 15y. U in this set of equations is the total number of tickets, said to be 300.

The equations are ...

  12x +15y = 4140; x +y = 300

__

Using the second equation to write an expression for x, we have ...

  x = 300 -y

Substituting this into the first equation gives ...

  12(300 -y) +15y = 4140

  3600 +3y = 4140

  y = (4140 -3600)/3 = 180

  x = 300 -180 = 120

The number of tickets sold is ...

  $12 tickets -- 120

  $15 tickets -- 180

_____

You might want to notice that the equation we ended up with:

  4140 -12(300) = 3y

is equivalent to this "word solution." This can be done in your head; no equations required.

If all the tickets sold were $12 tickets, the revenue would be $3600. The revenue is $540 more than that. Each $15 ticket generates $3 more revenue than a $12 ticket, so to have $540 more revenue, we must have 540/3 = 180 $15 tickets.

Answer 2

Answer: tickets: 120………180

Step-by-step explanation:


Related Questions

Six minus a number divided by 3 equals 8. What is the number?

Answers

Answer:

-18

Step-by-step explanation:

let n be the number

(6-n)/3 = 8

6-n = 24

6-24 = n

-18 = n

Answer:

The number is 30

Step-by-step explanation:

Six minus a number divided by 3 equals 8

x-6/3 = 8

x-6 = 8*3

x = 24 +6

x = 30

Factorise 2y^2 + y + 6xy + 9x - 3​

Answers

Answer: (2y+3)(3x+y-1)

Step-by-step explanation:

First regroup the terms.

6xy+9x+2y^2+y-3

Second factor 3x out of 6xy+9x

3x(2y)+9x+2y^2+y-3

3x(2y)+3x(3)+2y^2+y-3

And you get

3x(2y+3)+2y^2+y-3

Third factor by grouping

1.] What is the probability of choosing a king
from a standard deck of playing cards?

Answers

Answer:

1/13

Step-by-step explanation:

there are 4 kings in a deck of 52 cards.

4/52 = 1/13

1. Si pide prestado $ 600 por siete años a una tasa de interés del 7%, ¿cuánto interés pagará?

Answers

Answer:

Su pago mensual sería de $9.06 (Espero que esto ayude)

Step-by-step explanation:

The approximate length of side XY is units. The approximate length of side YZ is units. The approximate length of side ZX is units. The approximate perimeter of triangle XYZ is units.

Answers

Answer:

ZX = 3√2, XY =√10, YZ = 4, Perimeter of ΔXYZ  = 14√5 units

Step-by-step explanation:

1. We can see that if we were to draw an altitude from vertex X to side ZY of this triangle, the length of this altitude would be: 3 units

2. The length of ZX can be determined through Pythagorean Theorem. If this altitude were to be called XW, it would be one of the legs of a mini triangle ZXW, along with leg ZW. ZW clearly = 3, thus ZX^2 = 3^2 + 3^2 = 18, and ZX =  √18 units = 3√2.

3. The same thing can be applied to another "mini" triangle YXW. This triangle would have legs XW (altitude of the triangle ZXY) and YW. Knowing XW to have a length of 3 units, and YW to have length of 1 unit ⇒ XY^2 = XW^2 + YW^2 = 3^2 + 1^2, and XY = √10.

4. YZ is visualized to have a length of 4 units.

5. Knowing that ZX = 3√2, XY =√10, and YZ = 4 ⇒ Perimeter of ΔXYZ = ZX + XY + YZ = 3√2 + √10 + 4 = 14√5 units. To simplify this, it would be that the Perimeter of ΔXYZ  = 14√5 units

The formula A=12(b+c)h. Write the equation in term of c?

Answers

Answer:

[tex]c = \frac{A}{12h} - b[/tex]

Step-by-step explanation:

Okay, so the goal is to isolate c on one side with all the other terms on the other side. So, let's start by dividing both sides with 12h. After we do that, we will be left with [tex]\frac{A}{12h} = b+c[/tex]. Now, we can subtract both sides by b, and we will be left with [tex]\frac{A}{12h} - b = c[/tex]. Yay! We've now isolated c and that is our final answer!

Hope this helped! :)

Write the following trigonometric ratio using an acute angle: tan 162 degrees

Answers

Answer:

  -tan(18°)   or   tan(-18°)

Step-by-step explanation:

The angle given is in the 3rd quadrant, so the tangent is negative. The reference angle is ...

  180° -162° = 18°

Tangent is an odd function, so ...

  tan(-x) = -tan(x)

This means we can write the required ratio two ways:

tan(-18°)-tan(18°)

solve for the coefficient -5=a(0-2)(0-3)(0-5)

Answers

Answer:

a = 1/6

Step-by-step explanation:

-5=a(0-2)(0-3)(0-5)

Simplify

-5=a(-2)(-3)(-5)

-5 = a(-30)

Divide each side by -30

-5/-30 = -30a/-30

1/6 =a

Answer:

1/6

Step-by-step explanation:

Classify each representation shown below as either linear or exponential.

x y
0 5
1 7.5
2 11.25


y = 2x + 4



One person sends an email to 2 people. Those 2 people send it to 4 people, and those 4 send it to 8 people.



Answers

1. Exponential

2. Linear

3. Exponential

How to find the area of the seating area

Answers

Parallelogram area is base times height.  Base of 14, height of 10,

Answer: A = (14 ft)(10 ft)    second choice

Answer:

choice B

Step-by-step explanation:

Please help asap! Will give brainliest! Please read the question then answer correctly! No guessing.

Answers

Answer:

(x - 5) (x - 7)

Step-by-step explanation:

To factor this trinomial, you must split the middle term (-12x) into two terms that can be added to get -12x, and multiplied to get 35:

[tex]x^2[/tex] - 12x + 35

[tex]x^2[/tex] -7x - 5x + 35

Group:

([tex]x^2[/tex] -7x) (-5x + 35)

Take out the GCF (Greatest Common Factor):

x(x - 7)  -5(x - 7)

(x - 5) (x - 7)

Answer:

the answer is D

Step-by-step explanation:

x^2-12x+35=x^2-7x-5x+35=x*(x-7)-5(x-7)=(x-7)(x-5)

Find the area of the triangle

Answers

Answer:

84mm

Step-by-step explanation:

Formula of a triangle:

A =bh/2

A=14(12)/2

A=168/2

A=84mm

Look at recent question

Answers

Answer:

ok was it college math if so the I don't know

The quadratic equation x^2 - 8x = -4 is rewritten in the form (x + p)^2 = q. when q is a constant. What is the value of p ?

Answers

Answer:

  -4

Step-by-step explanation:

If you multiply out the square, you can see ...

  (x +p)^2 = q

  x^2 +2px +p^2 = q

The coefficient of the x-term is 2p, so ...

  2p = -8

  p = -8/2 = -4

In a recent survey, 30 students reported whether they liked their potatoes Mashed, French-fried, or Twice-baked. 15 liked them mashed, 20 liked French fries, and 9 liked twice baked potatoes. Additionally, 12 students liked both mashed and fried potatoes, 5 liked French fries and twice baked potatoes, 6 liked mashed and baked, and 3 liked all three styles. How many students hate potatoes? (4 points)

Answers

Answer:

Totally 6 people hate potatoes

Step-by-step explanation:

Incase the figure is not clear

here, it is

⇒ 30 = 15 + 20 + 9 - 12 - 6 - 5 + 3 + h

⇒ h = 30 - 44 - 3 + 23

⇒ h = 53 - 47

h = 6

Hence, Totally 6 people hate potatoes

Answer: 6 students hate potatoes.

Step-by-step explanation:

The Venn diagram representing the situation is shown in the attached photo.

Set M represents the set of students that like mashed potatoes.

Set F represents the set of students that like French fried potatoes.

Set T represents the set of students that like Twice-baked potatoes.

H represents the number of students that hate potatoes.

3 liked all three styles

The number of students that like mashed and twice baked potatoes only is 6 - 3 = 3

The number of students that like mashed and French fried potatoes only is 12 - 3 = 9

The number of students that like twice baked and French fried potatoes only is 5 - 3 = 2

The number of students that like mashed potatoes only is 15 - (9 + 3 + 3) = 0

The number of students that like French fried potatoes only is 20 - (9 + 3 + 2) = 6

The number of students that like twice baked potatoes only is 9 - (3 + 3 + 2) = 1

Since the total number of students is 30, it means that

0 + 6 + 1 + 3 + 9 + 2 + 3 + H = 30

24 + H = 30

H = 30 - 24

H = 6

How do you determine similarities in shapes?

Answers

Answer:

Step-by-step explanation:

. if every corresponding internal angles in both shapes are equal

. if all corresponding sides are equal or have same ratio.

more rules but depends on the shape also ( triangle, rectangle, hexagon,...)

g(x) = - 3x - 8

g (____) =10

Answers

Answer: 6

-3x-8=10
-3x=18
x=6

When g(x) is equal to 10, x is equal to 6. So, g(6)=10

Ana has a rectangular garden with a width of 2.3 meters and a length of 2.8 meters. She makes the model below to help her determine the area of her garden. What is the area of Ana's garden?

Answers

Answer:

6.44 m2                                                                      

Step-by-step explanation:

6 to the power of 3 +7 times 4

Answers

Answer:

892

Step-by-step explanation:

Which of the following statements is FALSE? The correlation coefficient equals the proportion of data points that lie on a straight line. The correlation coefficient will be +1.0 only if all the data lie on an upward-tilting straight line. The correlation coefficient is undefined if all the data lie on a perfectly horizontal straight line. The correlation coefficient is a unitless number and must always lie between –1.0 and +1.0, inclusive.

Answers

Answer:

The first one is False.

Step-by-step explanation:

If the correlation coefficient can also be -1 if the data lies on an upward tilting straight line.

The sum of five consecutive integers is 70. What are the numbers?

Answers

Answer: The numbers are 12, 13, 14, 15, and 16.

Step-by-step explanation:

Write an algebraic equation.

x + (x+1) + (x+2) + (x+3) + (x+4) = 70

5x + 10 = 70

subtract 10 from both sides

5x = 60

divide each side by 5

x = 12

The numbers are 12, 13, 14, 15, and 16.

Answer:

12 to 16 :) hope it helped

an automobile traveled 21 miles north from the airport. it then turned directly west and traveled 28 miles. how far is the automobile from the airport??​

Answers

The automobile is 35 miles away from the airport

Distance between (-1,0) and (8,6)

Answers

Answer:

3 √ 13

Step-by-step explanation:

Answer:

3√13

Step-by-step explanation:

We want to find the distance between these two points. To do so, we need to use the distance formula which states that the distance between two points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] is:

d = [tex]\sqrt{(x_1-x_2)^2+(y_1-y_2)^2}[/tex]

Here, [tex]x_1=-1,x_2=8,y_1=0[/tex], and [tex]y_2=6[/tex]. So:

d = [tex]\sqrt{(x_1-x_2)^2+(y_1-y_2)^2}[/tex]

d = [tex]\sqrt{(-1-8)^2+(0-6)^2}=\sqrt{(-9)^2+(-6)^2} =\sqrt{81+36} =\sqrt{117} =3\sqrt{13}[/tex]

Thus, the answer is 3√13.

~ an aesthetics lover

what is the sum of 21 and 5 times a number f is 61

Answers

Answer:

Answer is below

Step-by-step explanation:

21 + 5f = 61       Turn the words into an equation

-21        - 21       Subtract 21 from both sides

5f = 40              Divide both sides by 5

f = 8

If this answer is correct, please make me Brainliest!

Answer:

[tex]f = 8[/tex]

Step-by-step explanation:

[tex]21 + 5f = 61 \\ 5f = 61 - 21 \\ 5f = 40 \\ \frac{5f}{5} = \frac{40}{5} \\ f = 8[/tex]

Hope this helpsBrainliest Appreciated.

1. Terry made $53
washing cars. She made
some money selling
cookies. In total she has
$67. How much money
did she make selling
cookies?​

Answers

Answer:

Terry made $14 selling cookies.

Step-by-step explanation:

[tex]67-53=14[/tex]

Answer:

$14

Step-by-step explanation:

She made $14 selling cookies.

$67-$53=$14

Marco bought gifts for his family at the school gift shop for the holidays. Marco bought 10gifts and spent $11.50. How many of each item did he buy if friendship bracelets cost $1.50 and stickers cost $1?

Answers

Step-by-step explanation:

Marco bought 10 gifts = 11. 50

If 5 bracelets = 1.50 x 5 = 7.5

4 stickers = 4 x 1 = 4

So total cost = 7.5 + 4 = 11.5

Solve for x - y = -3

Answers

Answer:

0-3=-3

Step-by-step explanation:

What is x:
1. X-y= -3
2. Add y to both sides
3. X= -3+y

What is y:
1. X-y= -3
2. Subtract x from both sides
3. -y=-3-x
4. Divide both sides by negative 1
5. y=3+x

Solution;
-3+y, 3+x

Hope this helps!!

ESSON 3 REFINE
The rectangular prism shown below has a volume of 42 cubic
meters. What is the length of the prism? Show your work
What dim
labeled
prisma
3 m
2 m​

Answers

Answer:

The length of the prism = 3m

See below for explanation

Step-by-step explanation:

The question is incomplete without the diagram stated in the question.

Since the diagram is missing, I'll show you how you can determine the length of a prism.

Volume of prism = length × width × height = l×w×h

Find attached below the diagram used in solving the question.

From the diagram,

height = 7m

Width = 2m

Given that the volume of prism = 42 cubic meters = 42m³

Length of prism = ?

Inserting the values of the variables:

42 = l×2×7

42 = 14×l

l = 42/14

l = 3

The length of the prism = 3m

Solve |6k + 12| + 9=9 for k

Answers

|6k+12|=0
6k+12=0
K=12/6= -2 or 2

Answer:

k= -2

Step-by-step explanation:

Micheal buys a basket of mangoes on sale for 4 dollars before tax. The sales tax is 12%. What is the total price Micheal pays for the basket of mangoes?

Answers

Answer:

$[tex]4.48[/tex] is the total price.

Step-by-step explanation:

Mulitply the total by the percentage.

[tex]4 * .12 = .48[/tex]

Add those together.

[tex]4 + .48 = 4.48[/tex]

Total price of mangoes: $[tex]4.48[/tex]

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