A total of 70 tickets were sold for a concert and earn the organizers $804. If the cost of each ticket is either $10 or $12, how many tickets of each type were sold?

Answers

Answer 1

Answer:

X=18

Y=52

Step-by-step explanation:

Let X represent the first type of ticket sold at the concert

Let Y represent the second type of ticket sold at the concert-----equation 1

X + Y= 70 (Total number of tickets sold) ------equation 2

(X×10) + ( Y×12)=$804. ( Total money generated in the concert

Since,

X+Y= 70

X= 70-Y

Substitute (70-Y) for X in equation 2

(70-Y)×10 + Y×12=804

700-10Y+12Y= 804

Collect the like terms

700+2Y=804

2Y=804-700

2Y= 104

Divide both sides by the coefficient of Y which is 2

2Y/2= 104/2

Y=52

Substitute 52 for Y in equation 1

X+Y=70

X+ 52=70

collect the like terms

X= 70-52

X=18

Hence the first type of ticket sold is 18 tickets and the second type of ticket sold is 52 tickets.


Related Questions

At a zoo, youth tickets cost $5 and adult tickets cost $9. A group that purchased x youth tickets and y adult tickets spent $90 on tickets. What is the domain of the relationship

Answers

Answer:

0 ≤ x ≤ 18

Step-by-step explanation:

Let 'x' be the number of youth tickets purchased at the zoo and 'y' be the number of adult tickets purchased at the zoo.

At a zoo, youth tickets cost $5 and adult tickets cost $9. A group spent a total of $90 on tickets. We can write as

5x + 9y = 90

to find x we divide both side by 5

x = (90-9y)/5 =>  90/5 - 9y/5

x = 18 - 9y/5

The domain of the relationship is the possible set of values of x and y that satisfies the equation. The domain of this relationship is

0 ≤ x ≤ 18

At x = 0, it means only adult tickets were purchased.

At x = 18, it means only youth tickets were purchased.

Answer:

0 ≤ x ≤ 18

Step-by-step explanation:

got it correct on pluto

Which inequality is shown in the graph?

Answers

the answer is D just trust me lol

Answer: D

Step-by-step explanation:

I don’t know how to explain this to you step by step but when it comes to questions like this try to think more “logically” (if that makes sense) especially if you’re not familiar with the topic, like me. Think about it, if it was the first one the line on the graph would be above the middle line (its addition plus its greater than y so that wouldn’t be correct). Now the second one is subtraction but its less than y and everything thats coloured goes up not down so it has to be greater than y. C is not the correct answer because its a regular equation and thats not what the question wants plus its the only question out of the the 4 answers which is completely the odd one out so you can just cancel that out. Mow we come to the last answer which is the correct answer because it follows all the right “points” I mentioned earlier. I hope this makes sense to you, sorry I couldn’t explain it better!

Please answer correctly !!!!!! Will mark brainliest !!!!!!!!!!

Answers

8 because 8*8*8 is 512

PLZ HELP IM STUCK
(c-d)/5 - 2 = 0
c-6d=0
Given the equations, what is the value of c/d?
PLZ HELP WILL MARK BRAINLIEST

Answers

Answer:

On the first equation, which is (c-d)/5 - 2 = 0 Let's start by solving c.

First, you need to add 1/5d to both sides:

1/5 c + -1/5 d - 2 + 1/5 d = 0 + 1/5 d

1/5 c - 2 = 1/5 d

Next, add 2 to both sides:

1/5 c - 2 + 2 = 1/5 d + 2

1/5 c = 1/5 d + 2

Now, divide both sides by 1/5:

1/5 c/ 1/5 = 1/5 d + 2/ 1/5

c = d + 10

so, therefore, your answer is c = d + 10

____________________________________________________________

Now we are going to do the 2nd equation, which is c-6d=0 Lets solve c.

The only thing you need to do is you need to add 6d to both sides:

c − 6d + 6d = 0 + 6d

c = 6d

So, therefore, your answer is c = 6d

Which point on the number line represents the rational number -2 3/5

Answers

Answer:

Step-by-step explanation:

A number line is a line that can be used to show the position of directed numbers. It has the negative numbers to its left ( i.e before zero) and positive number to the right (i.e after zero).

Rational numbers are positive or negative integers, fractions or decimals.

The rational number -2[tex]\frac{3}{5}[/tex] = -[tex]\frac{13}{5}[/tex] = -2.6 can be shown on the number line as indicated in the image attached to this answer.

Answer:A

Step-by-step explanation: i did the assignment on edge

If ABCD is dilated by a factor of 1/3 the coordinate of C would be? Will mark barinlyist.

Answers

Answer: (2,1)

Step-by-step explanation:

A dilation is a transformation that produces an image that is the same shape as the original, but is a different size. A dilation stretches or shrinks the original figure by a Factor (in this case 1/3).

C =(6, 3)

[tex]C' = \frac{1}{3} (6, 3)=(\frac{6}{3}, \frac{3}{3} )=(2, 1)[/tex]

solve 8x+6=5(x+1)+2
please help me with this

Answers

solution: x=1/3
decimal: x=0.3333...
1/3 or 0.3333333 should be the correct answer for this question from the values you have stated.

What is the volume of the cylinder shown below?

Answers

Answer:

Option A

radius = 13 units

height = 20 units

Volume of the cylinder = πr²h

= π (13)² ×20

=3380π cu. units

The volume of the cylinder will be 3380 π cubic units. Then the correct option is A.

What is the volume of a right circular cylinder?

Let r be the radius and h be the height of the cylinder.

Then the volume of the cylinder will be

V = π r²h cubic units

The radius is 13 and height is 20.

Then the volume of the cylinder will be

V = π (13)² x 20

V = 3380 π cubic units

Then the correct option is A.

More about the volume of the cylinder link is given below.

https://brainly.com/question/12763699

#SPJ2

Ismael made a scaled copy of the following
quadrilateral. He used a scale factor less than 1.
B
A
С
16 units
D
What could be the length of the side that
corresponds with AD on the scaled copy of the
quadrilateral?
Choose 3 answers:
A 4 units
B 6.5 units
© 12 units
D 32 units
e 64 units​

Answers

Answer:

Options (A), (B) and (C)

Step-by-step explanation:

In the given figure,

Length of side AD = 16 units

If this side is scaled by a factor = k

Then the length of the corresponding side will be = 16k

If 0 < k < 1,

Then length of the corresponding side will be less than 16.

[Example: If k = [tex]\frac{1}{4}[/tex]

Therefore, scaled side of the corresponding side of the quadrilateral = [tex]16\times \frac{1}{4}[/tex] = 4]

That means length of corresponding sides may be 4, 6.5 and 12.

Options (A), (B) and (C) will be the answer.

Answer:

a b and c

Step-by-step explanation:

PLEASE HELP --Which of the following best describes the figure?

concave pentagon

not a polygon

regular pentagon

Answers

I believe it is a Concave pentagon

What is the sum of the interior angles in this shape?

Answers

Answer:

540°

Step-by-step explanation:

The sum of all the interior angles in a pentagon with 5 sides is 540°.

Answer:

540°

Step-by-step explanation:

Using the formula for finding the sum of interior angles of polygons

(n-2)×180

Where n is no. Of sides

For pentagon (5 sides) it will be

=(5-2)×180

=(3)×180

=540

So angles of a pentagon add up to 540°

Simplify 5^3/5^7 leaving your anwser in index form

Answers

Steps:

Simplify:

5³/5⁷

= 5³/5⁷

= 5*5*5/ 5*5*5*5*5*5*5

=1/5⁴

=1/625 (Decimal: 0.0016)

Steps by Step:

5³/5⁷

=125/5⁷

=125/78125

=1/625

Answer:   =1/625       (Decimal: 0.0016)

Please mark brainliest

Hope this helps.

UN NUMERO SE PUEDE ESCRIBIR COMO 2 POR 2 POR 3 POR 5.SI MULTIPLICAS ESTE NUMERO POR 6,¿CUAL SERA SU FACTORIZACION EN PRIMOS?¿Y SI LO MULTIPLICAS POR 8?

Answers

Answer:

2,880

Step-by-step explanation:

La facturación en primas sería de 2,880

Stuck on this help !

Answers

6/16. 3/8. Hope this helps.

Answer:

9/16

Step-by-step explanation:

Total of 16 combinations:

1:2

1:3

1:4

1:5

2:2

2:3

2:4

2:5

3:2

3:3

3:4

3:5

4:2

4:3

4:4

4:5

Total is 5 or less

1:2

1:3

1:4

2:1

2:2

2:3

3:1

3:2

4:1

I got 9/16

What is the value of X

Answers

Answer:

x=28

Step-by-step explanation:

The interior angles of a triangle must add to 180 degrees.

Therefore,

x+95+57=180

Add 95 and 57

x+152=180

We are trying to find x. In order to do this, we must get x by itself. 152 is being added to x. The opposite of addition is subtraction. So subtract 152 from both sides.

x+152-152=180-152

x=180-152

x=28

Let’s check our answer. Add all the angles together, to be sure they add to 180 degrees.

x+95+57=180

Substitute 28 for x

28+95+57=180

180=180

The equation above is true, so we know that x is equal to 28.

____________________________________

Hey!!

Solution:

X+95+57=180 (sum of angle in triangle)

or,X+152=180

or,X=180-152

X=28 degree.

The value of X is 28 degree.

Hope it helps..

Good luck on your assignment..

Stay Safe...

_____________________________________

Can anyone help w/ this?

Answers

Answer:

[tex]170in^3[/tex]

Step-by-step explanation:

[tex]V=\pi r^2h=\pi *3^2*6=169.646\\=170in^3[/tex]

Prove that the difference of the squares of 2 consecutive numbers is always the sum of the 2 numbers

Answers

Answer:

see explanation

Step-by-step explanation:

let the 2 consecutive numbers be n and n + 1

sum = n + n + 1 = 2n + 1

and

(n + 1)² - n² ← difference of the squares

= n² + 2n + 1 - n²

= 2n + 1 = sum of 2 numbers

What is the value of the expression below?
644,8
A. 16
B. 42

Answers

Answer:

the value of the expression is

Step-by-step explanation:

42

64^4/6

the answer is A. 16


4 yz and 2y^2
Find the gcf of each group of monomials

Answers

Answer:

2y

Step-by-step explanation:

To find the GCF ( Greatest Common factor), for an algebraic expression like the one given, all you have to do if look over the expression and circle all the terms they both share, in this case, both 4yz and 2y^2 had 2y in them, except in different forms.

If you find it difficult to recognize the similarities, divide the expressions as much as you can.

Hope this helps

Write 28 as a product of its prime factors

Answers

Answer:

2*2*7

Step-by-step explanation:

28 = 2*2*7

Answer:

2 x 2 x 7

Step-by-step explanation:

How is the product of 2 and -5 shown on a number line?
4
3
7
2
-1 0 1
4 5 6 7 8 9 10
-10 -3 78 51
-2
-- 0 1 2 3 4 5 6 7 8 10
N
--10-9-6--6-5-4-3 -2 -1 0 1 2 3
4
$
8
8
10
-1 0 1
6 67
w

Answers

Answer:

the answer is -10

Step-by-step explanation:

2 × -5 =-10

The procedure for representing products 2 and -5 is described as follows:

Draw the distance of the first negative number then Extend the distance by the magnitude of the second negative number.

What is a number line?

Integers are arranged at equal intervals along horizontal straight lines called number lines. A number line can be used to represent every number in a series. The endpoints of this line go on forever.

This refers to those as closed number lines. Number lines might be alternatively left empty or blank.

In the number line, negative numbers represent leftward distances. The product of a negative number and a positive number will be equal to the distance of the negative one by the number of times such distance is repeated.

The procedure is described as follows:

Draw the distance of the first negative number then Extend the distance by the magnitude of the second negative number.

And Draw the distance of the reflection of the result found in 2.

Learn more about number line here:

brainly.com/question/13425491

#SPJ7

In a quadrilateral A B C D angle d is
equal to 150° and angle a = angle b=angle c
Eind angle A, angle b, and angle c​

Answers

Answer:

Step-by-step explanation:

Let ∠A = x

Therefore, ∠A = ∠B = ∠C = x

The sum of all angles of a quadrilateral is 360

∠D + ∠A + ∠B + ∠C =360

150 +x + x + x =360

150 + 3x = 360

3x = 360 - 150

3x = 210

x = 210/3

x = 70

∠A = ∠B = ∠C = x = 70°

Find the zeros
of y= x2 - 6x- 4 by completing the square.
A. X=-3+ 13
B. X=3+ 13
C. X = +3
D. X = 31.5

Answers

Step-by-step explanation:

answer is (b) x=3+√13

-

A population of 100 frogs has a growth rate of 1.25% each month. At this growth rate,


the function f(x) = 100(1.25)* gives the population in x months. In how many months


will the population first reach 500?

Answers

Answer: 7.2 months

Step-by-step explanation:

Hi, to answer this question we have to substitute f(x) =500 in the equation given:

f(x) = 100(1.25)^x

500= 100(1.25)^x

Solving for x (number of months)

500/100 = 1.25^x

5 = 1.25^x

log 5 =log 1.25^x

log 5 =x (log 1.25)

log 5 /log 1.25 =x

x = 7.2 months

Feel free to ask for more if needed or if you did not understand something.  

Jasmine is going to put $20 worth of gasoline in her car. She goes to the gas station where she pays a price of p-dollars per gallon for gas and gets g-gallons for it. Which of these two variables, the price or the gallons, is the dependent variable? Explain.

Answers

Answer:

I say p because in order to see how many dollars she pays, she needs to find how gallons are there.

Step-by-step explanation:

Correct me if I am wrong

Hyperbola Question:

Two neighbors who live one mile apart hear an explosion while they are talking on the telephone. One neighbor hears the explosion two seconds before the other. If sound travels at 1100 feet
per second, determine the equation of the hyperbola on which the explosion was located.

(i know the answer is
[tex] \frac{ {x}^{2} }{1210000} - \frac{y {}^{2} }{5759600} = 1[/tex]
but i don't understand how you get it)​

Answers

Answer:

[tex]\dfrac{x^{2}}{1210000 } - \dfrac{y^{2}}{5759600} = 1[/tex]

Step-by-step explanation:

A hyperbola is a curve for which the difference of the distances |d₂ - d₁| of any point P from the foci is constant.

The definition leads to the equation

[tex]\dfrac{x^{2}}{a^{2}} - \dfrac{y^{2}}{b^{2}} = 1[/tex]

1. Calculate the value of a²

Assume the neighbours are at the foci A and B.

The explosion is farther from B than from A, so it occurred on the right branch of the hyperbola.

Then AB = 1 mi = 5280 ft

and the distance from the focus to the y-axis is

c = 2640

The vertices are (±a,0).

The speed of sound is 1100 ft/s, so B is 2200 ft further from the explosion.  

The distance from A to the vertex V₁ is c - a. Then

AB = 2200 + 2(c - a) = 2200 -2(2640 - 2a) = 2200 +5280- 2a = 5280

2a = 2200

a = 1100

a² = 1 210 000

2. Calculate the value of b²

[tex]\begin{array}{rcl}a^{2} + b^{2} & = & c^{2}\\1100^{2} + b^{2} & = & 2640^{2}\\b^{2} & = & 2640^{2} - 1100^{2}\\& = & 6969600 - 1210000\\& = & \mathbf{5759600}\\\end{array}[/tex]

3. Write the equation for the hyperbola

[tex]\mathbf{\dfrac{x^{2}}{1210000 } - \dfrac{y^{2}}{5759600}} = \mathbf{1}[/tex]

The equation of the hyperbola is [tex]\frac{x^2}{1210000} -\frac{y^2}{5759600^2} = 1[/tex]

How to determine the equation of the hyperbola

The equation of an hyperbola is represented as:

[tex]\frac{x^2}{a^2} -\frac{y^2}{b^2} = 1[/tex]

The given parameters are given as:

AB = 1 mile

a = 1100 feet

Express the distance AB as feet

AB = 5280 ft

So, the distance AB from the foci is:

[tex]c = \frac{AB}2[/tex]

This gives

[tex]c = \frac{5280}2[/tex]

[tex]c = 2640[/tex]

The value of b is calculated as:

[tex]a^2 + b^2 = c^2[/tex]

So, we have:

[tex]1100^2 + b^2 = 2640^2[/tex]

This gives

[tex]b^2 = 2640^2 -1100^2[/tex]

Evaluate

[tex]b^2 = 5759600[/tex]

Recall that:

[tex]\frac{x^2}{a^2} -\frac{y^2}{b^2} = 1[/tex]

So, we have:

[tex]\frac{x^2}{1100^2} -\frac{y^2}{5759600^2} = 1[/tex]

[tex]\frac{x^2}{1210000} -\frac{y^2}{5759600^2} = 1[/tex]

Hence, the equation of the hyperbola is [tex]\frac{x^2}{1210000} -\frac{y^2}{5759600^2} = 1[/tex]

Read more about hyperbola at:

https://brainly.com/question/19395889

find the values of a, b, and c.

Answers

Answer:

94°, 120°, 152°

Step-by-step explanation:

78°=(b+36°)/2 ⇒ b/2=78°-18° ⇒ b/2=60° ⇒ b=120°87°=(120°+x)/2 ⇒ x/2=86°-60° ⇒ x= 52°c=360°-(120°+52°+36°)= 152°a=(152°+36°)/2=94°

A painter spends 3 hours working on a painting. A sculptor spends 23 as long working on a sculpture. How long does the sculptor work?

Answers

Answer:

69 hours

Step-by-step explanation:

The painter spends 3 hours working on a painting.

The sculptor spends 23 times as long as the painter.

The amount of time the sculptor spent is:

23 * 3 = 69 hours

The sculptor works for 69 hours.

Kwame must earn more than 16 1616 gold pieces per day to afford living in the City of Gold. Write an inequality that describes G GG, the number of gold pieces Kwame must earn per day to afford living in the City of Gold.

Answers

Answer:

G > 16

Step-by-step explanation:

The expression "more than" 16 gold pieces per day means that the number of gold pieces Kwame earns each day (G) must be greater than 16. In order to represent that as an inequality, we should use the greater-than sign: >.

The inequality that describes the number of gold pieces Kwame must earn per day  is G > 16.

it’s cut off but it says “about how many of them would you expect to be marked with a white dot.”

Answers

Answer:

Assuming that the person does not account for probability changes when counters are not replaced, the answer is 20 counters.

Step-by-step explanation:

Please refer to the picture above.

Disclaimer: Probability is not used to deduce the question. The knowledge of fraction is used instead to avoid excess complexity.

Assuming the number of dabbed counters follow the ratio of 1/4 as deduced from the number of dabbed counters in 200 counters, you would expect the number of dabbed counters in 80 counters to follow the same ratio of 1/4. Hence the answer is 20.

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