Suppose that there are two types of tickets to a show: advance and same-day. Advance tickets cost $30 and same-day tickets cost $15. For one performance, there were 65 tickets sold in all, and the total amount paid for them was $1500 . How many tickets of each type were sold?

Answers

Answer 1

The advance tickets were 35 in number and the same day ticket will be 30 in number.

What will be the number of tickets?

To find out the number of the tickets sold we will give some notations so the notations are as follows:-

A= Cost of advance tickets=$30

S= cost of same-day ticket-=15

[tex]N_A=[/tex] Number of the advance tickets

[tex]N_S=[/tex]Number of same-day tickets.

The equations made by the given data will be:-

[tex]30N_A+15N_S=1500\\\\\\N_A+N_S=65[/tex]

By solving the above equations:-

[tex]N_S=30\ \ \ \ \ \ N_A=35[/tex]

Hence the advance tickets were 35 in number and the same day ticket will be 30 in number.

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Related Questions

Sixty-five randomly selected car salespersons were asked the number of cars they generally sell in one week. Fourteen people answered that they generally sell two cars; nineteen generally sell three cars; twelve generally sell four cars; nine generally sell five cars; eleven generally sell six cars. Calculate the following. (Round your answer to two decimal places.)
sample mean = x

Answers

If Sixty-five randomly selected car salespersons were asked the number of cars they generally sell in one week. Then the mean of the sample is 3.75.

What is Mean?

The average of a group of numbers is simply defined as the mean. In statistics, the mean is regarded as one of the indicators of central tendency.

Sixty-five randomly selected car salespersons were asked the number of cars they generally sell in one week.

Fourteen people answered that they generally sell two cars; nineteen generally sell three cars; twelve generally sell four cars; nine generally sell five cars; eleven generally sell six cars.

Then the mean of the sample will be

[tex]\rm Mean = \dfrac{1}{N} \times \Sigma _{i} \ \ x_if_i[/tex]

Then the table is given below.

Then we have

[tex]\rm Mean = \dfrac{1}{65} \times (244)\\\\\\Mean = 3.7538\\\\Mean \approx 3.75[/tex]

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These are similar
figures. Solve for x

Answers

Answer:

x= the second one I hope I helped

I need help in this question

Answers

Answer:

I am not entirely sure but The maximum is 500 and b $0.50

7. Given the following Balance Sheet
extract, calculate the net profit on the
Income Statement. (Assuming tax rate
= 10% of operating profit)
Balance Sheet Extract:
Shareholders Equity
Common Stock
200
25
Retained Earnings
Revenues
170
Cost of Sales
(103)
Salaries
(30)
Interest
(12)

Answers

The net profit on the Income Statement based on the balance sheet given will be 21.

How to calculate the net profit?

The net profit will be calculated thus:

Revenue = 170

Less coat of sales = 103

Less salaries= 30

Operating income = 30

Less interest = 12

Income before tax = 25

Less Income tax = (10% × 37) = 3.7

Net profit = 21.3 = 21

Therefore, the net profit on the Income Statement based on the balance sheet given will be 21.

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Let x be the amount of hours spent studying and let y be the number of points earned on a quiz. The graph of the relationship between x and y is below. Which equation represents this relationship?

Answers

Answer:

y=0.5x + 4

..............

Answer:

The answer is C y=0.5x+4

Step-by-step explanation:

A bag of snacks contains 3 flavors: cherry, lemon, and grape. Carol will take 1 snack from the bag without looking. The probability for each flavor is shown in the table.



Answers

Least likely - lemon
Middle - cherry
Most likely - grape

pretend this is a 20 letter question please help me

Answers

Answer:

1.64+0.94v

Step-by-step explanation:

0.2(8.2+4.7v)

0.2(8.2)+0.2(4.7v)

1.64+0.94v

I'm not very confident with this answer but I hope this helps

I need help asap please

Answers

Answer:

17.5

Step-by-step explanation:

Two points which lie on the line are : (0, 0) and (4, 70)

Constant of proportionality :

y₂ - y₁ / x₂ - x₁70 - 0 / 4 - 070/417.5

Curtis threw 15 darts at a dartboard. 40% of his darts hit the bullseye. How many darts did not hit the bullseye?

Answers

Answer:

9

Step-by-step explanation:

Because 40% hit the bullseye, we can subtract 40% from 100% meaning 60% did not hit the bullseye.

We can then convert 60% into the decimal .6 and multiply it by 15.

15 x .6 = 9

Which figure could Jose have constructed?​

Answers

Answer:

what is the figure so i can awnser iit

Step-by-step explanation:

?

If ABCD and MNPQ are squares, where M is the center of the first. Calculate x

Answers

Answer:

x=48º

Step-by-step explanation:

Drag and drop to complete the proof below:
Given: DE is tangent to circle C, at point F
Prove: E
D
F
חד
C

Answers

The proof of the given statements is shown below:

What is tangent to a circle?

A line segment which touches a circle specified to only one point is called a tangent to that circle.

1. given

2. A line is a tangent to a circle if and only if the line is perpendicular to the radius drawn to the point of tangency.

3. Since the tangent is perpendicular to radius i.e., EFC is right angle then,

   angle EFC =90

4.  Sum of interior angles of a triangle is 180°.

5. proved above: angle EFC= 90

6. FEC + ECF= 180-90=90

7. As proved above

  FEC + ECF=90, its shows that angle FEC and ECF are complementary angle.

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If triangle PQR ~ triangle XYZ, with a scale factor of 8:5, find the value of x and then use to find the perimeter of triangle PQR. PQ: 16, QR: 96, PR: 8x ; XY: 10, YZ: 60, XZ: 55

Answers

16/10= 96/60=8x/55=8/5

8x*5=55*8

40x=440

x=11

What is value of m in the equation 3 (2x - 4) = x +3​

Answers

Step-by-step explanation:

6x-12=x+3

6x-x=3+12

5x=15

x=15/5

x=3

Answer:

x = 3

Step-by-step explanation:

What is value of m in the equation

3 (2x - 4) = x +3​?

3 (2x - 4) = x + 3​

6x - 12 = x + 3

5x = 15

x = 15 : 5

x = 3

Use the the limit of sin of x all over x as x approaches 0 equals 1 to determine the limit of x times cosine of the quantity 5 times x all over sine of the quantity 5 times x as x approaches 0.

Answers

The limit of x times cosine of the quantity 5 times x all over sine of the quantity 5 times x as x approaches 0 is determined as ¹/₅.

Limit of the function

The limit of the function is determined as follows;

[tex]\lim_{x \to 0} \ \frac{sinx}{x} = 1\\\\ \lim_{x \to 0} \ \frac{x(cos5x)}{sin5x}[/tex]

The derivative of the function;

[tex]\frac{xcos(5x)}{sin5x} = \frac{-5x(sin(5x)) + cos(5x)}{5cos(5x)}\\\\= \frac{-5x(sin(5x))}{5cos(5x)} + \frac{cos(5x)}{5cos(5x)} \\\\ \lim_{x \to 0} \\\\= 0 + \frac{1}{5} = \frac{1}{5}[/tex]

Thus, the limit of x times cosine of the quantity 5 times x all over sine of the quantity 5 times x as x approaches 0 is determined as ¹/₅.

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HELP NEEDED ASAP
answer these problems (image provided)
1. What is the volume of the first cube?



What do you know about the sides of a cube?





2. What is the volume of the cube with sides of 24m?





3. What is the volume of the cube with sides of 7m?





4. What is the combined volume of these 2 cubes?





5. How much more gold do you get in the better option?

Answers

Step-by-step explanation:

1 15625 m

2 13824 m

3 343 m

4 14167 m

5 cube with 25 m

A budget splits the money available each month between departments A, B and C in the ratio 4:2:3. 1.1 If the total amount available in the budget is R 450 000 for the upcoming month, how much will department B have available?

Answers

Answer:

B  =  R 100 000

Step-by-step explanation:

B will be   2  out of   4 + 3 + 2   =    2/9 of the total

            2/9 * 450 000 = 100 000

Translate into an equation.
The sum of seven and a number, x, is five.

Answers

Answer:

x + 7 = 5

Step-by-step explanation:

I think this should be an equation I’m in 7th and I am learning these again so it should be an equation.

can anyone tell me what points I plot these two at ? ty

Answers

Answer:

Both graphs in 2 separate attachments--placed in order

Hope it helps.

Hello ~

My name is Sxnnysoul, and I will be answering your question today! :D

Let's solve for x ~

⇢ [tex]\sf{x^2 \: + \: y^2 \: = \: 4}[/tex]

⇢  [tex]\sf{Step \: 1: \: Add \: -y^2 \: to \: both \: sides.}[/tex]

⇢  [tex]\sf{x^2 \: + \: y^2 \: + \: -y^2 \: + \: = \: 4 \: + \: -y^2}[/tex]

⇢  [tex]\sf{x^2 \: + \: -y^2 \: + \: 4}[/tex]

⇢  [tex]\sf{Step \: 2: \: Take \: square \: root.}[/tex]

⇢  [tex]\sf{x \: = \sqrt{-y^2 \: + \: 4} \: or \: = - \sqrt{-y^2 \: + \: 4}[/tex]

P.S here's the graph that might help you!

Let's solve of x ~

⇢  [tex]\sf{x^2 \: + \: y^2 \: = \: 32}[/tex]

⇢  [tex]\sf{Step \: 1: \: Add \: -y^2 \: to \: both \: sides.}[/tex]

⇢  [tex]\sf{x^2 \: + \: y^2 \: + \: -y^2 \: + \: = \: 32 \: + \: -y^2}[/tex]

⇢  [tex]\sf{x^2 \: + \: -y^2 \: + \: 32}[/tex]

⇢  [tex]\sf{Step \: 2: \: Take \: square \: root.}[/tex]

⇢  [tex]\sf{x \: = \sqrt{-y^2 \: + \: 32} \: or \: x \: = - \sqrt{-y^2 \: + \: 32}[/tex]

P.S here's the second image of the graph. so, you won't get confused.

Hope It Helps! ~

~ Learn With Sxnnysoul ~

[tex]\underline{Answer :}[/tex]

ꜱ x ɴ ɴ ʏ ꜱ ᴏ ᴜ ʟ

Given:
O {2,5}
O {1, 7, 11}
Set A = 1, 2, 5, 7, 11
Set B= 1, 4, 7, 8, 11
What is AUB?
O {1, 2, 4, 5, 8, 11}
O {1, 2, 4, 5, 7, 8, 11}
Submit Answer

Answers

Step-by-step explanation:

the united set of A and B contains every element of both sets without listing any element twice.

so, it is

{1, 2, 4, 5, 7, 8, 11}

A recipe for chocolate pudding calls for 600 milliliters of milk and 120 milliliters of heavy cream. How many liters of liquid are needed for 2 servings of pudding? I promise I will mark you brainliest answer.

Answers

Given:Milk= 600 mlHeavy cream= 120 mlTo find:

The amount liters of liquid needed for 2 servings of pudding.

Solution:1 serving:

[tex]600 + 120[/tex]

[tex] = 720 \: ml[/tex]

2 serving:

[tex]720 \times 2[/tex]

[tex] = 1440 \: ml[/tex]

Let's solve

[tex]\boxed{\sf{Formula: 1 \: L = 1000 \: ml}}[/tex]

[tex] \frac{1440}{1000} [/tex]

[tex]\large\boxed{\sf{= 1.44 \: L}}[/tex]

Therefore, 1.44 litres of liquid are required for 2 servings.

The expression 12.66d + 11.12c can be used to find the total cost of d pounds of almonds and c pounds of cashews. How much does it cost to buy pounds of almonds and pounds of cashews?

Pls help

Answers

=11.12c+12.56d you add them to together

The points (-4, -3) and (r,15) lie on a line with slope 2. Find the missing coordinate

Answers

Answer is 5


Slope is found by finding change in y over change in x


First I solved for Y, -15-3= -18


So I knew x had to be -9 for the slope to be 2


See picture for detailed math

The radius, R, of a sphere is 7.8 m. Calculate the sphere's volume, V.
Use the value 3.14 for , and round your answer to the nearest tenth. (Do not round any intermediate computations.)

Answers

Answer:

1986.8m³

Step-by-step explanation:

Radius=7.8m

Volume of sphere =4/3pi r³

=4/3×3.14×7.8³=1986.8m³

The sum of two consecutive integers is 5.
What are the numbers?
Hint. Consecutive integers differ by 1,
so let x = smaller integer and y = x + 1 =
next larger.

Answers

They are 2 and 3, since 2 + 3 = 5

Let x be the smaller number. Then

x + (x + 1) = 5

2x + 1 = 5

2x = 4

x = 2

x + 1 = 3

Solve this fraction, thanks!
[tex] \frac{10}{5} + \frac{ - 12}{5} [/tex]

Answers

Answer:

-2/5

Step-by-step explanation:

I actually didn't see the negative sign sorry and thanks for correcting my mistake!!!

Answer:

-2/5

Step-by-step explanation:

+ × - = -

10/5-12/5

apply the fraction rule a/c-b/c =a-b/c

10-12/5

substract 10-12 =-2

-2/5

Determine whether a triangle with the given vertices is a scalene, isosceles, or equilateral tri Scalene Isosceles Equilateral triangle triangle triangle (a) J (2, 0), K (-1, -2), L (2,6) ID (b) A (3, 1), B(-3, 1), C (0, 6) (c) D (-8, 3), E(-1,0), F (-1, 6) ? X S​

Answers

Answer:

 (a) isosceles

 (b), (c) scalene

Step-by-step explanation:

The lengths of the sides can be found from the distance formula:

 d = √((x2 -x1)^2 +(y2 -y1)^2)

Here, there are 9 lengths to be computed, so it is useful to let a spreadsheet or graphing calculator do it.

We find triangle (a) has two sides the same length, so it is isosceles.

The other two triangles have three different side lengths, so they are scalene.

_____

Additional comment

It is impossible to specify an equilateral triangle using rational coordinates.

Solve the following equation algebraically:
3x²=12
A. +3
b. ±2

C.+3.5
d. ±1.5

Answers

Answer:x = ± 2

Step-by-step explanation:3x² = 12

x² = 12/3

x² = 4

x = √4

x = ± 2

Answer: x = ± 2 hopes that helps you out bud

Answer

x = 2 or x = -2

Brainliest?

Select the correct location on the table.
Select the expression that is equivalent to . (Refer to the image)

Answers

Answer:

left one on 3rd row

Step-by-step explanation:

using the rules of exponents/ radicals

[tex]a^{-m}[/tex] = [tex]\frac{1}{a^{m} }[/tex]

[tex]a^{\frac{m}{n} }[/tex] = [tex]\sqrt[n]{a^{m} }[/tex]

given

[tex]12^{-\frac{4}{7} }[/tex]

= [tex]\frac{1}{12^{\frac{4}{7} } }[/tex]

= [tex]\frac{1}{\sqrt[7]{12^{4} } }[/tex]

The residents of a city voted on whether to raise property taxes. The ratio of yes votes to no votes was 6 to 5. If there were 10,901 total votes, how many yes votes were there?

Answers

There were 5,946 yes votes to 4,955 no votes.
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