A ticket booth sold 486 tickets and collected $2416.50 in ticket sales. Adult
tickets are $5.50 and child tickets are $4. How many tickets of each type
were sold?

Answers

Answer 1

Answer:

171

Step-by-step explanation:

Step 1: Let "x" and "y" be the variables

Let x = the number of adult tickets sold

Let y = the number of child tickets sold

Step 2: Add the variables and subtract the "x" variable

x + y = 486    y = 486 - x

Step 3: Add the given amounts by the variables next to it to equal the total

5.50x + 4y = 2416.50

5.50x + 4(486 - x) = 2416.50

5.50x + 1944 - 4x = 2416.50

Step 4: Subtracting the result from the number of tickets the booth sold

1.5x = 472.5

x = 315

y = 486 - 315 = 171

Therefore, there are 171 tickets of each type sold.


Related Questions

Convert 118 to radian measure.

Round your answer to the nearest hundredth.

Answers

Answer:

2.06 rad

Step-by-step explanation:

To change degree measure to radian measure

radians = degrees × [tex]\frac{\pi }{180}[/tex] , then

radians = 118 × [tex]\frac{\pi }{180}[/tex]

            = [tex]\frac{118(\pi )}{180}[/tex] ≈ 2.06 rad ( to the nearest hundredth )

Answer:

2.06 radians to nearest hundredth.

Step-by-step explanation:

Radians = degrees * π/180

= 118 * π/180

= 0.6556π

= 2.0596.

please answer i will answer any question and mark you as brain lest it gives you 50 points answer both for 100

Answers

Answer:

...

Step-by-step explanation:

1. B

angle A is 63 since 27+90= 117, 180-117= 63 (since a straight line is 180°)

2. 7x + 10 = 150 (since they are vertical angles)

7x = 140

x = 20

now plug in 7(20) +10

140+10=150

Is the triangle with the given side lengths a right triangle? EXPLAIN how you know.
3.9 mm, 8.0 mm, 8.9 mm

Answers

Answer:

It is a right triangle

Step-by-step explanation:

Use the Pythagorean theorem:

[tex]a^2+b^2=c^2\\\\3.9^2+8.0^2=8.9^2\\\\15.21+64=79.21\\\\79.21=79.21[/tex]

if they weren't equal, it wouldn't be a right triangle.

If 5% of the 300 students at NewzBrain Middle School were absent from school, how many of the students were in school?

Answers

Answer:

285 students were in school.

Step-by-step explanation:

5%=0.05

0.05*300=15

300-15=285

There were 285 students in school.

Given that 5% of the 300 students were absent, we can calculate it as follows:

= 5% of 300

= (5/100) x 300

= 0.05 x 300

= 15

Therefore, there were 15 students absent from school.

Now, the In school students

Total students - Absent students = In-school students

300 - 15 = 285

So, there were 285 students in school.

Learn more about Percentage here:

https://brainly.com/question/20887078

#SPJ6

I 1) James ran 1.8 miles, Kyle ran 1 miles, and Frank ran 1.85 miles. Put the boys in order from the
shortest distance run to the longest distance run.
2
6
5
1 2) Write an algebraic expression for the phrase "19 less than x squared."
4
3
2
-2
3) When Michael woke up in the morning, the temperature was - 3. F. Later that day
the temperature was 10' F, so Michael said that the temperature had gone up
7 degrees. Is he correct? Explain why or why not.
--3

Answers

Answer:

lkjhgvcghjklm, bvhgyiuoklmnbgjhjk;.m, nb

Step-by-step explanation:

The school that Perry goes to is selling tickets to a spring musical. On the first day of ticket salesthe school sold 2 adult tickets and 8 child tickets for a total of $112. The school took in $160 onthe second day by selling 6 adult tickets and 8 child tickets. Find the price of an adult ticket andthe price of a child ticket.

Answers

Answer:

Adult ticket: $12

Child ticket: $11

PLEASE ANSWER PLEASE! I

Answers

Answer:

4.45454545455  

=4.45

Step-by-step explanation:

so yeah your right just put a bar under 45 like this,,,,

4.45

Anita has a cellphone contract that costs her R100 per month plus 85 cents per peak time SMS,and 25 cents per off-peak time SMS.if she sends 45 SMSs during peak time and 105 SMSs during off-peak time In a month, what will her monthly bill come to?

Answers

Answer:

Anita's monthly bill will be $164.25.

Step-by-step explanation:

Since Anita has a cellphone contract that costs her R100 per month plus 85 cents per peak time SMS, and 25 cents per off-peak time SMS, if she sends 45 SMSs during peak time and 105 SMSs during off-peak time In a month To determine what will her monthly bill come to, the following calculation must be performed:

100 + (0.85 x 45) + (0.25 x 105) = X

100 + 38.25 + 26.25 = X

138.25 + 26.25 = X

164.25 = X

Therefore, her monthly bill will be $ 164.25.

Solve for the exact value of the missing side length of this right triangle
6
13
Х

Answers

X=71

A right triangle has an angel of 90 degrees
So 13+6=22
90-19=71
Therefore X=71

Complete the probability distribution table by find the probability of a student being involved in more than one activity.

A: 576/720
B: 144/720
C:100/720
D: 360/720

Answers

Answer:

B. 144/720

#Correct Me If I Wrong

I think it’s D hope that helped


Use the distance formula to find the distance to the nearest tenth, from R17, -2) to W(-2, 3).​

Answers

Answer:

17.7

Step-by-step explanation:

I'm assuming you meant R(17, -2) to W(-2, 3).  Here the x-coordinate changes by 17 - (-2), or 19, and the y-coordinate by 5.  Think of these as the legs of a right triangle.  The distance between these points is the length of the hypotenuse of this triangle:  d = √(5^2 + 17^2)

or √314, which, to the nearest tenth is 17.7.

Solve the simultaneous equations

x
+
6
y
=

26
x
+
5
y
=

18

Answers

Answer:

x=2, y = -4.

or as an ordered pair it is (2, -4).

Step-by-step explanation:

-x + 6y = -26

x + 5y =  -18      Add these 2 equations to eliminate x:

0 + 11y = -44

y = -44/11 = -4.

Now substitute y = -4 in the first equation:

-x + 6(-4) = -26

-x - 24 = -26

-x = -26 + 24 = -2

x = 2.

Check the result by substituting in equation 2:

x + 5y = 2 + 5(-4) = 2 - 20 = -18  - checks out.

pls help
pls show handwritten work
with full explanation
thank you
and this is factorise​

Answers

Answer:

This may help you

look it once.

[tex]\huge{ \mathfrak{  \underline{ Answer} \:  \:  ✓ }}[/tex]

Question 1 :

[tex] \small(a {}^{2} b {}^{2} + 1 + ab - c)(a {}^{2} {b}^{2} + 1 - ab + c)[/tex]

_____________________________

[tex]\small a⁴b⁴ + 1 + a²b² - c² + 2abc[/tex]

[tex]\small( a⁴b⁴+ 1 ) + a²b² - c² + 2abc[/tex]

[tex]\small[ (a²b²)² + 1² ] + a²b² - c² + 2abc [/tex]

[tex]\small(a²b² + 1 + 2a²b² - 2a²b²) + a²b² - c² + 2abc[/tex]

[tex]\small(a²b² + 1)² - 2a²b² + a²b² - c² + 2abc[/tex]

[tex]\small(a²b² + 1)² - a²b² - c² + 2abc[/tex]

[tex]\small(a²b² + 1)² - (a²b² + c² - 2abc)[/tex]

[tex]\small(a²b² + 1)² - (ab - c)²[/tex]

[tex]\small(a²b² + 1 + ab - c) (a²b² + 1 - ab + c)[/tex]

_____________________________

[tex]\mathrm{ ☠ \: TeeNForeveR \:☠ }[/tex]

90 POINTS!! Right answers will earn brainly.
The dot plots below show the test scores of some mathematics students and some science students: Two dot plots are shown one below the other. The top and the bottom plots have the title Mathematics Students and Science Students respectively. Below the line for each dot plot is written Mark. The markings on each line are from 30 to 50 at intervals of 1. For the top plot there are two dots each for 34 and 40 and 1 dot each for 32, 33, 35, 37, and 39. For the bottom plot there are 2 dots each for 43, 46 and 49 and 1 dot each for 41, 42, and 47. Based on visual inspection of the dot plots, which group of students appears to have the larger average score? The mathematics students The science students Both groups are similar. Not enough information is available to draw a conclusion.

Answers

Answer:

I believe the Science Students have a higher average grade on their respective tests.

Step-by-step explanation:

The mathematics students all scored between 30-40 on their test while the science students scored between 40-50%. This shows that the science students had a larger average score. Hope this helps! Have a great day :)

3RD TIME PLS I NEED THIS GRADE

Answers

It already showed filled out and completed so you need other answers because those are incorrect or what ma’am

Determine the exact and approximate circumference of the circle.

Exact: inches?

Approximate: inches?

Answers

Answer:

C (circumference) =2×π×r

we've got a 30-60-90 triangle

which means 9=d√3, d=5.19 exact inches

or ≈5.20 inches

d=2r, r=5.20÷2≈2.60 inches

C=2×3.14×2.60≈16.328

Find the Ratio and the Exact value of the given Sin A.​

Answers

Answer:

Step-by-step explanation:

take reference angle as A

using sin rule

sin A=opposite/hypotenuse

sin A=5/13

sin A=0.38

A=sin 22.5

A =22.5 degree

Select all expressions whose value is negative. A. - B. C. -15 D. (-8) ) E. (- 8) (- 10
help pls!​

Answers

Answer:

A, B, D

Step-by-step explanation:

neg * pos = neg

neg * neg = pos

neg / pos = neg

neg / neg = pos

Use deductive reasoning to show that P=R

Answers

Answer:

∠P ≅ ∠R

Step-by-step explanation:

We can see here two triangles , ∆ PQS and ∆ RQS.

To Prove :-

∠P ≅ ∠R

We can prove the given two triangles congruent then we can easily prove it out.

In ∆ PQS and ∆ RQS

PQ = QR ( given )QS = QS ( common)∠PQS = ∠ RQS .

Therefore by SAS congruence condition , both triangles are congruent .

Hence ,

∠P ≅ ∠R ( by corresponding parts of congruent ∆s)

Hence Proved !

Pls help on this because im very confused.

Answers

Answer: 36?

Step-by-step explanation:

base times height is area and a square has all equal sides so 6*6

i’m assuming 36!

Area is length times width.

since the problem only says 6 i’m not quite exactly sure what the answer would be. I’m gonna asume 36!!

Hope this helps!

Evaluate this exponential expression. 6•(4+2)^2-3^2​

Answers

Do you use PEMDAS? or do you know how to

Answer: 207

I hope you get it right

please helpppppppppp

Answers

Answer:

I think it is 2.............

1. Which is equivalent to (3x - 8)(4x + 2)?
(A
B
12x2 + 16
12x2 - 16
12x2 - 6x + 16
12x2 - 26x - 16
C)
D

Answers

Answer:

12x2 + 6x - 16

Step-by-step explanation:

You foil. "FOIL" stands for "FIRST - OUTER - INNER - LAST" numbers of the two parenthesis.

Answer:

12x² - 26x - 16

Step-by-step explanation:

(3x - 8) (4x + 2)

= 3x (4x + 2) - 8 (4x + 2)

= 12x² + 6x - 32x - 16

= 12x² - 26x - 16

Do mechanical waves travel faster or slower in more dense media?

Answers

When waves travel from one medium to another the frequency never changes. As waves travel into the denser medium, they slow down and wavelength decreases. Part of the wave travels faster for longer causing the wave to turn. The wave is slower but the wavelength is shorter meaning frequency remains the same

Answer: When waves travel from one medium to another the frequency never changes. As waves travel into the denser medium, they slow down and wavelength decreases. Part of the wave travels faster for longer causing the wave to turn. The wave is slower but the wavelength is shorter meaning frequency remains the same.

Step-by-step explanation:

what is the meaning of equations​

Answers

Step-by-step explanation:

What is an equation? In algebra, an equation can be defined as a mathematical statement consisting of an equal symbol between two algebraic expressions that have the same value. The most basic and common algebraic equations in math consist of one or more variables.

a statement that the values of two mathematical expressions are equal (indicated by the sign =).

Wich function has the greatest rate change.

Answers

Answer: A

Step-by-step explanation: A has the greatest rate of change because it moves 5 spaces up and one right while B moves 3 spaces and C moves 4 spaces.

6. Which expression is equivalent to 2(35 – 4) – (89 + 3)?
A. -2g - 1
B. -2g - 5
C. -2g - 7
D. -2g - 11

Answers

Answer:

Step-by-step explanation:

Following order of operations rules srequires that we do any work inside parentheses first.  Thus, (35 - 4) = (31), and (89 + 3) = (92).  Then:

2(35 – 4) – (89 + 3) = 2(31) - (92)  =  -60

Have you by any chance mixed "g" with "9?"  Double check this and submit this question again, please.

Evaluate the following expression.

7 1/4 × 2² + (8 1/2 - 2) ÷ 3

36 5/6
48 1/2
31 1/6
60 1/6

Answers

Answer:

22.5

Step-by-step explanation:

7 1/4 × 2

=29

29+81/2

=69.5

69.5 - 2

=67.5

67.5÷3

=22.5

What is the probability of rolling a pair of dice and not rolling the same number?

Answers

Answer:

5/6

Step-by-step explanation:

The "first" dice can land on any number, so there are 6 choices. The "second" can not be the same number as the first one. So there are 5 choices. We multiply to get 6*5=30 ways to roll a different number. There are 6*6 total ways so the probability is 30/36 which simplifies to 5/6.

What is the slope of the line that passes through the points (-1, 2) and (-4, 3)?

Answers

Answer:

-0.5

Step-by-step explanation:

(3-2)=1

(-4-1)=-5

1÷(-5)= -0.5

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