2) Edwin A bought a total of 15 student and non-student tickets worth $223.50. The student tickets cost $12.50 each and the non-student tickets cost $18.50 each. How many of each ticket did he buy?

Answers

Answer 1

Answer:

Step-by-step explanation:

I imagine you are in the section in math that teaches about systems! We need a system here to solve this problem...meaning we have 2 unknowns and we need to write 2 equations to solve for them. The first equation will involve the NUMBER of tickets sold, while the second equation will involve the COST of the tickets. These are 2 very different things, and we have what we need to write each equation. First the number of tickets equation:

We know that the number of student tickets (s) and the number of non-student tickets (n) totaled 15 tickets. That means the numbers equation is

s + n = 15

Now onto the money. Since s is student tickets, and each student ticket cost 12.50, the expression for that is 12.5s; since n is non-student tickets and each non-student ticket cost 18.50, the expression for that is 18.5n. That is the money expression for each type of ticket, and we know that the sales of these tickets totaled 223.50; therefore, the money equation is

12.5s + 18.5n = 223.5 (notice I dropped off the 0's since we don't need them).

Go back to the first equation and solve it for either s or n. I solve is for s:

If s + n = 15, then

s = 15 - n. Sub that into the second equation in place of s now:

12.5(15 - n) + 18.5n = 223.5 and simplify a bit by distributing to get

187.5 - 12.5n + 18.5n = 223.5 and combine like terms to get

6n = 36 so

n = 6. That means that there were 6 non-student tickets sold and

s + 6 = 15 student tickets sold:

s = 15 - 6 so

s = 9


Related Questions

129,454,475,954 Which digit is in the hundred-thousands place?

Answers

Answer

129,454,475,954

Step-by-step explanation:

it is the four in bold

Answer:

4 is in the hundred-thousands place.

Explanation:

129,454,475,954

(the one that I bolded and underlined out)

A florist used 14 flowers to make a bouquet including 6 daisies what is the probability that a randomly selected flower will be a daisy

Answers

Answer:

3/7(when simplified)

Step-by-step explanation:

there are 6 daisies out of 14 flowers and so the probability would be 6/14. When simplified, the answer would be 3/7

What is the value of u?
u+40°
U-19°
U=

Answers

Answer:

u = 59

Step-by-step explanation:

The sum of the exterior angle is equal to the sum of the opposite interior angles

u+ u-19 = u+40

2u -19 = u+40

Subtract u from each side

2u-19-u = u+40-u

u-19 = 40

Add 19 to each side

u+19-19 =40+19

u = 59

Find the value of x that makes:

Answers

Answer:

correct value of x = 5

Step-by-step explanation:

[tex] \frac{ {( - 2)}^{4x + 2} }{ {( - 2)}^{2x} } = {( - 2)}^{12} \\ = \frac{ {( - 2)}^{4 \times 5 + 2} }{ { ( - 2)}^{2 \times 5 } } \\ = \frac{ {( - 2)}^{22} }{ { ( - 2)}^{10} } \\ = \frac{4194304}{1024} \\ = 4096 = 4096(i.e \: {( - 12)}^{12} = 4096) \\ [/tex]

The function h is defined by
h(x)=x²-2.
Find h(2z)

Answers

Answer:

[tex]h(x) = {x}^{2} - 2 \\ h(2z) = {(2z)}^{2} - 2 \\ = 4 {z}^{2} - 2 \\ = 2( {2z}^{2} - 1)[/tex]

PLEASE!! I JUST REALLY NEED SOME HELP RIGHT NOW!! T∆T
Using the 45o -45o -90o triangle theorem, solve this triangle.​

Answers

Answer:

Step-by-step explanation:

take 45 degree as reference angle

using sin rule

sin 45=opposite/hypotenuse

1/[tex]\sqrt{2}[/tex]=l/11[tex]\sqrt{2}[/tex] (do cross multiplication)

l[tex]\sqrt{2}[/tex]=11[tex]\sqrt{2}[/tex]

l=11[tex]\sqrt{2}[/tex]/[tex]\sqrt{2}[/tex]

l=11

A carpenter bought a piece of wood that was 6.85 meters long. Then she sawed 0.57 meters off the end. How long is the piece of wood now? meters. help plz​

Answers

Answer:

6.28meters

it is the aswer if wrong please tell me

Find x.
[tex] \frac{x}{x + 7} = \frac{16}{22} [/tex]
The equals is for proportionate I couldn't find the symbol for it.​

Answers

According to the property of proportions,

Product of means = Product of extremes

x and 22 are extremes. (x + 7) and 16 are means.

So, simply we did cross multiplication.

Step-by-step explanation:

56/3 is the answer. Refer to the attachment for the solution. :)

someone help me find what is m

Answers

Answer:

measure of angle F=    109 degrees

Step-by-step explanation:

I believe by m you are solving for angle F.  So, angle H =71 degrees. GF and HI are parallel. In order to find angle G, Take the supplementary of 71 degrees, so 180-71 = angle G =109 degrees. Because GH and FI are congruent, the angles should be same across the shape, so angle I 71 degrees. Quadrilateral has a total of 360 degrees, so, 360-71-109-71=109 degrees. In general, angke G would equal angle F because of the trapezoid properties that take place when both bases are parallel and two of the sides are congruent, the trapezoid is an isosceles trapezoid

Write (43)5 as a single power of 2​

Answers

Answer:

Inserting the squared symbol on your Android smartphone is relatively easy and straightforward. To insert the squared sign, just long-press the number 2 and it will insert the superscript ².

Step-by-step explanation:

Your house had a value of $480,000 and increased in value by 3.5%. How much is your house worth now?

Answers

Answer:

$496,800

Step-by-step explanation:

Present cost = $480,000

%increase = 3.5%

Present price of the house = 480,000 + 3.5% of 480,000

= 480,000 + 0.035 * 480,000

= 480,000 + 16,800

= $496,800

Present price of the house = $496,800

What is area? how is the mass of a body? Write its si unit.

Answers

Answer:

The total quantity of matter contained in an object is called its mass.

It is scalar quantity.

It is measured by beam balance.

Mass of the object remains constant at all the places.

We can measure mass of an object by its inertia.

SI unit of mass is ”kg”.

brainlest answer plz ..

please provide a solution its urgent

Answers

Yes lil mosey is in fact white.

Please help!
Solve for x. Round to the nearest tenth of a degree, if necessary.

Answers

Answer:

x=36°

the sine rule enables us to find missing angles and sides when given an angleand 2 known sides

The solution set of the inequality 2x – y > 2 consists of all the points ?_the line ?
O
above; y = 2x - 2
below; y = 2x - 2
above; y = -2x + 2
below; y = -2x + 2
0

Answers

Answer:

Step-by-step explanation:

Find the common difference for an arithmetic series with
a1=5 and S10 = 320.

Answers

Answer:

6

Step-by-step explanation:

Let [tex]n = a_{10}[/tex]. We know the formula for the sum of an arithmetic sequence is:

[tex]S_{n} = \frac{n(a_{1}+a_{n} )}{2}[/tex]

Where n is the number term you are finding the sum up to, a1 is the first term, and an is the nth term. We can substitute what we have:

[tex]320=\frac{10(5 + n)}{2}[/tex]

[tex]640=10(n+5)\\64=n+5\\n=59[/tex]

The formula to find the nth term of an arithmetic series is:

[tex]a_{n} = a_{1} + (n-1)d[/tex]

Where d is the common difference. Again, we can plug in what we have;

[tex]59 = 5 + 9d\\9d = 54\\d = 6[/tex]

Two angles in a triangle have measures of 25° and 55º.
What is the measure of the third angle?
A. 135
B. 100
C. 80°
D. 30°
Help please hurry

Answers

Answer:

B

Step-by-step explanation:

180 - (25 + 55) = 180 - 80 = 100°

DUE VERY SOON. PLEASE ANSWER FAST

Explain how decisions are a combination of theoretical, experimental, and subjective probability

Answers

Answer:

They help know which decision is best and help you realize. It help expirement as well. For example you are trying to see what happens after making a decision. Decisions are also well known to making good and correct choices.

Can someone please help me out with this? *with full explanation
no bots please, thank you!!

Answers

Answer:

Well if perminder = 52ft that means x=5b8

Step-by-step explanation:

Can anyone help me with this please?

Answers

Answer:

The ones selected are correct

Find the exact value of tan A in simplest radical form

Answers

Answer:

tan A = 1.8

Step-by-step explanation:

tan A = 14/√60 = 1.8

I Need Help I Don't Understand This

Finding a final amount in a word problem on exponential growth or decay

A certain forest covers an area of ^2. Suppose that each year this area decreases by 8.5%. What will the area be after 8 years?
Use the calculator provided and round your answer to the nearest square kilometer.

Answers

The kilometer with the meter and then and that will equal 8.5%

Can someone please help me?
What is the length of the side
between point A and point B?
I
15 ft A
18 ft
B.
9 ft
27 ft

Answers

Answer:

195 answer.plus minus plus minus plus minus

The yearbook has 12 pages for ads. Each page measures 6 in. By 12 in. Each ad measures 6 in. By 3 in. If all the ad space sells at ​$10 per​ ad, how much money will this raise for the​ yearbook?

Answers

Answer:

$480

Step-by-step explanation:

Each page measures 6 in. By 12 in. Each ad measures 6 in. By 3 in

based on the dimensions, there would be 4 ads per page

total ads in 12 pages = 4 x 12 = 48

total cost of ads = 48 x 10 = 480

guys whats 10x10 pls help me thank you

Answers

It's 100 ... ... ... ... ...

convert 8m 32 cm into centimeters​

Answers

Answer:

832 cm one meter us equal to 100 cm so 8 multiply 100 plus 32 is equal to 832

PLSSSS HELPP MEEEEE BRAINLIEST REWARDD

Answers

Answer:

40.) the third one

42.)the last one

Step-by-step explanation:

1. The function would increase at a faster rate
2. The quotient of two polynomials is always a polynomials

Whoever solves it correctly will get 32 points

Answers

Ur answer is c!!!!!!!

You select a marble without looking and then put it back. If you do this 12 times, what is the best prediction possible for the number of times you will pick a pink marble? there are 3 pink marbles

Answers

Answer:

6 times

Step-by-step explanation:

If there are total of 6 marbles and 3 are pink, then you will have a one half (or 50%) chance of picking a pink marble. Because you put the marble back each time, your chance of picking a pink marble remains the same every time.

So one half of 12 is 6. You are predicted to pick a pink marble 6/12 times.

I dont get this. please help

Answers

Answer:

Step-by-step explanation:

All of these are done exactly the same way so I will work out one of them for you, and you can follow my example to get the answers to the rest of them. I will do #5. The formula for this is

7(7 + x) = 8(8 + 13) and then solve the equation to find x:

49 + 7x = 168 and

7x = 119 so

x = 17.

Follow that pattern for each of your problems and you should be fine.

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