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

The young mathematician is presented with this problem: (13 + 7) x (5 - 3) / 4 x (1 + 1) = Which operation would the young mathematician do first?

The division
The subtraction
Those inside parentheses
The multiplication

Answers

Those inside the parentheses. Rember pemdas or Parentheses Exponets Multiple Divide Add Subtract in that order from left to right

A pyramid with a slant height 4.6 in whose triangular base measures 8 in on each side.Each altitude of the base measures of 6.9 in

Answers

Answer:

82.8 in²

Step-by-step explanation:

The surface area a triangular based pyramid :

Base area + 1/2(perimeter * slant height)

Base = 8 inches ; Slant height = 4.6 inches ; altitude of base measure = 6.9 inches

Base area of triangle :

1/2 * base * height

1/2 * 8 * 6.9

4 * 6.9

Base area = 27.6 in²

The perimeter, P = sum of sides ; (s1 + s2 + s3

P = 8 + 8 + 8 = 24 in

Hence,

Surface area = 27.6 in² + 1/2(24*4.6)

Surface area = 27.6 in² + (12 * 4.6) in²

Surface area = (27.6 + 55.2)

Surface area = 82.8 in²

please help! I need to solve kt algebraically and if you can show your work/explain how you got the answer that would help a ton because I need that to!

Answers

Step-by-step

=> 900=-100x+300

=> -100x+300=900

=> -100x=900–300

=> -100x=600 divide both side by -100

=> x=-6

You start with  900= -100x + 300

you want to get x by itself on a side of the equation

you can do this by adding -100x to both sides of the equation

this would make it look like 900 + 100x = -100x + 100x + 300

if you simplify, you get 900 + 100x = 300

then subtract 900 on both sides to get x by itself

you will end up with 100x = -600

you divide both sides by 100 to get x by itself and you will end up with

x = -6

if you have any questions ask me and ill answer :)

Which of the following is the equation for a circle with a radius of r and center at (h, v)?

Answers

Answer:

the correct answer is option A

Answer: Choice D

Your book may use the template [tex](x-h)^2 + (y-k)^2 = r^2[/tex], but it's the same idea. The center here is (h,k) and radius is r.

If x= -2, then what’s

4+x
——
3x

Answers

Answer:

a). 2    b). -6

Step-by-step explanation:

4+x

4 + (-2)

= 2

3x

= 3(-2)

= - 6

Answer:

Exact Form: [tex]-\frac{1}{3}[/tex]

Decimal Form: -0.333...

The product of four and a number, decreased by seven

Answers

Answer:

32

Step-by-step explanation:

As per what is given

- the product of 4 and a number decreased by 7 (4 times that number let us call it x, minus 7)

- equals 100, the equation formed equals 100

Form an equation;

4(x - 7) = 100

Solve using inverse operations;

4(x - 7) = 100

  /4        /4

x - 7 = 25

  +7     +7

x = 32

if four times the sum of a number and three is six less than twice the number what is the number

Answers

The number is -9

Explanation:

Let the number be x

4(x + 3) = 2x - 6
4x + 12 = 2x - 6
4x - 2x = - 6 - 12
2x = -18
x = -9

Gravel is being dumped from a conveyor belt at a rate of 50 cubic feet per minute. It forms a pile in the shape of a right circular cone whose base diameter and height are always equal. How fast is the height of the pile increasing when the pile is 24 feet high? Recall that the volume of a right circular cone with height h and radius of the base r is given by V = 1 3 π r 2 h

Answers

Answer:

Step-by-step explanation:

can someone PLEASE HELP ME?? i have to redo some answers on my test and i have no clue what to do!
i would really appreciate your help!

A robin was sitting 9 feet from the base of a tree. The robin flew 41 feet to the top of the tree. The tree is ___ feet tall.

Hint: Draw and label a diagram.

Answers

Answer:

41 ft

Step-by-step explanation:

Since that's the height the Robin flew to.

Answer:

its either 41 feet or 50 feet or neither cause im dum.b

Step-by-step explanation:

41 feet explanation = the bird was on the ground and was 9 feet away from the tree so the bird moved 9 feet ON THE GROUND and then flew up 41 feet

50 feet explanation = the bird was on a branch 9 feet up from the tree base and flew the rest of the 41 feet

FIND ANGLE ADB
the number is 116 on top

Answers

Answer:

[tex]m\angle ADB=58^{\circ}[/tex]

Step-by-step explanation:

For an angle with a point on the circle, the measure of that angle is equal to half the measure of the arc it forms. Since angle ADB forms an arc AB that measures [tex]116^{\circ}[/tex], the measure of angle ADB equals [tex]\frac{116}{2}=\boxed{58^{\circ}}[/tex]

Step-by-step explanation:

ADB=116/2(inscribed angle is half of it's arc)

58°

stay safe healthy and happy...

PLEASE ANSWER QUICKLY

Answers

C is the answer ! Hope it helps

Can someone help me please

Answers

Answer:

its the 1st answer choice/A

Step-by-step explanation:

there is 10 people who are 25-29, and 5 people 20-24, so 10+5=15 so 15 people are younger than 30

Is this a Pythagorean triplet ?
12,5,13​

Answers

Yes, because 12^2 + 5^2 = 13^2

HELP ASAP I'LL GIVE BRAINLIEST ITS TIMED

Answers

Your answer is 158 hope this helps.

Answer

52.6666666667

Step-by-step explanation:

look it up

I would really appreciate answer i only have 30 more minutes please :(

Answers

Answer:

Q4) 23

Q5) 18

Q6) 15

Step-by-step explanation:

Q6) In the given Stem and Leaf Plot, we have, the average weights as follows;

0.1, 0.1, 0.1, 0.2, 0.2, 0.3, 0.4, 0.4, 0.5, 1, 1, 1.2, 1.3, 1.7, 2.2

By counting the number of data given above, n = 15

Q5) The given data in the stem and leaf diagram are;

7, 9, 14, 15, 16, 18, 18, 21, 23, 30

The median of the 10 data points is the (10 + 1)/2 or the 5.5th data point

The fifth data point = 18

The sixth dat point = 18,

Therefore, the median, which is the 5.5th data point = 18 + (18 - 18)/2 = 18

The median = 18

Q4) The given data points are;

7, 9, 14, 15, 16, 18, 18, 21, 23, 30

The range = The largest data point value - The least data point value

Therefore;

The range = 30 - 7 = 23

The range = 23

Nine chips numbered 1 through 9 are placed in a box and mixed. Margie selected one chip from the box. What is the probability that Margie selected a chip that is a multiple of three?

Answers

Answer: [tex]\dfrac{1}{3}[/tex]

Step-by-step explanation:

Given

There are 9 chips numbered 1 to 9 placed in a box

Margie selected one chip from the box

If the chip is multiple of 3 then the chip can be 3, 6, or 9

So, the probability associated with this is

[tex]\Rightarrow P=\dfrac{\text{favorable}}{\text{Total}}\\\\\Rightarrow P=\dfrac{3}{9}\\\\\Rightarrow P=\dfrac{1}{3}[/tex]

What are the solutions to the following quadratic equation? *
1 point
Captionless Image
x = –8 and x = –7
x = 7 and x = 8
x = –7 and x = –1

Answers

Answer:

x=123456789101112131415

Step-by-step explanation:

Try using guatmath is a really good app

Clare's volleyball game ended at 6:30 pm. It took 2 hours and 48 minutes to play the game. What time did Clare's volleyball game begin?

what is 6:30 subtracted by 2 hours and 48 minutes?​

Answers

Answer:

3:42

Step-by-step explanation:

help help help please​

Answers

Answer:

A

Step-by-step explanation:

the line is going from left to right ot has a negative gradient

as it goes through (0,0) euqally it is y = -x

Find one value of xxx that is a solution to the equation:
(2x+3)^2-6x-9=0(2x+3)
2
−6x−9=0left parenthesis, 2, x, plus, 3, right parenthesis, squared, minus, 6, x, minus, 9, equals, 0
x=x=x, equals

Answers

Answer:

-3/2

Step-by-step explanation:

Given the funtion

(2x+3)² - 6x+9 = 0

(2x+3)² = 6x + 9

Expand

4x²+12x+9 = 6x + 9

4x²+12x - 6x = 0

4x²+6x = 0

4x² = -6x

4x = -6

x = -6/4

x = -3/2

Hence the value of x is -3/2

please help important I need now​

Answers

I think it’s 14 centimetres so option B

3+3+4+4= 14
6+6+2+2=14
12+12+1+1=26

Answer:

14 cm

The correct answer is B

Subtract 7 from the product 3 times f

Answers

Answer:

3f-7

Step-by-step explanation:

Please answer the pic below for Brainliest and 5 stars (If correct)

Answers

                                        C. 17 mm and 53.5 mm

Area of hexagon please help

Answers

[tex] \frac{ 3\sqrt{3} }{2} \times a {}^{2} \\ \\ \frac{ \sqrt{27} }{2} \times 7 {}^{2} \\ \\ \frac{ \sqrt{27} }{2} \times 49 \\ \\ = 127.31cm {}^{2} [/tex]

So Option D=127.3cm²

Hope This Helps You

Please help ASAP I need helppppoñ

Answers

answer is the 3rd one here’s the working

What is 4x3x4x9 squared

Answers

Answer:

186,624 I think

Step-by-step explanation:

4*3=12

12*4=48

48*9=432

[tex]432^{2}[/tex]= 186,624!

Help me pls :/
15 points ig

Answers

Answer:

D. 17/7

Step-by-step explanation:

Let's make 2 3/7 into an improper fraction. We first multiply the 2 to 7 and then add the 3. So 2 x 7 = 14, 14 + 3 = 17. The denominator always stays the same. Therefore our answer is 17/7

Answer:

D:17/7

Step-by-step explanation:

2×3/7

=(7×2+3)/7

=17/7

Marking brainliest

Please help

Answers

Answer:

sin = 2/3

cos = sqrt5/3

tan = 2/sqrt5

What is x^2-24x+c
As a perfect square need this answer ASAP

Answers

(x-12)(x-12) = x^2 - 24x + 144

John needs 6 cups of ice cream to make 4 servings of milkshake. How many servings can John make using 3 gallons of ice cream?

Answers

Answer:

24

Step-by-step explanation:

-------- 24 --------

Hope that helps

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