The school that Michael goes to is selling tickets to a dance. On the first day of ticket sales the school sold 3 staff tickets and 1 student ticket for a total of $38. The school took in $52 on the second day by selling 3 staff tickets and 2 student tickets. Find the price of a staff ticket and the price of a student ticket.

Answers

Answer 1

The price of a staff ticket and the price of a student ticket is $8 and $14

Given:

Day 1:

Number of staff tickets sold = 3

Number of students tickets sold = 1

Total revenue day 1 = $38

Day 2:

Number of staff tickets sold = 3

Number of students tickets sold = 2

Total revenue day 2 = $52

let

cost of staff tickets = x

cost of students tickets = y

The equation:

3x + y = 38 (1)

3x + y = 38 (1)3x + 2y = 52 (2)

subtract (1) from (2)

2y - y = 52 - 38

y = 14

substitute y = 14 into (1)

3x + y = 38 (1)

3x + 14 = 38

3x = 38 - 14

3x = 24

x = 24/3

x = 8

Therefore,

cost of staff tickets = x

= $8

cost of students tickets = y

= $14

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Related Questions

Prove algebraically that the straight line with equation x = 2y + 5 is a tangent to the circle with equation x² + y² = 5.

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The answer will be 15 because of the way it looks

Answer:

15

Step-by-step explanation:

HELP ME RN PLEASE!!!!!!!!!!!!!!!!!!!!!!

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Answer:

got ub the naswers is 5x+y==6

Step-by-step explanation:

Use substitution
15x - 5(3x - 7) = 14
15x - 15x - 7 = 14
-7 = 14, cannot be

No solution

On the accompanying grid, draw and label quadrilateral ABCD with points A(1,2), B(6,1), C(7,6), and D(3,7). On the same set of axes, plot and label quadrilateral A′B′C ′D′, the reflection of quadrilateral ABCD in the y-axis. Determine the area, in square units, of quadrilateral A′B′C′D′.

Answers

Answer: Refer to figure 1 for the diagram needed.

A ' = (-1, 2)

B ' = (-6, 1)

C ' = (-7, 6)

D ' = (-3, 7)

Area = 24 square units

============================================================

Explanation:

Start by drawing an xy axis. Plot the given points A,B,C,D on this grid.

To reflect any given point over the y axis, we apply this rule

[tex](x,y) \to (-x,y)[/tex]

which means we change the sign of the x coordinate, but keep the y coordinate the same. For example, a point like A(1,2) moves to A ' (-1,2). The other points are handled in a similar fashion.

After all of the points have been reflected, you'll get what is shown in figure 1.

------------------

To find the area of quadrilateral ABCD, we can form a bounding box as small as possible around the quadrilateral. Refer to figure 2.

The area of rectangle FEHG is 6*6 = 36 square units

Then we subtract off the areas of these four outer triangles

Triangle AED = 5*2/2 = 5Triangle AFB = 1*5/2 = 2.5Triangle BCG = 1*5/2 = 2.5Triangle CDH = 1*4/2 = 2

Meaning we'll end up with 36-5-2.5-2.5-2 = 24 as the area of quadrilateral ABCD. Because a reflection is a mirror copy, quadrilateral A'B'C'D' will have the same area as ABCD.

Drag the expressions to order them top to bottom from least to greatest.

Answers

Answer:

|-5[tex]\frac{3}{7}[/tex]|

|5[tex]\frac{1}{7}[/tex]|

|-4[tex]\frac{6}{7}[/tex]|

|-4[tex]\frac{3}{7}[/tex]|

|4[tex]\frac{2}{7}[/tex]|

Step-by-step explanation:

absolute value is how far the the number is away from zero, it does not matter if it is negative or positive

jamelia paid $8.40 for sliced turkey the amount she bought was 2.40 lb how much did jamelia pay per pound for the sliced turkey​

Answers

The answer should be $3.50.
This is because $8.40 / 2.40lb = $3.50

math question please help meeee

Answers

Answer:  what the math question is

Step-by-step explanation:

Answer:

3/4

Step-by-step explanation:

7 plus 5 (painters plus photographers) equals 12. The remaining (4) adds to 16. 12/16 can be simplified to 3/4

Hope it helps

Would appreciate a brainliest

3x4y=-2
9x-10y=38
elimnation method

Answers

Answer:

x = 2

y = -2

Step-by-step explanation:

N.B. Assuming the first equation is actually 3x + 4y = -2

The elimination method is an incredibly useful tool used to save large amounts of time when working with small systems of equations.

First, set one variable in the top equation to have an equal coefficient as that same variable in the bottom equation.

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

Then, you are left with this.  Simply subtract the equations.

9x + 12y = -6

9x - 10y = 38

0  + 22y = -44

Then, simply solve

y = -2

9x + 20 = 38

9x = 18

x = 2

Hope it helps :) and let me know if you want me to elaborate.

Mr and Mrs Smith buy tickets for themselves and 4 children
The cost of an adult ticket is £6 more than the child ticket
The total cost of the 6 tickets are £40.50
What is the cost of an adult ticket?

Answers

Answer=

$10.75 is the cost of an adult ticket

Answer:

£10.75

Step-by-step explanation:

6 tickets=£40.50

cost of adult=£6 more than a child's

let's form an equation!

x is the cost of children tickets and since we have 4 of them it leaves us with 4x. And an adult ticket is £6 more than a child's, so that leaves us with 6+x. And since we have 2 of them we get 2(6+x). So with this info, we can make an equation and solve it to find x:

2(6+x)+4x=40.50

12+2x+4x=40.50

12+6x=40.50

6x=28.50

x=4.75=the cost of a child ticket

adult ticket =£10.75

It costs $11 for 15 granola bars.

What is the unit price, in dollars per granola bar, rounded to the nearest hundredth?

Answers

Answer:

0.73

Step-by-step explanation:

How would you best describe the angle pair

Answers

The angled pair would be exterior angle

8. You have been asked to repaint the lateral surface area of cone-shaped pylons used for soccer drills. If they have a radius of 5" and a height of 12", calculate the slant height and lateral surface area to be painted to the nearest square inch.??

Answers

Answer:

See answer below.

Step-by-step explanation:

LA = π rl

1st find l    

The radius is 5" and the height is 12"  l = ?

  h and the r is the two legs in the right triangle when drawn in a cone.

Use a²  + b² = c²     ⇔ h² + r² = l²

                                    12² + 5²  = l²

                                   144 + 25 = l²

                                     169 = l²

                                    [tex]\sqrt{169} = l[/tex]

                                        13 = l

Formula for LA = π r l

                  LA = 3.14 × 5 ×13  or with a calculator   LA = π × 5 × 13

                   LA = 204.1  sq.in                                   LA  = 204.2035225 sq. in

I use 3.14 = for π  but you know what the teacher uses in class.

Plzzz help me plzzzzzz

Answers

Answer:

Circumference of a circle = pi * diameter

[tex]219.8=3.14*d[/tex]

[tex]d=\frac{219.8}{3.14}[/tex]

[tex]d=70[/tex]

Radius = half of diameter

[tex]r=\frac{1}{2} d[/tex]

[tex]r=\frac{1}{2}*70[/tex]

[tex]r=35[/tex]

Area of circle = [tex]\pi r^2[/tex], where r is the radius:

[tex]a=3.14*35^2[/tex]

[tex]a=3846.5[/tex]

If they ran around the track 3 times, they would cover the circumference three times.

[tex]219.8*3=659.4[/tex]

Convert to centimetres:

[tex]659.4*100=65940[/tex]

5/6 divided by 2 =?
Need answer soon!!

Answers

Answer:

0.416666667

Step-by-step explanation:

(winks and runs off)

Answer:

5/12

Step-by-step explanation:

5/6÷2

5/6÷2/1

5/6•1/2

5/12

solve the equation −4(m+6)=−8

Answers

.,........................

Plz helpp
23% of the mix was cadmium. The total weight is 3000 grams. What is the weight of the other constituents?

Answers

Answer:

690

Step-by-step explanation:

23% of 3000 is 690 (love your username btw; 2️⃣ Set

2÷2563783939282727262626266262534434262788900

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Answer:

128189196964136363133131267217131394450

Step-by-step explanation:

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Which equation has the same solution as 7x−14=21?

Answers

Answer:

2x=10

Step-by-step explanation:

7x-14=21

x=5

2x=10 (divide both sides by two)

2x/2  10/2

x=5

Yky. we'd to provide the other options but to do this you need to +14 to both side. 21+14 then -14+14 cancel. so it's now

7x=35 then you divide 7 in both sides 7 cancels 35/7 =5

x=5

David was thinking of a number. David doubles it, then adds 3 to get an answer of 81. 6. What was the original number?.

Answers

Answer:

The answer is 39.3

Step-by-step explanation:

81.6 - 3 = 78.6

78.6 ÷ 2 = 39.3

g(x)=(x-1)^3-1 find the inverse of this function

Answers

Answer:

G^−1(x)=3√x+1+1      

Step-by-step explanation:

Answer:

[tex]g^{-1}(x)[/tex]= [tex]\sqrt[3]{x+1}[/tex]+1

Step-by-step explanation:

To find the inverse, swap x and y.

g(x)=(x-1)^3-1

-> x=(y-1)^3-1

Solve the equation in terms of y.

x=(y-1)^3-1

x+1=(y-1)^3

[tex]\sqrt[3]{x+1}[/tex]=y-1

[tex]\sqrt[3]{x+1}[/tex]+1=y

Becky's medical bill is $1374. She has a $150 deductible, plus 85% medical insurance
How much will Becky pay?
Helpppp

Answers

Answer:

$333.60

Let me know if you have any questions

PLZZZ HELP ASAP I NEED IT FAST!​

Answers

Answer:

5.4

Step-by-step explanation:

Step 1: Take any two side lengths from the quadrilaterals (one from ABCD and one from PQRS)

For this case, I'm going to take 4 and 7.2

Step 2: Divide the length you took from PQRS by the length you took from ABCD.

[tex]\frac{7.2}{4}[/tex] [tex]1.8[/tex]  (1.8 is the scale factor (SF))

Step 3: Since CD and RS and corresponding sides, multiply 3 by 1.8

[tex]3 * 1.8[/tex] [tex]5.4[/tex]

Therefore, x = 5.4.

Answer:

5.4

Step-by-step explanation:

Look at photo for explanation

Solve for the unknown side of each right triangle

Answers

x is 9.1 accordingly to the phytagores therom

What is the final amount if 2024 is increased by 17% followed by a 15% decrease? Give your answer rounded to 2 DP.

Answers

Answer:

2059.20

Step-by-step explanation:

2024 increased by 17% is

2024 * 1.17 = 2368.08

2368.08 reduced by 15% is

2368.08 ÷ 1.15 = 2059.20

[tex]\sqrt{5}+\sqrt{5}=?[/tex]

Answers

[tex]\sqrt 5 + \sqrt 5 \\\\=\sqrt 5(1+1) \\\\= 2 \sqrt 5[/tex]

I need help with the whole problem

Answers

X= 30

2(30)=60
60+30=90
Right angles = 90 degrees :)

Use the incomplete reaction to complete the activity. Ba(ClO3)2 → ____ + 3O2 In one or two sentences, identify the type of reaction that is occurring and identify the other product. Based on the subscripts of the elements in the other product and the fact that chlorine has seven valence electrons, determine the number of electrons in barium’s (Ba) outer shell.

Answers

The missing product of the reaction is BaCl2 and we can see that barium has two electrons on its outermost shell.

The complete reaction is  Ba(ClO3)2 → BaCl2 +  3O2. From the reaction equation, we can see that the missing product is BaCl2. The compound is composed of one barium atom and two chlorine atoms.

Since chlorine has seven valence electrons, it means that it requires two electrons from barium to complete its octet in BaCl2. This now means that barium has two electrons in its outermost shell.

Learn more: https://brainly.com/question/2192784

OXIDATION UNIT TEST

1. Which statement best explains why magnesium and chlorine combine in a 1:2 ratio?

A. Magnesium has two valence electrons, and chlorine can accept one electron in its outer shell

2. Hydrogen and nitrogen combine to form ammonia. When nitrogen and hydrogen bond, nitrogen pulls the electrons from hydrogen toward itself. Which statement about the reactants is correct?

C. Hydrogen is oxidized, and nitrogen is reduced.

3. C3H8 + 5O2 → 3CO2 + 4H2O + energy

Which type of reaction is shown?

C. combustion

4. Which phrase best defines a redox reaction?

D. a reaction in which electrons are transferred between different atoms

5. Which statement describes the process of oxidation?

D. Oxidation results in a loss of electrons, so the oxidation number increases.

6. Which chemical equation represents a redox reaction?

D. Fe2O3(s) + 2Al(s) → Al2O3(s) + 2Fe(l)

7. Which statement correctly describes the oxidation number of the manganese atom (Mn) in MnI2 and MnO2?

A. Manganese has an oxidation number of +2 in MnI2 and +4 in MnO2.

8. Br2(l) + 2NaI(aq) → I2(s) + 2NaBr(aq)

Which elements are oxidized and reduced in the reaction?

D. Iodine (I) is oxidized, and bromine (Br) is reduced.

9. Which action occurs at an electrode of a galvanic cell?

D. electron transfer

10. Which statement best compares a battery and a galvanic cell?

A. A battery’s source of power is a galvanic cell in which a redox reaction produces electrical energy.

11. Zn + 2H+ → Zn2+ + H2

2Al + 3Cu2+ → 2Al3+ + 3Cu

Which elements are oxidized?

A. zinc (Zn) and aluminum (Al)

12. 2Cr(s) + 3Cu2+(aq) → 2Cr3+(aq) + 3Cu(s)

Which half reaction occurs at the cathode?

B. 3Cu2+(aq) + 6e– → 3Cu(s)

13. Written

14. Written

15. Written

I hope this helps!

b/a if a=8 and b=24.

Answers

Answer:

I wilm clear you

Step-by-step explanation:

Given,

If a=8

b=24

Now according to question,

or, b/a

or, 24/8

or, 3

24/8= 3 because 8x3=24

The graph shows which inequality? The vertex is (-4, -3)

Answers

Refer to the attachments.

A line is drawn so that it passes through the points (-3, -1) and (4, 2).

a. What is the slope of the line?

b. Using the point (4, 2) and the slope found above, write the equation of the line in point-slope form.

Answers

Answer:

y - 2 3/7 (x-4)

Step-by-step explanation:

A) To find slope, use the equation:where  and  are the x and y values of one coordinate point  , and  and  are the x and y values of another coordinate point . Since we are given two coordinate points, (-3,-1) and (4,2), that means we can find the slope using the slope equation.  

Let's choose (4, 2) as your  point and (-3, -1) as your  point, but you can switch those if you want! That makes  and x^1 = -3, y1 = -1 . Plug these values into the slope equation:

The slope of the line is 3/7.

B) Remember that the general equation for point-slope form is, where m = the slope,  = the x value of a coordinate point on the line, and  = the y value of the same coordinate point on the line.  

You are given (4, 2) as one of the coordinate points. That means  = 4 and  = 2. We found the slope, m =  in part A. Now plug these values into the general equation for point-slope form to find your point-slope form equation:

Your point-slope form equation is y - 2 3/7 (x-4).

Answer:

a. 3/7 b. y=3/7x+2/7

Step-by-step explanation:

(-1-2)/(-3-4)=3/7

slope is 3/7

apply point for answer

2=3/7(4)+n

n=2/7

apply

y=3/7x+2/7

.Question.[Mathematics]

5! + 5! =​

Answers

☆Answer :

5! + 5! = ?

= 5 × (5 - 1) × (5 - 2) × (5 - 3) × (5 - 4) × 2

= 5 × 4 × 3 × 2 × 1 × 2

= 120 × 2

= 240

[tex] \: \: \: \: \: \: [/tex]

[tex] = 120 \times x![/tex]

step by step explanation

[tex]5! \times 5![/tex]

use n! =n ×( n - 1 ) × ...× 2 × 1 to calculate the factorial

[tex]5 \times 4 \times 3 \times 2 \times 1 \times x![/tex]

calculate the product

[tex] = 120 \times x![/tex]

hope it helps

[tex] \: \: \: \: \: \: [/tex]

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