A family bought a total of 13 tickets to a magic show, some adult and some child. The family paid a total of $85 Adult tickets are $15 each and tickets are $5 each. Let X represent adult tickets. Let y represent child tickets Write an equation to model the total amount of money that they spent.

Answers

Answer 1

Answer:

250 $3 tickets and 100 $2 tickets were sold.

Step-by-step explanation:

A family bought a total of 13 tickets to a magic show, some adult and some child. The family paid a total of $85 Adult tickets are $15 each and tickets are $5 each. Let X represent adult tickets. Let y represent child tickets Write an equation to model the total amount of money that they spent.The cost of tickets for a play is $3.00 for adults and $2.00 for children. 350 tickets were sold and $950 was collected. How many tickets of each type were sold?

Let x = number of $3 tickets

Let y = number of $2 tickets

Total = quantity × value

quantityvaluetotal$3 ticketsx33x$2 ticketsy22ytogether350950

Step 3: Add down each column to get the equations

x + y = 350                    (equation 1)

3x + 2y = 950                (equation 2)

Use Substitution Method

Isolate variable x in equation 1

x = 350 – y                     (equation 3)

Substitute equation 3 into equation 2

3(350 – y) + 2y = 950

1050 – 3y + 2y = 950

3y – 2y = 1050 – 950

y = 100

Substitute y = 100 into equation 1

x + 100 = 350

x = 250

Answer: 250 $3 tickets and 100 $2 tickets were sold.


Related Questions

Hey can anyone help please and thank you !

Answers

Answer:

x = 2

Step-by-step explanation:

Answer:

X=2

Step-by-step explanation:

9x+4=3x+16

9x-3x=6x

6x+4=16

16-4=12

12/6=2

Last year there were 249 pies baked for the bake sale. This year, there were c pies baked. Using c, write an expression for the total number of pies baked in the two years

Answers

Answer:

249 + c

Step-by-step explanation:

The total of the 2 years is 249 from last year plus c from this year.

249 + c

Find the slope of the line containing the pair of points.
(2,0) and (0, -4)
The slope of the line is
(Type an integer or a simplified fraction.)

Answers

-4/-2 so 2 is the slope

HELP PLEASE ILL MARK AS BRAINLIEST

Answers

Answer:

hey where I sent I solved it in my notebook

Tonya saved $564 in one year. If she saved the same amount each month, how much did Tonya save in two months?

Answers

In two months Tonya saved $94

If x=-2 and y= √12, then 2(3x³+2y²)=

Answers

Answer:

2%283x%5E3+%2B+2y%5E2%29

2%283%28-2%29%5E3+%2B+2%28sqrt%2812%29%29%5E2%29

2%283%28-8%29+%2B+2%2812%29%29

2%28-24+%2B+24%29

2%280%29

0

So 2%283x%5E3+%2B+2y%5E2%29=0 when x=-2 and y=sqrt%2812%29

Answer:

0

Step-by-step explanation:

The solution is in the attached file

Please help >.< (image below)

Answers

Answer:

blue and red :>

Step-by-step explanation:

Evaluate and match each expression on the left to its value on the right, when x = 9 and y = 6.
12 - x
x + 3y
4y - 10
1/3xy

Answers

Answer:

12 - x= 3

x + 3y = 27

4y + 10 = 34

1/3xy = 18

Step-by-step explanation:

evaluating where x = 9 and y = 6

12 - x

12 - 9 = 3

x + 3y

9 + 3(6) = 9 + 18 = 27

4y + 10

4(6) + 10 = 24 + 10 = 34

1/3xy

1/3(9* 6 ) = 54 / 3 = 18

The values of the expressions are given below:-

12 - x= 3

x + 3y = 27

4y + 10 = 34

1/3xy = 18

What is an expression?

Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

Evaluating where x = 9 and y = 6

1) 12 - x

12 - 9 = 3

2) x + 3y

9 + 3(6) = 9 + 18 = 27

3) 4y + 10

4(6) + 10 = 24 + 10 = 34

4) 1/3xy

1/3(9* 6 ) = 54 / 3 = 18

Therefore, the values of the different expressions are solved above.

To know more about an expression follow

https://brainly.com/question/723406

#SPJ2

maya placed a 25-foot ladder is 6 feet from the wall, how far up the wall is the top of the ladder

Answers

i think it could be 19ft

PLEASE HELP
will mark brainliest!!!

Answers

Answer:

f(x) = 8x

Step-by-step explanation:

The linear equation given in the form of a table is shown as:

[tex]\left[\begin{array}{ccc}x&f(x)\\3&24\\4&32\\5&40\\6&48\end{array}\right][/tex]

Because the equation is linear, in order to find the equation written in slope-intercept form, divide the rise (f(x)) by the run (x):

24 ÷ 3 = 8

32 ÷ 4 = 8

40 ÷ 5 = 8

48 ÷ 6 = 8

Because the quotient for each relation is 8, the linear equation can be written as f(x) = 8x.

l really need help plz i will mark brainliest plz help​

Answers

[tex]\\ \sf\longmapsto x+5+x-5=80[/tex]

[tex]\\ \sf\longmapsto 2x=80[/tex]

[tex]\\ \sf\longmapsto x=40[/tex]

Angles are

180-80=100°x+5=40+5=45°x-5=40-5=35°

No sean was wrong

Answer:

Sean is not correct. The answers are 100°, 35° and 45°.

Step-by-step explanation:

In my working, I labeled the part without a variable as a°.

Step 1: a° + 80° = 180° ( angles on a straight line sum up to 180° )

Step 2: a° = 180° - 80°. This is because 80 moves from the left side of the equation to the right side of the equation which affects it's sign( from + to -)

Step 3: a° = 100° . Subtract 80 from 180.

So we know that 100 is correct. Let's find the remaining angles.

Step 4: a° + ( x - 5 )° + ( x + 5 )° = 180° ( angles in a triangle sum up to 180°)

Step 5: 100° + x - 5° + x + 5° = 180°. Fix in the values of each variable correctly. Here we only know the value of variable a.

Step 6: (100° - 5° + 5°) + (x + x) = 180°. Group like terms to make calculations easier.

Step 7: 100° + 2x = 180°. -5+5 is the same as 5-5 which would give you 0. 0 + 100° is 100°.

Step 8: 2x = 180° - 100°. Move like terms to one side.

Step 9: 2x= 80°. Subtract 100° from 180° to get 80°

Step 10: 2x/2 = 80°/ 2. Divide both sides by 2.

Step 11: x= 40°. But this isn't the final answer. This is just the answer for all the x you see in the diagram. So fix in the values correctly.

Step 12: ( x-5° ). State it for your teacher to know which question you are given an answer to. From our calculations, we know that x = 40°.

Step 13: (40° - 5°)

Step 14: ( 35°). 40 minus 5 is 35.

Step 15: 35°. multiply the figure in the bracket by one. We can't leave our answer in the bracket.

Step 16: (x + 5). Using the same knowledge, fix in the values and do as the operation sign says.

Step 17: ( 40° + 5 °)

Step 18: (45°)

Step 19: 45 °

Step 20: Sean is not right because the angles in the triangle are 100°, 35° and 40°.

The amount Shari earns at her job is represented by the equation below. When r is her hourly rate and x is her number of hours she works in a week and she earns in dollars that week. If she earns $281.25 for working 25 hours in a week, what is her hourly rate?

Answers

Answer:

Shari's hourly rate is $11.25

Step-by-step explanation:

$281.25/x=r

= $281.25/25=r

= $11.25

Evaluate. 4^3 x 4^7 (4^2)^6

Answers

The answer is 4^22
Hope it helps

Hiking trail is 9 tenths mile long. There are 7 markers evenly posted along the trail to direct hikers. This results in 6 spaces of the same length between the markers. How far apart are the markers?

Answers

Answer:

0.1286 miles

Step-by-step explanation:

.9/7=.1286 [rounded]

Please show all your work! Tysm if u do :-)
I will give brainilest!

Answers

Answer:

3 2/3= 11/3

Step-by-step explanation:

3x3/3=9/3+ 2/3=11/3

whats the smallest natural number that has exactly 6 factors and isn't divisible by 2,3 or both

Answers

Answer:

- 25

Step-by-step explanation:

London is standing in a stadium and has the option of running up a staircase or down a staircase for exercise. The function f(x)=\frac{1}{25}\big(\left|6x\right|+4x\big)f(x)= 25 1 ​ (∣6x∣+4x) will determine how many calories London will burn if she runs up xx steps. Use a negative value for xx if she runs down the stairs. Find and interpret the given function values and determine an appropriate domain for the function.

Answers

The domain of a function is the set of input values, the function can take.

The domain of the function is: [tex]\mathbf{(-\infty,\infty)}[/tex]

The function is given as:

[tex]\mathbf{f(x) = \frac{1}{25}\big(\left|6x\right|+4x\big)}[/tex]

The above function represents the number of steps she runs or up down from her current position.

Because she can move in either directions (i.e. up or down), then it means that, the domain of the function is: [tex]\mathbf{(-\infty,\infty)}[/tex]

Read more about domain at:

https://brainly.com/question/4767962

Simplify these expressions a) 5x +3x + 2y + 4y b) 6x - 2x + 8y - 6y​

Answers

Answer:

[tex]a) \: 5x + 3x + 2y + 4y \\ = 8x + 6y[/tex]

[tex]b) \: 6x - 2x + 8y - 6y \\ = 4x + 2y[/tex]

I hope I helped you^_^

6*x= 18
Pls answer I will give brainliest

Answers

Answer:

[tex]x=3[/tex]

Step-by-step explanation:

[tex]6x=18~(Given)\\\\\frac{6x}{6}=\frac{18}{6}~(Divide~6~on~both~sides)\\\\x=3~(Simplify)[/tex]

Answer:

If the question is 6x = 18 meaning 6 multiplied by X is the same as 18, then the answer is 2

If the question is 6 to the power of X is the same as 18, the answer is 1.61314719

So I think your question is the first one lol

Step-by-step explanation:

6 multiplied by what number is 18?

6 multiplied by 2 is 18

So X must equal 2

I hope this helped! Brainliest if it did? No pressure!

have a great day! :D

Simplify.
Square root of - 24 (imaginary numbers)

Answers

Answer:

[tex]2*\sqrt{-(2*3)}[/tex]

Roberta makes $9 an hour plus a 12.5% commission selling jewelry. How much does she
earn on an 8 hour shift in which she sells $380 worth of jewelry?

Answers

Answer:

404.5 dollars

Step-by-step explanation:

8x9+(0.875x380)=404.5

Maintaining the chlorine balance in the pool prevents bacteria from growing in the water. The basic
balance of chlorine to water is a concentration of 3 mg/Liter ( 3PPM).
John has a pool 16 meters long, 5 meters wide and 2.4 meters deep. How much chlorine does John
need to pour into the pool?

Answers

Answer:

Step-by-step explanation:

The volume of the pool:

16 * 5 * 2.4 = 192

1 liter = 0.001 cubic meters

There are 192 cubic meters in the pool.

Therefore, John needs to pour 0.192 liters of chlorine into the pool.

Hope this helped!

Geometry, Unit 2, Lesson 6)
Triangles ACD and BCD are isosceles. Angle DBC has a measure of 84 degrees and angle
BDA has a measure of 24 degrees. Find the measure of angle BAC.
ADAC and BDBC
A
D
+
B
C
Type the answer in the box below.
Angle BAC has a measure of
degrees

Answers

Answer:I think the answer is 18 degrees.

Step-by-step explanation:in the picture.

HELP ME OUT PLEASE

What is the slope of this line?​

Answers

Answer:

-3/4 I think sorry if i'm wrong i can't see the rest of the graph to make sure it's totally correct.

Step-by-step explanation:

QUESTION 2.1 POINT
If the probability that a randomly chosen college student takes statistics is 0.44, then what is the probability that a randomly
chosen college student does not take statistics? Give your answer as a decimal.
Provide your answer below:
P FEEDBACK
Content attribution

Answers

Answer: 99.56%

Step-by-step explanation:

Well assuming we're working with a full poll of all 100% of students, and only 0.44%, so 100 - .44 is 99.56

If rolling a pair of dice, which result has the highest probability?
A) sum of 2
B) sum of 7
C) sum of 9
D) sum of 12

Answers

Answer:

7

Step-by-step explanation:

Please help with this postulate! :)

Answers

Answer:

C. ASA postulate

Step-by-step explanation:

We observe two angles and the included side of ABC are congruent to two angles and the included side of DBE:

∠A ≅ ∠D∠C ≅ ∠ EAC ≅ DE

This is called ASA

Answer:

ASA postulate

Answer C is correct

Step-by-step explanation:

<ACB = < BED (Angle)

AC = DE (Side)

<CAB = < BED = 90° (Angle)

Therefore,

ABC triangle is congruent to DBE triangle according to ASA postulate.

Hope this helps you.

Let me know if you have any other questions :-):-)

Indicate which property is illustrated in step 1

Answers

The line segment goes from -7 to 1.

-7 to 0 is 7 units.

0 to 1 is 1 unit.

7 + 1 = 8 units in total

The length of the red line segment is 8 units.

Hope this helps!

Evaluate the expression.
-2(12 – 2(-4))?
What is the value of the expression

Answers

Answer:

-40

Step-by-step explanation:

-4 * 2 = -8

-8*-1= 8

12+8 = 20

20*(-2) =-40

Answer:

The answer is -40.

Step-by-step explanation:

Use PEMDAS and the distributive property.

PLEASE MARK AS BRAINLIEST!!!!!

Negative three times a number plus 4 is no more than the number minus 8 find the number

Answers

i believe the equation is -3x+4≤x-8

the answer would be x≥3

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