Solving the systems of equations. Write a system of
equations and solve.
You sell tickets for admission to your school play and collect a
total of $156. Admission prices are $8 for adults and $4 for
children. you sold 24 tickets. How many adult tickets and how
many children tickets did you sell?
Adults tickets =
Children tickets =

Answers

Answer 1

Answer:

Adult tickets = 15

Children tickets = 9

Step-by-step explanation:

x = adult tickets

y = children tickets

8x + 4y = 156

x + y =24

Therefore,

x = 24 - y

y = 24 - x

Substitute,

8 (24 - y) + 4y = 156

192 - 8y + 4y = 156

-8y + 4y = 156 - 192

-4y = -36

y = 9

Therefore,

x + 9 = 24

x = 24 - 9

x = 15

Check your answers

8x + 4y = 156

8(15) + 4(9) = 156

120  + 36 = 156

156 = 156


Related Questions

Can anyone help me with this? i dont need a graph i just need the answer for it​

Answers

The answer is x=3 and y=2

8. In the figure ir 10. find value of 22 and 23.​

Answers

Answer:

I am not sure what you're asking, but the other side of #2 should be the same degree/the missing one has the same degree as #2, just like how #3 is the same as #1 in degrees. if you plug in #1 + #2 you'd get 180 degrees, same thing with the #3 + the missing degree

what is the answe ?????​

Answers

Hello there!

The right prime factorization is

2*2*2*3*11 because 2 and 3 and 11 are prime.

Take a look at the words "prime" and "factorization"

Can you see something that looks like "prime factors?" Exactly!

2 is prime. 3 is prime. 11 is also prime.

A prime number is only divisible by 1 and itself.

What is the value of 5+2*15+(12*4)?

If you remember "Please Excuse My Dear Aunt Sally" that's great as long as you know what that means.

P = Parentheses

E=Exponents

M=Multiplication

D=Division

A=Addition

S=Subtraction

5+2*15+(12*4)=5+2*15+(48)=5+30+48=83

A farmer has 40 tomatoes in a basket. 18 were green. How many were red?

[tex]Given:[/tex]

18 green

40 total

[tex]Find:[/tex]

Red

40-18=22

Hope this helps

Answer:

18 green

40 total

Red

40-18=22

Step-by-step explanation:

A 3 fl oz bottle of orange juice costs $21 and a 6 fl oz. bottle of orange juice
costs $36. Which is a better buy?

Answers

Answer:

6floz bottle of orange juice.

Step-by-step explanation:

21*2=42

$42 for 6floz of juice vs $36 for the same amount. 36 is the better deal!

Answer:

6 fl oz. bottle of orange juice

Step-by-step explanation:

For the  6 fl oz bottle to be equal to the 3fl oz bottle prize, it would need to cost 42, but since it only costs 36$, it would be the better deal.

-kiniwih426

I already answered this, but I ain't sure ‘bout the answer that I got. So, I need clarifications, can you solve this for me please? ​

Answers

Solution:

[tex]35x( \frac{3}{7} = \frac{1}{5} + \frac{1}{x} ) \\ = > 35x \times \frac{3}{7} = > 35x \times \frac{1}{5} + 35x \times \frac{1}{x} \\ = > 5x \times 3 = 7x + 35 \\ = > 15x = 7x + 35 \\ = > 15x - 7x = 35 \\ = > 8x = 35 \\ = > x = \frac{35}{8} \\ = > x = 4.375[/tex]

Answer:

x = 4.375

what is the aswer ??????​

Answers

Answer:

A prime numbers are numbers which have only two factor

The answer is prime number because it’s only two factor

In a high school basketball game, a player on the home team makes two free throws. One student asks the student next to her what he thinks the probability of hitting two free throws in a row is. The student replies, "The probability of him making a free throw is probably about .6, so hitting two free throws is probably about 1.2." Why can this immediately be dismissed as incorrect?
A.
The final number, 1.2, is a fraction, which can never represent a probability.
B.
The probability of making a free throw can never be .6.
C.
The probability of an event happening twice in a row can never be equal.
D.
The final number is greater than 1, which is not a valid probability.

Answers

Answer:

D

Step-by-step explanation:

The probability can be expressed as a number between 0 and 1 or a percent value between zero and 100%.

Correct choice is:

D. The final number is greater than 1, which is not a valid probability.

i need the original slope and parallel slope

Answers

Answer:

Slope is -2/3

Parallel slope is the same just draw another line with the same slope but a different y-intercept

Step-by-step explanation:

Charley Davis is 1/4 as old as his father. The sum of their ages is 45. How old is each? please show work

Answers

Charley is 9 years old, dad is 36. 1/4 of 36, 36/4=9. 9 (Charleys age) + 36 (dads age) =45

A tire shop had to fill 2 1/2 tires with air. It took a small air pump 2 1/2 seconds to fill them up. How long will it take to fill 8 tires?

Answers

Answer:

8 seconds if tyres took 1 second each tyre as 2.5/2.5 =1

The question did specify 2 1/2 secs to fll them all up which is 1 second each x 8 = 8 sec total.

Step-by-step explanation:

2  1/2 litres = number of tyres

2 1/2 seconds taken

= if each tyre took 2 1/2 seconds the quetsion should say clear but would be

2 1/2 tyres x 2 1/2 seconds = 6.26 seconds every 2 1/2 tyres

so 8 tyres x 2 1/2 seconds = 20 seconds every 8 tyres

If the 2 1/2 seconds applied to all 2 1/2

then we need to find a multiplier for 1 tyre

Here we divide

2 1/2 / 2  1/2 = 1

8 x 1 = 8 seconds.

pick-m-up towing company charges 40$ to hook a car and 1.70 for each mile that it is towed. write an equation that represents the total cost y for x miles towed. find the y intercept, and interpret its meaning in the context of the situation

Answers

Using linear function concepts, it is found that:

The equation for the cost of x miles towed is: [tex]y = 1.7x + 40[/tex].The y-intercept is [tex]y = 40[/tex], which means that the flat fee is $40.

A linear equation for a cost has the following format:

[tex]y = mx + b[/tex]

In which:

m is the slope, which is the rate of change.b is the y-intercept, which is the fixed cost, also called flat fee.

In this problem:

The y-intercept is the cost to hook a car, which is $40, thus [tex]b = 40[/tex] and the flat flee is $40.Cost of $1.70 per mile towed, thus the slope is [tex]m = 1.7[/tex].

Then, the equation for the cost is given by:

[tex]y = 1.7x + 40[/tex]

A similar problem is given at https://brainly.com/question/16302622

Look at #4 and 5 only I’m struggling

Answers

Answer:

You have to multiply the input 3 times to get the output.

- 8/9x - 4/45x + 1/5x = - 70

Answers

Answer:

x = 90

Step-by-step explanation:

- [tex]\frac{8}{9}[/tex] x - [tex]\frac{4}{45}[/tex] x + [tex]\frac{1}{5}[/tex] x = - 70

Multiply through by 45 ( the LCM of 9, 45, 5 ) to clear the fractions

- 40x - 4x + 9x = - 3150 , that is

- 35x = - 3150 ( divide both sides by - 35 )

x = 90

what's the value :5/8+3/4×10/3÷1/3?​

Answers

Answer:

Step-by-step explanation:

Answer:

3.458333!!!!

Step-by-step explanation:

5÷3+3÷4×10÷3÷1÷3=3.4583333333

a. Write the given equation in standard form.8x+3y+6=0

Answers

Answer:

8x+3y=-6

Step-by-step explanation:

20 divided by 4 1/2 help, i wil give brainlist if have the step by step

Answers

Answer:

40/9 or 4 4/9

Step-by-step explanation:

What is the measure of the complement of 65? a.135 b. 25 d. 45 c. 35​

Answers

Answer:

25°

Step-by-step explanation:

Complement angle is the sum of two angles forming a right angle.

Follow the given steps to find the angle:

< a + 65° = 90°

< a = 90 - 66

< a = 25°

If BD−→− bisects ∠ABC, then D lies in the interior of ∠ABC. D lies in the interior of ∠ABC.

True or false?

Answers

Answer:

Step-by-step explanation: false

It is true that if BD bisects ∠ABC, then D lies in the interior of ∠ABC

What are the types of triangle ?

There are three types of triangle and they are

Isosceles triangle in which two sides and two angles are same.

Equilateral triangle in which all the sides and angles are equal.

Scalene triangle in which none of the sides and angles are equal.

According to the given question

If BD bisects ∠ABC, then D lies in the interior of ∠ABC and it is true.

If we draw any line from the vertex B which passes through inside the given triangle then it lies in the interior of [tex]\angle B[/tex].

learn more about triangles here :

https://brainly.com/question/4164600

#SPJ2

what values represent the sum of 1/2 + 3/12

Answers

1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9

Find the product. Your answer should be in simplest form.
1.1.7
• 7 (1 point)
3
1
O
137
21
1
2
1 그
02
3
010
I neeed help

What is

1/3 times 7

Answers

1/3 (7)

7 is essentially 7/1, so 1 x 7     7

                                      3 x 1     3

7/3

A cube has edge length 11 inches. Write an expression for its volume and an expression for its
surface area.

Answers

Answer:

volume=1331inch^3

Surface area=726inch^2

Step-by-step explanation:

Answer:

Volume:11

3

=1331

Surfacearea:11

2

×6=726

solve X
8-x/10=11

please help me

Answers

Answer:

x = -102

Step-by-step explanation:

Step 1: Multiply both sides by 10.

[tex]\frac{8-x}{10} * 10 = 11*10[/tex] [tex]8-x = 110[/tex]  [tex]-x + 8 = 110[/tex]

Step 2: Subtract 8 from both sides.

[tex]-x + 8 - 8 = 110 - 8[/tex] [tex]-x = 102[/tex]

Step 3: Divide both sides by -1.

[tex]\frac{-x}{-1} = \frac{102}{-1}[/tex] [tex]x=-102[/tex]

Step 4: Check if solution is correct.

[tex]\frac{8-(-102)}{10} = 11[/tex] [tex]\frac{8+102}{10}=11[/tex] [tex]\frac{110}{10}=11[/tex] [tex]11 = 11[/tex]

Therefore, x = 11.

Have a lovely rest of your day/night.

IF 0 ≤theta°≤360°

find cos(2theta-10°)=-1/2

Answers

Answer:

θ

can be in the first quadrant

0

θ

90

or the fourth quadrant

270

θ

360

If

θ

is in the first quadrant,

then

sin

θ

=

5

13

cos

θ

=

12

13

tan

θ

=

5

12

Therefore,

sin

2

θ

=

2

sin

θ

cos

θ

=

2

×

5

13

×

12

13

=

120

169

cos

2

θ

=

cos

2

θ

sin

2

θ

=

(

12

13

)

2

(

5

13

)

2

=

144

169

25

169

=

119

169

If

θ

is in the fourth quadrant,

then

sin

θ

=

5

13

cos

θ

=

12

13

tan

θ

=

5

12

Therefore,

sin

2

θ

=

2

sin

θ

cos

θ

=

2

×

5

13

×

12

13

=

120

169

cos

2

θ

=

cos

2

θ

sin

2

θ

=

(

12

13

)

2

(

5

13

)

2

=

144

169

25

169

=

119

169

[2(5 – 4) + 6(7 – 3)] ÷ 2

Answers

Answer:

13

Step-by-step explanation:

Use PEMDAS

1. 5-4=1

7-3=4

Now you have the equation: (2x1 + 6x4)/2

2. 2x1=2

6x4=24

Now you have the equation (2+24)/2

3. 2+24= 26

4. 26/2=13

So your answer is 13.

Make sense?

Answer:

13

Step-by-step explanation:

2(5 – 4) = 2

6(7 – 3) = 24

2 + 24 = 26

26 ÷ 2 = 13

Hope this helps!

Which pair of points should be used to find the line of best-fit for the scatterplot?.

On a graph, a trend line would go through points K and M.Which pair of points should be used to find the line of best-fit for the scatterplot?.

On a graph, a trend line would go through points K and M.Which pair of points should be used to find the line of best-fit for the scatterplot?.

On a graph, a trend line would go through points K and M.

Answers

Answer:

Could you give a picture or say what does the point K and M say.

Step-by-step explanation:

can you plz find this witj equation​

Answers

Answer= -4p^2r+3pr

Explanation:
Pr-6p^2r,3p^2r-2pr, 2pr-p^2r
Collect like terms so:
Pr-3p^2r-2pr,2pr-p^2
Pr-4p^2+2pr
-4p^2r+3pr

-3p^2r-p^2= -4p^r
Pr+2pr=3pr

I hope that explains it, if you still don’t understand it let me know and I’ll try explaining it better.

What is the solution to the system of linear equations? 2x + 3y = 3 3x + 5y = 5 Enter you answer into the boxes.

Answers

Answer:

x = 0

y = 1

Step-by-step explanation:

2x + 3y = 3               Multiply this equation by 3

3x + 5y = 5               Multiply this equation by 2

3(2x + 3y = 3)

6x + 9y = 9

2(3x + 5y = 5  )

6x + 10y = 10             Notice the xs are the same.

6x + 9y = 9

6x + 10y =10            Subtract

     - y = - 1                Multiply each side by -1

     y = 1

2x + 3y = 3

2x + 3*1 = 3

2x = 0

x =0

3x^2 + 2x-4 = 0 help

Answers

Answer:

[tex]{ \rm{3 {x}^{2} + 2x - 4 = 0 }}[/tex]

• let's use the quadratic formular to solve the quadratic equation given.

• Considering general quadratic equation; ax² + bx + c = 0

• therefore;

[tex]{ \tt{x = \frac{ - b \pm \sqrt{ {b}^{2} - 4ac } }{2a} }} \\ [/tex]

a is 3b is 2c is -4

• substitute following the mathematical operation rules:

[tex]{ \rm{x = \frac{ - 2 \pm \sqrt{ {2}^{2} - (4 \times 3 \times - 4) } }{(2 \times 3)} }} \\ \\ { \rm{x = \frac{ - 2 \pm52}{6} }} \\ [/tex]

• split the values:

[tex]{ \rm{either \: \{x = \frac{ - 2 + \sqrt{52} }{6} \} \: \: or \: \: \{x = \frac{ - 2 - \sqrt{52} }{6} \} }} \\ \\ { \rm{either \: \{x = 0.87 \} \: \: or \: \: \{x = - 1.54 \}}}[/tex]

what is 6/14 x 21/30 ?

Answers

what is 6/14 x 21/30 ?

it's 0.3

The price of pears can be determined by the equation P=0.54n, where P is the price and n is the number of pears. What is the constant of proportionality (unit rate)?

Answers

Answer 0.54

This means that each pear cost 0.54
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