6 friends go to the movies. Tickets cost $12 and each person buys popcorn. They spend $156 altogether. Write and solve an equation to find the cost of one p, popcorn. Be sure to include the equation as part of your answer.

Answer: search up Expand and simplify trinomial square (a + b + c)^2 = a^2+b^2+c^2+2ab+2ac+2bc  on yutube and a video named that should show up

Step-by-step explanation:

this video helped me hope it could help you as well!

Step-by-step explanation:

Add the equations to eliminate q

5p-3q<0

3p+3q<24

8p<24

p< 3

Plug in value of p to an equation

3(3)+3q<24

3q<24-9

q< 5

Answer:

The solutions are (-2, 0) and (1, 3).

Step-by-step explanation:

Edginuity Sample response: The graph consists of a parabola and a line. The parabola opens down and has a vertex of (0, 4). The line has a slope of 1 and a y-intercept of 2. We want to solve

-x² + 4 = x + 2

Create two curves as follows:

y = -x² +4

and

y = x + 2

By graphing the two curves together, their points of intersection are the solutions.

y = -x² + 4 is a parabola with vertex at (0, 4), and it opens downward.

y = x + 2  is a straight line with slope - 1 and with y-intercept = 2

The points of intersection are (-2, 0) and (1, 3).

Answer:

  15

Step-by-step explanation:

Terms in a geometric series that are n apart will have a ratio that is r^n. Here we have terms a4 and a1, which are 4-1=3 apart, so their ratio is ...

  a4/a1 = 135/5 = 27 = r^3

  r = ∛27 = 3

The second term is the first, multiplied by this common ratio:

  a2 = a1·r = 3(5)

  a2 = 15

[tex]\underline{\underline{\large\bf{Solution:-}}}\\[/tex]

[tex]\leadsto[/tex]Let us assume entry fee for child be x

[tex]\leadsto[/tex]Let us assume entry fee for adult be y

[tex]\\[/tex]

[tex]\longrightarrow[/tex]Since Entry fees for 2 children and 1 adult is $90 an equation for entry fees will be formed as -

[tex]\begin{gathered}\\\implies\quad \sf 2\times x + 1 \times y = 90 \\\end{gathered} [/tex]

[tex]\begin{gathered}\\\implies\quad \sf 2 x + y = 90 \\\end{gathered} \_\_\_\_\_(1) [/tex]

[tex]\longrightarrow[/tex]Similarly, Entry fees for 3 children and 2 adult is $155 , so an equation for entry fees will be formed as -

[tex]\begin{gathered}\\\implies\quad \sf 3\times x + 2\times y = 155 \\\end{gathered} [/tex]

[tex]\begin{gathered}\\\implies\quad \sf 3x + 2y = 155 \\\end{gathered} \_\_\_\_\_(2) [/tex]

Multiplying eq (1) by 2 it will be -

[tex]\begin{gathered}\\\implies\quad \sf 4x + 2y = 180\\\end{gathered}\_\_\_\_\_(3) [/tex]

Subtracting eq(2) from eq(3) -

[tex]\begin{gathered}\\\implies\quad \sf 4x+2y - (3x+2y) = 180-155\\\end{gathered} [/tex]

[tex]\begin{gathered}\\\implies\quad \sf 4x + 2y - 3x - 2y = 35\\\end{gathered} [/tex]

[tex]\begin{gathered}\\\implies\quad \sf 4x - 3x +2y- 2y = 35\\\end{gathered} [/tex]

[tex]\begin{gathered}\\\implies\quad \bf x = 35\\\end{gathered} [/tex]

Thus , entry fee for a child at the amusement park = $ 35

Answer:

6

Step-by-step explanation:

let Noel's age be x

if Noel's age in 8 years will be three+times as old as it was 2 years ago:

x%2B8=3%28x-2%29

x%2B8=3x-6

6%2B8=3x-x

2x=14

x=7

Noel is 7 years old now

Answer:

12

Step-by-step explanation:

I just looked at this way 12 * 12 = 144.

Answer:

54mph (or 54 mi/h)

Step-by-step explanation:

9 am to the noon is 3 hours.

S=d/t   where S=average speed, d=distance, and t=time

S=162/3=54

Hope that helps!!!

Answer:

54 mph

Step-by-step explanation:

Noon is at 12:00 so if he started at 9:00 he would have droven 3 hours and 162 divided by 3 = 54. This is correct

Answer:

-1/3.

Step-by-step explanation:

The line passes by the points (-4,1) and (2,-1). The slope is:

(-1-1)/(2-(-4))=(-2)/6=-1/3

Answer:

k=−(x−h) 2+r 2 +y

Step-by-step explanation:

Subtract (x−h)   from both sides of the equation.

Subtracting (x−h) from itself leaves 0.

Subtract (x−h)from r

Take the square root of both sides of the equation.

Subtract y from both sides of the equation.

subtracting y from itself leaves 0.

Dividing by −1 undoes the multiplication by −1.

Answer:

hello

3.32 > 3.18

Step-by-step explanation:

Answer:$24

Step-by-step explanation:

To find 20 percent of a number you multiply the number by 20, then multiply the answer by .01.

120 x 20 = 2400

2400 x .01 = 24

Answer: I think its 24 tell me if I'm wrong

20 divided by 100 gives you 0.2

0.2x120 gives you 24

Answer:

That is an interesting fact! Thank you. If you need help, let me know and I may be able to help.

[tex]:)[/tex]

The time it will take the second crocodile to finish its snack is 120 seconds

Let x represent the rate of the first crocodile and let y represent the rate of the second crocodile.

The two crocodiles working together can finish a snack in 40 seconds. Thus;

(1/x + 1/y)40 = 1

It takes one of the crocodiles 60 seconds to finish its snack. Thus;

(1/x + 1/60)40 = 1

40/x + 2/3 = 1

x = 120 seconds

Read more about ratios and proportions here at; brainly.com/question/12442233

Complete question:

Two crocodiles together can finish their snack in 40 seconds. one of the crocodiles can finish the snack in 60 seconds. how long will it take the second crocodile to finish the same snack?

Answer:

c = 16

Step-by-step explanation:

First, distribute the 9 to the parentheses:

7c + 5 = 9(c − 3)

7c + 5 = 9c - 27

Then, subtract 7c from both sides:

5 = 2c - 27

Add 27 to both sides:

32 = 2c

Divide each side by 2:

16 = c

So, c = 16

Answer:

Step-by-step explanation:

This thing looks like you have to use the quadratic equation to solve it. You don't. It will factor. but you might have to guess a bit.

(3x       )(2x      )

(3x - 5 ) (2x + 7)                       How lucky is that!!?

Remove the Brackets

3x * 2x + 3x*7 - 5*2x - 35       Combine

2x*3x^2 + 21x - 10x - 35            

6x^2 + 11x - 35

So the guess turns out to be correct. Now we need to solve for the roots.

3x - 5  = 0                             Add 5 to both sides.

3x = 5                                   Divide by 3

x = 5/3

x = 1.6667

2x + 7 = 0                            Subtract 7 from both sides

2x = - 7                                Divide by 2

2x/2 = - 7/2

x = - 3.5

Answer

Answer:

4/13

Step-by-step explanation:

Answer:

0.322

Step-by-step explanation:

0.350 - 0.028

The answer would be 0.322

Hope this helps

Answer:

x=106

Step-by-step explanation:

I stitched a photo on how i got to my answer.

Answer:

it is a wild flamenco

Step-by-step explanation:

Answer:

-2 1/4

The average change in the field position run was -2 1/4 yards

Answer:

Step-by-step explanation:

196 = 14 x 14

Answer:

it might be 13/3 or just 13

Step-by-step explanation:

try doing 200 divided by 15

Answer:

The answer is 22.

Step-by-step explanation:

if it started with 860 and in 8 hours it has 1036 then you would subtract 1036 - 860 which is 176 and that divided by 8 is 22. hope that helps. :)  

Answer:

22 gallons per hour

Step-by-step explanation:

1036-860=176

176/8=22

22 gallons per hour is your answer

Answer:

răspuns corect 2

Step-by-step explanation:

dami coroana te rog

Answer:

To round a number to the nearest tenth , look at the next place value to the right (the hundredths). If it's 4 or less, just remove all the digits to the right. If it's 5 or greater, add 1 to the digit in the tenths place, and then remove all the digits to the right.

Step-by-step explanation:

Answer:

Sorry but I can't understand what you are trying to say...

Answer:

the process of multiplying these two complex numbers is very similar to multiplying two binomials! Multiply each term in the first number by each term in the second number.

Step-by-step explanation:

there

Answer:

the first one --->  x=[tex]\frac{y-200}{10}[/tex]

second one ----> x=[tex]\frac{y}{50}[/tex]

Step-by-step explanation: