Consider the line 9x+6y= -3.
What is the slope of a line perpendicular to this line?
What is the slope of a line parallel to this line?

[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:

I believe 11 days.

Step-by-step explanation:

If you're looking for how many days until you had 8 including that day then it would be 11. But if you're just looking for days before, not including the day you got 8, your answer would be 10. Sorry if this doesn't help. Hope you have a good day/night!

Answer:

Step-by-step explanation:

set it up as an algebra equation- 20 = 2x - 8. You subtract 8 from the 20 original candy, since that’s what you have left. You end up with 16 candy.

divide by 2, for 2 candies a day, and you end up with 6.

You eat that much candy in 6 days

Answer:

4/13

Step-by-step explanation:

9514 1404 393

Answer:

  A) Enterprise: E(x) = 50 +0.25x; Hertz: H(x) = 30 +0.45x

  B) see attached graph

Step-by-step explanation:

A) We choose to compare Hertz (lowest daily charge) and Enterprise (lowest mileage charge). In each case, the total charge will be the sum of the daily charge and the product of the mileage charge and number of miles (x).

  Enterprise: E(x) = 50 +0.25x

  Hertz: H(x) = 30 +0.45x

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:

4 weeks

Step-by-step explanation:

you just take 8/2 and you get 4

Answer:

4 weeks

Step-by-step explanation:

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:

x=106

Step-by-step explanation:

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

Answer:

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

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

Step-by-step explanation:

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:

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: 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!

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:

it is a wild flamenco

Step-by-step explanation:

Answer:

59 percent

Step-by-step explanation:

59 divided by 100 is 0.59, which means 59 percent.

Also, when the total is 100, then the amount out of 100 is the percent ( 59 out of 100 is 59 percent, because it is out of 100).

Answer:

-2 1/4

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

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:

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:$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:

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:

-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:2/5

Step-by-step explanation:

Answer: The answer would be D

Step-by-step explanation: To solve this problem you first need to add up all the total number of bills, which is 20. Then you want to format it 8/20 because there are 8 twenty dollar bills which means there is an 8/20 chance for you to get a twenty. Then simplify it if you can.

Answer:

question 10: 66

Step-by-step explanation:

[tex] \frac{6 \times 121}{11} = 66[/tex]

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: The following image lays out everything you for you. Glad I could help!

Answer:

it might be 13/3 or just 13

Step-by-step explanation:

try doing 200 divided by 15

Check the picture below.

3c means = 3 x c

2c means = 2 x c

and so on

so  if c = - 3

3 x (-3) x (2 x (-3) - 1) - 5 x (3 x (-3)² + (-3))

= -9 x (-6 - 1) - 5 x (3 x 9 - 3)

= - 9 x (-7) - 5 x (27 - 3)

= 63 - 5 x 24

= 63 - 120

= - 57

Answer :

Given expression :

[tex]{ \longrightarrow\qquad \sf 3c(2c-1)-5(3c {}^{2} +c)}[/tex]

⠀

When c = (-3) ,

⠀

[tex]{ \longrightarrow\qquad \sf 3( - 3) \bigg[2( - 3)-1 \bigg]-5 \bigg[3( - 3){}^{2} +( - 3) \bigg]}[/tex]

⠀

[tex]{ \longrightarrow\qquad \sf - 9 \bigg[ - 6-1 \bigg]-5 \bigg[3( 9)+( - 3) \bigg]}[/tex]

⠀

[tex]{ \longrightarrow\qquad \sf - 9 \bigg[ - 7 \bigg]-5 \bigg[27 - 3 \bigg]}[/tex]

⠀

[tex]{ \longrightarrow\qquad \sf 63-5 \bigg(24 \bigg)}[/tex]

⠀

[tex]{ \longrightarrow\qquad \sf 63-120}[/tex]

⠀

[tex]{ \longrightarrow\qquad \bf - 57}[/tex]

⠀

Therefore,