what is the equation of the line

Answer:

   Adult tickets sold:   156

Step-by-step explanation:

   Adult ticket:   x

Student ticket:  y

x + y = 260                  ===>   -6(x + y = 260)     ===>  -6x -6y = -1560

6x + 4.5y = 1404         ===>                                           6x + 4.5y = 1404

                                                                                  ________________

add the two equations to eliminate a variable:                  -1.5y = -156

divide by -1.5:                                                                              y = 104

substitution to find x:

      x + y = 260

  x + 104 = 260

            x = 156

Answer:

the y-intercept is -3

Step-by-step explanation:

x+y=3

-x      -x

y=-x-3

b=-3

Answer: Slope = -2.000/2.000 = -1.000

x-intercept = -3/1 = -3.00000

y-intercept = -3/1 = -3.00000

Step-by-step explanation:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

x+y-(-3)=0

STEP

1

:

Equation of a Straight Line

1.1 Solve x+y+3 = 0

Tiger recognizes that we have here an equation of a straight line. Such an equation is usually written y=mx+b ("y=mx+c" in the UK).

"y=mx+b" is the formula of a straight line drawn on Cartesian coordinate system in which "y" is the vertical axis and "x" the horizontal axis.

In this formula :

y tells us how far up the line goes

x tells us how far along

m is the Slope or Gradient i.e. how steep the line is

b is the Y-intercept i.e. where the line crosses the Y axis

The X and Y intercepts and the Slope are called the line properties. We shall now graph the line x+y+3 = 0 and calculate its properties

Graph of a Straight Line :

Calculate the Y-Intercept :

Notice that when x = 0 the value of y is -3/1 so this line "cuts" the y axis at y=-3.00000

y-intercept = -3/1 = -3.00000

Calculate the X-Intercept :

When y = 0 the value of x is -3/1 Our line therefore "cuts" the x axis at x=-3.00000

x-intercept = -3/1 = -3.00000

Calculate the Slope :

Slope is defined as the change in y divided by the change in x. We note that for x=0, the value of y is -3.000 and for x=2.000, the value of y is -5.000. So, for a change of 2.000 in x (The change in x is sometimes referred to as "RUN") we get a change of -5.000 - (-3.000) = -2.000 in y. (The change in y is sometimes referred to as "RISE" and the Slope is m = RISE / RUN)

Slope = -2.000/2.000 = -1.000

Geometric figure: Straight Line

Slope = -2.000/2.000 = -1.000

x-intercept = -3/1 = -3.00000

y-intercept = -3/1 = -3.00000

Answer:

B.x= -4 and E. x= 10 are the answers

Answer: n = 267

Step-by-step explanation: Margin of Error shows the percentage that will differ the result you get from the real population value or, in other words, is the range of values in a confidence interval.

It can be calculated as

margin of error = [tex]z\frac{s}{\sqrt{n} }[/tex]

in which

z is z-score related to the confidence interval, which is this case is 1.96;

s is standard deviation;

n is the number in a sample;

So, the number of mice must be:

margin of error = [tex]z\frac{s}{\sqrt{n} }[/tex]

[tex]0.6=1.96\frac{5}{\sqrt{n} }[/tex]

[tex]\sqrt{n}=\frac{1.96*5}{0.6}[/tex]

[tex]\sqrt{n}=16.33[/tex]

n = 267

For the margin of error with 95% confidence interval be 0.6, it is needed 267 mice.

The total number of mice must be weighed so that a 95% confidence interval will have a margin of error of 0.6 grams is 267 and this can be determined by using the formula of margin of error.

Given :

The formula of margin of error can be used in order to determine the total number of mice. The formula of margin of error is given by:

[tex]\rm MOE = z\dfrac{s}{\sqrt{n} }[/tex]

where z is the z-score, s is the standard deviation, and n is the sample size.

Now, substitute the known values in the above formula.

[tex]\rm 0.6 = 1.96\times \dfrac{5}{\sqrt{n} }[/tex]

Simplify the above expression in order to determine the value of 'n'.

[tex]\rm n =\left(\dfrac{1.96\times 5}{0.6}\right)^2[/tex]

n = 267

Therefore, the total number of mice must be weighed so that a 95% confidence interval will have a margin of error of 0.6 grams is 267.

For more information, refer to the link given below:

https://brainly.com/question/20982963

Answer:

150% increase

Step-by-step explanation:

30 divided by 20 is 1.5

Answer:

t=1

Step-by-step explanation:

First combine the like terms

3t+5t+2t=6t 3+5-2=6

6t=6t

then divide each side by 6 to simplify

6t=6t

-------

6 6

t=6/6

t=1

Answer:

v=7

Step-by-step explanation:

my previous answer was incorrect, my bad

Answer: v=-7

Step-by-step explanation:

3(23−2v)+3v=48

Distribute:

69-6v+3v=48

Combine like terms:

-6v+3v=-3v

69-3v=48

Subtract 69 on both sides:

69-69-3v=48-69

-3v=-21

Divide 3 on both sides:

-3v/3=-21/3

v=-7

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

Explanation:

The equation y = (2/9)x is in the form y = kx

In this case, k = 2/9.

The value of k is the constant of proportionality.

All direct proportion equations are in the form y = kx. Their graphs go through the origin. The slope of the line is the same as the constant of proportionality.

Answer:

827.39 yd cubed or ^3

Step-by-step explanation:

Hope i could help

Answer:

[tex]827.39yd^{3}[/tex]

Step-by-step explanation:

The formula to find the volume of a rectangular prism is length times width times height ([tex]lwh[/tex]). So, multiply the three numbers and you’ll get [tex]827.39yd^{3}[/tex]. You always have to cube the units. So you have to cube the yd.

Hope this helps and answers your question! :)

Answer:

Step-by-step explanation:

Solve for

x

by simplifying both sides of the equation, then isolating the variable.

Exact Form:

x

=

81

2

Decimal Form:

x

=

40.5

Mixed Number Form:

x

=

40

1

2

Answer:

x = 81/2

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Step-by-step explanation:

Step 1: Define Equation

2/3x = 27

Step 2: Solve for x

Step 3: Check

Plug in x into the original equation to verify it's a solution.

Here we see that 27 does indeed equal 27.

∴ x = 81/2 is the solution to the equation.

a company spent a total of 14,400th in 2001 for the maintenance of its cars a. copy and complete the table below. b. calculate the average expense for car maintenance. vs. maintenance costs have been shown in the circular diagram opposite, but the legend has been deleted. restore this legend.Answer:

Step-by-step explanation:

a company spent a total of 14,400th in 2001 for the maintenance of its cars a. copy and complete the table below. b. calculate the average expense for car maintenance. vs. maintenance costs have been shown in the circular diagram opposite, but the legend has been deleted. restore this legend.

Answer:

A = 78.46 square yards

Step-by-step explanation:

A = (C^2)/4π

A = ((31.4 )^2)/4π

A = 78.46

hope this helps, pls mark brainliest :D

Answer:

your answer is going to be 3097.48

I found: Domain: all real x ; Range: all real y

Answer:

it is a function

Step-by-step explanation:

Answer:

Step-by-step explanation:

Slope of the line =3\2

Answer:

its -0.67

Step-by-step explanation:

i typed it into my algevra calc

Answer:

profit 40 dollars

Step-by-step explanation:

Answer:

x² - 6x + 9

General Formulas and Concepts:

Algebra I

Step-by-step explanation:

Step 1: Define

x² + 6x + 9

Step 2: Find Roots α and β

Step 3: Solve

Answer: -0

The absolute value of any number is positive so you can say the absolute value of -0 is 0 and it’ll be true. You can also say the absolute value of 0 is 0.

Answer:

50.4

Step-by-step explanation:

42 * 0.02 = 8.4

42 + 8.4 = 50.4

Answer:

a=2

b=14

Step-by-step explanation:

Step-by-step explanation:

a=2b=14.................

Answer:

Step-by-step explanation:

Area formula:

Area of circle D:

Area of circle D'

Required relationship:

Answer:

The measure of angle two is 47 degrees (first triangle), and the measure of angle four is 42 degrees (second angle)

Step-by-step explanation:

Remember that all triangles have a full measurement of 180 degees.

Since measure one is is 65 degrees, we need to add 65 and 68, which is 133 degrees.

Now we subtract 180 - 133 = 47.

The measure of angle two is 47 degrees.

Since the angle of measure three is 89 degrees, we need to add 89 + 49, which is 138 degrees.

180 - 138 = 42.

Hi, you didn’t post answer choices but this should be it:

4x - 9 > 17

Answer:

slope is 2

Step-by-step explanation:

simplify this equation so that you can get to "y ="

your equation is: 6x - 3y = 5

start by subtracting 6x from both sides: -3y = -6x - 5

then divide both sides by -3 to isolate y: y = 2x - 5/3

so now we can clearly see that the slope is 2, since that is what is right next to x

Answer:

10

Step-by-step explanation:

x³=1000

x=3√1000

x=10

Answer:

x = 10   or   x = -5 + 5*i*sqrt(3)   or   x = -5 - 5*i*sqrt(3)

Step-by-step explanation:

x^3 = 1000

x^3 - 1000 = 0

(x - 10)(x^2 + 10x + 100) = 0

x = 10 or x^2 + 10x + 100 = 0

x = 10 or x^2 + 10x + 25 = -100 + 25

x = 10 or (x + 5)^2 = -75

x = 10 or x + 5 = sqrt(-75) or x + 5 = -sqrt(75)

x = 10   or   x = -5 + 5*i*sqrt(3)   or   x = -5 - 5*i*sqrt(3)

Answer:

Step-by-step explanation:

Given

The distance between basement and second story floors:

Answer:

The answer is "28!"

Step-by-step explanation:

In this question, the equation is "[tex]y = -4x + 42[/tex]" and the number of complaints were = [tex]28![/tex] .

Answer:

graph d

Step-by-step explanation

(if it asks which graph)

Answer:

The mystery number is 7

Step-by-step explanation:

This is a very easy problem.

let the mystery number=x

2(x+5)=24

2x+10=24

2x=24-10

2x=14

x=7

To check the answer,

Add 5 to 7=12, multiply by 2=24