Bob reads 72 chapters of a book in 8 hours.
What is his rate in chapters per hour

Answer & Step-by-step explanation:

When two lines are parallel, their slopes are the same. To find the slope of the given equation, convert to slope-intercept form:

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

[tex]6x-5y=15[/tex]

Solve for y. Subtract 6x from both sides:

[tex]6x-6x-5y=15-6x\\\\-5y=-6x+15[/tex]

Divide both sides by -5:

[tex]\frac{-5y}{-5} =\frac{-6x}{-5} +\frac{15}{-5} \\\\y=\frac{6}{5}x-3[/tex]

The slope is [tex]\frac{6}{5}[/tex].

Now you need to make an equation in point-slope form:

[tex]y-y_{1}=m(x-x_{1})[/tex]

Insert known values:

[tex]y-4=\frac{6}{5}(x-5)[/tex]

You can use this equation, or you can convert to slope-intercept form by solving for y:

Use the distributive property:

[tex]y-4=\frac{6}{5} x-6[/tex]

Add 4 to both sides:

[tex]y-4+4=\frac{6}{5}x-6+4\\\\ y=\frac{6}{5}x-2[/tex]

:Done

The equation of the perpendicular line is [tex]y = \frac 65x - 2[/tex]

The equation of the line is given as:

[tex]6x -5y = 15[/tex]

Start by calculating the slope (m) of the line as follows:

[tex]6x -5y = 15[/tex]

Subtract 6x from both sides

[tex]-5y = 15 - 6x[/tex]

Divide both sides of the equations by -5

[tex]y = -3 + \frac65x[/tex]

Rewrite as:

[tex]y = \frac65x-3[/tex]

For a linear equation, y = mx + b, the slope of the line is m

So, the slope is:

[tex]m = \frac65[/tex]

The equation of the line is said to be parallel to the above equation

So, the slope of the line is:

[tex]m = \frac65[/tex]

The line is said to pass through point (5,4).

So, the equation of the line is:

[tex]y = m(x - x_1) +y_1[/tex]

This gives

[tex]y = \frac 65(x - 5) +4[/tex]

Expand

[tex]y = \frac 65x - 6 +4[/tex]

[tex]y = \frac 65x - 2[/tex]

Hence, the equation of the line is [tex]y = \frac 65x - 2[/tex]

Read more about line equations at:

https://brainly.com/question/14323743

Answer:

∠1 is supplementary to ∠3.

Step-by-step explanation:

Given information: ABCD is a parallelogram.

Prove: ∠1 is supplementary to ∠3.

Proof:

∠1 = ∠ADB

∠2 = ∠DBC

∠3 = exterior angle adjacent to angle D B C.

Statement                                         Reason

∠2 is supplementary to ∠3           Linear pairs

m∠2+m∠3=180°                             Definition of supplementary angles

                           Alternative interior angles

m∠1+m∠3=180°                              Substitute property of equality

∠1 is supplementary to ∠3            Definition of supplementary angles

Answer: k < 3

......................

Answer:

Linear

Step-by-step explanation:

Find the degree of the equation to determine if linear.

All are linear.

Solve them to determine whether they are linear or non-linear.

Answer: One way to find the least common multiple of two numbers is to first list the prime factors of each number. Then multiply each factor the greatest number of times it occurs in either number. If the same factor occurs more than once in both numbers, you multiply the factor the greatest number of times it occurs.

Step-by-step explanation:

Answer:

No solution

Step-by-step explanation:

It equals a negative so there is no solution

Answer:

D I think

Step-by-step explanation:

one dozen is 12 so you reduce it so you make it smaller

Answer:

=-37

Step-by-step explanation:

=-3(3+7) - ( 4+3)

=-3.10-(4+3)

=-3.10-7

=-30-7

=-37

Answer:

Your final answer will be

−37

Step-by-step explanation:

(2−5)(3+7)−(4+3)

= −3(3+7)−(4+3)

= (−3)(10)−(4+3)

= −30−(4+3)

= −30−7

= −37

Answer:

did you say elsa lol

Step-by-step explanation:

LET IT GO LET IT GOOOOOOOOOOOO

Answer: A 71.05

B 11.7

It can be confusing but here are your answers

Answer:

x + 6 = 10

x = 4

Answer:

A) [tex]log{4}[/tex] (3x+4) = 2

Step-by-step explanation:

took the test

Answer:

its c i tink but im not completly sure

Step-by-step explanation:

Answer: B. The rational number system is closed under multiplication, because the product of two rational numbers is always a rational number.

The explanation is in the photo below:

Step-by-step explanation:

0

Answer:

720

Step-by-step explanation:

16*45=720

Answer:

720

Step-by-step explanation:

If in 1 day they eat 16 biscuits, then in 45 days they eat 45 * 16 biscuits.

45 * 16 = 720

Answer: 720

Answer:

Step-by-step explanation:

Vertical by definition means up and down. The y-axis fits this description. Look at a picture of a Cartesian coordinate system

Answer:

the y-axis

Step-by-step explanation:

vertical is up and down

horizontal is side to side or left and right

y is up and down

Answer:

x=-1

Step-by-step explanation:

-9x+18-18=27-18

-9x=9

-9x/-9 = 9/-9

x=-1

Answer:

-1

Step-by-step explanation:

Answer:

4mn,m and, 5. The terms are anything that's not a symbol like + or = in an equation

P.s.

Please give me brainliest for my next rank.

Answer:

17.5? i think

Step-by-step explanation:

35 miles for every 2 gallons of gas

jay's car would go 17.5 miles for one gallon of gas

Answer:

30 centimeters

Step-by-step explanation:

You have to find the scaling of the lengths first, and to do that, you divide the 20 by 8, which would be 2.5. After, you multiply 2.5 by 12 to get your answer.

Answer:

30

Step-by-step explanation:

20 divided by 8 is 2.5, so you know that the triangle expanded by 2.5.

Multiply the small triangle's length by 2.5 to get your answer of 30.

Answer:

The constant of proportionality is 3/4

Step-by-step explanation:

Here, we want to write the constant of proportionality in the given graph .

To find the constant of proportionality, we need to find the slope of the line.

We can get the slope by using two of the points on the line.

Mathematically, slope of a line m is;

m = (y2-y1)/(x2-x1)

Let (x1,y1) = (120,90) and (x2,y2) = (400,300)

slope will be ( 300-90)/(400-120) = 210/280 = 3/4

Answer:

1, 2, and 4. (I believe it is).

Step-by-step explanation:

Answer:it thinks it 45

Step-by-step explanation:

I counted

Answer:

45%

Step-by-step explanation:

use ratio;

100-100%

45-x

Ok, to solve for (a) you need to get it alone. So divide 9 by all.

9a/9 = b^3/9 + 4H/9

Then your left with your equation, which is

a = b^3/9 + 4H/9

Hope this helps, if so please mark brainliest.

The equation of a line passes through the point (10,1) and has a slope of

- 0.5 is y = - 0.5x + b.

The slope is the rate of change of the y-axis with respect to the x-axis.

The equation of a line in slope-intercept form is y = mx + b, where

slope = m and y-intercept = b.

We know the greater the absolute value of a slope is the more steeper is its graph or rate of change is large.

Yes, A line that passes through the point (x, y), with a y-intercept of b and a slope of m, can be represented by the equation y = mx + b.

Now, A line is drawn on the coordinate plane that passes through the point (10, 1) and has a slope of - 0.5.

Therefore,  1 = - 0.5(10) + b.

1 = - 5 + b.

b = 6.

And hence equation of the required line is,

y = - 0.5x + 6.

learn more about lines and slopes here ;

https://brainly.com/question/16180119

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Answer:  The length of AC is 6.

Might as well make it right lol ;)

360-gon all have 80-degree rotational symmetry.

Answer:

360-gon all have 80-degree rotational symmetry.

Step-by-step explanation:

Answer:  (3x - 12, 3y +6)

Step-by-step explanation:A dilation is a transformation that produces an image that is the same shape as ... The dilation (centered at O with a scale factor of 2) of ΔABC = ΔA'B'C' making ... from O to the vertices of ΔA'B'C' are twice the distances from O to ΔABC. ... Apply the dilation formula when centered at origin: (3(x - 4), 3(y + 2)) = (3x - 12, 3y + 6)