Find an equation of the line that passes through the given point and has the indicated slope m.

Answer:

x=2

Step-by-step explanation:

6x+2x-9=7

Combine like terms on each side of the equation

8x-9=7

Add 9 to each side

8x=16

Divide by 8 on each side

x=2

Simplifying

6x + -2x + -9 = 7

Reorder the terms:

-9 + 6x + -2x = 7

Combine like terms: 6x + -2x = 4x

-9 + 4x = 7

Solving

-9 + 4x = 7

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '9' to each side of the equation.

-9 + 9 + 4x = 7 + 9

Combine like terms: -9 + 9 = 0

0 + 4x = 7 + 9

4x = 7 + 9

Combine like terms: 7 + 9 = 16

4x = 16

Divide each side by '4'.

x = 4

Simplifying

x = 4

Step-by-step explanation:

Answer:

-20

Step-by-step explanation:

f(-1) = 7(-1) - 13

f(-1) = -20

Answer:

$28

Step-by-step explanation:

The towel was $44 but at 1/2 off would be $22.

Her total cost was $38 so we subtract $22 from $38 to find how much she paid for the beach hat.

$38-$22 = $16

We add $12 to $16 to find the original price of the hat.

$16+$12 = $28

Answer:

$28

Step-by-step explanation:

Answer:

1) 46 cases to 1 min

2) 50 cans to 1 min

3) Cans are made faster

Step-by-step explanation:

1) 2 min per 92 cases so that's 2/2 and 92/2  which is 1 to 46

2) Now canned juice is as it shows in the graph as 50 cans per min.

3) 50 cans can be made in a min while only 46 cases can be made in a min.

Answer:

The ratio of their volumes (the top to bottom half) is 1/7

Step-by-step explanation:

The given parameters are;

The radius, r, of the cone = 10 cm

The height of the cone = 16 cm

The point at which the cone is divided = The midpoint of the its axis and parallel to its base

The ratio of the of the volume of the two parts is given as follows;

The volume, V of the entire cone = 1/3 × Base area (π·r²) × Height, h

Therefore;

V = 1/3 × π × 10² × 16 =1600·π/3 =  1675.52 cm³

The height at which the cone is divided = 16/2 = 8 cm

The height, h₁ of the uppermost divided cone = 8 cm

The ratio of the radius to the height of the cone = 10/16 = 5/8

The radius r₁, of the uppermost divided cone = The height of the uppermost divided cone × The ratio of the radius to the height of the cone

∴ r₁ = 8 × 5/8 = 5 cm

The volume, V₁, of the uppermost divided cone = 1/3 × (π·r₁²) × h₁

∴ V₁ = 1/3 × π × 5² × 8 = 200·π/3 = 209.44 cm³

Which gives;

The volume of the lower cone, V₂ =  V - V₁

V₂ =  1675.52 cm³ - 209.44 cm³ = 1400·π/3 = 1466.1 cm³

The ratio of their volumes V₁ : V₂ = V₁/V₂ = (200·π/3)/(1400·π/3) = 209.44/1466.1 = 1/7.

Answer:

1m/s²

Step-by-step explanation:

Acceleration is the change in velocity of a body with respect to time.

Acceleration = Change in velocity/time

Acceleration (a) = final velocity(v)-initial velocity(u)/time(t)

Given parameters:

final velocity v = 4.4m/s

initial velocity u = 1.2m/s

time taken = 3.2s

Required

Acceleration

Substitute the given parameters into the formula to get the acceleration

Acceleration = 4.4 - 1.2/3.2

Acceleration = 3.2/3.2

Acceleration = 1m/s²

Therefore the boy acceleration is 1m/s²

Answer:

5 2/7

Step-by-step explanation:

First, we can find how many whole 7's would fit into 37.

We find that five 7's fit into 37.

5*7=35

37-35=2

So, our mixed number is 5 2/7

Answer:

d is correct

Step-by-step explanation:

Given

10(30x - 5y) = - 40y + 600 ( divide both sides by 10 )

30x - 5y = - 4y + 60 ( add 5y to both sides )

30x = y + 60 ( subtract 60 from both sides )

30x - 60 = y → d

Answer:

1. 69°

2. 97°

3. 145°

4. 150°

5. 128°

6. 74°

Step-by-step explanation:

To find the angle measure of the missing angle, we have to note that the angle measures of a quadrilateral will all equal up to be 360°.

If we know 3 out of the 4 angles and the sum of the angles, we can add up the angles we know then subtract that from 360.

Number 1:

[tex]87+112+92=291[/tex]

[tex]360-291=69[/tex]

Number 2:

[tex]124+71+68=263[/tex]

[tex]360-263=97[/tex]

Number 3:

[tex]95+46+74=215[/tex]

[tex]360-215=145[/tex]

Number 4:

[tex]72+49+89=210[/tex]

[tex]360-210=150[/tex]

Number 5:

[tex]69+65+98=232[/tex]

[tex]360-232=128[/tex]

Number 6:

[tex]77+123+86=286[/tex]

[tex]360-286=74[/tex]

Hope this helped!

Answer:

MP=150

Step-by-step explanation:

MP= MN+NP

6x+33=5+10x ( NQ is the diameter)

33-5=10x-6x

28=4x

x=28/4=7

MP= MN+NP

MP=6(7)+33+5+10(7)

MP=42+38+70

MP=150

Answer: [tex]\frac{8}{n^{3} }[/tex]

Step-by-step explanation:

 the quotient of 8  and the cube of a number is 8 divided by the number cubed  where n is the number.

Answer: All real no. are whole no.

Step-by-step explanation:

Because real no. consists of both rational and irrational no. but whole no. consists of only positive no, i.e. 0,1,2,3,.....

The value of x = 10 and y = 6 if the scale factor of A to B is 1:2.

Scale image is defined as a ratio that represents the relationship between the shape and size of a figure and the corresponding dimensions of the actual figure or object.

We have been given that the scale factor of A to B is 1:2.

Here one length of triangle A is 5 inch

For finding y, we have to divide 12 by 2

⇒ x = 12/2 = 6 inch

Here one length of triangle B is 12 inch

For finding x, we have to multiply 2 to 5

⇒ y = 2×5 = 10 inch

Therefore, the value of x = 10 and y = 6.

Learn more about the Scale images here:

brainly.com/question/13194929

#SPJ2

Answer: y = 60x, choice D

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

Explanation:

1 hour = 60 miles ... one way to represent the speed of 60 mph

x hours = 60x miles ... multiply both sides by x

After x hours, the cheetah has ran 60x miles. This is assuming the speed is kept the same at 60 mph.

The information about the 50 yards is never used. It's likely thrown in there as filler or as a distraction.

Answer:

15 times for it to be equal, 15+ to be cheaper

Step-by-step explanation:

135+2x=11x

135=9x

135/9=x

15=x

135+2(15)=165$

11(15)=165$

Answer:

16 times

Step-by-step explanation:

Create an inequality where x represents the number of times he rents out the court:

2x + 135 < 11x

Solve for x:

135 < 9x

15 < x

So, Tom would have to rent the court out 16 times for it to be cheaper

Answer:

Examples of a plane would be: a desktop, the chalkboard/whiteboard, a piece of paper, a TV screen, window, wall or a door. Examples of lines would be:

To solve such examples of we need to know about points, lines, and planes.

A Point can be described as an exact location in space but it has no size. A point is represented by a dot which shows the point in pictures and diagrams.

In the diagram, a line is represented by a capital letter with an arrow on the letters, such as [tex]\underset{AB}{\rightarrow}[/tex].

The examples of a point are a ball, a ball bearing, pin location on a map, etc.

A line is drawn when an infinite number of dots are connected together in both directions extended forever.

Examples of a line are a thread string, a wire, etc.

A plane is drawn when an Infinitely number of intersecting lines extend forever in all directions.

In the diagram, a point is represented by a dot with capital letters.

Examples of a plane are a blackboard, a movie screen, etc.

Learn more about point, lines, and plane:

https://brainly.com/question/1887287

Answer:

1:4

Step-by-step explanation:

Let it be:

then

----------

Amount of acid:

So the ratio of 30% solution to the 5% solution is 1:4

Answer:

  1 : 4

Step-by-step explanation:

For a problem of this nature, a simple diagram makes the solution trivially easy. In the attached, the constituent concentrations are listed on the left, the solution concentration is in the middle, and the numbers on the right are the differences along the diagonals. These are the ratios of the respective solutions on the left.

That is, the ratio of 30% solution to 5% solution is 5 : 20 or 1 : 4.

Answer:

7) refer to d=rt triangle so answer is t= d/r

8) rearrange by dividing so it should be PV/nR = T

9) move 5r to  other side which become 2p = q - 5r then divide by 2. final answer is p = q-5r/2

10) multiply both side by b/1 so b got cancel on left side

right side become c(b/1) which is same as cb

then you divide both side by c to isolate b on the right side

final answer is a/c=b

Answer:19

Step-by-step explanation: you would do 4x5 thats 20 then you would subtract one becasue 4-5=-1

Answer:23 mm

Step-by-step explanation:

add both 15 and 8 because they are as long as the one on the bottom

Answer:

70

Step-by-step explanation:

find the small unknown side by subtracting the two sides across from it. 12-7=5. add the 15 and 8 for the big unknown side. 15+8=23. add all the sides. 12+15+7+8+5+23=70

When solving polynomial equations, first set the equation

equal to zero, then check for a Greatest Common Factor.

Since there is no greatest common factor, this will make life a

little bit more difficult because we will have to factor the trinomial.

First, find all possible factors for constant term.

I have listed these in red below.

Make sure to reverse the factors since in each binomial,

the first term is different so we need to reverse the factors.

The factors of 5x² will just be 5x and z.

After finding factors for the constant and the leading

coefficient for your trinomial, we can eliminate some factors.

If you have an odd coefficient on the middle term,

you can eliminate any pairs of even factors.

So the group I crossed out in purple below will be eliminated.

Another strategy is to use factors a little closer together.

So I would go with the 4 and 3 group.

Surely enough, our trinomial does factor with the 4 and 3.

Now set the factored trinomial equal to 0.

Then use zero product property and you have your answer.

Answer:

-0.27

Step-by-step explanation:

5x^2=25x

25x+19x=44x

44x+12=0

     -12=0-12

44x=-12

44x/44=-12/44

x=-0.27

Answer:

Energy=Mass * the speed of light^2

Step-by-step explanation:

I'm not to sure how to explain this but I'll try my best.

Albert Einstein discovered this equation, E=mc^2.

The equation says that energy and mass (matter) are interchangeable; they are different forms of the same thing.

You could probably search up better explanations, tell me if this helps.

Answer:

the positive 17 is the problem. so it should be: -17 + (-31) = -48

Step-by-step explanation:

if 17 is positive, the equation is just: -14 = -48 (which isnt correct)

Answer:

3

Step-by-step explanation:

Answer: 3

Step-by-step explanation:

constant: a number that has no variable bounded to it (very lonely number)

---------------------

4x-2y+3

constant: 3 (it does not have any variable)

Hope this helps!! :)

Please let me know if you have any question or need further explanation

Answer:

8/5 because there are 5 people and 8 cookies

and the cookie monster is here too

Answer:

four

Step-by-step explanation:

2(4)=8

Answer:

On the y axis

Step-by-step explanation:

If x is zero, it automatically has to be on the y axis because x=0 is where the x and y axis intersect.