What is the slope of the line in the graph?


Slope = ______

Answer:

Step-by-step explanation:

5. m = 1/4

Equation: y = 1/4x + 2

6. m = 2

Equation: y = 2x – 3

7.  m = -1/8

Equation: y = -1/8x + 2

8. m = undefined

Equation: x = 0

Answer:

0.02

Step-by-step explanation:

divide the money by how much you have..

i dont know if its right but i hoped i helps

Answer:

$0.02 each lollipop

Step-by-step explanation:

divide $20 by quantity to get unit rate

20/1000 = 2/100 = 2 cents

Answer: 9b+4n+6d+7

Step-by-step explanation:

1. 9b+9+4n−4+6d+2

2. 9b+4n+6d+(9-4+2)

3. 9b+4n+6d+7

Question:

[tex]\frac{2tan30^{\circ}}{1 + tan^2(30^{\circ})}[/tex]

Answer:

[tex]\frac{2tan30^{\circ}}{1 + tan^2(30^{\circ})}[/tex][tex]= sin(60^{\circ})[/tex]

Step-by-step explanation:

Given

[tex]\frac{2tan30^{\circ}}{1 + tan^2(30^{\circ})}[/tex]

Required

Simplify

In trigonometry:

[tex]tan(30^{\circ}) = \frac{1}{\sqrt{3}}[/tex]

So, the expression becomes:

[tex]\frac{2tan30^{\circ}}{1 + tan^2(30^{\circ})}[/tex] [tex]= \frac{2 * \frac{1}{\sqrt{3}}}{1 + (\frac{1}{\sqrt{3}})^2}[/tex]

Simplify the denominator

[tex]\frac{2tan30^{\circ}}{1 + tan^2(30^{\circ})}[/tex] [tex]= \frac{2 * \frac{1}{\sqrt{3}}}{1 + \frac{1}{3}}[/tex]

[tex]\frac{2tan30^{\circ}}{1 + tan^2(30^{\circ})}[/tex] [tex]= \frac{\frac{2}{\sqrt{3}}}{1 + \frac{1}{3}}[/tex]

[tex]\frac{2tan30^{\circ}}{1 + tan^2(30^{\circ})}[/tex] [tex]= \frac{\frac{2}{\sqrt{3}}}{ \frac{3+1}{3}}[/tex]

[tex]\frac{2tan30^{\circ}}{1 + tan^2(30^{\circ})}[/tex] [tex]= \frac{\frac{2}{\sqrt{3}}}{ \frac{4}{3}}[/tex]

Express the fraction as:

[tex]\frac{2tan30^{\circ}}{1 + tan^2(30^{\circ})}[/tex][tex]= \frac{2}{\sqrt 3} / \frac{4}{3}[/tex]

[tex]\frac{2tan30^{\circ}}{1 + tan^2(30^{\circ})}[/tex] [tex]= \frac{2}{\sqrt 3} * \frac{3}{4}[/tex]

[tex]\frac{2tan30^{\circ}}{1 + tan^2(30^{\circ})}[/tex] [tex]= \frac{1}{\sqrt 3} * \frac{3}{2}[/tex]

[tex]\frac{2tan30^{\circ}}{1 + tan^2(30^{\circ})}[/tex] [tex]= \frac{3}{2\sqrt 3}[/tex]

Rationalize

[tex]\frac{2tan30^{\circ}}{1 + tan^2(30^{\circ})}[/tex] [tex]= \frac{3}{2\sqrt 3} * \frac{\sqrt{3}}{\sqrt{3}}[/tex]

[tex]\frac{2tan30^{\circ}}{1 + tan^2(30^{\circ})}[/tex] [tex]= \frac{3\sqrt{3}}{2* 3}[/tex]

[tex]\frac{2tan30^{\circ}}{1 + tan^2(30^{\circ})}[/tex] [tex]= \frac{\sqrt{3}}{2}[/tex]

In trigonometry:

[tex]sin(60^{\circ}) = \frac{\sqrt{3}}{2}[/tex]

Hence:

[tex]\frac{2tan30^{\circ}}{1 + tan^2(30^{\circ})}[/tex][tex]= sin(60^{\circ})[/tex]

Answer:

The volume of the Pyramid is 318.3 cubic foot

Step-by-step explanation:

Here, we want to calculate the volume of the Pyramid

Mathematically, the volume of the pyramid is the area of the square base multiplied by the height of the Pyramid.

Since the perimeter is 15.8 and the formula for the perimeter is 4L

we can get the length of the side of the square

The length of the side will be 15.8/4 = 3.95

The area of the square base is thus equal to;

3.95^2 = 15.6025 square feet

Now we can multiply this by the height

Mathematically, that will be;

15.6025 * 20.4 = 318.291 which is approximately 318.3 cubic foot

Answer:

106.1 ft

Step-by-step explanation:

Here,

R = 7y-4

S = 2y+6

T = ?

now,

R-S=T

7y-4+2y+6

7y+2y-4+6

9y+2

again,

R+T

7y-4+9y+2

15y-2

Therefore,

RT = 15y-2

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a)The segment bisector of RT will be 4.5y+1.

b)The value of RT will be 9y+2.

A segment bisector is a line, ray, line segment, or point that divides a line segment into two equal halves at its center. A line segment bisector divides a line segment into two equally sized pieces. It goes through the segments halfway. Line PQ in the image below serves as AB's bisector.

It is given that,

RS = 7y-4

ST = 2y+6

Lines or portions of lines that cut across the middle are known as segment bisectors. We designate the segments with segment marks when two segments are congruent. According to the midpoint formula, the midpoint for the endpoints (x₁,y₁) and (x₂,y₂) is ((x₁+x₂)/2,(y₁+y₂)/2).

We have to find the segment bisector of the RT.

RT = RS + ST

RT = 7y-4 + 2y+6

RT =9y+2

Thus, the value of RT will be 9y+2 and the segment bisector of RT will be 4.5y+1.

Learn more about the segment bisector here:

brainly.com/question/4137998

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Answer: $30

Step-by-step explanation:

John earns $15 and spends $7. The amount left for saving is;

= 15 - 7

= $8

He started with $22 so the new total is;

= 22 + 8

= $30

Answer:

15 bundles of roofing shingles

Step-by-step explanation:

Total bundles of roofing shingles = 29

He carries two bundles at a time

How many bundles are still on the ground after his seventh trip up the ladder?

First trip = 2 bundles of roofing shingles

Second trip = 2 bundles of roofing shingles

Third trip = 2 bundles of roofing shingles

Fourth trip = 2 bundles of roofing shingles

Fifth trip = 2 bundles of roofing shingles

Sixth trip = 2 bundles of roofing shingles

Seventh trip = 2 bundles of roofing shingles

Total bundles of roofing shingles carried in 7 trips = 2 + 2 + 2 + 2 + 2 + 2 + 2

= 14 bundles of roofing shingles

Bundles still on ground after 7 trips = Total bundles of roofing shingles - Total bundles of roofing shingles carried in 7 trips

= 29 - 14

= 15 bundles of roofing shingles

Answer:

.18

Step-by-step explanation:

What is a 18 percent tip by bill amount?

...

What's a 18% Tip on a $75 Bill?

Bill: $75.00

Tip: $13.50

Total: $88.50

sooooo 13.50 divided by 75.00 = .18

byeeeee :)

Answer:

The unit rate is 1/2 or 0.5 kilograms per foot

Step-by-step explanation:

In order to find the unit rate we have to divide the number of kilograms by the number of feet

Given information is:

1/3 kilograms : 2/3 foot.

Let u be the unit rate

The unit rate will be calculated as:

[tex]u = \frac{\frac{1}{3}}{\frac{2}{3}}[/tex]

When dealing with fractions

[tex]\frac{\frac{a}{b}}{\frac{c}{d}} = \frac{a}{b} * \frac{d}{c}[/tex]

So

[tex]u = \frac{1}{3} * \frac{3}{2}\\u = \frac{1}{2}[/tex]

Hence,

The unit rate is 1/2 or 0.5 kilograms per foot

Answer:

x=−6

Step-by-step explanation:

4x−5=x−23

Step 1: Subtract x from both sides.

4x−5−x=x−23−x

3x−5=−23

Step 2: Add 5 to both sides.

3x−5+5=−23+5

3x=−18

Step 3: Divide both sides by 3.

3x /3=-18/3

x=-6

Answer:

1. x = 3

2. p = -3

3. a = 4

4. n = -2

5. g = 2

6. k = -18

7. s = 18

8. c = -8

9. a = -6

10 v = 9

Answer:

3a=4.5

Step-by-step explanation:

it says that "a is equal to 3 times b", which translates to a=3b

We can substitute a as 3b in 2a+4b=5

2(3b)+4b=5

multiply

6b+4b=5

add

10b=5

divide by 10

b=1/2

since it's given that a=3b, we can multiply 1/2 by 3

a=3/2

3a is 3 times a, so we can mutiply 3(3/2)=9/2=4.5

Hope this helps!

Answer:

22.47 in of fabric on headbands

8.51 in of fabric on wristbands

Step-by-step explanation:

Step one:

given data

the total amount of person players plus coaches= 32+2= 34

for each person she uses = 763.98/32= 22.47 in of fabric on headbands

She also uses 272.32 inches of fabric on wristbands for just the players

For each player, she will use= 272.32/32= 8.51 in of fabric

Hence for each player, she used

22.47 in of fabric on headbands

8.51 in of fabric on wristbands.

Answer:

soooo u do dis and dat and OPE lookit the time

Dum Step-by-step explanation:

looks like its time to act dum ayy friend me. im givin out free points every weekday. if its friday, i do it every hour, called free point friday. check me out.

Answer:

14/3(I believe you mean improper fraction)

Step-by-step explanation:

4 mutiply 3 plus 2

Answer:

$15.25

Step-by-step explanation:

You divide 610 and 40 and the will get

$15.25

Because you wanna know how much does he get per hr

Answer:

35 books

Step-by-step explanation:

40*3=120

120-85=35

Answer:

12 1/2

Step-by-step explanation:

Answer:

12 pieces and 1/5 is left over

Step-by-step explanation:

9514 1404 393

Answer:

  see attached (black dot)

Step-by-step explanation:

We assume you want to plot (r, θ) = (-3, -π/3), where the angle is in radians.

The basic idea is to locate the ray that is in the direction -π/3 radians, then go 3 units in the opposite direction. The point (3, -π/3) is identified in the attached graph by a red circle. Its reflection across the origin is how you plot the point for a negative radius. That reflected point is the black dot.

The equivalent coordinates are ...

  (r, θ) = (-(-3), -π/3+π) = (3, 2π/3)

Answer: Find the equation of a line with a given slope and containing the given point. Write the equation in slope-intercept form.

m = − 3/4, point (8, −4)

Find the equation of a line with a given slope and containing the given point. Write the equation in slope-intercept form.

m = − 7/2, point (−8, −4)

Find the equation of a line with a given slope and containing the given point. Write the equation in slope-intercept form.

m = −6, point (−1, −4)

Find the equation of a line with a given slope and containing the given point. Write the equation in slope-intercept form.

a horizontal line containing (−3, -5). #2

avatar+51

+2

I'm going to answer the solution in Point-Slope and Slope-Intercept.

Slope - Intercept form is this: y = mx + b

We know that (x, y) is a point on the line, m is the slope, and b is the y-intercept.

From the given information we have that it has a slope of 2 (m = 2), and one of the points on the line is (3, 9) which means that (x = 3, y = 9)

Plugging in we get:

y = mx + b

9 = 2*3 + b

9 = 6 + b

b = 3

Therefore the y-intercept is 3. After having this information we can construct our equation.

We now have to put this in the point-slope form which is: (y - y1) = m(x - x1)

Transferring what we had before we can plugin and get y - 9 = 2(x - 3)

Comment down if you have any queries or any questions on the solution. Tell me as soon as possible. Good luck in your Algebra Pursuit!! :)

Enjoy!! I put the answer in both point-slope and slope-intercept if you haven't noticed!! :)

So our answer is:

y - 9 = 2(x - 3)​.

Answer:

m=8

Step-by-step explanation:

Answer:

2(2 + 3) = 2(2) + 2(3)

Step-by-step explanation:

The first one shows the associative property.

In the second one, the paranthesis is being solved first, therefore the rule of PEMDAS is being applied.

The last one displays the commutative property.

Answer:

2(2 + 3) = 2(2) + 2(3)

Step-by-step explanation:

Answer:

x (total number of hours) = 15

Step-by-step explanation:

Total number of hours = 15

Let the hours spent tutoring french be x.

Therefore hours spent on scooping ice cream = (15 - x)

Amount:    Tutoring french is $15 an hour, total for x hours = 15x

For scooping ice cream  it is $10 an hour   10*(15 - x) = 150 - 10x

To make more than $180

15x  + (150 - 10x)  > 180

15x + 150 - 10x > 180

15x - 10x > 180 - 150

5x > 30

x > 30/5

x > 6

So he needs to tutor more than 6 hours in order to make more than $180

Answer:   B

Step-by-step explanation:Because you look at the the value place and make sure it is under zero and also make sure it is in the correct spot.

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Given that,

Length of a rectangular courtyard = (3x+5)

Width of a rectangular courtyard = (2x-3)

To find,

The expression for area of the courtyard.

Solution,

The area of the rectangular shaped object is given by :

A = lb

Substituting all the values,

A = (3x+5) (2-3)

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

= 6x-9x+10-15

= -3x-5

So, the area of the courtyard is (-3x-5).

By direct calculation (multiplying the two given linear polynomials) we will see that the expression that represents the area is:

A = 6x^2 + x - 15

We know that the area of a rectangle of width W and length L is given by:

A = W*L

Here we know that:

L = 3x + 5

W = 2x - 3

Now we can just replace these in the area equation to get:

A = (3x + 5)*(2x - 3) = 6x^2 + 10x - 9x - 15

A = 6x^2 + x - 15

This is the expression that represents the area of the courtyard.

If you want to learn more, you can read:

https://brainly.com/question/2295917

Answer: i think it may be b

Step-by-step explanation:

Answer:

69 xD Funny LOL GeT ReKt

Step-by-step explanation: