. Mr. Sanders sells boats and works on commission only, with no base salary. He earned
$4,500 on the sale of a $27,000 boat.
This commission income for a sale is based on a constant rate of change for his pay at
the company.
If the relationship between his sales in dollars and his commission in dollars is
graphed, it would form a straight line. What would be the slope of this line?

Answers

Answer 1

Answer:

slope =

; Mr. Sanders earns $1 commission for each $6 dollars in sales

Step-by-step explanation:

no steps needed


Related Questions

Hector's family went to the beach. They got to the beach at 11:00 A.M. and swam in the ocean for 1 hour. Then they built sandcastles for 1 hour and 30 minutes and played volleyball for 1 hour before heading home. What time was it when Hector's family left the beach?

Answers

Answer:

They left the beach at 2:30

Step-by-step explanation:

Your school district cancels school when at least 3 inches of snow accumulate on the ground each hour. Snow is currently accumulating at a rate of 3/2 inches per hour. Select an inequality that represents the extra snow accumulation s (in inches per hour) needed to cancel school.

Answers

Answer:

x > 2

Step-by-step explanation:

x is the hours of accumulation.

3/2 *2 = 3

Two friends went to Best Buy and bought Pokemon cards and baseball cards. Each Pokemon card was the same price and each baseball card was the same price. The first friend paid $12 for 14 pokemon cards and 5 baseball cards. The second friend paid $24.80 for 10 pokemon cards and 15 baseball cards. What was the cost of each baseball card?


A.

$1.42


B.

$0.35


C.

$ 1.15


D.

$0.63

Answers

A, $1.42. i found this answer plugging in 1.42 and seeing if it would work or not

"-3 = 9/5c + 32" help with finding c pls!! i need it as a decimal btw.

Answers

Answer:

-3=9/5c +32

-3*5c=9/5c*5c+32*5c

-15c=9+160c

-15c -160c =9

c(-15-160)=9

c(-15-160)/(-15-160)=9/(-15-160)

c=9/(-15-160)

Points X and Z are on a number line, and point Y partitions

line XZ into two parts so that the ratio of the length of line

segment XY to the length of line segment YZ is 5:7. The

coordinate of X is 0.4, and the coordinate of Y is 5.8. What

is the coordinate of Z?

Answers

Answer:

The coordinate of [tex]Z[/tex] is 13.36.

Step-by-step explanation:

According to the statement, we have the following information:

[tex]\frac{XY}{XZ} = \frac{5}{12}[/tex] (1)

[tex]\frac{YZ}{XZ} = \frac{7}{12}[/tex] (2)

[tex]X = 0.4[/tex] (3)

[tex]Y = 5.8[/tex] (4)

From (2), we have the following expression:

[tex]YZ = \frac{7}{12}\cdot XZ[/tex]

[tex]Y-Z =\frac{7}{12}\cdot (X-Z)[/tex]

[tex]Y - Z = \frac{7}{12}\cdot X -\frac{7}{12}\cdot Z[/tex]

[tex]Y-\frac{7}{12}\cdot X = Z-\frac{7}{12}\cdot Z[/tex]

[tex]\frac{5}{12}\cdot Z = Y-\frac{7}{12}\cdot X[/tex]

[tex]5\cdot Z = 12\cdot Y-7\cdot X[/tex]

[tex]Z = \frac{12}{5}\cdot Y-\frac{7}{5}\cdot X[/tex] (5)

If we know that [tex]Y = 5.8[/tex] and [tex]X = 0.4[/tex], then the coordinate of [tex]Z[/tex] is:

[tex]Z = \frac{12}{5}\cdot (5.8)-\frac{7}{5}\cdot (0.4)[/tex]

[tex]Z = 13.36[/tex]

The coordinate of [tex]Z[/tex] is 13.36.

100 pointsssss!!
what are the pointsss???? Graph the function.

f(x)=−15x+4

Answers

Answer:

Step-by-step explanation:

I'd suggest you find the two intercepts and draw a line through them.

y-intercept:  value of y when x = 0.  Here, f(0) = -15(0) + 4, so the y intercept is the point (0, 4).

x-intercept:  value of x when y = 0.  Letting f(x) = y = 0, we get

0 = -15x + 4, so that 15x = 4, and x = 4/15.  The x-intercept is (4/15, 0).

Plot the points (0, 4) and (4/15, 0) and draw a line thru them.

your graph would look like this :)

An equation is shown below:
4(2x - 5) + 15 = 11
Write the steps you will use to solve the equation and explain each step. (5 points)

Answers

multiply 4 with (2x-5)
8x-20+15=11
add 20 both sides
8x+15=31
subtract 15 both sides
8x=16
divide both sides by the x (8)
x=2

3x - 2y + 5z = 2
4x - 7y - z = 19
5x - 6y + 4z =13

Answers

(x=1) (y= -2) (z= -1)

On a flight from New York to London, an airplane travels at a constant speed. An equation relating the distance traveled in miles, , to the number of hours flying, , is . How long will it take the airplane to travel 800 miles?

Answers

Complete question :

On a flight New York to London an airplane travels at a constant speed. An equation relating the distance traveled in miles d to the number of hours flying t is t= 1/500d. How long will it take the airplane to travel 800 miles?

Answer:

1.6 hours

Step-by-step explanation:

Given the function :

Time t taken for flying distance d is given by:

t = 1/500 * d

Tine taken to fly 800 miles;

d = 800 miles

t = 1/500 * (800)

t = 800 / 500

t = 1.6

Hence, time t = 1.6 hours

Now that you have had a chance to read excerpts from Anne Frank’s diary and the play version of it, which do you prefer? Why?

Answers

Answer:

Reading it because you could really imagine and get the feel of it inside your head and almost feel like you are here

Step-by-step explanation:

I would prefer the play version of excerpts from Anne Frank's Diary over reading excerpts.

Who is Anne frank?

Annelies Marie "Anne" Frank was a German-born Jewish girl who kept a diary in which she documented life in hiding under Nazi persecution. She is a celebrated diarist who described everyday life from her family hiding place in an Amsterdam attic.

Given are excerpts from Anne Frank's diary and play version.

I would prefer the play version of excerpts from Anne Frank's Diary as watching a play is better than reading because the characters come to life, as does the way they relate to and interact with each other.

Therefore, i would prefer the play version of excerpts from Anne Frank's Diary over reading excerpts.

To solve more questions on Anne Frank's Diary, visit the link below -

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PLZ Someone help
Find the measure of angles 3 and 4

Answers

Answer:  3 =92

               4 = 88

Step-by-step explanation: because angle 4 = 180-42+46 = 92 and angle 3 is 180-92 = 88

Answer:

∠3=88 , ∠4=92

Step-by-step explanation:

∠4 + 42° + 46° = 180° (angle sum property of a triangle)

∠4 + 88° = 180°

∠4 = 180° - 88°

∠4 = 92

∠3 + ∠4 = 180° (linear pair)

∠3 + 92° = 180°

∠3 = 180° - 92°

∠3 = 88°

how many terms of the AP: 24,21,18 must be taken so that thier sum is 78?

Answers

First term, a = 24
common difference, d = 21-24 = -3
let the number of terms to get sum 78 is n.

S_n=78\\ \\ \Rightarrow \frac{n}{2}(2a+(n-1)d)=78\\ \\ \Rightarrow \frac{n}{2}(2 \times 24+(n-1)(-3))=78\\ \\ \Rightarrow n(48-3n+3)=78 \times 2\\ \\ \Rightarrow -3n^2+51n-156=0\\ \\ \Rightarrow 3n^2-51n+156=0

Solving the quadratic equation, we get n=4 and n=13.
So you can take either 4 terms or 13 terms to get the sum 78.

Total element of a set for Consideration as called____
(a) Sub-set
(b) Intersection
(c) Universal set
(d) Disjoint set​

Answers

Answer:

Universal set

Step-by-step explanation:

A universal set is a set which contains all the elements or objects of other sets, including its own elements. It is usually denoted by the symbol 'U'. Therefore, Set U has all the elements of Set A and Set B. ...

Your school wants to test the fire alarm system during the two hour period between 9:00 a.M. And 11:00 a.M. The probability of testing the fire alarm during this period is uniformly distributed that is X∼U(0,120). Find the probability that you have to wait more than 30 minutes, that is, find P(X>30).

Answers

Answer:

The probability is [tex]P(X>30)=0.75[/tex]

Step-by-step explanation:

We know that the probability of testing the fire alarm during this period is uniformly distributed that is [tex]X[/tex] ~ [tex]U(0,120)[/tex].

We need to find [tex]P(X>30)[/tex]

Given a continuous random variable [tex]X[/tex] with distribution :

[tex]X[/tex] ~ [tex]U(a,b)[/tex] , where ''[tex]a[/tex]'' and ''[tex]b[/tex]'' are real numbers

The probability density function is :

[tex]f_{X}(x)=\frac{1}{b-a}[/tex]    if x ∈ (a,b)

[tex]f_{X}(x)=0[/tex]  if x ∉ (a,b)

In the exercise we have [tex]X[/tex] ~ [tex]U(0,120)[/tex] , therefore the probability density function is :

[tex]f_{X}(x)=\frac{1}{120}[/tex] if x ∈ (0,120)

[tex]f_{X}(x)=0[/tex] if x ∉ (0,120)

If we want to find [tex]P(X>30)[/tex] we need to perform the integral

[tex]\int\limits^i_d {f_{X}(x)} \, dx[/tex]

Where [tex]d=30[/tex] and ''[tex]i[/tex]'' represents + ∞

Now, given that [tex]f_{X}(x)[/tex] is 0 when x ∉ (0,120), we will need to integrate between 30 and 120 to find the probability.

If we perform this integral ⇒

[tex]\int\limits^e_d {\frac{1}{120}} \, dx[/tex]

Where [tex]d=30[/tex] and [tex]e=120[/tex] ⇒

[tex]\int\limits^e_d {\frac{1}{120}} \, dx=\frac{3}{4}=0.75[/tex]

Rewrite x^2+16x-36 in factored form

Answers

Answer: (x-2)(x+18)


Two numbers that multiply to -36 and also add to 16 are (-2) and (18).

Three classes of 26 students each sign up for a field day. Teams can have no more
than 9 students. How many teams are full? How many students are on the last team?

Answers

Answer:

2 teams are full and the last team has 8 members

Step-by-step explanation:

Simple subtraction 26-9=17 so theres one team, then 17 minus 9 is 8 so there is another team so the awnser is 2 and 8/9

Pick A Random Number Between 1-40 if i pick your number and you get it right then you get brainliest.

Answers

Answer:

32

Step-by-step explanation:

Find the value of that makes m ll n.

Answers

Answer: x = 108

Step-by-step explanation: In this problem, we're given a diagram and

we're asked to find the value of x that would make m ll n.

We can see that the angles that are marked in the diagram

are same-side interior angles since they lie on the same side

of the transversal and they lie on the interior of lines m and n.

Therefore, in order for line m to be parallel to line n,

these angles must be supplementary.

In other words, they must add to 180 degrees.

So we can setup the equation x + 72 = 180.

Subtracting 72 from both sides gives us x = 108.

So the value of x that would make line m ll n is 108.

A rectangle has a length of 31 inches less than 3 times its width. If the area of the rectangle is 984 square inches, find the length of the rectangle.

Answers

Answer:

41 inches

Step-by-step explanation:

The formula for Area of a rectangle is ;

A = L × W

L = Length

W = Width

A rectangle has a length of 31 inches less than 3 times its width.

L = 3W - 31

If the area of the rectangle is 984 square inches, find the length of the rectangle

Hence,

984 = (3W - 31) × W

984 = 3W² - 31W

Hence

3W² - 31W - 984

3W(W - 24) + 4(W - 24) = 0

(3W + 41)(W - 24) = 0

W - 24 = 0

W = 24 inches

We have to find the Length

L = 3W - 31

L = 3(24) - 31

L = 72 - 31

L = 41 inches

The Length = 41 inches

The Length of the rectangle is 41 inches

The NBA regulations require that the court be 132 feet long. If 1 meter = 3.3 feet, how long is the basketball court in meters?

Answers

132 feet divided by 3.3 feet = 40 meters

Answer : 40 meters
The answer is 40 meters ,you divide 132ft by 3.3ft which is 1 meter and you’ll get 40 meters .

Multiply mixed numbers 5 times 1 3/4=

Answers

Answer: 8.75 is your answer

Answer:

8 3/4

Step-by-step explanation:

What’s that answer for
9xr -8
80

Answers

144+ 18x=360

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

the soloutions to the equation 2x^2 + x - 1 = 2 are x= -3/2 or x=___

Answers

9514 1404 393

Answer:

  x = 1

Step-by-step explanation:

Subtracting 2 puts the equation in standard form:

  2x^2 +x -3 = 0

The product of the solutions is the ratio of the constant term to the leading coefficient: -3/2.

For solutions -3/2 and 'p', we have ...

  -3/2p = -3/2

  p = 1

The other solution is x = 1.

The slope of the line that passes through the points (9, 11) and (3,6) is what

Answers

Formula for slope (m) is:

(y2 - y1) / (x2 - x1)

Our points are (9, 11) and (3, 6).

Therefore we can determine:

y2 = 6
y1 = 11
x2 = 3
x1 = 9

Substitute these into the formula:

(y2 - y1) / (x2 - x1)

(6 - 11) / (3 - 9)

Solve:

(6 - 11) / (3 - 9)

-5 / -6

Reduce the fraction with -1:

Slope (m) = 5 / 6

The equaiton of the line is y = (5/6)x + 7/2. Then the slope of the line is 5/6.

What is a linear equation?

A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.

The linear equation is given as,

y = mx + c

Where m is the slope of the line and c is the y-intercept of the line.

The two points are (9, 11) and (3, 6).

The equation of the line that passes through (9, 11) and (3, 6) will be given as,

(y - 6) = [(11 - 6) / (9 - 3)](x - 3)

y - 6 = (5/6)(x - 3)

y - 6 = (5/6)x - 5/2

y = (5/6)x + 7/2

The equaiton of the line is y = (5/6)x + 7/2. Then the slope of the line is 5/6.

More about the linear equation link is given below.

https://brainly.com/question/11897796

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PLEASE HELP ME ASAP!!

Answers

i believe the rate of change is 11 :)
the rate change is 11:)

GIVING BRAINLYYY write the equation of this line

Answers

the equation would be y= 5/2x-2

I need help, fast- please-

Answers

Answer:

since she subtracted 15 5 time a total of 5 rafts are needed

Step-by-step explanation:

Gurl this is 6th grade math and I’m still dumb Enough to not know it

Answers

Answer:

false, false, true

Step-by-step explanation:

0 times anything is always 0. 7 with an exponent of 3 is never 7*3, it's 7*7*7. for the last one, 2*2*2*2 is 16 and so is 4*4. lol im pretty dumb too tbh

Abiodun and Taiwo share 735 naira between them so that Abiodun gets 75naira than taiwo. Find how much money each get​

Answers

Equations:

A + T = 735 naira

A = T + 95

A + T = 735

A - T = 95

Add and solve for A:

2A = 830

A = 415 naira

T = 735-415 = 320

Abiodun and Taiwo got 415 & 320 naira , respectively.

What is addition?

Addition is a way of combining things and counting them together as one large group. ... Addition in math is a process of combining two or more numbers.

here, we have,

Abiodun and Taiwo share 735 naira between them so that Abiodun gets 75naira than taiwo.

now, we get

A + T = 735 naira

A = T + 95

A + T = 735

A - T = 95

Add and solve for A:

2A = 830

A = 415 naira

T = 735-415 = 320naira

Hence, Abiodun and Taiwo got 415 & 320 naira , respectively.

To earn more on addition click:

brainly.com/question/29560851

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I need help with 14. you have to simplify the expression and then your answer will reveal a letter on the right hand side​

Answers

Answer:14 is H

Step-by-step explanation:

Answer:

3x+21 (H)

Step-by-step explanation:

9-3(3x-4)+12x

9-(9x-12)+12x

9-9x+12+12x

(9+12)+(-9x+12x)

21+3x or 3x+21

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