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Fudgin [204]
3 years ago
9

Rosalee works as a sales representative for a furniture manufacturer and gets paid a commission of 4.5% of the amount of merchan

dise that she sells. Last week her sales totaled 4000. How much is her commission?
Mathematics
1 answer:
svet-max [94.6K]3 years ago
8 0

Answer:

$180

Step-by-step explanation:

Since,

Commission = amount sales x commission %

Commission = 4,000 x 4.5%

Commission = $180

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Terrence graphs the two equations below on the same coordinate plane.
Vsevolod [243]

Answer:

you maybe can install app photomath

6 0
3 years ago
Which system of inequalities is represented by the graph?
timofeeve [1]

Answer:

The system of inequalities " x + 2 y ≤ 5 and 3 x + y ≤ 4 " is represented by the graph ⇒ D

Step-by-step explanation:

To find the answer let us find the equation of each line

Blue line:

∵ The line passes through points (5 , 0) and (0 , 2.5)

- Find the slope of the line

∵ m = Δy/Δx

∴ \frac{0-2.5}{5-0}=\frac{-2.5}{5}

∴ m = -0.5

- The form of the equation is y = m x  + b, where b is the

   y-intercept (value y at x = 0)

∵ y = 2.5 at x = 0

∴ b = 2.5

- Write the equation of the line

∴ y = - 0.5 x + 2.5

- Multiply both sides by 2

∴ The equation of the blue line is 2 y = - x + 5

- The shading is under the line and the line is solid, that means

  2 y is less than or equal - x + 5

∴ The inequality of the blue line is 2 y ≤ - x + 5

Red line:

∵ The line passes through points (3 , -5) and (0 , 4)

- Find the slope of the line

∴ m=\frac{-5-4}{3-0}=\frac{-9}{3}

∴ m = -3

∵ y = 4 at x = 0

∴ b = 4

- Write the equation of the line

∴ y =  -3 x + 4

∴ The equation of the red line is y = -3 x + 4

- The shading is below the line and the line is solid, that means

  y is less than or equal -3 x + 4

∴ The inequality of the red line is y ≤ -3 x + 4

Let us find which answer is the same with this system of inequalities

∵ 2 y ≤ - x + 5

- Add x to both sides

∴ x + 2 y ≤ 5 ⇒ same as the first inequality of answer D

∵ y ≤ -3 x + 4

- Add 3 x to both sides

∴ 3 x + y ≤ 4 ⇒ same as the second inequality of answer D

The system of inequalities " x + 2 y ≤ 5 and 3 x + y ≤ 4" is represented by the graph

4 0
3 years ago
What is the median of this data set? 100,102,103,106,109
liq [111]

The answer is 103 because it’s in the “middle”

3 0
3 years ago
Read 2 more answers
I’m so stupid I don’t know
adell [148]

Answer:

I am stupid too, so forgive me if I am wrong.ಥ_ಥ

I am pretty sure the correct answer is D since 2 can be multiplied by 3 to get 6, and 3 can be multiplied by 3 to get 9. Thus, if the number of guitars is multiplied by 3, the number of amps will always be a multiple of 3.

4 0
3 years ago
Six times a number increased by 20 is four less than eight times the number. Find the number
DaniilM [7]
Greetings!

"<span>Six times a number increased by 20 is four less than eight times the number. Find the number."...

This would be, as an equation:
</span>6x+20=8x-4

Solve:
Add 4 and -6x to both sides.
(6x+20)+4+(-6x)=(8x-4)+4+(-6x)
Simplify.
24=2x
Divide both sides by 2.
(24)/2=(2x)/2
Simplify.
12=x
x=12
<span>
x=12

Hope this helps.
-Benjamin

</span>
4 0
3 years ago
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