Audrey sells closet organization systems. She is paid a commission of 5.14% of her first $1500.00 in sales during the week and 10% on all sales over $1500.00. What is her commission in a week during which she sells $7500.00 worth of closet organization systems?

Answer:

k = 3/4

Step-by-step explanation:

Parallel lines have the same slope so first, we need to find the slope of 8x + 6 = 2y. To do so, we can do the following:

8x + 6 = 2y

2y = 8x + 6

y = 4x + 3 (This is now in slope intercept form - y = mx + b where m = slope and b = y-int.)

Therefore, the slope is 4. Now, we can do:

3x = ky - 10

3x - 10 = ky

(3x / k) - (10 / k) = y

y = (3x / k) - (10 / k)  (where k ≠ 0)

Now that the second line is in slope-intercept form, we can set the two x terms equal to each other, therefore:

3x / k = 4x

3x = 4x * k

3x / 4x = k

k = 3/4

Answer:

2x5-4x2-25

Step-by-step explanation:

First you distribute the negative sign to the second equation which makes each number it's opposite

Which would result in 4x5-13x2-10-2x5+9x2-15

Then you combine like terms and get 2x5-4x2-25

Answer:

-23

Step-by-step explanation:

Answer:

144

Step-by-step explanation:

Subtract 2 from 7 to get 5.

5×24+34−10=144

Multiply 5 and 24 to get 120.

120+34−10=144

Add 120 and 34 to get 154.

154−10=144

Subtract 10 from 154 to get 144.

The result of the given expression is 144

Expression has different terms separated by mathematical signs

Given the expression

(7−2)24+34−10

Using the PEDMAS rule

Parethesis first to have:

(7−2)24+34−10

= 5(24) + 34 - 10

Followed by multiplication

= 120 + 34 - 10

Then followed by Addition

= 154 - 10

Finally subtraction

154 - 10 = 144

The result of the given expression is 144

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Answer:

v=16/3

Step-by-step explanation:

3(2v-9)=5

Multiply 2v and -9 with 3

6v-27=5

Add 27 to both sides

6v=32

Divide both sides by 6

v=16/3

Answer:

4 playlists

:)

Answer:

1408.5 acres

Step-by-step explanation:

If 55% of the land is federally owned, then 100 - 55 = 45% of the land is not federally owned.

We need to find how many acres are not federally owned, in other words, we need to find how many acres represent 45% of the total 3129 acres. So, to do this we can apply a rule of three:

3129 acres ---- 100%

x acres     ------ 45%

[tex]x=\frac{(3129)(45)}{100} =3129(0.45)= 1408.05[/tex]

Therefore, the total of acres that are not federally owned are 1408.5 acres.

Answer:

x=-3/5

Step-by-step explanation:

3(x + 5) = 2(4x + 9) ​

First, distribute:

3(x)+3(5)=2(4x)+2(9)

3x+15=8x+18

-5x= 3

x= -3/5

Answer:

3.85 + 6.29 = 10.14

Hoped I helped

Step-by-step explanation:

3.85+6.29= 10.14

thank

Answer:

78

Step-by-step explanation:

Mode = number that appears most in a set of numbers

The number that appears the most in this set is 78. So, the mode is 78. Hope it helps!

Answer:

Step-by-step explanation:

arrange in ascending order

39,43,43,50,55,61,75,78,78,78

mode=78

Answer:

0.85x - $50

Step-by-step explanation:

Given that :

Brandon wants to buy a new bike. The model he likes is on sale for 15% off its original price. His parents agree to pay for $50 of the cost. If the original cost of the bike is x dollars, which of the expressions below represent the amount Brandon has to pay

Discount on price = 15%

Amount parents agreed to pay = $50

Cost of bike = x

Discount on bike = 0.15x

Cost after discount is removed = (x - 0.15x) = 0.85x

Parent pays $50 of cost price, amount Brandon will have to pay equals :

(0.85x - $50)

Answer:

0.85x - $50

Step-by-step explanation:

Answer:

[tex]\bold{\dfrac{6}{7}}[/tex]

Step-by-step explanation:

Given ratio is:

8 gal to [tex]9\frac{1}3[/tex] gal

To find:

Ratio in Lowest form with whole numbers in numerator and denominator.

Solution:

First of all, let us convert [tex]9\frac{1}3[/tex] to simple [tex]\frac{p}{q}[/tex] form:

Formula:

[tex]a\dfrac{b}{c} = \dfrac{a\times c+b}c[/tex]

Using the formula, we get:

[tex]9\dfrac{1}{3} = \dfrac{9\times 3+1}{3} = \dfrac{28}{3}[/tex]

Now, let us have a look at the ratio:

[tex]8 : \dfrac{28}{3}[/tex]

Any ratio, [tex]p:q[/tex] can be written as [tex]\frac{p}{q}[/tex].

Writing given ratio as per above:

[tex]\dfrac{8}{\dfrac{28}{3}}\\\Rightarrow \dfrac{8 \times 3}{28}\\\Rightarrow \dfrac{2\times 3}{7}\\\Rightarrow \bold{\dfrac{6}{7}}[/tex]

Therefore, the answer is

[tex]\bold{\dfrac{6}{7}}[/tex]

Answer:

<abc=14

Step-by-step explanation:

<abc= 14 ; because if the whole thing is 90 and <CBD is already 76 then you subtract 90-76 to get the rest of the angle which is 14 degrees

Answer: The donated $18

Step-by-step explanation:

If each jacket cost $150  then multiply 150 by 4 to find out the total that the store received.

150 * 4 = 600  

Now find 3% of 600 to find out how much they donated to the charity.

3% * 600 = $18

Answer:

Angle A is 30

Angle B is 150

Step-by-step explanation:

So we have the supplementary angles A and B. In other words:

[tex]A+B=180[/tex]

We are also told that Angle B is 30 more than four times Angle A. In an equation, this is:

[tex]B=30+4A[/tex]

We now have a system of equations. Solve by substitution of B into the first equation:

[tex]A+B=180[/tex]

[tex]A+(30+4A)=180[/tex]

Combine like terms:

[tex]5A+30=180[/tex]

Subtract 30:

[tex]5A=150[/tex]

Divide by 5:

[tex]A=30[/tex]

So, Angle A is 30 degrees.

And since the angles are supplementary, this means that Angle B is 180 minus 30 or 150 degrees.

Answer:

The scalar used does not exist in the real number system.

Step-by-step explanation:

The ratio 16:14 is not equivalent to the ratio 64:60 because the scalar used does not exist in the real number system.

Note, that the ratio 64:60 can be scaled down by 4 to be the ratio 16:15, which is not the ratio 16:14.

In order to scale 64:60 to 16:14 or vise versa, you'd have to use a number that simply does not exist in the real number system.

Cheers.

Step-by-step explanation:

x2 + 10x + 25

x2 + 5x + 5x + 25

x(x + 5) + 5(x + 5)

(x + 5)(x+ 5) are the factors

x2 - 36

Both are squares so

x2 - (4)2

Answer:

[tex]\Huge \boxed{-50}[/tex]

Step-by-step explanation:

25 is subtracted from -25.

[tex]\Rightarrow -25-25 \\ \\ \\ \Rightarrow -50[/tex]

The value is -50.

Answer:

[tex]g( x) = \frac{2}{3}x[/tex]

Step-by-step explanation:

Given:

Composite Function:

[tex]h( x)=f( g( x))[/tex]

Also,

[tex]h( x)=\frac{4}{3}x-1[/tex]

To find:

[tex]g( x ) = ?[/tex]

Solution:

First of all, let us learn about a composite function.

Composite function [tex]f( g( x))[/tex] means to write [tex]g( x)[/tex] in place of [tex]x[/tex] in the function [tex]f( x)[/tex].

Let [tex]g( x) = y[/tex]

So, [tex]f( g( x))[/tex] =  [tex]f( y )[/tex].

Therefore,

[tex]h( x) =f( g( x)) = f( y)[/tex]

So, [tex]f( y) = 2y-1[/tex]

We have to solve for [tex]y[/tex] in terms of [tex]x[/tex] to find the value of [tex]g(x)[/tex]:

[tex]\Rightarrow \frac{4}{3}x-1 = 2y-1\\\Rightarrow 2y=\frac{4}{3}x\\\Rightarrow y = \frac{2}{3}x[/tex]

Hence, the answer is [tex]g( x ) = \frac{2}{3}x[/tex].

Checking whether the answer is correct or not:

[tex]f( g( x)) = f( \frac{2}{3}x) = 2\times \frac{2}{3}x -1 = \frac{4}{3}x-1[/tex]

which is [tex]h( x)[/tex].

Hence, our answer [tex]g( x ) = \frac{2}{3}x[/tex] is correct.

The g(x) of the function is:

g(x) = (2/3)x

A function is a relationship between inputs where each input is related to exactly one output.

Every function has a domain and codomain or range. A function is generally denoted by f(x) where x is the input.

We have:

h(x) = (4/3)x - 1

h(x) = f(g(x))

f(x) = 2x - 1.

Thus, we can say:

h(x) = f(g(x)) = 2*g(x) - 1

(4/3)x - 1 = 2g(x) - 1

(4/3)x - 1 + 1= 2g(x)

(4/3)x = 2g(x)

(4/3)x * 1/2 = g(x)

(2/3)x = g(x)

g(x) = (2/3)x

Therefore, g(x) = (2/3)x.

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Step-by-step explanation:

I try my best I not a math expert

Answer:

It would be losing 300.

Step-by-step explanation:

The opposite of gaining is losing the integer would be -300

Answer:

-300

Step-by-step explanation:

Answer:

no

Step-by-step explanation:

Answer: 14

Step-by-step explanation: 9 small squares with one teddy bear in each, 4 medium squares with 4 bears in each medium square, and 1 big square for the entire thing.

The total number of square is 14

In the counting of figures, you have a shape or a figure. From the given shape you will have to identify a given known shape and count the number of times it is present in the given shape.

According to the question

9 small squares with one teddy bear in each,

4 medium squares with 4 bears in each medium square.

1 big square for the entire thing.

Total square = 9 + 4 + 1

                     = 14

Hence, the total number of square is 14

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Answer:

x =-19

Step-by-step explanation:

[tex]-4(x + 1) - 3 = -3(x - 4).\\\\\mathrm{Expand\:}-4\left(x+1\right)-3:\quad -4x-7\\\\\mathrm{Expand\:}-3\left(x-4\right):\quad -3x+12\\-4x-7=-3x+12\\\\\mathrm{Add\:}7\mathrm{\:to\:both\:sides}\\-4x-7+7=-3x+12+7\\\\Simplify\\-4x=-3x+19\\\\\mathrm{Add\:}3x\mathrm{\:to\:both\:sides}\\-4x+3x=-3x+19+3x\\\\Simplify\\-x=19\\\\\mathrm{Divide\:both\:sides\:by\:}-1\\\frac{-x}{-1}=\frac{19}{-1}\\\\Simplify\\x=-19[/tex]

Answer:

We have this equation:

-4(x+1) - 3 = -3(x-4)

First of all, we solve the paretheses:

-4x - 4*1 - 3 = -3x - (-3*4)

-4x - 4 - 3 = -3x +  12

-4x -7 = -3x + 12

We sum 7 on both sides and 3x on both too:

-4x - 7 + 7 + 3x = -3x + 12 + 3x + 7

-4x + 3x = 12 + 7

-x = 19

x = -19

Now we can verify:

-4(-19+1) - 3 = -3(-19-4);

-4(-18) - 3 = -3(-23);

72 - 3 = 69 (TRUE)

One day is equivalent to 86400 seconds.

So 86400÷20=4320 gallons

Answer:

$257

Step-by-step explanation:

First we multiply the rate by time

8.5*32=$272

then we subtract the uniform fee

272-15=$257

(plz give brianliest ty)

Answer:

8.50x-15

Step-by-step explanation:

Flat rate is 15 so you subtract from income made. 8.50x is how much you make depending on how many hours you work. Thus income-fee= how much you make first week.

Answer:

8

Step-by-step explanation:

8 can be divisible by 8. Therefore, it would be a multiple of 8.

The first multiple of a number is always that number.

All other options given are not multiples of 8.

Hope this helps.