3. Suppose that you work part-time as a sales representative at a car dealership. You earn a base salary of $125 per week plus 18% commission on all sales that you make. Your best friend has exactly the same job at another car dealership but earns a base salary of $85 per week plus a 21% commission on all sales. How much do you and your friend need to sell in order to earn the same amount in any given week?

Answers

Answer 1

Answer:

1333.33

Step-by-step explanation:

125 + .18x = 85 + .21x

 40 = .03x

x = 1333.33


Related Questions

convert 0.83 repeating to a fraction. PLZ help me

Answers

Answer:

5/6

Step-by-step explanation:

Explanation:

We first let 0.83 (3 being repeated) be  

x

.

Since  

x

is recurring in 1 decimal places, we multiply it by 10.

10

x

=

8.33

Next, we subtract them.

10

x

x

=

8.33

0.83

9

x

=

7.5

Lastly, we divide both sides by 9 to get  

x

as a fraction.

x

=

7.5

9

=

75

90

=

5

6

The solution is, 5/6, when convert 0.83 repeating to a fraction.

What is fraction?

A fraction represents a part of a whole or, more generally, any number of equal parts. When spoken in everyday English, a fraction describes how many parts of a certain size there are, for example, one-half, eight-fifths, three-quarters.

here, we have,

Explanation:

We first let 0.83 (3 being repeated) be x.

Since,

x is recurring in 1 decimal places, we multiply it by 10.

10x=8.33

Next, we subtract them.

10x−x=8.33−0.83

9x=7.5

Lastly, we divide both sides by 9 to get  x

as a fraction.

x=7.5/9

=75/90

=5/6

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John weights 65.7 kg. If he reduces his weight in the ratio 5 : 4, find his reduced weight.​

Answers

Solution:

Let the previous weight be 5x.

[tex]\small\bold\pink{ →}\small\bold{5x = 65.7 }[/tex]

[tex]\small\bold\pink{ →}\small\bold{x =\frac{65.7}{5}}[/tex]

[tex]\small\bold\pink{ →}\small\bold{x = 13.14}[/tex]

Therefore, the reduce weight = 4 × 13.14

= 52.56 kg

Answer :- 52.56 kg

Samantha and mia each left julia’s house at the same time. mia walked north at 7 kilometers per hour. samantha ran west at 11 kilometers per hour. how far apart were they after one hour? round the answer to the nearest tenth. a right triangle. a point at the angle with measure 90 degrees is labeled julia's house. a line drawn north is labeled 7 kilometers and a line drawn west is labeled 11 kilometers. 7.7 km 8.4 km 13.0 km 18.0 km

Answers

Mia walked 7km/h so after 1 hour, she is 7 km north of the house of Julia

Samantha walked 11km/h so after 1 hour, she is 11 km west of the house of Julia.

The points where Mia and Samantha are after 1 hour , and the house of Julia form a right triangle with sides 7 and 11 km. The distance between the girls, is the hypotenuse of his triangle.

by the pythagorean theorem:

Answer: 13 km

Answer:

C

Step-by-step explanation:

Describe the pattern. Find the next three numbers.
7. 0.7, 2.1, 6.3, 18.9,...
8. 0.13, 0.65, 3.25, 16.25,...
9. 2, 0.04, 0.0008, 0.000016, ...
10. 6, 1.8, 0.54, 0.162, ...

Answers

9514 1404 393

Answer:

  7. a[n] = 3·a[n-1]; 56.7, 170.1, 510.3

  8. a[n] = 5·a[n-1]; 81.25, 406.25, 2031.25

  9. a[n] = 0.02·a[n-1]; 0.00000032, 0.0000000064, 0.000000000128

  10. a[n] = 0.3·a[n-1]; 0.0486, 0.01458, 0.004374

Step-by-step explanation:

These sequences are all geometric sequences, so terms have a common ratio. That ratio can be found by dividing the second term by the first. The next term is found by multiplying the last term by the common ratio.

__

7. ratio is 2.1/0.7 = 3. Each term is 3 times the last. The next three terms are ...

  18.9×3 = 56.7, then 170.1 and 510.3

__

8. ratio is .65/.13 = 5. Each term is 5 times the last. The next three terms are ...

  16.25×5 = 81.25, then 406.25 and 2031.25

__

9. ratio is .04/2 = .02. Each term is 0.02 times the last. The next three are ...

  0.000016×0.02 = 0.00000032 = 3.2×10^-7, then 6.4×10^-9 and 1.28×10^-10

__

10. ratio is 1.8/6 = 0.3. Each term is 0.3 times the last. The next three are ...

  0.162×0.3 = 0.0486, then 0.01458 and 0.004374

What is the volume of the oblique cone? Round to the nearest tenth. 142. 4 cubic units 142. 4 square units 196. 0 cubic units 196. 0 square units.

Answers

The volume of the oblique cone is 142.4 cubic units. Then the correct option is A.

What is Geometry?

It deals with the size of geometry, region, and density of the different forms both 2D and 3D.

The radius and height of the oblique cone are 4 and 8.5 unis.

Then the volume of the cone will be given as

[tex]\rm Volume = \dfrac{1}{3} \pi r^2 h\\\\\\Volume = \dfrac{1}{3} \pi *4^2 * 8.5 \\\\\\Volume = \dfrac{1}{3} \pi * 16 * 8.5 \\\\\\Volume = 142.4 \ cubic \ units[/tex]

The volume of the oblique cone is 142.4 cubic units. Then the correct option is A.

More about the geometry link is given below.

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A rose garden in the city park is rectangular and is 9 m wide. If the area of the rectangle is 144 m², what is the length of the garden?

Answers

Answer:

Length = 16m

Step-by-step explanation:

Area of a rectangle = Length * Width

144m^2 = Length * 9m

Divide both sides by 9m

Length = 16m

Fifteen percent of the students in seventh grade at Western Middle School have perfect attendance. There are 220 students in seventh grade. How many have perfect attendance? Perfect Attendance 5% 5% 5% 5% 5% 5% 5% 5% 5% 5% 5% 5% 5% 5% 5% 5% 5% 5% 5% 5% 11 22 33 44

Answers

Answer: 33

Step-by-step explanation:

From the question, we are informed that Fifteen percent of the students in seventh grade at Western Middle School have perfect attendance and that there are 220 students in seventh grade.

To calculate the number of students who have perfect attendance, we multiply 15% by 220. This will be:

= 15% × 220

= 15/100 × 220

= 0.15 × 220

= 33

33 students have Perfect attendance

Answer:

33

Step-by-step explanation:

what is the value of the expression?
4x3+(12divided by 2x2)

Answers

Answer:

the answer is 15.

Answer:

it is 15

Step-by-step explanation:

The measure of the angles of a triangle are shown in the figure below . Solve for x

Answers

Answer:

56

Step-by-step explanation:

because the triangle is 180 degrees

Answer:

x = 56°

Step-by-step explanation:

Hello!

All angles in a triangle add up to 180°

84 + 40 = 124

180 - 124 = 56°

If you need further explanation, let me know!

- profparis

If LMN = XYZ, which congruences are true by CPCTC? check all that apply.

Answers

Answer:

ML congruent YX

Step-by-step explanation:

You have chosen the correct answers

but , also [ ML congruent YX ]

Answer: Z= N

ML= YX

X=L

Step-by-step explanation:

You have 6 pints of glaze. It takes 7/8 of a pint to glaze a bowl and 9/16 of a pint to glaze a plate. a. How many bowls could you glaze? How many plates could you glaze? You could glaze bowls. You could glaze plates. b. You want to glaze 5 bowls, and then use the rest for plates. How many plates can you glaze? How much glaze will be left over? You could glaze plates and will have pints of glaze left over. c. How many of each object could you glaze so that there is no glaze left over? Explain how you found your answer. You could glaze bowls and plates. The bowls use pints of glaze and the plates use pints of glaze, for a total of 6 pints of glaze.

Answers

Answer:

a.

How many bowls could you glaze?

we can only glaze 6 bowls

How many plates could you 10 plates

b. You want to glaze 5 bowls, and then use the rest for plates.

How many plates can you glaze?

Hence we can only glaze 2 plates

How much glaze will be left over?

8/9

c. How many of each object could you glaze so that there is no glaze left over?

= 4 4/23 bowls and 4 4/23 plates

Step-by-step explanation:

You have 6 pints of glaze. It takes 7/8 of a pint to glaze a bowl and 9/16 of a pint to glaze a plate.

a.

How many bowls could you glaze?

It takes 7/8 of a pint to glaze a bowl

We have 6 pint

7/8 pint = 1 bowl

6 pints =

6 pints/ 7/8

= 6 × 8/7

= 48/7

= 6.8571428571 bowls

We can't glaze decimal of a bowl, hence, we can only glaze 6 bowls

How many plates could you glaze?9/16 of a pint to glaze a plate.

9/16 pint = 1 bowl

6 pints =

6 pints/ 9/16

= 6 × 16/9

= 10.666666667 plates

We can't glaze decimal of a plate, hence, hence can only glaze 10 plates

b. You want to glaze 5 bowls, and then use the rest for plates.

1 bowl = 7/8 pints

5 bowls =

5 × 7/8pints

= 4 3/8 pints of glaze would be used for bowls

How many plates can you glaze?

The rest is for plates, hence:

6 pints - 4 3/8

1 5/8 pints of glaze would be left over to glaze plates.

Hence if

9/16 pints = 1 plate

1 5/8 pints =

= 2 8/9

Hence we can only glaze 2 plates

How much glaze will be left over?

8/9

You could glaze plates and will have pints of glaze left over.

c. How many of each object could you glaze so that there is no glaze left over?

We have 6 pints of glaze

7/8 x + 9/16 × x = 6 pints

= 4 4/23 bowls and 4 4/23 plates

Determine the whether the quadratic equation below has a maximum or minimum.
y = 4x² – 3x - 43

Answers

A minimum because the function is positive. Positive quadratic functions always concave upwards (in a “bowl-like” shape), creating a curve/minimum at the bottom.

Answer:

Minimum

Need to know:

Derivative power rule: d/dx xⁿ = nxⁿ⁻¹

Derivative constant rule: d/dx c = 0

Step-by-step explanation:

A way to determine whether the quadratic equation has a maximum or a minimum is by graphing it.

If we look at the image below, we notice that the graph does not go to the bottom infinitely, but it keeps going up infinitely. This means there is a minimum to this graph.

Another way to determine this is through calculus.

First, we have to find the point of extremum

Find the derivative of the given equation

d/dx 4x² -  3x - 43

You can separate the terms and solve them individually

d/dx 4x² = 4(2)(x²⁻¹) = 8x

d/dx -3x = -3(1)(x¹⁻¹) = -3(1)(1) = -3

d/dx -43 = 0

y' = 8x - 3

Set y' to equal 0

8x - 3 = 0

Add 3 to both sides

8x - 3 = 0

    + 3   + 3

8x = 3

Divide both sides by 8

8x/8 = 3/8

x = 3/8

There is only one point of extremum

Now we have to test whether the equation changes from negative to positive or positive to negative

If it changes from negative to positive, that point is a minimum

If it changes from positive to negative, that point is a maximum

To find this, pick a number less than 3/8 and plug it in the place of x in the derivative equation. We'll use 0.

y' = 8(0) - 3 = -3

Now we will do the same for a number larger than 3/8. We'll use 1

y' = 8(1) - 3 = 5

Since the lesser side of 3/8 is negative and the larger side of 3/8 is positive, that means it changes from negative to positive. This point is a minimum.

5x2y and 4yx2 are like terms ?

Answers

Answer:

40 x^2 y^2

Step-by-step explanation:

5×2 y (4 y x^2)

Answer:

yes

Step-by-step explanation:

5x^2y

4yx^2

Rewriting the second term

4 x^2y

We have x^2 and y in each term so they are like terms

The members of the senior class are planning a dance. They use the equation
to determine the total receipts.
2r +t
2
Write the equation in terms of the following variables.

Answers

Answer:

I'm guessing you are saying 2r, t, and 2

If that is the case, then the terms are 2r, t, and 2.

Step-by-step explanation:

Terms are numbers in an equation, like terms is when you combine something that is the same variable.

Find the modulus of 15+36i

Answers

Answer:

The modulus is 39

Step-by-step explanation:

Modulus of a complex number

The modulus or absolute value, of a complex number, denoted |x+iy| is calculated with the formula:

[tex]\displaystyle |x+\mathbf{i}y|=\sqrt {x^{2}+y^{2}}[/tex]

The given complex number is z = 15 + 36i

Calculating the modulus:

[tex]|z|=\sqrt {15^{2}+36^{2}}[/tex]

[tex]|z|=\sqrt {225+1296}[/tex]

[tex]\boxed{|z|=\sqrt {1521}}[/tex]

|z|=39

The modulus is 39

Amy is catching a flight for London at 12:00 noon. Prior to leaving for the airport, she needs to allow 30 minutes for a shower and 30 minutes to finish packing last minute items. She also needs to give herself 1 hour to drive to the airport. If she needs to arrive for her international flight two hours before departure, then she needs to set her alarm to wake up by what time in order to be on schedule?

Answers

Answer:

8:00am

Step-by-step explanation:

Given that the departure time is 12:00 noon

let us calculate the time she takes to prepare herself

preparation time

shower= 30minutes

last minutes item= 30minutes

drive to airport= 1 hour= 60minutes

total time for preparation = 2 hours

2 hours before departure time is 12-2= 10:00 am

with 2 hours of preparation she needs to set the alarm by=10-2= 8:00am

A friend ate 2/3 of a small muffin and his friend ate 2/3 of a large muffin, did they eat the same amount?

Answers

Answer:

no, because both muffins are different sizes, meaning that if a friend ate 2/3 of a small muffin than that would be different

3x - 4y= -2
In standard form

Answers

Answer:

[tex]4y = 3x + 2 \\ [/tex]

Step-by-step explanation:

y = mx + c

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

the triangle below, what is the length of the side opposite the 60° angle? 60 3 30 3sqrt(3) B. 6 2sqrt(3); sqrt(3)

Answers

Answer:

A.

Step-by-step explanation:

I know I am late. Hope this helps you understand at least.
For a 30 60 90 triangle the side opposite to the 60 is always x√3.

The hypotenuse is always 2x

And the site opposite to the 30 is always x.

Since x is 3 you would replace the x in x√3, with 3.

what is 12 ÷ (4-2.3) in word form

Answers

Answer:

> twelve divided by open bracket four subtract by two multiple by three close bracket.

The required form of expression 12 ÷ (4 - 2.3) is a division of 12 by a difference of 4 and 2.3.

Given that,
To write the expression  12 ÷ (4-2.3) in word form.

What is arithmetic?

In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication, and division.

Here,
In the expression, 12 ÷ (4-2.3)
12 is getting divided by the subtraction 2.3 from 4, this implies the division of 12 by a difference of 4 and 2.3.

Thus, the required form of expression 12 ÷ (4 - 2.3) is a division of 12 by a difference of 4 and 2.3.

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Kimberly's parents added a hot tub to the backyard this summer, so Kimberly is hosting a hot tub and movie night for her close friends. The hot tub is shaped like a rectangular prism. It is 7 feet long, 3
1
4
feet deep, and has a volume of 159
1
4
cubic feet.

Answers

The width of the hot tub given its volume, length and depth is 7 feet.

What is the width of the hot tub?

A rectangular prism is a three-dimensional object with six faces. Opposite faces are identical.

Volume of a rectangular prism = length x width x height

Width = volume / ( depth x length)

159 1/4 ÷ (7 x 3 1/4)

637/4 ÷  (91/4)

637/4 x 4/91 = 7 feet

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I need help, if you could that would be awesome.

Answers

[tex]\\ \rm\rightarrowtail -4(2x+1)\leqslant 3(x-5)[/tex]

[tex]\\ \rm\rightarrowtail -8x-4\leqslant 3x-15[/tex]

[tex]\\ \rm\rightarrowtail -11x\leqslant -11[/tex]

[tex]\\ \rm\rightarrowtail x\geqslant 1[/tex]

Answer:

x ≥ 1

Step-by-step explanation:

Given inequality :

-4(2x + 1) ≤ 3(x - 5)

Step 1 : Expand on both sides

-4(2x + 1) ≤ 3(x - 5)-8x - 4 ≤ 3x - 15

Step 2 : Bring x terms to one side and numerical terms to the other

-8x - 4 ≤ 3x - 15-11x ≤ -11

Step 3 : Divide by -11 on both sides

Remember when dividing by a negative number, the sign always changes to become the opposite-11x ≤ -11x ≥ 1

Solution

x ≥ 1

Distribute & Simplify 6 + 2 (7x +3y-1)

Answers

Answer:

56x+24y-8

Step-by-step explanation:

6 + 2 (7x +3y-1)

8(7x+3y-1)

56x+24y-8

−(−2−5x)+(−2)=18 I am confused on how to get the answer.

Answers

Answer:

3.6

Step-by-step explanation:

-(-2-5x)+(-2)=18

2+5x-2=18

5x=18

X=18/5

X=3.6

Answer:

Hello there!^^

Step-by-step explanation:

✰✰✰✰✰✰✰✰✰✰✰✰✰✰✰✰✰✰✰✰

Add 2 to both sidesSimplify Divide both sides by -1SimplifyAdd 2 to both sidesSimplifyDivide both sides by -5Finally, you have to simplify again.

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

→ 1. -(-2-5x)-2+2=18+2

→ 2. -(-2-5x)=20

→ 3. 20/-1

→ 4. -2-5x=-20

→ 5. -2-5x+2=-20+2

→ 6. -5x=-18

→ 7. -5x/-5 = -18/-5

→ 8. x = 18/5

Answer: x = 18/5

Hence the answer would be 18/5

By you fellow brainly user: xCherryxUwU

#Thanks!

✰✰✰✰✰✰✰✰✰✰✰✰✰✰✰✰✰✰✰✰

There are 3/4 as many boys as girls in class of fifth-grade. If there are 35 students in class, how many are girls?

Answers

Answer:

girls = 20

boys = 15

Step-by-step explanation:

boys = 3/4 x  = .75x

girls = x

x + .75x = 35

1.75x = 35

x = 35/1.75

x = 20

girls = 20

boys = 3/4 * 20 = 15

boys = 15

The code for puzzle one escape the rooms

Answers

Answer:

there Is no question to that cluld you explain. sorry I don't know how to comment.

Help me solve this problem please 1st problem

Answers

Answer:

I think its C

Step-by-step explanation:

Range means its the y axis and the graph shows -1 and 4 being the range

A triangle can be constructed by taking its sides as
(1) 1.8 cm, 2.6 cm, 4.4 cm
(2) 2 cm, 3 cm, 4 cm
(3) 3.2 cm, 2.3 cm, 5.5 cm
(4) 2.4 cm, 2.4 cm, 6.4 cm​

Answers

Answer:

can be constructed by taking the sides 2cm, 3cm,4cm

Please look at the picture.

Answers

Answer:

Blue

Step-by-step explanation:

I graphed it, and got the same thing.

convert 3\ 11 to a decimal using long divison

Answers

Answer:

0.27272727272

Step-by-step explanation:

Answer:

3/11 = .272

Step-by-step explanation:

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