Ethan works at an electronics store as a salesperson. Ethan earns a 5% commission on the total dollar amount of all phone sales he makes, and earns a 4% commission on all computer sales. Ethan had twice as much in computer sales as he had in phone sales and earned a total of $117 in commission. Write a system of equations that could be used to determine the dollar amount of phone sales Ethan made and the dollar amount of computer sales he made. Define the variables that you use to write the system.


Answers

Answer 1

Answer:

0.05x+0.04y=117

y=2x

where:

x is the amount of all phone sales

y is the amount of all computer sales

Step-by-step explanation:

From the information given, the first equation would indicate that the comission of all phone sales plus the comission from all computer sales would be equal to 117, which is:

0.05x+0.04y=117, where:

x is the amount of all phone sales

y is the amount of all computer sales

Also, the statement indicates that Ethan had twice as much in computer sales as he had in phone sales, which would be:

y=2x

Now, you can replace y=2x in the first equation and solve for x:

0.05x+0.04(2x)=117

0.05x+0.08x=117

0.13x=117

x=117/0.13

x=900

Finally, you can replace the value of x in y=2x to find the value of y:

y=2(900)

y=1800


Related Questions

Paula is the student council member responsible for planning an outdoor student dinner dance. Plans include
hiring a band and buying and serving dinner. She wants to keep the ticket price as low as possible to encourage
student attendance while still covering the cost of the band and the food.
1.) Band A charges $700 to play for the evening and Band B charges $550 plus $1.50 per student.
a. Write a system of equations to represent the costs of the two bands. Use y for total cost and use x for
number of students.

Answers

Answer:

Band A:y=700

Band B:y=550+1.50x

Step-by-step explanation:

Band A: since they are a fixed rate no matter how many students the equation  would be y=700 . There is no need for x since there is no extra price for students

Band B: Since this band charges 550 plus 1.50 per student we will need a x in our equation

y=550+1.50x

The difference between the two equations is that in Band B we need to add the price per student.

)
Evaluate: 4+8= 2 (6 - 3)
16
33
25
18
Done
HURRY

Answers

I got the answer six. I’m not sure how those other answers are possible.

The bike store marks up the wholesale cost of all of the bikes they sell
by 30%. Andre wants to buy a bike that had a wholesale price of $125.
What is the marked up retail cost of this bike? (Type your answer as a
number price without units-$) *

Answers

Andre will pay $100 after discount:)

What is the equation in slope intercept form of the line that passes through the point (2,2) and is perpendicular to the line represented by y=2/5x + 2

Answers

Answer:

y=

Step-by-step explanation:

Perpendicular means opposite reciprocal of the slope. This means that the slope would change from 2/5 to 5/2 and add a negative, so it is -5/2.

y=-5/2x+b

2=-5/2 (2) +b

7=b

y=-5/2x+7

2x - 2y = 6 3x + 2y = 9 Solve the system of equations. A) x = 0, y = 3 B) x = 3, y = 0 C) x = 1, y = -2 D) x = -2, y = 1 E) x = 6, y = 3

Answers

Answer:

There are 2 ways to solve this system: by elimination or by graphing. I will solve it by elimination. First will solve for x.

[tex]2x - 2y = 6\\3x + 2y = 9\\\\5x = 15\\\\x = 3\\[/tex]

Now we will solve for y using what we got for x.

[tex]2(3) - 2y = 6\\\\6 - 2y = 6\\\\-2y = 0\\\\y = 0[/tex]

Solution:

A: [tex](0, 3)[/tex]

PLEASE HELP! BRAINLIEST IF CORRECT!
A certain crate can hold up to 1700 pounds when shipped. An item that weighs 110 pounds was placed in the box. If the variable "w" stands for the amount of additional weight the box can hold, which of the following units could apply to that variable?

A. inches
B. meters
C. gallons
D. pounds

Answers

I think it's d c is measuring water

Answer:

The answer is D. Pounds

Answer ASAP!! There is only a blank circle on the left

Answers

Answer:

i think its 1000

Step-by-step explanation:

2. Solve the system of equations.
1
ży 22
—1
x + 3y = 2 = 10
11/x + 2
+ z = -4

Answers

9514 1404 393

Answer:

  (x, y, z) = (2, 1, -5)

Step-by-step explanation:

There are numerous equation solvers available on the web. The attached result is from one of them.

__

You may find it easier to solve these by hand if you eliminate fractions.

2x -y +z = -2x +3y -z = 10x +0y +2z = -8

The first step is to look to see what you have, then formulate a strategy for getting a solution. Because the equations containing y have opposite coefficients, one of which is -1, we choose to use those to eliminate y. Immediately, we will have two equations in x and z.

If  you multiply the first equation by 3 and add that to the second, then you will eliminate y. The third equation already has y eliminated, so you will then have two equations in x and z.

  3(2x -y +z) +(x +3y -z) = 3(-2) +(10)

  6x -3y +3z +x +3y -z = -6 +10

  7x +2z = 4 . . . . [eq4]

Subtracting the third equation from this eliminates z, so you have ...

  (7x +2z) -(x +2z) = (4) -(-8)

  6x = 12

  x = 2

Substituting into the third equation gives ...

  2 +2z = -8

  2z = -10

  z = -5

Then using the first equation, you have ...

  y = 2x +z +2 = 2(2) +(-5) +2 = 1

(x, y, z) = (2, 1, -5)

To eliminate the y terms and solve for x in the fewest steps, by which constants should the equations be multiplied by before adding the equations together?

First equation: 4x − 3y = 34

Second equation: 3x + 2y = 17

1.The first equation should be multiplied by 2 and the second equation by 3.
2.The first equation should be multiplied by 2 and the second equation by −3.
3.The first equation should be multiplied by 3 and the second equation by 4.
4.The first equation should be multiplied by 3 and the second equation by −4.

Answers

Answer:

Multiply the first equation by 2 and the second equation by 3 to eliminate y

Step-by-step explanation:

First equation: 4x − 3y = 34

Second equation: 3x + 2y = 17

Multiply the first equation by 2 and the second equation by 3 to eliminate y

2( 4x − 3y = 34 )  = 8x -6y = 68

3( 3x + 2y = 17) = 9x  +6y = 51

Add the equations together

8x -6y = 68

9x  +6y = 51

----------------------

17 x    = 119

The correct answer should be A.

what is the opposite -2/5

Answers

Answer:

it would be a positive 2/5

Step-by-step explanation:

Answer:

2/5 just not negative anymore!

Step-by-step explanation:

I need help pls and thank, will give brainliest to who is willing to help me! :3

Answers

Answer:

Junior's brother is 1\dfrac121 2 1 ​ 1, start fraction, 1, divided by, 2, end fraction meters tall. Junior is 1\dfrac151 5 1 ​ 1, start fraction, 1, divided by, 5, end fraction of his brother's height.

Answers

Answer:

1 4/5 meters

Step-by-step explanation:

Juniors brother = 1 1/2 meters tall

Junior is 1 1/5 of his brother height

Junior = 1 1/5 of 1 1/2

= 6/5 × 3/2

= 6 * 3 / 5 * 2

= 18/10

= 1 8/10

= 1 4/5 meters

Junior is 1 4/5 meters tall

Answer:

1 4/5

Step-by-step explanation:

its on khan (: trust me

Answer the two following question and will mark Brainliest

Answers

Answer:

Max: (-2,5)

Min: (-6,-4)

Answer:

(-2, 5) for the max and (-6, -4) is the min. That if the question is talking about max and min graph points!

Step-by-step explanation:

Hope it helps!

Given vectors u = ⟨–2, 1⟩ and v = ⟨4, –2⟩, which statement is true concerning u and v? a. The vectors form an obtuse angle of approximately 93°. b. The vectors form an obtuse angle of approximately 96°. c. The vectors form an obtuse angle of approximately 127°. d. The vectors point in opposite directions.

Answers

Answer:

D) The vectors point in opposite directions.

Step-by-step explanation:

got it right on edge :)

see graph below

Answer:

D. The vectors point in opposite directions.

Step-by-step explanation:

PLS HELPP ME , ILL GIVE BRAINLIEST IF ITS A REAL ANSWER PLS

Answers

Answer:

For the chart, the missing number on top is 10. the bottom numbers are 1.5 then 9.

For the question, all of the numbers equal the ration 5:3.

Question 2: Yes. 30/x=2/4 which equals 60 (minutes) which is an hour.

Step-by-step explanation:

1A:

2.5 amount of water  - 1.5 amount of pasta

10 amount water - 6 amount pasta

15 amount water - 9 amount pasta

2.5 : 1.5

5 : 3

10 : 6

15 : 9

1B. these quantities are proportional because they can all be simplified to the same unit rate of 5 : 3.

2. Johnny is correct. The rate is 4 : 2, with a unit rate of 2 : 1. If you multiply both sides by 30 (how many inches deep the hot tub is) you get a ratio of 60 : 30, meaning it would take an hour to fill up the tub.

-22 + (-16)
Please help!

Answers

Answer:

-38

Step-by-step explanation:

2x – 3y = 17 –3x + y = –1

Answers

Answer:

can u rewrite the questions

Step-by-step explanation:

a savings account earns 8% interest each year, compounded quarterly (4 times a year). If a person invests $100 and makes no further deposits or withdrawals, what is the balance in the account after 3 years?​

Answers

Answer:  126.82 dollars

===========================================

Work Shown:

The given values are

P = 100 = amount deposited (principal)r = 0.08 = decimal form of the annual interest raten = 4 = compounding frequencyt = 3 = number of years

Which means,

A = P*(1+r/n)^(n*t) .... compound interest formula

A = 100*(1+0.08/4)^(4*3) .... plug in given values

A = 126.824179456254 ..... value is approximate

A = 126.82 ...... round to the nearest cent

The balance of the account after three years is $126.82

Answer:

124 dollars

Step-by-step explanation:

.08 times 100 equals 8

eight times three is twenty four

that is the simplest answer. if the question had any further interests it might of been 126 or even 125.97

If two triangles are similar with a zoom factor of 3, and the smaller one has area 12 sq. units, what is the area of the bigger one? the answer is 108 sq units, im curious how it got there

Answers

Answer:

Please check explanations

Step-by-step explanation:

Mathematically, the area of a triangle

A = 1/2 * b * h

b is base, h is height

For 12 square units, we can have a base of 6 and a height of 4

By tripling the dimensions for the second triangle, we will have a triangle of 18 by 12

So the new area is;

A = 1/2 * 12 * 18

That was how we got 108 square units

Francice says 86 divided by 4 is 20 with a reminder of 6 she reasons it's correct because ( 4x20 + 6 = 86 what mistake did franchise make. ( if you can answer this ill give you 40 brainless.

Answers

Answer:

Step-by-step explanation:

Francice says 86 divided by 4 is 20 with a reminder of 6 she reasons it's correct because ( 4x20 + 6 = 86 what mistake did franchise make. ( if you can answer this ill give you 40 brainless.

i dont know if this is it or not here 436

The remainder should be 2, not 6. Francine mistakenly added 6 instead of 2, leading to the incorrect conclusion. The correct statement is that 86 divided by 4 is 21 with a remainder of 2.

Francine made a mistake in her reasoning. The correct statement would be that 86 divided by 4 is 21 with a remainder of 2, not 20 with a remainder of 6.

Let's analyze her reasoning using the equation she provided:

4x20 + 6 = 86

If we multiply 4 by 20, we get 80, not 86. So, the correct equation should be:

4x20 + 2 = 86

By solving this equation, we find that:

80 + 2 = 86

Hence, the remainder should be 2, not 6. Francine mistakenly added 6 instead of 2, leading to the incorrect conclusion. The correct statement is that 86 divided by 4 is 21 with a remainder of 2.

For more details of remainder :

https://brainly.com/question/29019179

#SPJ6

PLEASE HELP ME !! ILL GIVE YOU BRAINLIEST

Answers

ST and VU are both 1/4 and VS and UT are 1. It is a parallelogram.

6x/5 - x = x/15 - 10/3

Answers

Answer:

x=-25

6x/5 - x = x/15 - 10/3

x/5 = x/15 - 10/3

3x = x - 50

3x - x = -50

2x = -50

x = -50/2

X=-25

Answer:

1the answers is

email is 3rd

5d-3+2d=4d+9. I need help can you help me solve this problem

Answers

Answer:

D=4

Step-by-step explanation:

Answer:

d=4

Step-by-step explanation:

5d - 3 +2d = 4d +9

7d-3=4d+9

-4d    -4d

3d-3=9

     +3   +3

3d=12

divide both sides by 3

d=4

Please help (15 points)

Answers

Answer:

a=5 b=8 c=4

Step-by-step explanation:i hope this is right

PLEASE HELP WILL GIVE 15 POINTS
Answer choices-
A- (0,8)

B- (4,0)

C- (10,0)

D- (0,10)

Answers

The answer is C- (10, 0). Hope this helps.
It’s C it’s the number closer to 20 than the other ones

Question 18 of 25
If f) =3*+ 10 and glx) = 2x- 4, find (f+ 9)().
OA. (f+ )() = 5x +6
OB. (f+ g)() = 3*+ 2x+ 6
OC. (f+ 9)() = 3r- 2x+ 14
O D. (f+ 9)() =-3*- 2x-14
SUBN

Answers

Answer:

C. (f+ 9)() = 3r- 2x+ 14

Step-by-step explanation:

how to multiply 4 x 800 - VALIDS

Answers

Answer:

4x800=  3,200

Step-by-step explanation:

What is the greatest common factor (GCF) of 54 and 45?
A.
9
B.
270
C.
6

Answers

Answer:

Step-by-step explanation:

Letter A?

Please helpp

-8x +(-56)=16

Answers

Answer:

x = -9

-8x + -56 = 16

-8x - 56 = 16

-8x = 16 + 56

-8x = 72

x = 72/8

x= -9

Answer:

-9

Step-by-step explanation:

-8x + (-56) = 16

Take away -56 from both sides

-8x = 72

Divide both sides by -8

x = -9


please help and don’t answer if you don’t know

Answers

Answer:

2 6

4 20

10 110

-3 6

5 30

7 56

1 2

[tex]rule \: \: y = {x}^{2} + x[/tex]

Step-by-step explanation:

First thing to do is look for a pattern with the current data. What I found was the pattern, ahich is the rule. See below.

[tex]y = {x}^{2} + x[/tex]

Now insert the given values for x and y into the rule.

[tex]y = - {3}^{2} - 3 \\ y = 6 \\ \\ 30 = {x}^{2} + x \\ x = 5 \\ \\ y = {1}^{2} + 1 \\ y = 2[/tex]

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