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

0.26÷1.56 ...........................................................................................

Answers

Answer:the answer is 0.16 in the calculator its 0.166666666667 but just take the first 3 numbers at thats your answer.

Step-by-step explanation:

At Mr. Hynd's ranch, there are 35 chickens and 20 cows. What is the ratio of the number of cows to the number of chickens at Mr. Hynd's ranch?

Answers

The ratio is 20:35 or 20 to 35 and also 20/35, there are multiple ways to write it. My personal favorite is the first one but it depends on what your teacher wants!

what is the steps of 3/5÷7/10​

Answers

take 3/5 and flip both 7/10 and the division sign to multiplication so your problem looks like 3/5*10/7 and solve by multiplying 3 and 10 and 5 and 7 to get 30/35 or 6/7

Answer:

6/7

Step-by-step explanation:

1) Keep, Change, Flip.

-We keep the first number the same, the ÷ (division) sign is changed into a X (multiplication) sign.

3/5 x 10/7

-The 7/10 is flipped and is now 10/7.

2) Now we multiply the top and bottom numbers.

30/35

3) Simplify.

30/35 = 6/7

- I divided by 5.

Determine the 6th term of the following sequence.

1215, 405, 135, 45,...

Answers

Answer:

5

Step-by-step explanation:

Answer:

I think its 5

Step-by-step explanation:

because you divide them by 3 to get the next answer and 44 divided by 3 is 15 and 15 divided by 3 is 5


In the equation, 4x + 5 = 21, what is the first step in the order of
operations, to solve for x? *

Answers

Answer:

The first step you would have to do would be get 4x by itself

Step-by-step explanation:

So it would be 4x +5 = 21

-5 and -5

So it would be 4x = 16

Choose the correct answer and rationale. “The prices listed on retail websites...”
a.
...are open to negotiation, because you can email the company.
b.
...are reliable, because you have proof of the advertised price.
c.
...are unreliable, because internet commerce does not have the same regulations as normal commerce.
d.
...are often below the total cost, because they usually do not include shipping charges.

Answers

Answer:

Step-by-step explanation:

D

Answer:

D

Step-by-step explanation:

EDGE 2021

A line with a slope of -7 passes through the points (-8, 7) and (-7, k). What is the value of
K?

Answers

Answer:

k = 0

Step-by-step explanation:

On the graph, the second point would be at (-7,0)

Answer:

k = 0

Step-by-step explanation:

We can find the answer to this question by using the slope equation:

[tex]\frac{y2 - y1}{x2 - x1}[/tex]

Let's define some variables:

[tex]\frac{k - 7}{-7-(-8)} = \frac{k-7}{1} = k- 7[/tex]

We know the slope is -7 so we can put k-7 equal to it and solve

[tex]k-7 = -7\\k = 0[/tex]

We find that k is equal to 0.

I hope this helps!!

- Kay :)

472 students are going on a field trip. 120 students will be returning home and the rest will be spending the night in cabins. If 8 people can sleep in one cabin, how many cabins need to be rented for the students?

Answers

470 kids went on the trip, and 120 students returned home, the total of kids staying is 350.

One cabin= 8 students

The equation i came up with is 350/8 = 43.75

They need 44 cabins to fit all the kids

Mark and Dennis help their grandfather make rootbeer. They need 4 pounds of sassafras to make one barrel of rootbeer, but they only have 1 pound.

How much rootbeer can they make?

Answers

Answer:

the total is your denominator and how much they have is the numerator so the answer is 1/4 or one fourth

Step-by-step explanation:

I WILL GIVE BRAINILEST AND 5 STAFS IF CORRECT

Use the expression 9(7 + 2x) to answer the following:

Part A: Describe the two factors in this expression. (4 points)

Part B: How many terms are in each factor of this expression? (4 points)

Part C: What is the coefficient of the variable term? (2 points)

Answers

Answer:

Part A: Describe the two factors in this expression. (4 points) The factors are (1) the constant coefficient 9 and (2) the binomial (7+2x).

Part B: How many terms are in each factor of this expression? (4 points) The first factor (multiplicand), 9, has one term. The second factor (multiplicand), (7+2x), has two terms (and is thus called a binomial).

Part C: What is the coefficient of the variable term? (2 points) The only such coefficient is 2.

Please help me with this

Answers

Answer:

t = 39

Step-by-step explanation:

the diagonals of a parallelogram bisect each other, therefore t = 3t - 78 further solving this equation we get

2t = 78 and then t = 39

1- (2x+4)= 4x+5 . What is the correct solution ??

Answers

Answer:

x=4

Step-by-step explanation:

We move all terms to the left:

1-(2x+4)-(-4x+5)=0

We get rid of parentheses

-2x+4x-4-5+1=0

We add all the numbers together, and all the variables

2x-8=0

We move all terms containing x to the left, all other terms to the right

2x=8

x=8/2

x=4

There are 12 circles and 15 triangles. What is the simplest ratio of circles to triangles

Answers

Answer:

4:5

Step-by-step explanation:

Select all of the equations that passes through (5,2) and (0,18)??

25 points

Answers

Answer:

A

E

F

those are the only three answers the rest of them are wrong

What Solution set of the equation 9x^2 +6x = -1

Answers

Answer:

[tex] x=\{- \frac{1}{3}\}[/tex]

Step-by-step explanation:

[tex]9x^2 +6x = -1 \\ \\ 9x^2 +6x + 1 = 0\\ \\ {(3x + 1)}^{2} = 0 \\ \\ 3x + 1 = 0 \\ \\ 3x = - 1 \\ \\ x = - \frac{1}{3}\\\\x=\{- \frac{1}{3}\} [/tex]

If cos O =-2/5 and tan O > 0 what is the value of sin O

Answers

Answer:

negative square root 21 over 5.

Step-by-step explanation:

mathGiven that for an angle ,

We are to find the value of  

We know that

Cosine is negative in Quadrant II and Quadrant III.

Tangent is positive in Quadrant 1 and Quadrant III.

So, the given angle  lies in the Quadrant III.

We will be using the following trigonometric identity:

We have

Since the angle  lies in Quadrant III and sine is negative in that quadrant, so

Thus, option (B) is correct.

how do i solve 9 divide by 1.034 in whole number form

Answers

Answer:

it would be rounded to 9

Step-by-step explanation:

sense this is the answer 8.704061896  you ought to round then again im not   perfect if   posable you should try 9 first if its wrong then try 8

ANSWER ALL THESE QUESTIONNN WITH THE WORK AND YOU WILL GET 25 POINTS AND BRAINILEST

Answers

Answer:

1: 16 2: 15 3: 25 4: 12

I don't know any more than that but I hope this helps a little

Step-by-step explanation:

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.

4 -2x plus 5 when x =4

Answers

Answer:

1

Step-by-step explanation:

f(4)=4-2x+5

4-2(4)+5

4-8+5

1

Answer:

x=1

Step-by-step explanation:

4-2x+5

x=4 so substitute the x with 4.

4-2(x)+5

=1

please help meeeeeeeeeee

Answers

A straight line is 180 degrees so the two angles together must equal 180. 180-54=126

Which expression is equivalent to 3^2 times 3^-5

Answers

Answer:

1/27 is the answer..... .......

PLS HELP 20 POINTS DUE IN TMR

Answers

1/2 3/10 1/10
9/10 1/5 3/5
4/5 7/10 2/5

A school lunch costs $2.50. A monthly lunch pass costs $40.00. Which inequality represents the number x of lunches you must purchase for the monthly pass to be a better deal?

Answers

Answer:

The inequality 2.50x>40.00 represents the number of lunches needed to be purchased for the monthly lunch pass to be a better deal.

Step-by-step explanation:

Given that:

Cost of each lunch = $2.50

Cost of monthly lunch pass = $40.00

Number of lunches = x

For making the monthly pass a better deal, the cost of lunches should be greater than the cost of monthly lunches, therefore

Cost of lunch * Number of lunches > Cost of monthly lunch pass

2.50x > 40.00

Hence,

The inequality 2.50x>40.00 represents the number of lunches needed to be purchased for the monthly lunch pass to be a better deal.

Answer:

2.50x > 40.00

$2.50 times a number of lunches is greater than $40.

Step-by-step explanation:

PLS HELP THIS IS TIMED!!!!!

which expression is equivalent to 4x^2 sqrt 5x^4 • 3 sqrt 5x^8 if x ≠ 0

Answers

Answer:

B

Step-by-step explanation:

The equivalent expression is [tex]16x^{8}[/tex]. So, the correct option is B.

Given:

The given expression is:

[tex]4x^2\sqrt{5x^4}3\sqrt{5x^8},x\neq 0[/tex]

To find:

The equivalent expression.

Explanation:

We have,

[tex]4x^2\sqrt{5x^4}3\sqrt{5x^8}[/tex]

On simplification, we get

[tex]=4x^2(x^2\sqrt{5})3(x^4\sqrt{5})[/tex]

[tex]=(4\times 3)(x^{2+2+4})(\sqrt{5}\times \sqrt{5})[/tex]

[tex]=12(x^{8})(5)[/tex]

[tex]=16x^{8}[/tex]

Therefore, the correct option is B.

Learn more:

https://brainly.com/question/23916512

six celebrity starring in a popular sitcom that has a 12-show season of each page $750,000 per episode additional cost of producing a sitcom total $275,000 per episode. A 12- show reality series cost $350,000 so produce each episode. What is the difference between the total cost to produce the sitcom and the reality series?
Answers: A is $53,100,000.00 B is $4,200,000.00 C is $57,300,000.00 and D is $61,500,000.00

Answers

Answer:

Choice A

Step-by-step explanation:

YW

-2x + y =5

SOLVE FOR Y. THEN MAKE A TABLE OF ANSWERS

Answers

Answer:

x=1

Step-by-step explanation:

How many yards are there in 14 1/2 miles?

Answers

Answer:

25520

Step-by-step explanation:

Parker grew
21 inches each year for the past 3 years. How many inches total has Parker grown in the past 3 years

Answers

Answer:

63

Step-by-step explanation:

Answer:

63

Step-by-step explanation:

21x3=63

I need this answer ASAP

Answers

Answer:

216 cm²

Step-by-step explanation:

6*6=36

36*6=216

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