Last week, an online site received $355.60 for selling 20 cell phone accessories Cell phone cases sell for $10.98 and Airpods sell for $27.98.
1. Define the variables.
2. Then, write the system of equations to model this situation.​

Answers

Answer 1

Answer:

i. Cell phone cases

  Airpods

ii. x + y = 20 .............. 1

10.98x + 27.98y = 355.60 .............. 2

iii. x = 12, and y = 8

Step-by-step explanation:

Amount of sale = $355.60

Cost of Cell phone cases = $10.98

Cost of Airpods = $27.98

Number of phone accessories sold = 20

1. The variables to be considered in the question are:

i. Cell phone cases

ii. Airpods

2. Let the number of cell phone cases bought be represented by x, and that of airpods be represented by y.

Thus,

x + y = 20 .............. 1

10.98x + 27.98y = 355.60 .............. 2

From equation 1,

x = 20 -y

substitute the value of x in equation 2

10.98(20 - y) + 27.98y = 355.60

219.6 -10.98y + 27.98y = 355.60

17y = 136.60

y = [tex]\frac{136.60}{17}[/tex]

y = 8.0353

So that,

x = 20 -y

  = 20 - 8.0353

x = 11.9647

Thus,

x = 12, and y = 8


Related Questions

Find an ordered pair (x, y) that is a solution to the equation. -x+4y= 5​

Answers

The pair in the equation is (0,5)

please help me please will give brainliest to anyone who is good ​

Answers

Answer:

There is no association

Step-by-step explanation:

Points do not follow a trend

Please mark Brainliest

Is 2x+3y=24 proportional?​

Answers

Answer:

no

Step-by-step explanation:

if you solved for 'y' you get y = -2/3x + 8 which means the y-intercept is 8 and in order for it to be proportional the y-intercept must be zero


1. The points on the number line represent the values of four different numbers.

Which point best represents the value of 3?

Help !!


Answers

Answer:

it’s point c

Step-by-step explanation:

it would be 1.7 and point C is closer to that than point B

Hence, point c represents 1.732.

What is line?

It's a long, thin mark formed with a pen, pencil, or other tool.

A line in geometry:

• isn't crooked (no bends),

• lacks thickness

• and goes on forever in both directions (infinitely).

It's a "Ray" with one end and a "Line Segment" with two ends.

Try shifting points A and B around.

How to solve?

We know that [tex]\sqrt{3} =1.7320[/tex]

Given point A,B,C,D hence clearly we can see that point c represents 1.7320...

Learn more about lines https://brainly.com/question/1569299

#SPJ2

What is nearest $ 8.66 to nearest $

Answers

Answer:

$9 I think

Step-by-step explanation:

(hhhhhhhhaahahahahshshahahhaahaaaa

Answer:

$8.66 is rounded to $9

Step-by-step explanation:

When rounding a number, you round to the nearest whole number.

If the last digit is 5 or higher (5,6,7,8,9,) it rounds up

If the last digit is 4 or lower (1,2,3,4) it rounds down

Example:

$7.60 would be rounded to $8 because 6 is higher than 5, or in this case,  60 is higher than 50

$4.40 would be rounded to $4 because 4 is lower than 5, or in this case,  40 is lower than 50

Write the equation of the line that passes through the points (-7,0) and (-7, -8).
Put your answer in fully reduced point-slope form, unless it is a vertical or horizontal
line.

Answers

X= neg 7
Hope it helps

Evaluate the expression when c = 4, d = 1 and e = 10.

d+18

Answers

substitute 1 for d. d+18=1+18=19

What is 9736 multiplied by 704

Answers

Answer:

9736 times 704 is 6854144

Answer:

6854144

explanation:

I need help ASAP look at the picture for the problem. ​

Answers

Answer:

28.65 yds (If you have to round do 29)

Step-by-step explanation:

a^2 + b^2 = c^2

14^2 + 25^2 = c^2

196 + 625 = 821

since c is squared you have to find the square root of 821

821 squared equals 28.65 yards

Savannah is planning to buy enough raffle
tickets to have a 10% chance to win the raffle.
If there are 200 raffle tickets being sold, how
many raffle tickets does Savannah need to
hu

Answers

Answer:

20 tickets

Step-by-step explanation:

tickets/total tickets * 100% = 10% chance to win the raffle

x/200*100=10

solve for x

x/200 =  10/100

x = 200(0.1)

x = 20

PLEASE HELP THIS IS TIMED!!!!!!!!!!!!!!!!!!!! A gumball machine had 78 gumballs. Each person who put a coin into the machine gets 3 gumballs. After a certain number of people got gumballs, there were 54 gumballs remaining. Estimate how many people got gumballs out of the machine.

Answers

Answer:

8 people got gumballs out of the machine.

Step-by-step explanation:

Given that:

Number of gumballs in machine = 78

Number of gumballs on each coin = 3

Number of gumballs left = 54

Let,

x be the number of people who put coin

Gumballs left = Total gumballs - 3*Number of people

54 = 78 - 3x

3x = 78 - 54

3x = 24

Dividing both sides by 3

[tex]\frac{3x}{3}=\frac{24}{3}\\x=8[/tex]

Hence,

8 people got gumballs out of the machine.

Ginny is making homemade pizzas for her family. The recipe makes 70 ounces of dough, but she made more that to ensure she had enough to feed everyone. She plans to freeze 28 ounces for next week, and the rest of the dough will be split evenly to make 3 pizzas. A. Write an inequality to represent the maximum weight of each pizza. Response area b. Each of Ginny's pizzas will weigh more than Response area ounces.

Answers

Answer:

14 ounce

Step-by-step explanation:

Given that:

Ounces of dough used in making recipe = 70 ounces

Number of ounces frozen = 28 ounces

Number of pizzas made from dough left = 3

Number of ounces left = total made - number frozen

Number of ounces left = 70 - 28 = 42

Weight of pizza made :

Number of ounces left / number of Pizzas made

42 / 3 = 14

Hence, maximum weight of each pizza made will weigh more than 14 ounces

I need help with this please.I don’t understand it.
1. Estimate how many minutes you talk on your cell phone every month________(you can randomly pick) 2. Which plan above do you think will result in the cheapest plan for you? Why do you think so?

Answers

Problem 1

This answer will vary from person to person. And as your teacher says, you can also randomly pick a value if you aren't sure.

Let's say you spend an hour each day talking on your phone. This means voice calls and not texting. Video calling could also be part of voice calling, though it will depend on how your cell phone company structures the cell phone plan.

Anyways, let's go with 1 hour. This converts to 60 minutes.

If you talk for 60 minutes per day, then you spend 60*30 = 1800 minutes per month talking on the phone. This is an average value. I'm using 30 days per month.

Answer: 1800 minutes

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

Problem 2

For each of the 6 companies, form their respective equations

x = number of minutes

y = total cost per month

We get the following equations for each company:

Rogers (all day plan): y = 0.25xFido: y = 0.20xTelus: y = 0.35xRogers (MY5 Prepaid): y = 0.25x+20Bell: y = 0.10x+10Public Mobile:  y = 0x+24 which simplifies to y = 24

With those 6 plans in mind, we will plug x = 1800 into each equation

Doing so leads to...

Rogers (all day plan): y = 0.25x = 0.25*1800 = 450Fido: y = 0.20x = 0.20*1800 = 360Telus: y = 0.35x = 0.35*1800 = 630Rogers (MY5 Prepaid): y = 0.25x+20 = 0.25*1800+20 = 470Bell: y = 0.10x+10 = 0.10*1800+10 = 190Public Mobile:  The monthly cost is $24 a month regardless of how many minutes you use. This is an unlimited minutes plan.

So we can see that clearly Public Mobile has the lowest cost per month at $24 a month. The cost per minute of $0 means that we have unlimited minutes here. The other costs are really high and far from $24. The next smallest value is $190, which is far from $24.

Is Public Mobile always the best choice? It depends. Refer to the chart below (attached image) and you'll see that the yellow cells are instances when Public Mobile isn't the cheapest option. However, note how small x has to be for this to occur and note how the yellow cells don't show up very often. Sure we could make more yellow cells pop up if we used even smaller x values, but at a certain point, it's likely not to be realistic. Why have a cell phone plan if you don't use the minutes to talk on it? Of course, everyone is different.

Anyway, for the x value chosen in problem 1, the Public Mobile plan is the cheapest option at $24 per month.

Answer: Public Mobile

PLEASE HELP AND HURRY

Answers

Answer:

4.75x=54+2.5x    x=24

Step-by-step explanation:

x=Number of games

4.75x=54+2.5x

Subtract 2.5x from both sides:

2.25x=54

Divide both sides by 2.25:

x=24

Please help me with this homework

Answers

Answer:

4^6

Step-by-step explanation:

Answer:

THE ANSWER IS 4^6

Explanation:

=4^(2×3)

=4^6

A factory makes 640brushes in 4 hours.Does the equation y=150x model the number of brushes made each hour?

Answers

Answer:

No it doesn't

Step-by-step explanation:

The equation we have is

Y = 150x

We have x = 4 hours

This is a simple question. We have to plug in the x = 4 in the equation to find out if we would have 640 brushes. If y = 640, then it models it. But if y is not equal to 640, it doesn't.

So let's solve this to see for ourselves.

Y = 150(x)

We put the value of x

Y = 150(4)

Y = 600

So we can see that the equation does not model the number of brushes made each hour. This equation models 600 brushes and not 640.

Can you guys please help me

Answers

Answer:

540 degrees if that's what your looking for.

Step-by-step explanation:

A square always equals 360 degrees while a circle is the same thing. take the half of the circle to get 180 then add them together to get 540

Help Please & thanks!

Answers

Answer:

14 out of the total class of 35 are boys

Step-by-step explanation:

35 / 5 = 7

7 * 2 = 14

One of the tokens for a board game is a circle with a radius of 15 millimeters. Which measurement is closest to the circumference of the token in millimeters?

Answers

Answer:

The circumference of the circle is approximately 92 mm

Step-by-step explanation:

For us to be given the radius of the tokens it is safe for us to make the assumption that the token is circular in shape. Thus, we can solve the problem using various theories in circle geometry.

We will use the circumference equation to estimate the circumference of the circle, assuming the value of π is = 3.14

The circumference of a circle can be given as 2 X π X radius

This will be 2 X 3.142 X 15 = 94.247 ≈92mm

Therefore, the circumference of the circle is approximately 92 mm

What does 18tt mean?

Answers

Answer:

Definition of 18T - 18T stands for Tatum Airport.

Step-by-step explanation:

Cheddar cheese costs $3.45 per pound. Which equation best represents the total cost, c, of pounds, p, of cheddar cheese?

Answers

Answer:

c = 3.45 * p

Step-by-step explanation:

Since the total cost of Cheddar Cheese is dependant on the number of pounds that are being purchased then to calculate the total cost we would need to multiply the price per pound by the number of pounds being purchased. Therefore, the following equation would best represent the total cost of the cheddar cheese...

c = 3.45 * p

**EXTRA POINTS**
Find the location of the point A after a translation of 9 units up

Answers

Answer:

(-1, 3)

because it goes up 9, -6+9 = 3

the original point is (-1, -6)

Answer:

it would be at. 3,-1 on the left top side on the plot

A taxi driver charges $4.00 plus $2.00 per minute. How long was a ride that cost $16.00? Draw algebra tiles to model and solve the equation

Answers

Answer:

12

Step-by-step explanation:

Help me with this pls

Answers

Answer:

the diameter is 6 units

Step-by-step explanation:

3×2=6

the diameter would be 6 I think

Jaylin has a scale model of a train. 2 cm in the model represents 3 feet in a real train. The height of the model train is 10.2 cm. What is the height of the rail train?

Answers

Answer:

the height of the rail train is 15.3 feet

Step-by-step explanation:

The computation of the height of the rail train is given below:

= Height of the model train ÷ 2 cm × real train

= 10.2 cm ÷ 2 cm × 3 feet

= 15.3 feet

Hence, the height of the rail train is 15.3 feet

We basically applied the above formula in order to get the height of the rail train

What is the area of triangle ABC? Round to the nearest tenth of a square unit. Triangle A B C is shown. The length of side A C is 10 and the length of C B is 13. Angle B A C is 64 degrees and angle A C B is 72 degrees. Trigonometric area formula: Area = 54.9 square units 58.8 square units 61.8 square units 64.1 square units

Answers

The area of the given triangle ABC is 61.8 Square units.

What is the area of a triangle?

The entire area filled by a triangle's three sides on a two-dimensional plane is referred to as the triangle's area.

Given that, a triangle ABC. whose side AC is 10 and BC is 13. and two angles ∠ACB and ∠BAC are 72° and 64° respectively. since area of a triangle = 1/2 * multiple of two sides * sin(angle made by those side)

Hence,

area of triangle ABC = 1/2 * AC * BC *sin(∠ACB)

Area of the triangle = 1/2 * 10 * 13 * sin 72° = 61.8

Therefore, the area drawn by the given triangle ABC is 61.8 square units.

Learn more about the area of the triangle here:

https://brainly.com/question/19305981

#SPJ5

The area of the triangle is A = 61.8 units²

What is a Triangle?

A triangle is a plane figure or polygon with three sides and three angles.

A Triangle has three vertices and the sum of the interior angles add up to 180°

Let the Triangle be ΔABC , such that

∠A + ∠B + ∠C = 180°

The area of the triangle = ( 1/2 ) x Length x Base

For a right angle triangle

From the Pythagoras Theorem , The hypotenuse² = base² + height²

if a² + b² = c² , it is a right triangle

if a² + b² < c² , it is an obtuse triangle

if a² + b² > c² , it is an acute triangle

Given data ,

Let the triangle be represented as ΔABC

Now ,  length of side AC is 10 and the length of CB is 13.

Angle BAC is 64° and angle ACB is 72°

Now , the area of the triangle is A = ( 1/2 ) x Length x Base ( sin 72° )

A =  1/2 ( 10 ) ( 13 ) sin 72°

A =  61.8 units²

Hence , the area is A = 61.8 units²

To learn more about triangles click :

https://brainly.com/question/16739377

#SPJ7

Help pls i give brainliest

Answers

x = 2

plugging this in shows that
m

Find the solution set of the following equations:

2y=2x+7

X=y+2

Answers

Answer:

The system of equations has no solution.

Step-by-step explanation:

Given the system of equations

2y = 2x+7

x = y+2

solving the system of equations

[tex]\begin{bmatrix}2y=2x+7\\ x=y+2\end{bmatrix}[/tex]

Arrange equation variables for elimination

[tex]\begin{bmatrix}2y-2x=7\\ -y+x=2\end{bmatrix}[/tex]

Multiply -y+x=2 by 2:  -2y+2x=4

[tex]\begin{bmatrix}2y-2x=7\\ -2y+2x=4\end{bmatrix}[/tex]

so adding

[tex]-2y+2x=4[/tex]

[tex]+[/tex]

[tex]\underline{2y-2x=7}[/tex]

[tex]0=11[/tex]

so the system of equations becomes

[tex]\begin{bmatrix}2y-2x=7\\ 0=11\end{bmatrix}[/tex]

0 = 11 is false, therefore the system of equations has no solution.

Thus,

No Solution!

Are you sure about the answer?

Answers

Answer:

I guess! Sorry, which answer are you talking about?

Step-by-step explanation:

Answer:

WHAT ANSWER WHERE IS IT

Step-by-step explanation:

How can you use the relationship between side lengths to determine when 3 lengths form a triangle
HELP PLEASEE

Answers

Answer:

x+4=y+x

Step-by-step explanation:

Other Questions
Can someone plz help me with these problems (ZOOM IN TO SEE )!! Help plzzz, if a question has more than one answer, pur both letters! Plzz I need 5 letters, this is the third time Im posting this for help, someone plzzzz help!! How should 23,050 be written using expanded form? Find the square root of the number -48 Lindsey Paradise is not selected for her sorority of choice at the University of Kansas. She has used all of her time rushing to that particular sorority, which chooses some of her friends but not her. She is disappointed and angry and wants to sue the sorority. What are her prospects of the recovery in the legal system? Which statement best fills in the blank on the diagram above?Counted slaves as 3/5ths of a person for taxation and representationThe national government would assume state debtsGave more power to state governmentsGave more power to national government suggest why you cannot compare the reactivity of sodium and potassium using displacement reactions in solution pls anwer,i really need help. The quotient of two integers is alwaysan integer"This statement:Ais true.Bis false. does not provideenough information. Policies can only be applied on a national level.Please select the best answer from the choices providedTF What is the value of the expression 2 + 5 if = 3 Matthew bought a suitcase marked down from $90 to $81. What is the discount percentage? Which of the following is the equation of the line of best fit? Sarah colored 1/2 of some birthday cards, and Rana colored 3/8 of them. If there are 32 cards in all, how many are left to be colored? why did the zimmermann telegram alarm the U.S goverment? Think of Dillards overall message. What purpose could using graphic detail serve? horrify the reader none, its just gross appeal to an audience used to violence show the violent instinct of animals Which of the following is the shortcut to quickly save a PowerPoint presentation? Pressing Ctrl+Shift+S will save the slides.Pressing Ctrl+S will save the slides.Pressing F12 will save the slides.Pressing Shift+S will save the slides. Helpppppppppppppp pleaseeeeee Is EF and GH parralel and how can this be determined? Robin and Evelyn are playing a target game. The object of the game is to get an object as close to the center as possible. Each players score is the number of centimeters away from the center. Robins mean is 107, and Evelyns mean is 138. Compare the means. Explain what this comparison indicates in the context of the data. Who is winning the game? Why?ANSWER BELOW for 1st one:Eveyn's Robins means : 138 means: 107So Eveyns mean is greater than Robins beacuse 138 is greater than 107- THXS FOR LOOKING AND ANOTHER ANSWER IF YOU DONT WANT TO USE THE FIRST ONE PLUSE THEY ARE BOTH RIGHT Answer for 2 one : Evelyn has the greater mean. It indicates that, on average, her objects landed farther away from the center than Robins. This difference means that Robin is winning the game.