Ace Electronics, Hi-Fi Stereo, and CD World buy a total of 195 DVD players from the same distributor each month. Because CD World buys 35 more units than the other two stores combined, CD World's cost is only $160 per unit. The players cost Hi-Fi $165 each and Ace $170 each. How many players does each retailer buy each month if the distributor receives $31,750 each month from the sale of the players to the three stores?

Answers

Answer 1

Answer:

Ace Electronics buys 30, Hi-Fi Stereo buys 50, and CD World buys 115

Step-by-step explanation:

Let x represent the number of items Ace Electronics buys

Let y represent the number of items Hi-Fi Stereo buys

Let z represent the number of items CD World buys

Since Ace Electronics, Hi-Fi Stereo, and CD World buy a total of 195 DVD players:

x + y + z = 195   (1)

Since CD World buys 35 more units than the other two stores combined:

z = x + y + 35   (2)

If you substitute z in equation 1 from equation 2:

x + y + (x + y + 35) = 195

2(x + y) = 195- 35

x + y = 80   (3)

Since z = x + y + 35:

z = 80 + 35

z = 115

Since CD World's cost is $160 per unit, Hi-Fi 's cost is $165 per unit and Ace Electronics's cost is $170 per unit and the total payment received is $31,750

170x + 165y + 160z = 31750   (Substitute x from equation 3 and z as 115)

170(80-y) + 165y + 160(115) = 31750

13600 - 170y  + 165y + 18400 = 31750

32000 - 5y = 31750

5y = 250

y = 50

Since x + y = 80:

x + 50 = 80

x = 30


Related Questions

Please help! Correct answer only!
For a fundraiser, there is a raffle with 125 tickets. One ticket will win a $500 prize, and the rest will win nothing. If you have a ticket, what is the expected payoff?

$___

Answers

Answer:

$4

Step-by-step explanation:

Since for each of the 125 tickets there is an equal chance of winning the 500 dollars, for each ticket there is an expected payoff of 500/125=4 dollars. Hope this helps!

What is the square root of 25?
Show your work

Answers

Answer:

5

Step-by-step explanation:

The square root of a number is basically that number multiplied by itself.

for example, the square root of 4 is 2 because 2 x 2 is 4

the square root of 25 is 5 because 5 x 5 = 25

Answer:

root 25 = 5

Step-by-step explanation:

because when we will do the prime factorisation then at your left side 5x5 will come aand at right side will come so, 5x5 = 25 .

please mark my answer as a brainliest answer and follow me

Maureen worked 48 hours last week. Her hourly rate is $8.00. How much did she earn in overtime pay?

Answers

1 hour = $8.00

48 hours = $8 x 48

48 hours = $384

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

Answer: $384

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

What is the range of the function g for the given domain?
g(x) = 2x - 5
D = (-2, 0, 2, 4)

Answers

Answer:

R = {-9, -5, -1, 3}

Step-by-step explanation:

To find the range, plug in each value of the domain into the given equation for x.

g(-2) = 2 (-2) - 5 = -9

g(0) = 2 (0) - 5 = -5

g(2) = 2 (2) - 5 = -1

g(4) = 2 (4) -5 = 3

Answer:

R = {-9, -5, -1, 3}

Step-by-step explanation:

We can determine the range of the function g by inputting each given domain value into the function itself.

g(x) = 2x - 5 and D = {-2, 0, 2, 4}

g(-2) = 2(-2) - 5 = -4 - 5 = -9

g(0) = 2(0) - 5 = 0 - 5 = -5

g(2) = 2(2) - 5 = 4 - 5 = -1

g(4) = 2(4) - 5 = 8 - 5 = 3

Therefore, R = {-9, -5, -1, 3}.

I hope this helps!

The value of b when solving the equation 2 (6 + 12) = 16 is:

Answers

Answer:

Step-by-step explanation:

2(6+12)=16

2 X 6 +  2  X  12

12     +     24

       26  =  16

HOPE U GE5T IT

Brenda collected this data from an experiment.


For the line of fit h = 0.6t + 0.44, what is the residual of the data point at t = 11?

Answers

Answer:

7.04

Step-by-step explanation:

To get the value of residual of the data point, we simply substitute 11 for t

The substitution equation is h = 0.6t + 0.44

Substituting 11, we have

h = 0.6(11) + 0.44

h = 6.6 + 0.44

h = 7.04

Answer:

The residual of the data point h = 0.6t + 0.44, is h = 7.04.

Step-by-step explanation:

Given the line of fit, h = 0.6t + 0.44, which Brenda collected from an experiment, at the point t = 11, the residual of the data point is obtained by replacing t with 11 in the given equation h = 0.6t + 0.44.

Doing this, we have

h = 0.6(11) + 0.44

h = 6.6 + 0.44

= 7.04

This is what we want to obtain.

The smallest angle of rotational symmetry for a regular polygon is 30°. How many sides does the regular polygon have?

Answers

The answer should be 12

*I WILL MARK YOU BRAINLIEST!!!!*

Answers

Answer:

I believe it's c.

Step-by-step explanation:

Starts and includes 2, goes until and includes 5.

Answer:

C

Step-by-step explanation:

Domain represents the possible x-values and the line on the graph only runs through x-values between 2 and 5.

help please, I don't know it please​

Answers

Answer:

second payment from the left

Step-by-step explanation:

A car loan should decrease as time passes when you make regular payments

This should be the second payment from the left

Pat has 4 flowerpots, and she wants to plant a different type of flower in each one. There are 7 types of flowers available at the garden shop. In how many different ways can she choose the flowers?

Answers

Answer: 28

Step-by-step explanation:

times 4 and 7 seven and get your answer

the answer is 28:)

7x4=28

Find the percent increase in volume when 1 foot is added to each dimension of the prism. Round your answer to the nearest tenth of a percent. Percent increase ≈ %

Answers

Answer:

The percentage increase in volume of the prism is impossible to find. This is because the current dimension or the diagram from which the dimension of the prism could be determined is not given.

However I will explain the methods to follow in finding this percentage increase, assuming that the current dimension of the prism is given.

Step-by-step explanation:

Assuming the volume the of prism is x ft³. After adding 1 ft to each dimension, the volume becomes y ft³.

The percentage increase = (y/x) × 100

= z%

That is,

Percentage increase = [(New volume) ÷ (Old volume)] × 100

The resulting value, z% is the percentage increase.

A quadrilateral-shaped land property is drawn on a coordinate grid. Two adjacent sides of the property lie along the lines y = 4x + 8 and y = – 0.25x – 9, with one corner of the property at the intersection point P of the lines. One of these sides ends at an oak tree located at (–1, 4) and the other side ends at a pine tree located at (4,–10).

What are the coordinates of the point where the two lines intersect?

Answers

Answer:

P(-4,-8)

Step-by-step explanation:

Given two lines:

[tex]y = 4x + 8;$ and $ \\y = -0.25x - 9[/tex]

To determine the point of intersection P of the lines, we equate the two lines and solve for (x,y).

[tex]4x + 8= -0.25x - 9\\4x+0.25x=-9-8\\4.25x=-17\\$Divide both sides by 4.25$\\x=-4\\$Recall:$\\y = 4x + 8\\=4(-4)+8\\=-16+8\\=-8[/tex]

Therefore, the intersection point P of the lines is: P(-4,-8)

What is the value of i^n if the remember of n/4 is 2

Answers

Answer: 1

Step-by-step explanation:

If n/4 = 2, then n = 8

[tex]i^8 = i*i*i*i*i*i*i*i\\i*i=-1\\i^8=(-1)(-1)(-1)(-1) = 1*1 = 1[/tex]

Can anybody help me solve for surface area?


(Formula=add all the areas of the faces)

Answers

Answer:

230.3cm^2

Step-by-step explanation:

surface area: sum of all faces

base: 12 x 2.5 = 30cm^2

back: 84 cm ^2

cross section x 2 = 7 x 2.5 = 17.5

use Pythagoras theorem to find the width of slope: 7^2 + 2.5^2 = 49 + 6.25 = 55.25. square root of 55.25 = 7.4

so, area of slope : 7.4 x 12 = 88.8cm^2

sum of all areas: 114 + 106.3  = 230.3

What is the solution to the system of equations below?
2x-y= 10 and y=-
--3x+5
(6,2)
(6,-2)
(-6, -22)
(-6,8)

Answers

(6,2) because X would equals 6 multiplied by 2 equals 12. Now minus 2 and that gives you a equilibrium of 10

What is the theoretical probability of a bulb to be switched on?

Answers

Answer:

1/2

Step-by-step explanation:

Sample space, S =  ON, OFF

⇒n(S) = 2

n(E) = ON = 1

P(E)  = 1/2

Answer:

b

Step-by-step explanation:

bc

Can someone please help me??

Answers

Answer:

A∪B = {0,1,3,5,6,7,9}

A∩B = {3}

Step-by-step explanation:

A = {1,3,5,7}

B = {0,3,6,9}

Now

A∪B is a union (unity) of both sets

A∪B = {0,1,3,5,6,7,9}

Now

A∩B is the intersection(common elements) of both sets

A∩B = {3}

Answer:

Step-by-step explanation:

A ={1, 3 , 5 , 7}

B= {0, 3 , 6 , 9}

A U B is a set of all distinct elements that are in A or B

A U B = {0, 1 , 3 , 5 , 6 , 7 , 9}

A ∩ B is a set  of all distinct elements that are in both A & B

A  ∩ B = {3}

Salvador has saved 130 sand dollars and wants to give them away equally to n friends. How could you write this?

Answers

Answer:

[tex]\frac{130}{n}[/tex]

Step-by-step explanation:

Each friend would get [tex]\frac{130}{n}[/tex] sand dollars.

As they would get an equal proportion based on the population size.

Which is the value of this expression when x = negative 2 and y = negative 3? 10 x cubed y squared Negative 720 Negative 360 360 720

Answers

Answer:

Step-by-step explanation:

10x^3y^2

10(-2)^3 * (-3)^2 = -720

Answer: Negative 720

Step-by-step explanation:

-2 * -2 * -2 = -8

10 * -8 = -80

-3 * -3 = 9

-80 * 9 = -720

What is the range of the function 2x + y = 7
if the domain is {-4, -2,0, 5, 7)?​

Answers

Answer| range: {15, 11, 7, -3, -7}

Step-by-step explanation:

Plug in the domain to find the range:

x = 4

2(-4) + y = 7

-8 + y = 7

y = 15

x = -2

2(-2) + y = 7

-4 + y = 7

y = 11

x = 0

2(0) + y = 7

0 + y = 7

y = 7

x = 5

2(5) + y = 7

10 + y = 7

y = -3

x = 7

2(7) + y = 7

14 + y = 7

y = -7

Which is a zero of the quadratic function f(x) = 16x2 + 32x − 9? x = –5.25 x = –2.25 x = –1.25 x = –0.25

Answers

Answer:

answer b -2.25

Step-by-step explanation:

The zero of the quadratic function f(x) = 16x2 + 32x − 9 is -2.25

How to determine the zero?

We have:

f(x) = 16x^2 + 32x - 9

Next, we test the options.

x = –5.25

f(-5.25) = 16(-5.25)^2 + 32(-5.25) - 9

Evaluate

f(-5.25) = 264 --- this is false

x = –2.25

f(-2.25) = 16(-2.25)^2 + 32(-2.25) - 9

Evaluate

f(-2.25) = 0 ---- this is true

Hence, the zero of the quadratic function f(x) = 16x2 + 32x − 9 is -2.25

Read more about quadratic function at:

https://brainly.com/question/1214333

#SPJ9

What is 2 with an exponent of -2 equal to?

Answers

Answer:

[tex] \boxed{\frac{1}{4} } [/tex]

Step-by-step explanation:

[tex]{2}^{ - 2} = \frac{1}{ {2}^{2} } \\ \\ \: \: \: \: \: \: \: \: \: = \frac{1}{4} [/tex]

[tex] Negative \: exponent \\ \\ = > {a}^{-x} = \frac{1}{{a}^{x}} [/tex]

Answer:

[tex]=\frac{1}{4}[/tex]

Step-by-step explanation:

[tex]2^{-2}\\\mathrm{Apply\:exponent\:rule}:\quad \:a^{-b}=\frac{1}{a^b}\\2^{-2}=\frac{1}{2^2}\\=\frac{1}{2^2}\\2^2=4\\=\frac{1}{4}[/tex]

An athletics squad trains on a long straight track with dots marked at 10m intervals. The coach sets out cones on some of the dots for the squad's sprint training drills. She wants the squad to be able to run any distance which is a multiple of 10m, up to some maximum distance which depends on the number of cones.


Explain why it is not possible to place four cones A, B, C, D, in a line so that each multiple of 10m up to 70m can be run between two of the cones.

Answers

Answer:

There are 6 ways to run 10 m between two cones of the four cones giving a maximum available distance to run as 60 meters

Step-by-step explanation:

The parameters given are

Distance between two cones = 10 m

Number of cones = 4

Therefore, number of ways to choose two 10 m distances (distance between two cones) from the four cones = [tex]\binom{4}{2}[/tex] = 6

Hence there are only six 10 m distances to run between two cones which gives a maximum distance available to run as 60 m.

How many solutions does the nonlinear system of equations graphed below have? A. Zero B. One C. Two D. Four

Answers

Answer:

D, 4

Step-by-step explanation:

The graph crosses the x-axis 4 different times

Add or subtract (5x^2 + x-3) - (-2x^3 + 4)

Answers

Answer:

Step-by-step explanation:

(5x^2 + x-3) - (-2x^3 + 4)=2x³+5x²+x-7

Answer:

2x^3 +5x^2 +x -7

Step-by-step explanation:

(5x^2 + x-3) - (-2x^3 + 4)

Distribute the minus sign

(5x^2 + x-3) +2x^3 - 4

Combine like terms

2x^3 +5x^2 +x -7

Share £90 in the ratio 1:5

Answers

Answer:

the answer is

Step-by-step explanation:

if we take a and b as two pupil to share the money,then a gets

$15 and b gets $75

sum of the ratio is=6

a =1/6×$90

=$15

b=5/6×$90

=$75

21. A quantity of food would last a
family of 5 for 21 days. How long
would the same quantity last a
family of 7 if thev all eat at the same
rate?​

Answers

Answer:

15 days

Step-by-step explanation:

5 x 21 = 105

105/7 = 15

Answer:

15 days

Step-by-step explanation:

As the number of people in that family increases the time taken reduces, so the time is in inverse proportion to the number of people in that family.

Let the number of days taken by a family of 7 to finish a quantity of food be x.

⇒ [tex]\frac{x}{21}[/tex] = [tex]\frac{1}{\frac{7}{5} }[/tex]

⇒ [tex]\frac{x}{21}[/tex] = [tex]\frac{5}{7}[/tex]

⇒ x = [tex]\frac{21 * 5}{7}[/tex]

x = 15

∴ It would take a family of 7 15 days to finish a quantity of food.

Hope this helps!!!

Which is true regarding the graphed function f(x)?
f(Ο) =3
f(5) = -1
f(3) =2
f(2) = -2

Answers

Answer:

Step-by-step explanation:

cant seee the pic

I need help! Please

Answers

Answer:

Step-by-step explanation:

[1,2]

local maxima means curve is curved downwards.

in [1,2] it is curved downward.

Answer:

The answer is [1,2]

Step-by-step explanation:

Do you understand now.

Feel free to ask for further explanation

Solve the two-step equation. 3 4 (x) − 1.72 = −6.82 1. The first step is to on both sides. 2. The second step is to on both sides. The solution is x = .

Answers

Answer:

1. The first step is to  add 1.72  on both sides.

2. The second step is to  multiply by 4/3  on both sides.

3. The solution is x =  -6.8

Step-by-step explanation:

EDGE 2020

The value of x in the the two-step equation is -6.80.

What is the value of x in the equation?

In order to determine the value of x, take the following steps:

The first step is to combine similar terms together:

3/4x = -6.821 + 1.72

Add similar terms

3/4x = -5.101

Divide both sides of the equation by 4/3

x = -6.80

To learn more about division, please check: https://brainly.com/question/13281206

Other Questions
What is a adverb?Please explain and give a example: why were Many participants women when they went to church in the 1777-1834 6TH GRADE! please help MEEEE! what we will call the complete path of the circle What is the definition of acid ?WILL MARK BRAINLIEST (if the answer is good and hasn't been copied from google and the first one who answer the question ) Your electric drill rotates initially at 5.35 rad/s. You slide the speed control and cause the drill to undergo constant angular acceleration of 0.331 rad/s2 for 4.81 s. What is the drill's angular displacement during that time interval? Given that y varies directly with x in the table below, what is the value of y if the value of x is 7?2461060y12.2436V37420 0 0 04854 Quien me puede dar.El resultado por favor 4. Resuelvo las siguientes situaciones problemticas. En el depsito de materiales "Che rogar" se venden tejuelones en: paquetes de 15 tejuelones. paquetes de 50 tejuelones. y sueltos hasta 9 tejuelones. a. Estela pidi 138 tejuelones y le entregaron: 2 paquetes de 50, tambin 2 paquetes de 15 y 3 sueltos, Cuntos tejuelones le entregaron a Estela? Cuntos tejuelones es la diferencia para que Estela reciba todo el pedido realizado? Datos Operacin Respuesta: b. Don Antonio el constructor de la comunidad pidi: 3 paquetes de 50 tejuelones, tambin 4 paquetes de 15 tejuelones y 7 sueltos. Cuntos tejuelones llev Don Antonio? Datos solu what is the definition of congruent Find M aA.49B.35C.95D.275 A student drops two metallic objects into a 120 g steel container holding) 150 g of water at 25C. One object is a 253 g cube of copper that is initially at 85C, and the other is a chunk of aluminum that is initially at 5C. To the surprise of the student, the water reaches a final temperature of 25C, its initial temperature. What is the mass of the aluminum chunk? (please add an explanation) PLEASE HELP ASAP!!! How many 1/2-cup servings are there in 3/4 of a cup of cereal? Examine the details of the chisquare test and conclude in context. There is good evidence (cite P-value) of an association between treatment and outcome in the population of women just treated for a UTI. There were substantially fewer than expected women getting a UTI recurrence in the study among those drinking cranberry juice daily. The conditions for inference are not met. There is good evidence (cite P-value) of an association between treatment and outcome in the population of women just treated for a UTI. There were substantially fewer than expected women getting a UTI recurrence among those abstaining from both drinks. There is good evidence (cite P-value) of an association between treatment and outcome in the population of women just treated for a UTI. There were substantially fewer than expected women getting a UTI recurrence among those drinking Lactobacillus drink. There is good evidence (cite P-value) that, in the population of women just treated for a UTI, women drinking cranberry juice daily have fewer UTI recurrences, on average. Question Source: Baldi 4e - The Practice Of Statistics What is the value of y at the point where the graph of an equation crosses the x-axis? A lot of research has demonstrated that there is a relationship between the of employees and that of the customer A researcher conducts two studies. Study 1 uses a one-way between-subjects ANOVA. and Study 2 uses a within-subjects ANOVA. If the number of groups and participants per group are the same in each study, then in which study was the total number of participants larger? Explain. A candidate scored 32 marks out of 80,find his percentage score.A. 20% B.32% 0.40% D. 48% E80% VERY EASY QUESTION. WILL MARK BRAINLIEST The Ring of Fire is a string of volcanic sites in the Pacific Ocean that stretches between the Americas, Asia, and Australia. What is the most likely cause of this volcanic activity? The Earths core pushes through tectonic plates here There is a high number of convergent tectonic plate boundaries The melting of tectonic plates by particularly hot parts of the Earth's crust The explosion of energy as a result of a collision between two nearby tectonic plates Ajax Computer Company is an accrual-method calendar-year taxpayer. Ajax has never advertised in the national media prior to this year. In November of this year, however, Ajax paid $3 million for television advertising time during a "super" sporting event scheduled to take place in early February of next year. In addition, in November of this year the company paid $2,500,000 for a one-time advertising blitz during a professional golf tournament in April of next year. What amount of these payments, if any, can Ajax deduct this year Please please please help me Im about to fail Sensors are used to monitor the pressure and the temperature of a chemical solution stored in a vat. The circuitry for each sensor produces a HIGH voltage when a specified maximum value is exceeded. An alarm requiring a LOW voltage input must be activated when either the pressure or the temperature is excessive. Design a circuit for this application