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

Micah is a busy college student. He carries a full load of classes and works a full time job to support himself financially while in college. Last semester, his total number of hours between job and classes each week usually amounted to about 80 hours. He has decided that he cannot do so many hours each week this semester. He feels that he has to cut back to about 80% as many hours. If half of his hours are to be school hours, how many school hours will he spend each week this semester?

Answers

Answer:

32 school hrs in a week.

Step-by-step explanation:

The reduction percentage =

80 x 0.80 = 64  (hrs)

The distribution =

64/2 = 32hrs

A box contains 20 miniature golf putt-putt balls; 10 are

yellow, 6 are red, and 4 are pink. What is the probability of

picking a red golf ball, replacing it, and then picking a

yellow golf ball? Written as a percent?

Answers

Answer: The answer is provided below

Step-by-step explanation:

From the question, a box contains 20 miniature golf putt-putt balls out of which 10 are yellow, 6 are red, and the remaining 4 are pink.

The probability of picking a red golf ball will be:

= 6/20 × 100

= 600/20

= 30%

If the red ball is replaced, the probability of picking a yellow golf ball will be:

= 10/20 × 100%

= 50%

Which of the following is the factored form of the quadratic *
12x^2+5x-2=0

1.(4x - 1)(3x - 2)
2.(4x - 1)(3x + 2)
3.(4x + 1)(3x - 2)

Answers

Answer:

2

Step-by-step explanation:

[tex]12x^2+5x-2=\\\\(4x-1)(3x+2)[/tex]

You can check this by working backwards and expanding:

[tex](4x-1)(3x+2)=\\\\12x^2-3x+8x-2=\\\\12x^2+5x-2[/tex]

Hope this helps!

please help me w dis!! marking brainiest!!!

Answers

Answer:

D

Step-by-step explanation:

Distributing the factors we get

-8x^2 -6x +35

The expression (3x2 + 2xy + 7) − (6x2 − 4xy + 3) is Equivalent to −3x2 − 2xy + 4 3x2 − 2xy + 4 −3x2 + 6xy + 4 3x2 − 6xy − 4

Answers

Answer:

[tex]-3x^2+6xy+4[/tex]

Step-by-step explanation:

[tex](3x^2+2xy+7)-(6x^2-4xy+3)=\\\\3x^2-6x^2+2xy+4xy+7-3=\\\\-3x^2+6xy+4[/tex]

Hope this helps!

Answer:

3x2-6xy

Step-by-step explanation:

I think i dont know

The price of an item has been reduced by 15%. The original price was $17

Answers

Answer:

17/100*85= $14.45

Step-by-step explanation:

Divide by 100 and multiply by (100-15) 85 to get the result.

Find the slope and the y-intercept of the graph of the linear equation. y = −7x + 2 *

Answers

Answer:

slope = - 7, y- intercept = 2

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = - 7x + 2 ← is in slope- intercept form

with slope m = - 7 and y- intercept c = 2

PLEASE HELP!! QUICK. MULTIPLE CHOICE

Answers

Question 3 answer is C

Answer:

4 is a

Step-by-step explanation:

Henry places £6000 in an account which pays 4.6% compound interest each year. Calculate the amount in his account after 2 years.

Answers

Answer:

6564.696

Step-by-step explanation:

A=6,000×(1+0.046)^(2)

A=6,564.696

LAST QUESTION AND LAST TRY!!! WILL GIVE BRANLIEST!!!! AT LEAST TAKE A LOOK, SHARE YO SMARTNESSS!!!!!!!! PLS


What geometric construction is in progress in the image?

A) Constructing an interior arc
B) Bisecting a ray
C) Copying an angle
D) Bisecting an angle

Answers

Answer:

Bisecting an Angle.

Step-by-step explanation:

This image shows the Bisection of an Angle. The 'x' shaped mark between the angle is formed when a protractor is used to mark the place in which a ray must pass through the center of the 'x' to be an equal bisection of the angle. This shows that the process that is being undergone is finding the bisection of the angle.

Answer:

bisecting an angle

just took the test!

Step-by-step explanation:

What is the nth term in the sequence: 15, 22, 31, 42, 55

Answers

Counting by seven’s then 9 then 10 then 13

Please help me simplify these expressions

Answers

Answer: First answer is a^2 b^3. Second one is 3m^2n^5. Thrid is 15x^7y^3

Step-by-step explanation:

1.  there is no numbers to multiply together, so just add the a's and b's

2.3 stands alone. add the m's and n's together. getting m^2 and n^5

3. Do 5*3 getting 15, add the x's together, same with the y's getting the answer of 15x^7y^3

Lmk if it helps. :)

climate scientists use computer models to predict the likely change in global average temperature under various assumptions about CO2 production. What type of data source is this?​

Answers

Answer:

[tex]\fbox{\begin{minipage}{10em}Option A: Simulation \end{minipage}}[/tex]

Step-by-step explanation:

The data is not collected from the world outside, but a computer.

=> The data can be generated under assumption from simulation only.

=> Option A is correct.

Hope this helps!

:)

Answer:

  a.  Simulation

Step-by-step explanation:

A computer model is generally a simulation of the real world. Certainly, a model of Earth's climate is a simulation.

__

In some cases, the data of interest is the performance of the computer itself (as opposed to some system outside the computer). In those cases, the running of the computer under different scenarios might be considered an experiment.

A circle fits in a square with sides of 12 inches what is the appt area of the shaded region. Between the square and circle using 3.14 and round to nearest whole number

Answers

Answer:

144-36π sq. in.

Step-by-step explanation:

Please help! Correct answer only!
For a fundraiser, there is a raffle with 100 tickets. One ticket will win a $150 prize, and the rest will win nothing. If you have a ticket, what is the expected payoff?


$ ___

Answers

Answer:

Expected Payoff ⇒ $ 1.50 ; Type in 1.50

Step-by-step explanation:

Considering that 1 out of the 100 tickets will have a probability of winning a 150 dollar prize, take a proportionality into account;

[tex]100 - Number of Tickets,\\1 - Number of Tickets You Can Enter,\\\\1 / 100 - Probability of Winning,\\$ 150 - Money Won,\\\\Proportionality - 1 / 100 = x / 150, where x - " Expected Payoff "\\\\1 / 100 = x / 150,\\100 * x = 150,\\\\Conclusion ; x = 1.5 dollars[/tex]

Thus, Solution ; Expected Payoff ⇒ $ 1.50

(1) a) 5270 cl= ? dal

b) 5,3 kl= ? hl

c) 58000 ml= ? dal

d) 0,39 dal = ? l

e) 7,8 dal = ? dl

f) 57,2ml= ? cl

(2)

a) 3,7 l= ? cm3

b)29,6 dm3 = ? cl

c)8,1 l = ? cm3

d) 5 l= ? m3

e) 5,2 cl = ? mm3

f) 375 ml = ? cm3

g) 1300cm3 = ? dl

h) 8,6 ml = ? mm3

i) 51,8 × 10 la puterea a 11 a litri= ? Km3

Answers

Answer:

Check below

Step-by-step explanation:

1) These metric volume units can be easily converted by dividing or multiplying by 10 and its multiple. Like this: each step up on the ladder multiply by 10. Each step down divide by 10

[tex]a)5270 \:cl=527\:dl\\b)kl=5.3 \times 10=530 hl\\c)58000ml=5.8 dal =(\frac{58000}{10000})\\d)0.39 dal=3.9 l\\e)7.8 dal=780 dl\\f)57.2 ml=5.72 cl[/tex].

2) When it comes to area, the "ladder scheme" remains valid but now we'll multiply or divide by

[tex]10^3[/tex]

Bear in mind these useful relations:

[tex]1litre =\frac{1}{10^3}m^{3}[/tex]

[tex]1 cm^{3} =1 ml[/tex]

[tex]a) 3.7 l=3700 cm^{3}\\b)29.6 dm^{3}\\29.6 dm^{3} \rightarrow 29.6\times10^{3} cm^3=29.6\times10^{3} ml = 29.6\times10^{2} cl \:or\:2960 cl\\c)8.1l=8100 cm^{3}\\d)5l=\frac{5}{10^{-3}} m^{3}\\e)5.2 cl=52ml=52 cm^{3}=52\times10^{3}=52000 \:mm^{3}\\f)375 ml=375 cm^{3}\\g) 1300 cm^{3}=1300 ml=13 dl\\h) 8.6 ml= 8.6 cm^{3}\times\: 10^{3}=8600 mm^{3}\\i) 51.8\times 10^{11} l \rightarrow 51.8\times 10^{-11}km^{3}[/tex]

Find all missing angles.

Answers

Answer:  

m<1 = 51

m<2 = 34

m<3 = 95

m<4 = 38

m<5 = 47

m<6 = 74

m<7 = 59

Step-by-step explanation: because to get angle 1 you take 180 (because its is a straight line) and subtract the angle 129 giving you m<1 witch is 51. the second one is 180 - (m<1 + 95) =m<2 witch is 34 so m<2 = 34. third is the angle 95 because the lines that intersect give equal opposite angles so m<3 = 95. Four is 180 - (m<3 + 47) =m<4 witch is 38. fifth is opposite angle so it is 47. sixth is m<5 +m<6 + m<7 = 180 so m<5 is 47 and we can find m>7 by subtracting from 180 the angle 121 giving us m<7 = 59 so we will add m<5 and m<7 and subtract from 180 giving us m<6 witch is 74.    

Of the 100 students in the science club, 65 take mathematics, 43 take physics and 10 students take both mathematics and physics. How many science club students take neither mathematics nor physics? URGENT!

Answers

Answer:

2

Step-by-step explanation:

Add the students that take math and physics and subtract the ones that take both so that they are not double counted

65+43-10 =98

There are 100 students

100-98 =2

There are 2 that take neither math nor physics

help? Given the points (0, 9) and (2, 3) find the slope.

Answers

Answer:

Slope = -3

Step-by-step explanation:

Slope = [tex]\frac{rise}{run}[/tex]

Slope = [tex]\frac{3-9}{2-0}[/tex]

Slope = [tex]\frac{-6}{2}[/tex]

Slope = -3

ANSWER THIS AND I WILL FRIEND YOU!!! What is x? 2x(3+4x) *2 -5

Answers

Answer:

Step-by-step explanation:

[tex]2*(3+4x) *2 -5\\6+8x*2-5\\16x =-6-5\\16x = -11\\x = 11/16[/tex]

x/3 +2y/3= -1 and x-y/3=9 solve. by elimination method​

Answers

Answer:

X=51/7, Y= -36/7

Step-by-step explanation:

X/3 + 2y/3 = -1 equ 1

X - y/3 = 9 equ 2

eliminate X/3.

X/3 + 2y/3 = -1..... x 1 ( co-efficient of X in equ2 )

X - y/3 = 9 ...... x 1/3 ( co-efficient of X in equ1 )

X/3 + 2y/3 = - 1 equ 3

-

X/3 - y/9 = 3 equ 4

0 + 7y/9 = -4

y = -36/7

( input the value of y into equ 4 )

X/3 -y/9 = 3

X/3 - (-36/7)/9 = 3

X/3 + 36/63 = 3

X/3 = 3 - 36/63

X/3 = 153/63

63X = 459

X = 459/63

X = 51/7.

Describe and correct the error in finding the solution
(look at picture for problem)

Answers

Answer:

divide both sides by 2

Step-by-step explanation:

triangle jkl is similar to triangle tuv. find the missing side length of triangle tuv. JK=10in JL=8in KL=13in TU=7.5 UV=9.75 find TV

Answers

Answer:

TV=6 inch

Step-by-step explanation:

If Triangle JKL is similar to Triangle TUV, the following ratio applies.

[tex]\dfrac{JK}{TU}= \dfrac{KL}{UV}=\dfrac{JL}{TV}\\$JK=10in., JL=8in., KL=13in., TU=7.5., UV=9.75\\\dfrac{10}{7.5}= \dfrac{13}{9.75}=\dfrac{8}{TV}\\$Picking any two equal ratios\\ \dfrac{13}{9.75}=\dfrac{8}{TV}\\$Cross multiply\\13*TV=8*9.75\\TV=8*9.75 \div 13\\$TV=6 inch[/tex]

Help pls :/.

The net of a triangular prism and its dimensions are shown. What is the total surface area, in square inches, of the triangular prism?

A) 240 sq inches
B) 120 sq inches
C) 96 sq inches
D) 24 sq inches

Answers

Answer:

120 sq inches

Step-by-step explanation:

I just did the quiz just now

If you expand and simplify. -(y+2)(y-8)

Answers

Answer:

[tex]-y^2+6y+16[/tex]

Step-by-step explanation:

[tex]-(y+2)(y-8)[/tex]

[tex]-1(y+2) \times (y-8)[/tex]

[tex](-y-2)\times (y-8)[/tex]

[tex]-y(y-8)-2(y-8)[/tex]

[tex]-y^2+8y-2y+16[/tex]

[tex]-y^2+6y+16[/tex]

Jan lost 22 points on her exam. She got 11 questions wrong.
What integer represents the point value of each wrong answer?

Answers

Answer:

2

Step-by-step explanation:

22/11=2

Total points =50
Total points =100 because every exam has a total of 100 points.

Total points per each question = 100 / 50 =2

She was penalized two points for each wrong question

The area of a circle is 18pi square inches. If the area of a sector of this circle is 6pi square inches, then which of the following must be the sector's central angle?
Please help I’ll give you brainliest promise !

Answers

Answer:

240 degrees

Step-by-step explanation:

Mathematically, the area of a circle is

A = 2 * pi * r^2

we need to calculate the radius of the circle first

18pi = 2pi * r^2

divide both sides by 2pi

r^2 = 9

r = 3 inches

Area of sector = angle/360 * pi * r^2

6pi = angle/360 * pi * 3^2

6pi = angle/360 * 9pi

(360 * 6pi)/9pi = angle

40 * 6 = 240 degrees

Solve this system of equations by
using the elimination method.
x + y = 15
5x - y = 9

Answers

Answer:

x=4 and y=11

Step-by-step explanation:

x+y=15

5x-y=9

x+5x-y+y=15+9

6x=24

X=4

x+y=15

4+y=15

y=11

What is the slope of the line graphed below

Answers

Answer: D 2

Step-by-step explanation: Because slope is the diffrence between the two points y/x which is 6/3 which is equal to 2

Answer:

Slope= 2

Step-by-step explanation:

There are three steps in calculating the slope of a straight line when you are not given its equation.

Step One: Identify two points on the line.

Step Two: Select one to be (x1, y1) and the other to be (x2, y2).

Step Three: Use the slope equation to calculate the slope.

please mark me brainliest :)

Will went fishing. On the first cast, he hooked a fish 80 feet from the boat. Each time he reeled in 10 feet of line, the fish would take out 5 feet. How many times did Will have to reel in to get the fish to the boat?

Answers

Answer:

he reeled in 16 times

Step-by-step explanation:

time she reeled in 10 feet of line, the fish would take out 5 feet. How many times she have to reel in to get the fish to the boat? See answers (1) ... Or, you can just switch to normal browsing
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