1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
DanielleElmas [232]
2 years ago
5

Ace Electronics, Hi-Fi Stereo, and CD World buy a total of 195 DVD players from the same distributor each month. Because CD Worl

d 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?
Mathematics
1 answer:
polet [3.4K]2 years ago
3 0

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

You might be interested in
Are the equations m + 3 = -5 and m = -2 equivalent? Explain why or why not?
patriot [66]

Answer:

Step-by-step explanation:

When m+3=-5, collection of like terms says; -5-3

Now,-5+-3 = -8 and -2≠-8 hence,they aren't equivalent

7 0
3 years ago
Pablo's retirement party will cost $8 if he invites 4 guests. If there are 6 guests, how
mezya [45]

Answer:

$12

Step-by-step explanation:

Step 1:

$8 : 4 = x : 6

Step 2:

4x = 48

Answer:

x = 12

Hope This Helps :)

6 0
3 years ago
HELP PLEASE !?!? I suck at math
Anna35 [415]
To graph the equation, plot a few points then connect then with a line.

f(x) = 440 - 55x

Plug in numbers for x to get the y value.

f(0) = 440
f(1) = 385
f(2) = 330
f(3) = 275
f(4) = 220
f(5) = 165

So when you graph these points, the y intercept is y = 440 because the graph crosses the y axis at (0, 440).

The x intercept is where the graph crosses the x axis. This happens when y = 0.

0 = 440 - 55x. Solve for x.

55x = 440
x = 8

So the x intercept is x = 8




7 0
3 years ago
Solve each problem using a formula for perimeter or area<br> ill give brainliest!!!!!
Karolina [17]

Answer:

12) s=\frac{p}{5}

13) A=wh

14) p=a+b+c

15) A=\frac{bh}{2}

16) p-b-c=a

Step-by-step explanation:

12) \frac{p}{5} =\frac{5s}{5}

13) \frac{A}{h}=W (multiply both sides by h)

14) take c to the other side of the equation( other side of the equal sign) it becomes a positive value

15) Divide both sides by 2

16) take b + c to the other side of the equation where it becomes -b-c

3 0
3 years ago
Read 2 more answers
Find the mean of these numbers : 35,42,41,32,30
abruzzese [7]

Answer:

156

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
Other questions:
  • Compare 7 x 103 and 5 x 102. A) 7 x 103 is 14 times larger than 5 x 102. B) 7 x 103 is 4 times larger than 5 x 102. C) 7 x 103 i
    5·1 answer
  • Help me asap !!!!!!! please please please show ur work
    7·1 answer
  • What is the slope of the line through (6,9)(6,9)(, 6, comma, 9, )and (7,1)(7,1)(, 7, comma, 1, )?
    10·1 answer
  • If the perimeter is 84cm and the length is 32 ft what is the width
    12·2 answers
  • An expression has an equal sign.
    12·1 answer
  • Convert the following into the standard form of a circle.<br> 100 = 3(x - 2)2 + 3(y + 3)2
    10·1 answer
  • What is x the second term in thr geometric series 1/4+×+1/36+1/108+...?
    13·1 answer
  • Find the sum 9/10 + 4/100 =?
    10·1 answer
  • How much is 2000mg in grams?
    11·2 answers
  • Using the identity sine + cos²0 = 1, find the value of tan 8, to the nearest hundredth, if cos 0 is -0.7 and 8 is in Quadrant II
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!