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
yan [13]
3 years ago
7

A factory sells backpacks for $40 each. The cost to make 1 backpack is $10.00. In addition to the costs of making backpacks, the

factory has operating expenses of $12,000 per week. The factory’s goal is to make a profit of at least $980 each week. What is the inequality for the number of backpacks ,x, that need to be sold each week for the factory to meet this goal? How many backpacks must the factory sell to meet its weekly goal? Also give a statement.
Mathematics
2 answers:
Galina-37 [17]3 years ago
6 0
980= (40-10)x - 12000= amount of PROFIT
12,980 = 30x; divide both sides by 30; and you get x=432.67
So the company would need to sell at least 433 backpacks to make a profit of at least 980 per week
Hatshy [7]3 years ago
4 0

Answer: x (40-10) -12000≥980

The factory must sell 433 backpacks to meet its weekly goal.

Step-by-step explanation:

Hi, to answer this question we have to write an inequality.

So, since the backpacks (x) are sold by $40 and the cost of making one is $10, the revenue per bag is equal to 40x and the cost is 10x.

12,000 of operating expenses are also expenses.

So, for the profit:

<em>Profit = revenue- cost </em>

P = 40x-10x-12,000

P = x (40-10)-12000

The factory goal is to make a profit of at least $980 each week, so, the profit must be greater or equal than 980.

x (40-10) -12000≥980

Solving for x

30x-12000≥980

30x≥980+12000

30x ≥12980

x≥12980/30

x≥432.6

x≥433 (rounded, because if the sell 432 they will not meet the goal)

The factory must sell 433 backpacks to meet its weekly goal.

You might be interested in
1/4 (84x - 100)=?<br><br>I can't solve it! please help me!
slamgirl [31]
The answer is 21x-25 because all you have to do is multiply the 1/4 by the 84x and then multiply 1//4 by negative 100. A simpler way of explaining this is just that you need to distribute
4 0
3 years ago
Please help. Write as a single logarithm, a) log(13)+log(4) b) log(small 5)(14)-log(small 5)(2)
dsp73

Answer:

a) \log 52

b) \log_57

Step-by-step explanation:

Use logarithm properties:

\log_ab+\log_ac=\log_a(b\cdot c)\\ \\\log_ab-\log_ac=\log_a\dfrac{b}{c}

Then

a) \log 13+\log 4=\log 13\cdot 4=\log 52

b) \log_514-\log _52=\log _5\dfrac{14}{2}=\log _57

7 0
3 years ago
If you were trying to find out how far students could jump and you thought that there would be a wide variety of distances, whic
Sever21 [200]

Answer:

A

Step-by-step explanation:

Because then you can find who jumped the farthest

3 0
2 years ago
Estimate 137,638 plus 52,091
seraphim [82]
First round
137,638=100,000
52,091=50,000
Then add to get the estamate
100,000
+
  50,000
150,000
Then to get the real answer add
      1
137,638
+
   52091
 189,729



8 0
3 years ago
Read 2 more answers
What is the answer to 5/8 . 2/7 and what does the dot stand for the dot is actually a little higher
Illusion [34]
First, the dot stands for the "product". You have to multiply.

5/8* 2/7
= [5/ (2*4)]* (2/7)
= 5/4* 1/7 (because 2 and 2 cancel out)
= (5*1)/ (4*7)
= 5/28

The final answer is 5/28~
6 0
3 years ago
Read 2 more answers
Other questions:
  • Gas mileage is the number of miles you can drive on a gallon of gasoline. A test of a new car results in 535 miles on 21 gallons
    8·1 answer
  • Water is being drained out of the pool. The height of water decreases at a constant rate of 15% per hour. The original height of
    5·1 answer
  • 8.76× 10 6  is  times  than 8.76× 10 2 .
    7·1 answer
  • A quadratic equation is shown: x2 + 18x + 76 = 0 Which of the following is the first correct step to write the above equation in
    10·1 answer
  • Write the equation of the line fully simplified slope-intercept form​
    10·1 answer
  • What is the value of y?<br><br><br><br> Enter your answer in the box.
    8·1 answer
  • What's the linear equation?
    12·2 answers
  • Determine if the graph shows two quantities that vary directly. If possible, determine the constant of proportionality using the
    8·1 answer
  • Find the solution to the system<br> of equations.<br> ([?], [ ]
    8·1 answer
  • 12 more than janelle's score is 74
    6·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!