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
wolverine [178]
3 years ago
7

A company that manufactures hair ribbons knows that the number of ribbons it can sell each week, x, is related to the price p pe

r ribbon by the equation below.
x = 1,000 − 100p
At what price should the company sell the ribbons if it wants the weekly revenue to be $1,600? (Remember: The equation for revenue is R = xp.)
p = $ (smaller value)
p = $ (larger value)
Mathematics
1 answer:
mel-nik [20]3 years ago
5 0

Given:

The number of ribbons it can sell each week, x, is related to the price p per ribbon by the equation:

x=1000-100p

To find:

The selling price if the company wants the weekly revenue to be $1,600.

Solution:

We know that the revenue is the product of quantity and price.

R=xp

R=(1000-100p)p

R=1000p-100p^2

We need to find the value of p when the value of R is $1600.

1600=1000p-100p^2

1600-1000p+100p^2=0

100(16-10p+p^2)=0

Divide both sides by 100.

p^2-10p+16=0

Splitting the middle term, we get

p^2-8p-2p+16=0

p(p-8)-2(p-8)=0

(p-8)(p-2)=0

Using zero product property, we get

p-8=0 or p-2=0

p=8 or p=2

Therefore, the smaller value of p is $2 and the larger value of p is $8.

You might be interested in
Euclid Park is shaped like a square, with side length s, and has an area of 121 square kilometers. This equation shows the area
SpyIntel [72]
The answer is 11 because 121/4 (4=sides) =11
6 0
2 years ago
Solve for x in simplest form.<br>14 = 1/3(8x + 6)​
elena-s [515]

Answer:

x = 4.5

Step-by-step explanation:

14 = 8/3x + 2

12 = 8/3x

36 = 8x

x = 4.5

5 0
3 years ago
Dolores spent $ 13.00 of the $20.00 in her wallet. Which decimal represents the fraction of the $20.00 Dolores spent?
Veronika [31]

Answer:

In order to find the fraction of the 20 dollars that has been spent, we have to divide the amount spent by the total amount. So 0.65 is the fraction of 20 that is spent.

Step-by-step explanation:

6 0
2 years ago
Nool
larisa [96]

Answer:

Step-by-step explanation:

4x = 60

60/4 = 15

width : 15

length: 45

4 0
2 years ago
Remainders and leftlover. Is the same?
horrorfan [7]
Yes. They both mean the same thing.
8 0
3 years ago
Other questions:
  • How are the values of the 3s in 33,000 related​
    13·1 answer
  • Is this true or false 4/3 = 8/9
    10·1 answer
  • Which fraction is equivalent to <img src="https://tex.z-dn.net/?f=%5Cfrac%7B25%7D%7B35%7D" id="TexFormula1" title="\frac{25}{35}
    14·1 answer
  • Please help I will give out brainliest
    6·2 answers
  • What is -1715/135 squared 3 times
    12·1 answer
  • Please help me quick​
    7·1 answer
  • If 7 people equally share one pizza what fraction of the pizza will each person get. A.1/7 b.6/7 c.5/5 d.7/7
    15·1 answer
  • Find the size of the angle a.<br><br>Diagram not drawn accurately​
    15·1 answer
  • Factor 10x2<br> + 11x + 3
    9·1 answer
  • Please help me with this question :)​
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!