![Kaytlynshue2443](/avatars/41387.jpg)
Kaytlynshue2443
14.07.2019 •
Mathematics
What is the p(x) and profit for selling 100 tickets
Solved
Show answers
More tips
- C Computers and Internet Discovering the Differences Between iPad Wi-Fi and iPad 3G...
- F Food and Cooking What s the Best Rice for Cooking Plov?...
- F Family and Home How to Remove Fading from Clothes: Tips and Tricks...
- F Food and Cooking How to Make Polendwitsa at Home?...
- F Family and Home Parents or Environment: Who Has the Most Influence on a Child s Upbringing?...
- P Philosophy Unbelievable stories of encounters with otherworldly forces...
- L Leisure and Entertainment How to Choose the Perfect Gift for Men on February 23rd?...
- H Health and Medicine How to Treat Whooping Cough in Children?...
- H Health and Medicine Simple Ways to Lower Cholesterol in the Blood: Tips and Tricks...
- O Other How to Choose the Best Answer to Your Question on The Grand Question ?...
Answers on questions: Mathematics
- M Mathematics Give me yo TT username for brainliest ;)...
- M Mathematics Question 3 Describe the rotation that maps Figure A to Figure B. 180°clockwise around the origin 90° clockwise around the origin 270° clockwise around the origin 360°clockwise around...
- M Mathematics In how many ways can a recorder, facilitator, and questioner be chosen in a club containing 14 members?...
- M Mathematics A class quiz has 5 True False questions. The correct answers are T. T. FF, and T. in that order. John answered thequestions randomly and is now wondering if he will pass the quiz....
- M Mathematics UZ InstructTONS Question 4 Identify the sequence as arithmetic, geometric, or neither. an = 3n...
- M Mathematics Create a real-life scenario involving an angle of elevation or depression. Draw an appropriate diagram and explain how to solve your example....
- M Mathematics How many times has the first image been divided to create the second image? Once...
- M Mathematics Does this table represent a function? Why or why not? Hours of Training 10 20 30 40 50 60 70 Monthly Pay 1220 1420 1620 1820 2020 2220 2420 - A. No, because each x-value is different....
- M Mathematics Which is true about the functional relationship shown in the graph? Olivia s Earnings 55 50 45 Eamings (5) 40 25 30 25 Time worked (hours) A. The amount earned is a function of...
- M Mathematics One of the greatest assets of a secretary is often his/her ability on the keyboard of a computer...
Ответ:
P(x) is the profit amount from selling tickets.
P(100) = $160
Step By Step Explanation:
First, plug in r(x) and c(x) into the p(x) equation:
p(x) = r(x) - c(x)
p(x) = (10x) - (8x+40)
Then simplify it:
p(x) = 10x - 8x - 40 {just distribute a +1 into the parentheses}
p(x) = 2x - 40 {combine like terms}
Now substitute 100 for x:
p(100) = 2(100) - 40
Then solve:
p(100) = 200 - 40
p(100) = 160
Ответ:
a. The pine log is a cylinder while the oak board is a rectangular prism
b. 0.0181 lb/in³
c. 0.0271 lb/in³
d. So the oak board weighs 1.497 times more than the pine block
e. Densities of objects less than that of water, float on water, while densities of objects greater than that of water, do not float on water.
Step-by-step explanation:
Here is the complete question
Harold is a woodworker and is interested in finding the density of two different types of wood.?
He bought a pine log that has a 5-inch radius and is 30 inches long. The weight of the log is approximately 42.63 pounds. He also has an oak board that is 5.5 inches wide, 1.5 inches thick, and 3 feet long. The board weighs approximately 8.05 pounds
a.Which shapes can you use to model the log and the board?
b.What is the density of the pine log? Show your work
c.What is the density of the oak board?
d.If you had a block of each type of wood with the same dimensions, how would their weights compare? Explain.
e.Water has a density of about 0.0361 pounds/cubic inch. You might know that wood floats on water. What can you conclude about the densities of objects that float and the densities of objects that do not? Review your results from parts b and c before deciding
Part A
The pine log is a cylinder while the oak board is a rectangular prism
Part B
The pine log is a cylinder, so its density ρ₁ = mass/volume = M/V
M = weight of log = 42.63 pounds
V = πr²h where r = radius of log = 5 inches and h = length of log = 30 inches
density of pine log ρ₁ = 42.63 lb/π × (5 in)² × 30 in = 42.63 lb/750π in³ = 0.0181 lb/in³
Part C
The oak board is a rectangular prism,so its density ρ₂ = mass/volume = M/V
M = weight of log = 8.05 pounds
V = lbh where l = length of oak board = 3 feet = 12 × 3 inches = 36 inches, b = width of oak board = 5.5 inches and h = thickness of oak board = 1.5 inches
density of oak board ρ₂ = 8.05 lb/36 in × 5.5 in × 1.5 in = 8.05 lb/297 in³ = 0.0271 lb/in³
Part D
If I had a block of each type of wood with the same dimensions, then, they would have the same volume.
Then since density = weight/volume
weight = density volume
Let V' be their volume.
So, W₁ = weight of pine log = 0.0181 lb/in³ V' in³ = 0.0181V lb and
W₂ = weight of oak board = 0.0271 lb/in³ V' in³ = 0.0271V lb
So, W₂/W₁ = 0.0271V'/0.0181V' = 1.497
So the oak board weighs 1.497 times more than the pine block
Part E
Since the density of water is about 0.0361 pounds/cubic inch and wood floats on water, since both materials are wood and their densities are 0.0181 lb/in³ and 0.0271 lb/in³ respectively, and are less than that of water, they would both float on water. This implies that densities of objects less than that of water, float on water, while densities of objects greater than that of water, do not float on water.