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
klio [65]
3 years ago
9

The cost C of moving rubble is proportional to the product of the mass M of the rubble and the distance D the rubble must be mov

ed. Use K as your proportionality constant (Note: we don't use C since we are already using it for cost).
(a) Find C(M,D).
C(M,D)=___________________
(b) If it costs 50 dollars to move 1 ton of rubble 1 mile, how much does it cost to move 16 tons 15 miles?.
$_____________
Mathematics
1 answer:
Mandarinka [93]3 years ago
3 0

Answer:

a) C(M,D) = KMD

b) $12,000                  

Step-by-step explanation:

We are given the following information in the question:

The cost C of moving rubble is proportional to the product of the mass M of the rubble and the distance D the rubble must be moved.

This can be written as:

a)

C \propto M\times D\\C = KMD,\\\text{where K is the constant of proportionality.}

C(M,D) = KMD

b) It costs 50 dollars to move 1 ton of rubble 1 mile

50 = K\times 1\times 1\\\Rightarrow K= 50

We have to find  cost to move 16 tons 15 miles.

Putting the values in the function:

C(16,15) = 50\times 16\times 15 = 12000

Thus, $12,00 is the cost to move 16 tons 15 miles.

You might be interested in
ahmed is sitting on a dock watching a float plane in a harbour. At a certain time, the plane is 350 m above the water and 470 m
Pavel [41]

Answer:

The angle of elevation of the plane measured from Ahmed is approximately 36.67°

Step-by-step explanation:

The given parameters of the float plane are;

The height of the float plane above the water, y = 350 m

The horizontal distance of the float plane from Ahmed, x = 470 m

Given that Ahmed is sitting on the dock, by the water, by trigonometric ratios, we have;

The height of the float plane, the distance of the plane from Ahmed and the line of sight forming the angle of elevation of the plane measured from Ahmed, form a right triangle

tan\angle X = \dfrac{Opposite \ leg \ length}{Adjacent \ Leg\ length}

Therefore

tan(\theta) = \dfrac{y}{x}

Where;

θ = The angle of elevation of the plane measured from Ahmed

y = The leg of the right triangle opposite the reference angle

x = The leg  of the right adjacent to reference angle

Therefore;

θ = arctan(y/x) which gives;

θ = arctan(350/470) ≈ 36.67°

The angle of elevation of the plane measured from Ahmed, θ ≈ 36.67°.

8 0
3 years ago
SOMEONE PLEASE HELP! IM REALLY CONFUSED
Mamont248 [21]

Answer:

thanks

Step-by-step explanation:

3 0
3 years ago
a square swimming pool has a cement sidewalk around it. The sidewalk is the same width all the way around. The outside perimeter
VLD [36.1K]

Answer:

175 square feet

Step-by-step explanation:

the area of the whole thing is 400 ft. (20 x 20=400)

i got the 20 from the perimeter b/c 20+20+20+20=80

then subtract the area of the pool from 400 to get 175.

6 0
3 years ago
The area of a playground is 2,400 square yards, and the width is 40 yards. What is the length of the playground? PLEASE HELP
Dmitrij [34]
The answer you are looking for is 60 yards!
You can use the formula x*y=z
Making 40*y=2400
Do 2400/40= 60
40*60=2400
Making 60 your length of the playground!
I hope this helps!
5 0
2 years ago
Cameras R Us has a sale for 25% off camera bags, which is a discount of $20. To find the original cost of the camera bag, Tara c
Vsevolod [243]

Answer:

It will be 2. (B) and 4. (D)

Step-by-step explanation:

I took the assignment and got it right :D

6 0
3 years ago
Read 2 more answers
Other questions:
  • A survey asks a random sample of 1500 adults in Ohio if they support an increase in the state sales tax from 5% to 6%, with the
    8·1 answer
  • Which statement is true for the equation 5n − 4 = 5n − 3?
    5·1 answer
  • Write two polynomial functions whose quotient will be the same degree as the divisor.
    13·1 answer
  • Lmk ASAP please
    6·1 answer
  • What is the mean score for Mr. Wilson's test scores? Round to the nearest tenth.
    11·2 answers
  • The contents of seven similar containers of sulfuric acid are 9.8, 10.2, 10.4, 9.8, 10.0, 10.2, and 9.6 liters. find a 95% confi
    6·1 answer
  • Suppose the function shown below was expressed in standard form, v = a * x ^ 2 + bx + c What is the value of a?
    5·2 answers
  • What is the midpoint of the segment shown below? (-3, 4) (-6, -1)
    11·1 answer
  • Find the value of x.​
    8·1 answer
  • Help me plsssssssssssssss<br><br><br><br><br> Hi
    6·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!