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
Write an equation of the line that passes through each point with the given slope, (3,5) and m=2.
icang [17]

Answer:

The point slope formula states (y-y1)=m(x-x1)

Where m is the slope and (x1 y1) is a point the line passes through

Substituting the point and slope from the problem give

(y-5)=-2(x-3) ~answer

6 0
3 years ago
Bob,Cal,and Pete each made a stack of baseball cards.Bob's stack was 0.2 meter high.Cal's stack was 0.24 meter high.Pete's stack
AlekseyPX

Answer:

0.24 > 0.18

Step-by-step explanation:

Given that,

Bob's stack = 0.2m

Cal's stack = 0.24m

Pete's stack = 0.18m

To find?

A number sentence.

<em>A simple sentence is a string/collection of words that contain a subject and a verb whereas a number sentence is a sentence that consist of </em><em>mathematical operation</em><em> like +, -, /, * together with an equality such as =, <, >, and like a sentence it also tell a fact.</em>

<em> </em>So, the number sentence that compares cal's stack of cards to Pete's stack is

<h2>0.24 > 0.18</h2>

<em />

<em />

<em>  </em>

6 0
3 years ago
Read 2 more answers
A piece of green jade has a mass of 23.401 g.if the sample of jade displaces 50.0 ml of water to 56.5 ml in a 100 ml graduated c
OleMash [197]

we know that

The density is equal to the formula

Density=\frac{mass}{volume}

in this problem we have

mass=23.401\ gr

<u>Find the volume of a piece of green jade</u>

Volume=56.5\ ml-50.0\ ml=6.5\ ml

Substitute the values in the formula of density

Density=\frac{23.401}{6.5}

Density=3.60\frac{gr}{ml}

therefore

<u>the answer is</u>

Density=3.60\frac{gr}{ml}

3 0
3 years ago
Write an equation in standard form for:
Tasya [4]
Hello!
When finding the perimeter of a rectangle, you have to consider the properties of a rectangle. A rectangle has two pairs of equal sides where one is the width, while the other one is the length. 
Now looking back at your question, it says "... a rectangle that is x units wide" ⇒ you let the width = x ; this is the same with "y units long" ⇒ length = y. Perimeter can just be : P = 24.  
Therefore,
The equation would be:
x + x + y + y = P. 
2x + 2y = P.
(Sub in P = 24)
∴ 2x + 2y = 24. (This should be your answer.)
:) Good luck (Message me if you have any problem)








5 0
3 years ago
What would the world be like without math or money? why
Phantasy [73]
Everyone would be confused because they wouldnt know how to add. if there wasnt money then there with be no objects/food/toys/ect. unless its all free. If it all free then everyone would go crazy because they wouldnt have to calculate how much the item cost.
8 0
3 years ago
Read 2 more answers
Other questions:
  • Will mark brainliest. Which expression is equivalent to -1/4x + 1/2 ?
    10·1 answer
  • Which expression is equal to one million?<br><br> A.10^6<br> B.6^10<br> C.100^2<br> D.2^100
    5·1 answer
  • What percent of 72 is 27?
    12·2 answers
  • you lease a car valued at 23,495 for 3 years at $429.95/month with a $500 down payment. If interest is 30% of the payment, how m
    13·2 answers
  • 3x + 43 = 4x + 2(4 + 2)
    9·2 answers
  • Two years ago the population of a town was 40000. The population of the town at present has reached 44100. Calculate the populat
    13·1 answer
  • 7x +2(-2x +1) <br><br>how do I solve this? ​
    10·1 answer
  • Will rounding to the nearest 10 0r 100 give a closer estimate of 748-431?
    10·2 answers
  • Alberto is painting a large triangle on one wall of his bedroom. The base of the triangle is 4 feet, and the height is 8 feet. I
    6·1 answer
  • Help me ...Given △ABC≅△EFG, which congruency statement is true?
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!