The amount of oil used by a ship traveling at a uniform speed varies jointly with the distance and the square of the speed. the ship uses 30 barrels of oil in traveling 85 miles at 42 mi/h. how many barrels of oil are used when the ship travels 26 miles at 54 mi/h? round your answer to the nearest tenth of a barrel, if necessary.a. 2.3 barrel

Answers

Answer 1
Answer:

The amount of oil used when the ship travels 26 miles at 54 mi/h is 15.2 barrels

Let the amount of oil used by the ship is y barrels

let the distance traveled  be s miles

Let the velocity of the of the ship be v miles per hour  

then according to the given condition we can write equation (1)

y\;  \alpha \; s\; v^2\n\n\ny\;  = k  \; s\; v^2....(1)\n\n\nrm where \; k = constant \; of\;  Proportionality

Given that ,

Quantity ofOil used by ship = 30 barrels

Speed of the Ship =42 miles per hour

Distance traveled by the ship = 85 miles

Putting these values in equation (1) we can get

\rm 30= k* 85*\ (42)^2\nk = 0.0002

So the equation of amount of oil used can be written as equation (2)

y = 0.0002* sv^2....(2)

According to second condition given in the question we can write

\rm y = 0.0002* 26* (54)^2\n\rm y= 15.2 \; barrels

For more information please refer to the link below

brainly.com/question/21328304

Answer 2
Answer: A = kdv^2    where A = amount oil d = distance and v = speed and k is a constant
so 
30 = k*85*42^2
Now solve for k:-
k = 30 / (85*42^2) =     0.00020008

So when d = 26 and v = 54

Amount of oil A = 0.00020008 * 26*54^2
                          =  15.2 barrels


Related Questions

What are the excluded values? 7b^3/b^2-7b+10
On a coordinate plane, a line goes through (negative 5, negative 4) and (0, negative 3). A point is at (negative 2, 2). What is the equation of the line that is parallel to the given line and passes through the point (–2, 2)?
Waht is the elapsed time for 1:05 pm - 4:40 am
What does the product of any whole-number factor multiplied by 100 always have ? Explain
A toddler crawled 3 yards, stopped, then continued to crawl 11 more feet. How many feet did he travel in total?

Which equation is represented by the table?x y (x, y)
0 –1 (0, –1)
1 4 (1, 4)
2 9 (2, 9)


A.
y = 5x – 1

B.
y = –3x + 3

C.
y = 3x – 4

D.
y = 3x + 3

Answers

1) Find the gradient of the line by using two of the points given.
2) Find the y-intercept by using either one of the points into y=mx+c
3) The eq. is, y=5x-1

the area of the U.S. is about 3.778 million square miles. Approximately670000 square miles are worked for food production. what percent of the U. S. is worked for food production?

Answers

(670,000)/(3,778,000) × 100=9.71%

What is the circumference of this circle?2 cm
about 3 centimeters
about 13 centimeters
about 22 centimeters
about 35 centimeters

Answers

About 13 cm

circumference = 2 * pi * radius

Answer:

Option B

Step-by-step explanation:

C = 2πr where r is radius as given.

Let us take pi as 3.14

  • C = 2* 3.14* 2 = 12.56 cm

About 13 cm

Point B is located at _____.

(3, 0)
(0, 3)
(0, -3)
(-3, 0)

Answers

The point B is located at (3, 0). Therefore option B is the correct answer.

On graph A, B, C, D and E points are given.

What is the graph?

Graph is a mathematical representation of a network and it describes the relationship between lines and points. A graph consists of some points and lines between them. The length of the lines and position of the points do not matter.

The numbers on a coordinate grid are used to locate points. Each point can be identified by an ordered pair of numbers; that is, a number on the x-axis called an x-coordinate, and a number on the y-axis called a y-coordinate. Ordered pairs are written in parentheses (x-coordinate, y-coordinate).

Here, on the point B is located at (3, 0).

The point B is located at (3, 0). Therefore option B is the correct answer.

To learn more about the graph visit:

brainly.com/question/14375099.

#SPJ2

Point B is located at (0, -3). When both x and y coordinates are positive,it lies in the first quadrant. If both are negative, it lies in the thirdquadrant. If x is negative and y is positive, it is in the second quadrant. If xis positive and y is negative, it is in the fourth quadrant.

Slope-Intercept Form Word Problems1 An equipment rental company charges a $25 for plus 550 per hour. Use this information to
answer the questions
a Wite an equation to show the amount you pay awr a certain number of hours (8)
What is the yer of this problem?
Explain what it represent in terms of the station
What is the slope of this problem?
The company changes -
Standard Form Word Problems
2 You are buying 500 worth of lawn sedmice that consists of two types of seed One
type costs $5 per pound and the other costs 56 per pound Use this information to answer the
Questions
2. Write an equation to find the amount of each seed that you can buy.
What is the of this problem?
Explain what it represents in terms of the station

Help me please !!!!!
I need it for today !!

Answers

Answer:

1a. y=550(8) + 25

1a. the yer of this problem is 25 because it is a real number. it represents your Y-intercept because they are getting paid $550 an hour and getting paid an additional $25 for doing the job. The slope of this problem would be $550 because that is how much they are getting paid an hour.

2. What you would need to do is take 500/5 and 500/56 and that would give you how ever many bags you can buy per lawn sediment. (you really don't need to write an equation for the next part even though it says you need one)

2.y=500/5 and y=500/56

Step-by-step explanation:

An artist is carving chess pieces from a large piece of marble. After carving ppp chess pieces, there are SSS pounds of uncarved marble remaining. As the number of chess pieces carved increases, what happens to the weight of the remaining, uncarved marble?

Answers

Answer:

The amount of marble will decrease as we make more chess pieces.

Step-by-step explanation:

An artist is carving chess pieces from marble. He has already carved p chess pieces and has s pounds of marble remaining.

We have to find out what happens to the remaining marble as chess pieces are being carved.

We are making chess pieces from the marble that is remaining , hence the amount of marble will definitely decrease.

As we go on making chess pieces, the marble will finish at a point of time.