A truck requires 35 liters of petrol to travel a distance of
450km.Find
The amount that the truck owner has to pay to travel distance of
1050 km if a liter of petrol costs $2.95.

Answers

Answer 1

Answer:

$240.92

Step-by-step explanation:

From the question,

The distance traveled by the truck is directly proportional to the amount of petrol used.

I.e,

d ∝ v............... Equation 1

d = kv

d/v = k

d₁/v₁ = d₂/v₂............. Equation 2

Where d₁ and d₂ are initial and final distance respectively, v₁ and v₂ are initial and final amount of petrol used respectively.

Given: d₁ = 450 km, d₂ = 1050 km, v₁ = 35 liters

Substitute into equation 2 and solve for v₂

450/35 = 1050/v₂

v₂ = (1050×35)/450

v₂ = 36750/450

v₂ = 81.67 Liters.

If a liter of petrol cost $2.95,

Then,

81.67 liters will cost (81.67×$2.95) = $240.92


Related Questions

what’s the area besties?

Answers

Answer:

36

Step-by-step explanation:

2(4.5*3)=13.5

2(3+7.5)=22.5

13.5+22.5=36

Work out the size of angle A.
A
11 cm
9 cm
38°
B
С​

Answers

Can you ask a bit better? I’d love to answer just don’t get what ur asking

The students in Hugh Logan's math class took the Scholastic Aptitude Test. Their math scores are shown below. Find the mean score.
506 635 345 344 633
344 359 536 470 482 ​

Answers

Answer:

465.4

Step-by-step explanation:

mean=sum of all values/umber of vales

      =506+ 635 +345 +344+ 633 +344+359+ 536 +470+ 482 ​ /10

      =4654/10

   mean   =465.4

Charles inherited $500,000 from his grandfather. He decides to invest the money into a fund that has 4% annual interest. If the interest is compounded continuously, what is the total amount that is compounded annually?

Answers

Answer:

this is answer$10,000$1o,5oo ok

Select the correct answer.
What is the range of the function graphed below?

A. -∞ < y < -2

B. -∞ < y < ∞

C. -∞ < y < 2

D. -2 < y < ∞

Answers

Answer:

C

Step-by-step explanation:

The range is all the (y) values the function could have. The function's left end approaches negative infinity, while the right end approaches the asymptote of the function, y = 2.

So, the range is -∞ < y < 2. The answer is C.

I hope this helps :]

The range of the function is option (C) -∞ < y < 2 is the correct answer.

What is the range of a function?

The range is the set of possible output values, which are shown on the y-axis. The range of a function, f is the set of all values f(x) , such that x is in the domain of f. Graphically speaking, the range is the set of all y such that (x,y) is a point on the graph of f .

For the given situation,

The graph shows the function that is plotted on x-y axis.

The curve of the function tends from x-axis beyond infinity.

It bends at y = 2 and moves towards y-axis beyond infinity.

Hence we can conclude that the range of the function is option (C),        -∞ < y < 2 is the correct answer.

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Enter the equation of the circle with the given center and radius.

Center: (9, 0)
radius: √5

Answers

Answer:

(x - 9)² + y² = (√5)² = 5

Step-by-step explanation:

Start with the standard equation of a circle with center at (h, k) and radius r:

(x - h)^2 + (y - y)^2 = r^2

Now substitute 0 for k, 9 for h and √5 for r:

(x - 9)² + (y - 0)² = (√5)², which simplifies to:

(x - 9)² + y² = (√5)² = 5

can guys help me please

Answers

Answer:

there is 243.84 cm in 8 feet

round to the nearest hundredths =3266.53

Can you please help me

Answers

nvm there is the right answer


Write the equation of the line shown in the graph below

Can someone please help both of these

Answers

Answer:

4x/3-2

-x/2 +5

this are the answers

Greg rented a truck for one day. There was a base fee of $15.95, and there was an additional charge of 85 cents for each mile driven Grey had to pay $159.57
when he returned the truck For how many miles dhe drive the truck

Answers

Answer:

168.964706 miles

Step-by-step explanation:

Turn the info into a equation: 159.57 = .85x + 15.95

Solve for x (miles)

159.57 = .85x + 15.95

143.62 = .85x

x = 168.964706

Which of the following is/are correct in the case of free fall motion?

(I) Free fall is a linear motion.
(II) Free fall is a uniformly accelerated motion.
(III) Free fall is a motion under gravity alone.

A) I and II
B) I only
C) II only
D) I, II, and III

Answers

Answer:

D) all are true

I think it's helps you

Make “a” the subject of the following formula
y + az = z

Answers

A = z-y / z is the answer

HELP!!!!!A semi-circular part is removed from a rectangle.
The area of the shaded portion is approx. 3041.4 cm2.

Answers

Answer:

It is true

Step-by-step explanation:

the area of the rectangle is

72•66=4752

the area of the semi circle is

π33^2= 3421.19/2= 1710.595

4752-1710.595= 3041.405

rounded to nearest tenth

3041.4

Sally has a car that accelerates at 5 m/s^2. If the car has a mass of 1000 kg, how much force does the car produce?
F=______
m=______
a=______

Answers

Answer:

You have to use the equation F=ma.

F: the force an object has (in this case the unknown)

M: the mass an object has (in this case 1000kg)

A: the acceleration an object has (in this case 5m/s^2)

when you plug in everything you should get F=5000N

Answer:

The answer is 5000 N (Newtons).

Explanation:

F=M*A

F=1000 kilograms * 5 m/s squared

F=5000 Newtons

A ship at sea is 70 miles from one radio transmitter and 130 miles from another. The bearing from the ship to transmitter 1 is N38.1°E and the bearing to transmitter 2 is S 22.4°E . Find the distance between the two transmitters. ​

Answers

Answer:

volved with elements and compounds composed of atoms, molecules and ions: their composition, structure, properties, behavior and the changes they undergo during a reaction with other substances.

What speed would a plane average on a trip
of 4000 miles that took 6 hours?
(A) 150.0 miles per hour
(B) 666.6 miles per hour
(C) 366.6 miles per hour
(D) 1500.0 miles per hour

Answers

Answer:

B) 666.6 miles per hour

Step-by-step explanation:

To solve this question, divide the 4000 miles with the 6 hours to get an answer in units of X miles per hour.

4000 miles/6 hours = 666.6 miles per hour

Three students, Brayden, Adrian, and Aubrey, line up one behind the other. How many different ways can they stand in line?

Answers

9 different ways. Because there are three people and they can arrange themselves three ways three times three is nine.
Sense there is 3 students they can line up in 6 different orders

Giving brainliest show work pls ! Ty

Answers

The answer is D, one half. Because there are four 12s, and there are four other numbers. Which would make 4/8. If you simplify 4/8, you will get 1/2.

Answer:

1/2

Step-by-step explanation:

total of the pockets

= 8

the probability

= 4/8

= 1/2

If a coin and a is die is rolled at same time how many outcomes are possible? Please help me

Answers

Answer:

Answer:

12

Step-by-step explanation:

a coin has two possibilities: Head and Tales

a die has six possibilities: 1, 2, 3, 4, 5, 6

2x6=12

The function N(t) = 100e^−0.023t models the number of grams in a sample of cesium-137 that remain after t years. On which interval is the sample's average rate of decay the fastest?

Answers

Options:

A. [1,10]        B. [10,20]      C. [15,25]     D. [1,30]

Answer:

A. [1,10]

Step-by-step explanation:

Given

[tex]N(t) = 100e^{-0.023t}[/tex]

Required

Interval with the fastest rate of decay

The rate of change over [a,b] is calculated as:

[tex]Rate = \frac{N(b) - N(a)}{b - a}[/tex]

So, we have:

A. [1,10]        

[tex]Rate = \frac{N(10)-N(1)}{10 - 1}[/tex]

[tex]Rate = \frac{N(10)-N(1)}{9}[/tex]

Calculate N(10) and N(1)

[tex]N(10) = 100e^{-0.023*10} = 100e^{-0.23} = 79.45[/tex]

[tex]N(1) = 100e^{-0.023*1} = 100e^{-0.023} = 97.73[/tex]

So:

[tex]Rate = \frac{79.45-97.73}{9} = \frac{-18.28}{9} = -2.03[/tex]

B. [10,20]      

[tex]Rate = \frac{N(20)-N(10)}{20 - 10}[/tex]

[tex]Rate = \frac{N(20)-N(10)}{10}[/tex]

Calculate N(20) and N(10)

[tex]N(20) = 100e^{-0.023*20} = 100e^{-0.46} = 63.13[/tex]

[tex]N(10) = 100e^{-0.023*10} = 100e^{-0.23} = 79.45[/tex]

So:

[tex]Rate = \frac{63.13 - 79.45}{10} = \frac{-16.32}{10} = -1.632[/tex]

C. [15,25]    

[tex]Rate = \frac{N(25)-N(15)}{25 - 15}[/tex]

[tex]Rate = \frac{N(25)-N(15)}{20}[/tex]

Calculate N(25) and N(15)

[tex]N(25) = 100e^{-0.023*25} = 100e^{-0.575} = 56.27[/tex]

[tex]N(15) = 100e^{-0.023*15} = 100e^{-0.345} = 70.82[/tex]

So:

[tex]Rate = \frac{56.27 - 70.82}{10} = \frac{-14.55}{10} = -1.455[/tex]

D. [1,30]

[tex]Rate = \frac{N(30)-N(1)}{30 - 1}[/tex]

[tex]Rate = \frac{N(30)-N(1)}{29}[/tex]

Calculate N(30) and N(1)

[tex]N(30) = 100e^{-0.023*30} = 100e^{-0.69} = 50.16[/tex]

[tex]N(1) = 100e^{-0.023*1} = 100e^{-0.023} = 97.73[/tex]

So:

[tex]Rate = \frac{50.16 - 97.73}{29} = \frac{-47.57}{29} = -1.64[/tex]

By comparing the values of the calculated rates,

-2.03 is the smallest, in other words; the fastest rate

Hence, the interval [1,10] has the fastest rate of decay

The required average rate of change is the fastest on [tex][1,10][/tex].

The average rate of change :

The formula for the average rate of change on the interval [tex][a,b][/tex]  is,

[tex]\frac{100e^{-0.023b}-100e^{-0.023b}}{b-a}[/tex]

Now, applying the given function into the above function is,

Now, [tex]a=1,b=10[/tex] then,

[tex]\frac{100e^{-0.023b}-100e^{-0.023b}}{10-1} =-2.03[/tex]

Now, [tex]a=10,b=20[/tex] then,

[tex]\frac{100e^{-0.023b}-100e^{-0.023b}}{20-10} =-1.6325[/tex]

Now, [tex]a=15,b=25[/tex] then,

[tex]\frac{100e^{-0.023b}-100e^{-0.023b}}{25-15} =-1.455[/tex]

Now, [tex]a=1,b=30[/tex] then,

[tex]\frac{100e^{-0.023b}-100e^{-0.023b}}{30-1} =-1.64[/tex]

So the average rate of change is fastest on [tex][1,10][/tex]

Learn more about the topic of the average rate of change:

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You started hiking at 31.3 feet below sea level. At the end of your hike, you were at 56.2 feet above sea level. How many feet did you climb?

Answers

Answer:

24.9

Step-by-step explanation:

56.2-31.3=24.9

Brandon just bought a new coffee table. The length of the coffee table is 5 more than 3 times the width. If the perimeter of the coffee table top is 58 inches, what is the length and width of the coffee table?

Answers

Answer:

The length is 23 inches and the width is 6 inches.

Step-by-step explanation:

The perimeter for a rectangular shape is represented as:

P = 2L + 2W, where L represents length and W represents width

We can represent the length as:

L = 3W + 5

Substituting this into the perimeter function, we get:

P = 2 (3W + 5) + 2W

Substituting 58 for P, we get:

58 = 2 (3W + 5) + 2W

58 = 6W + 10 + 2W

58 = 8W + 10

58 - 10 = 8W + 10 - 10

48 = 8W

48 / 8 = 8W / 8

6 = W

With 6 being the established value for the width, we can substitute this back into the equation for length:

L = 3W + 5

L = 3(6) + 5

L = 18 + 5

L = 23

To check our work, we can substitute both the width and length into the perimeter equation:

P = 2L + 2W

58 = 2(23) + 2(6)

58 = 46 + 12

58 = 58

Therefore, length is 23 inches and the width is 6 inches.

y= x - 5
y=-7x + 11
Cherry

Answers

Answer:

Step-by-step explanation:

Since this is a 2 variable equation system we will find the values of x & y by equaization.

x-5=-7x+11

x+7x=11+5

8x=16

x=16/8

x=2

Please mark brainliest.

The graph of f(x)=4/x^2-2x-3 is shown. For which values of x is f(x) decreasing?

Answers

Answer: (1,3) (3, infinite)

Step-by-step explanation:

i think this is right

The graph of f(x) = 4/(x² - 2x - 3) is decreasing in the values of (-1,3) ∪ (3,∞)

What is graph?

A graph can be defined as "pictorial representation or the diagram that represent a data or values in an organized manner".

According to the question,

The graph of function f(x) =  4/(x² - 2x - 3).

The values (-1,3) ∪ (3,∞) substitute in the given function

f(-1) = 4/0 = undefined

f(3)= 4/0 = undefined

f(∞)= undefined

Hence, The graph of f(x) = 4/(x² - 2x - 3) is decreasing in the values of

(-1,3) ∪ (3,∞).

Learn more about  graph here

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OMG PLEASE HELP YOUR BOY OUT I NEED TO GET THIS ONE RIGHT TO PASS THE TEST!!!
Which of the following rational functions is graphed below?

A. F(x) = (x - 1)/((x + 2) ^ 2)
B. F(x) = (x + 1)/((x + 3)(x - 2))
C. F(x) = (x - 1)/(x(x - 3))
D. F(x) = (x - 1)/(x(x + 2)) O

Answers

the answer is b i think i’m not sure

Answer:

The Answer is C

There are two bags containing only purple and yellow marbles. Bag A has yellow marbles and purple marbles. Bag B has yellow marbles and purple marbles. A marble is randomly chosen from each bag. List these events from least likely to most likely. Event : choosing a purple marble from Bag B. Event : choosing a yellow or purple marble from Bag A. Event : choosing a red marble from Bag B. Event : choosing a yellow marble from Bag A.

Answers

Choosing a Red marble from Bag A
Choosing a Purple marble from Bag B
Choosing a Yellow marble from Bag A
Choosing a Yellow or Purple marble from Bag A

Pov your just scrolling and seeing all these hard problems that your brain cant do.

Answers

Answer:

LOL this is just facts

Answer:

lol so true

Step-by-step explanation:

6(x+4)+1= What is the answer to this great math problem

Answers

6x + 24 + 1 = 6x + 25

Answer:

x =  -25/6

Step-by-step explanation:

6 (x + 4) + 1 = 0

6x + 24 + 1 = 0

6x + 25 = 0

6x = -25

x = -25/6

Please anwser this question.

Answers

Answer:

step by step is kid cause it sounds cool

Step-by-step explanation:

so therefore the answer is kid

Please help me please please

Answers

Answer: I think it’s 30 you can do it yourself by drawing a rectangle and then multiplying the Length times width

Step-by-step explanation:

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