Problem

The formula for the remaining volume of fuel in a car's tank is I-E\cdot DI−E⋅DI, minus, E, dot, D, where III is the initial volume of fuel, EEE is the fuel efficiency, and DDD is the distance traveled.

Carson drove a distance of 120120120 kilometers. He initially had 303030 liters of fuel, and his car's fuel efficiency is 100100100 cubic centimeters per kilometer.

What calculation will give us the estimated volume of fuel that remains in Carson's tank by the end of the drive, in liters?

Answers

Answer 1

Answer:

18 litres

Step-by-step explanation:

The formula for the remaining volume of fuel in a car's tank is expressed as;

V = I - E.D

where;

I is the initial volume of fuel,

E is the fuel efficiency, and;

D is the distance traveled.

Given

I = 30 litres

1m³ = 1000L

x = 30L

x = 30/1000

x = 0.03m³

I = 0.03m³

E = 100cm³/km

E = 100*10^-6m³/km

E = 10^-4m³/km

E = 10^-4m³/1000m

E = 10^-7m²

D = 120km

Convert km to metres

D = 120km = 120,000m

Substitute the results into the formula;

V = I - E.D

V = 0.03 - (10^-7)(120,000)

V = 0.03 - 0.012

V= 0.018 m³

Convert 0.018 m³ to litres

Since 1 m³ = 1000L

0.018 m³ = y

cross multiply;

y  = 1000 * 0.018

y = 18 litres

Hence volume of fuel that remains in Carson's tank by the end of the drive is 18 litres


Related Questions

Which equation represents a line which is parallel to the line 5x-4y=-12?

Answers

Answer:

Attached image

Hey can you show us the answer choices? Also to solve your equation you have to find out your slope so you’d have to solve the question given to you.

1. 5x-4y=12 (move the x)

2. -4y=12-5x (it’s negative 5 because you do the opposite of positive 5)

3. -4y=12-5x (divide the number in front of y from both sides)

4. Slope should be (5/4) and b should be 3

5. Equation should be y=(5/4)x+3

please tell me the answer

Answers

Answer:

(3.5, 3) and (0,-4)

Step-by-step explanation:

Zeros are the points that are on the x-intercept. The points not on the x-intercept are (3.5, 3) and (0,-4)

What is 2 4/9 as a decimal

Answers

Answer:

2.4 repeated

Step-by-step explanation:

What’s the value of c ? Just type in the answer!!!

Answers

Answer:

43

Step-by-step explanation:

Write the equation in slope-intercept form of the line that
contains the points:
(3,4) & (5,8)

Answers

You can put the 2points into a graph in your calculator and do the slope y1~mx1+b it will give you your equation which is y= 2x - 2

Find intervals of which

Answers

Answer:

Step-by-step explanation:

( - ∞, - 7), (-3, 5)

at Southside middle School 40% of the students play an instrument there are 305 students how many students play an instrument option a is 40 students option b is 140 students option c is 122 students option d is 256 students​

Answers

Answer: D.

Step-by-step explanation:

Can it help you.

Help me please I’ll mark brainliest.

Answers

Answer:

40x

400

Step-by-step explanation:

you can find the pattern by dividing the output by the input

80/2 =40

240/60 =40

therefore, whatever number you have it will be muiltiplied by 40.

the answer is fourty

if sec(∞) < 0 and the sin(∞) = 15/17 what is the exact value of cot (∞)

Answers

i’m confused is there a picture

Jasim has invested 600 dinars in a business at the rate of 4 % for 3 years. Find his

i- simple interst ?


ii- total amount after 3 years ​

Answers

Answer:

Simple interest=72dinars

Total amount=672dinars

Step-by-step explanation:

i.Simple interest=(P×R×T)/100

Interest=(600×4×3)/100=72dinars

ii.Total amount after 3years=Principal+Simple interest

=600+72=672 dinars

Andre rode his bike at a constant speed. He rode 1 mile in 5 minutes. Which of these equations represents the amount of time t (in minutes) that it takes him to ride a distance of d miles?
t = 5d
t = 1/5d
t = d + 4
t = d - 4

Answers

Answer:

the first one

Step-by-step explanation:

Answer:

A) t=5d

Step-by-step explanation:

Since the problem states "He rode 1 mile in 5 minutes",  that means for every mile Andre travels, it will take him 5 minutes for each mile.

Therefore, the equation that best works is t=5d because the coefficient is 5 where it's the slope representing 5 minutes per mile.

Which table contains only values that satisfy the equation


y = 0.25x + 8?

Answers

Answer:

Step-by-step explanation:

y = 0.25x + 8

(0, 8) are coordinates of y=intercept

y = 0.25 × 2 + 8 = 8.50

(2, 8.50)

The last table represnts the given equation.

The fourth table among all the options contains values that satisfy the equation y = 0.25x + 8.

An equation is a combination of two or more expressions, all equal to each other.

Let's check every table if every point in them satisfies the equation y = 0.25x + 8,

Table 1:

To check if (0, 8) satisfies the given equation,

RHS: 0.25 × 0 + 8 = 0 + 8 = 8

LHS: 8 = RHS

This point satisfies the equation.

To check if (2, 8.25) satisfies the given equation,

RHS: 0.25 × 2 + 8 = 0.50 + 8 = 8.50

LHS: 8.25 ≠ RHS

This point does not satisfy the equation.

Table 2:

To check if (0, 0) satisfies the given equation,

RHS: 0.25 × 0 + 8 = 0 + 8 = 8

LHS: 0 ≠ RHS

This point does not satisfy the equation.

Table 3:

To check if (0, 8.25) satisfies the given equation,

RHS: 0.25 × 0 + 8 = 0 + 8 = 8

LHS: 8.25 ≠ RHS

This point does not satisfy the equation.

Table 4:

To check if (0, 8) satisfies the given equation,

RHS: 0.25 × 0 + 8 = 0 + 8 = 8

LHS: 8 = RHS

This point satisfies the equation.

Similarly, all the points can be verified that they satisfy the equation.

Thus, all values in Table 4 satisfy the given equation.

Learn more about Equation here:

https://brainly.com/question/28953876

#SPJ6

calculate each
!!!!!!!!!​

Answers

Step-by-step explanation:

1. (4m² - 1.5m + 2) + (9m - 2m³ + 2m)

= 4m² - 1.5m + 2 + 9m - 2m³ + 2m

= 4m² + (-1.5m + 9m + 2m) + 2 + 2m³

= 4m² + 9.5m + 2 + 2m³

= 2m³ + 4m² + 9.5m + 2

2. (-3y + 2y² - 6) + (3y + 4y² + x)

= -3y + 2y² - 6 + 3y + 4y² + x

= (-3y + 3y) + (2y² + 4y²) - 6 + x

= 0y + 6y² - 6 + x

= 6y² - 6 + x

Lina worked 15 hours last week and was paid £97.20. This week she earned £155.52 at the same rate of pay. How many hours did she work this week?

Answers

Answer:

24

Step-by-step explanation:

I did 97.20 divided by 15 and got 6.48. Then, I did 155.52 divided by 6.48 and got 24. I hope this helps you!

Which numbers are solutions of x2+20=9x+2?
Choose exactly 2 awnsers.
2
3
5
6

Answers

Answer:

my answer is gonna be 2 and 5

2 and 5 for sure......

Albert wants to buy two pomegranates and some peaches • The price of one pomegranate is $1.59. • The price of peaches is $1.19 per pound. Albert wants to no more than $10.00. Which graph represents the number of whole pounds of peaches Albert can buy?

Answers

Answer:

He can buy 5 pounds of peaches.

Step-by-step explanation:

2 pomegranates cost $3.18 so, subtract that from $10.00 and you get $6.82. Multiply the different number of pounds with the cost per pound until you go over $6.82. Then go back a pound and multiply. 5 pounds times $1.19 equals $5.95.

which shape has the greatest number of lines of symmetry

Answers

Answer:

E

Step-by-step explanation:

It has 4 lines I think

Please mark brainliest!

Answer:

D-I believe its the square

Step-by-step explanation:

because a square has four lines of symmetry and the other one have less than four

What is the average speed of a boat that travels 57 kilometers in 3 hours?

Answers

Answer:

19 km/h

Step-by-step explanation:

average speed = total distance / total time

in this case it will be 57/3 = 19 km/h

Gaurav takes 15 rounds of a rectangular park whose length is twice its breadth. If the total distance covered by Gaurav is 900m find the length and breadth of the park

Answers

Answer:

length = 20 breadth = 10

Step-by-step explanation:

divide 900 by 15

= 60

60 divided by 6 because the length is twice the breath

60 / 6 is 10

so ten is the breadth of one side and double that is 20 so the length is 20

Hope this helped!

What is (-∞ , -1) ∪ [ 2 , +∞)

Answers

9514 1404 393

Answer:

  interval notation for all numbers except those that are at least -1 and less than 2.

Step-by-step explanation:

The ∪ between the two sets of brackets indicates the "union" of two sets. The brackets on the left indicate the interval ...

  -∞ < x < -1 . . . . . for a value represented by x

The curved brackets ( ) indicate the end values of the interval are not included, which is why the < symbol is used, and not the ≤ symbol.

The brackets on the right indicate the interval ...

  2 ≤ x < +∞ . . . . . for a value represented by x

The square bracket [ ] is used to indicate the end value is included, which is why the ≤ symbol is used in relation to the end-value 2.

By convention, the interval notation lists the left end of the interval first, and always uses curved brackets for infinity.

simplify the following expression
(16a10)(-3a) =

Answers

Answer: Answer= 480a^2

Step-by-step explanation

1. remove the parentheses =-16a*10*3a

2. Multiply the numbers 16*10*3= 480

3. Apply exponent rule =aa=a^1+^1  = -480a^1+^1

Answer= 480a^2

The length of a rectangle is 3 inches more than its width. The perimeter of the rectangle is 34 inches.
The length of the rectangle is ___ Inches, and its width is ___ inches.

Answers

Answer:7 and 10

Step-by-step explanation:

Trust I got it 100% right

Answer:

1

Step-by-step explanation:

I need help finding the value of x please.

Answers

In algebra, it is easy to find the third value when two values are given. Generally, the algebraic expression should be any one of the forms such as addition, subtraction, multiplication and division. To find the value of x, bring the variable to the left side and bring all the remaining values to the right side.

Answer:

X = 12

Measure of exterior angle = 80

Step-by-step explanation:

Angles P and Q are equal to the right side of R ( solve for x )

Helppppoooo!!!! It’s 10 points plus I’ll mark first answer the brainliest answer!!! Ty! ❤️

Answers

Answer:

9x8=72

Step-by-step explanation:

because it counting by nines

there fore some are different but if you multiply them you will get same answer for the  multiplication table shown of nines

example :9x7=63

1x7=7

9x1=9

9x7=63

Answer:

72 is the answer to 9x8

Step-by-step explanation:

have a good day!! :)

50 POINTS IF YOU CAN ANSWER IT!
(Click the photo to see the math problem)
Suppose your community has 3580 people this year. the population is growing 2.5% each year.
Write an exponential function to model the population. what will the population be in 3 years? Graph the function and give the domain and the range. ​

Answers

Step-by-step explanation:

a could be 3580 X 1.25^n

b could be 6992.19

dk c

Need help!!! Worth 40 points!!!

Answers

look on google

Step-by-step explanation:

go on google

search the answer

then BOOM!

Answer:

The answer is the first option x(x-4)(x-1)/2(x+4).

Step-by-step explanation:

because when you simplify after multiplying the denominator is 2x+8 when you simplify that its 2(x+4) and for the numerator after multiplying you get x^3−5x^2+4x when you simply that you get x(x-4)(x-1). Answer would be x(x-4)(x-1)/2(x+4).

Show the work! Ill mark Brainliest!
2x - 3y = 12

Answers

Answer:

here is explanation by graph

2xy , cu x + y = 9 divizibil cu 2. repede va roggg

Answers

Answer:

jvjjvscsjcsjsvjscjsvhchhcuhcjwcwh ejcisvsufjdtsydghcwhcjwvhsvjscekfdjsvjsfjsvkdvs

Step-by-step explanation:

30y

10. Simplify r +6 - 3x - 8.
F. -2x-2 G. -2x-14
H. -3x-14
I.-3x -2
G-3-8 2x-8

Answers

The correct answer is:

I. -3x-2

At that rate, how many minutes will it
take for the plane's altitude to change
by -5,400 meters?
Please answer I need to finish this now it’s already past due

Answers

Answer:

It would require 12 minutes for the plane's attitude to change by -5,400 meters.

Step-by-step explanation:

As the altitude (or height) of a plane landing at an airport-changes at a rate of -450 meters per minute.

∴ unit rate = -450 meters/per minute

We have to determine how many  will it  take for the plane's altitude to change  by -5,400 meters.

Altitude change per minute = -450 meters

i.e.

-450 × 1 = -450 meters    (altitude change in 1 minute)

so

-450 × 12 = - 5400 meters  (∴ unit rate = -450 meters/per minute)

At this rate, it would require 12 minutes for the plane's attitude to change by -5,400 meters.

Because -450 × 12 = - 5400 meters

Therefore, it would require 12 minutes for the plane's attitude to change by -5,400 meters.

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