A car travels 150km on 12 L of gasonline. How many liters are there of gasoline needed to travel 500km

Answers

Answer 1
150 = 12
150 +150 = 300 which = 24
150 + 150 + 150 = 450 which =36



the remaining 50 is 12 ÷ 3, so 4. 36 + 4 = 40.

therefore, 40 L of gasoline are needed to go 500km
Answer 2

You can use the given distance to amount of gasoline used relationship to find how much gasoline is needed for 1 km of traveling. Then use that data to find the amount of gasoline needed to travel 500 km.

The amount of gasoline needed to travel 500 km is 40 L

How to find the gasoline used for 1 km of distance traveled?

We can equate the 150 km figure to 12 L use of gasoline on the basis of usage.

Thus,

[tex]\rm 150 \: km = 12 \: L\\\\\\\text{Dividing both quantities in 150 parts}\\\\\\dfrac{150}{150} \: km = \dfrac{12}{150} \: L\\\\1 \: km = 0.08 \: L[/tex]

Thus, there will be use of 0.08 L gasoline for travelling 1 km by that same car.

Using that above derived relationship, we can find the amount of gasoline needed to travel 500 km by that same car.

[tex]1 \rm \: km = 0.08 \: L\\\\\text{Multiplying 500 on both the sides}\\\\500 \: km = 40 \: L[/tex]


Thus,

The amount of gasoline needed to travel 500 km is 40 L

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Related Questions

Suppose three people ate a meal in a restaurant. The cost of each of their meals is m. One person intends to tip 10%, the second person intends to tip 15%, and the third person intends to tip 20%. Which expression represents the total amount that they'll pay?

A. 1.1m + 1.15m + 1.2m
B. 0.1m + 0.15m + 0.2m
C. 1.1m + 2.15m + 3.2m
D. 1 + 0.1m + 1 + 0.15m + 1 + 0.2m

Answers

Your answer would be D

For this case we have:

m represents the total cost of each meal. If people do not pay a tip, the total cost to pay would be:

[tex]m + m + m = 3m\\[/tex]

Person 1:

Without tip the cost of your meal is m.

You want to pay 10% tip

m -------------------> 100%

x --------------------> 10%

[tex]x =\frac{(10)(m)}{100} = 0.1m\\[/tex]

Thus, its cost will be:

[tex]C1 = m + 0.1m = 1.1m\\[/tex]

Person 2:

Without tip the cost of your meal is m.

m -------------------> 100%

x --------------------> 15%

[tex]x =\frac{(15)(m)}{100} = 0.15m\\[/tex]

Thus, its cost will be:

[tex]C2 = m + 0.15m = 1.15m\\[/tex]

Person 3:

Without tip the cost of your meal is m.

m -------------------> 100%

x --------------------> 20%

[tex]x =\frac{(20)(m)}{100} = 0.20m\\[/tex]

Thus, its cost will be:

[tex]C3 = m + 0.20m = 1.20m\\[/tex]

Thus, the total cost to pay will be:

[tex]C = 1.1m + 1.15m + 1.20m\\[/tex]

Answer:

[tex]C = 1.1m + 1.15m + 1.20m[/tex]


how to get better in math? ;(

Answers

Study, study, study!

Ask your teacher for help and if he/she is the type of teacher who's lazy get a tutor it's better to have someone explain it to you to understand better then only knowing half of it. ((:

look at the example before you start....

Morgan wants a birthday cake with no vertices. What shape cake should she buy

Answers

The answer to your question is,

a round cake. :)))))

Answer:

Cylinder

Step-by-step explanation:

50 points
Find the missing value to the nearest hundredth. I need an explanation and all work shown.

Answers

Sinx =8/40
in order to solve this you would have to use the inverse which would be Sin^-1(8/40) giving you 11.5

−3 3/4 ÷ 3 = ?

This is quite easy, I forgot my calculator though, and I mostly rely on that.

Answers

Answer:

-1 1/4

Step-by-step explanation:

Do it in pieces. Everything is divisible by 3, so you can do it in your head.

... (-3 3/4)/3 = (-3/3) -(3/4)*(1/3) . . . . . an integer part divisible by 3, and a fraction divisible by 3

... = -1 -(3*1)/(3*4) . . . . factors of 3 cancel

... = -1 -1/4

... = -1 1/4

_____

Hopefully, it's no mystery that 3 quarters divided by 3 is 1 quarter, just as (3 whatever) divided by 3 is (1 whatever).

_____

It really does help to play with blocks, Legos, chips, coins, rocks, or counters of any kind. Arrange them, deal them into piles, put them is rectangles or triangles (and be aware of how many you use). It also helps to cook from recipes that require use of fractional measures. The cups and spoons give you a sense of what size fractions are larger/smaller, and how they are related. Appropriate play with counting and arranging and measuring can help you develop your number sense, and help you learn to do problems like this in your head.

water is not a liquid if its temperature is above 100° C or below 0°C

Answers

Final answer:

Water exists as liquid between 0°C and 100°C under normal atmospheric pressure. Under different pressures or at extremely high temperatures, water can exist as solid (ice), gas (steam), or even as a supercritical fluid that possesses the properties of both liquid and gas.

Explanation:

The state of water changes with temperature and pressure. Under normal atmospheric pressure, water is liquid between 0°C and 100°C. Below 0°C, it becomes a solid (ice), and above 100°C, it becomes a gas (steam). But these thresholds can change under different pressures.

If the temperature rises above 100°C under pressure, water can remain liquid. This is why pressure cookers can cook food faster, as water can stay liquid above 100°C and transfer heat more efficiently. However, above a certain limit, called the critical point(374°C at 218 atmospheres for water), water enters a state where it's neither liquid nor gas but supercritical fluid.

Supercritical fluid possesses properties of both liquid and gas. For instance, it expands to fill its container like a gas, but it also has the ability to dissolve substances like a liquid. In fact, supercritical CO2 is used as an efficient solvent in many industrial and laboratory processes.

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15 divided into 6396 show the steps on how to solve I know the answer is 42 just don’t know the step to put in order

Answers

6396÷15=426.4

15 will go into 63 4 times with 3 left

bring down the 9 now you have 39 and 15 will go into it 2 times with 9 left

bring down the 6 you have 96 and 15 will go into that 6 times with 6 left

put you decimal after the 6 and bring down a 0

60 ÷ 15 =4

0 remainder


Write each percent as a decimal and as a mixed number or fraction in simplest form 400%

Answers

400 as a decimal would be 4.0, as a fraction would be 4.
Final answer:

400% can be written as a decimal by dividing by 100, resulting in 4.0. As a fraction or a mixed number, 400% simplifies to 4/1 or just 4.

Explanation:

To convert the percent 400% to a decimal and to a mixed number or fraction in the simplest form is straightforward.

First, to convert a percent to a decimal, you would divide the number by 100. So, 400% as a decimal would become 4.0 (that is, 400 ÷ 100).

Secondly, to convert a percent to a fraction, you divide the percent by 100 and reduce the fraction to its simplest form if possible. Since 400% is equal to 400/100, we can reduce this to 4/1 or 4 as a whole number or mixed number (since there is no fraction part to it).

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what is 4842 divided by 93 ?

Answers

4842 ÷ 93 = 52.064516129

Earth has been charted with vertical and horizontal lines so that points can be named with coordinates. The horizontal lines are called latitude lines. The equator is latitude line 0. Parallel lines are numbered up to pi/2 to the north and to the south. If we assume Earth is spherical, the length of any parallel of latitude is equal to the circumference of a great circle of Earth times the cosine of the latitude angle.
a. The radius of earth is about 6400 kilometers. Find the circumference of a great circle.
b. Write an equation for the circumference of any latitude circle with angle 0
c. Which latitude circle has a circumference of about 3593 kilometers?
d. What is the circumference of the equator?

Answers

Answer:


Step-by-step explanation:

a) Circumference of great circle = 3.14r^2

= 6400(6400) 3.14= 128614400 km.

b) When angle =0 circumference =

pir^2cos 0

= 128614400 km since cos 0 = 1

c) When 3593 = 128614400 cos t

i.e. cost = 89.998

The circle around latitude which angle makes 89.998 with horizontal axis.

d) Circumference of equator = circum. of greater circle = 128614400 km

Alicia bought 4 T-shirts for $23.00. Using the unit rate, how much would 6 T-shirts cost?

Answers

Try finding what the amount for 1 t-shirt would be: 23 divided by 4. We get 5.75. What we can do next is multiply 5.75 by 2 since we're trying to find out the cost of 6 t-shirts, this gives us 11.5. So now we add 23 to 11.5. We get 34.5. This means that 6 t-shirts would cost $34.50

Using the unit rate, the amount that the 6 T-shirts cost is $34.50.

First step is to calculate the unit rate

Unit rate=$23.00÷4

Unit rate=$5.75

Second step is to calculate the cost of the  6 T-shirts using this formula

Cost=Unit rate× Number of T-shirts

Let plug in the formula

Cost=$5.75×6

Cost=$34.50

Inconclusion using the unit rate, the amount that the 6 T-shirts cost is $34.50.

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what is the ratio of 6 apples and 2 oranges in simplest form?

Answers

Answer:

apples to oranges:  6:2, or 3:1.

Step-by-step explanation:


A dartboard has 8 sections of equal area. The letters represent colors red (R), yellow (Y), blue (B), and green (G). Complete the probability distribution for a dart that hits the board at a random location.
Red: 1/8
Yellow:?
Green: 3/8
Blue: 1/8

Answers

Answer:

3/8

Step-by-step explanation:

If you add the top number of all the fractions you get 5. You need to get to 8, 8-5=3 so that means yellow has to be 3/8.

2/8 or 1/4 because 1/8+1/8+3/8=6/8 and 8/8-6/8=2/8 or 1/4

help me please i'm having alot of trouble

Answers

204

71:35=2

2 goes on the top

2x35=70

71-70=1

then carry them down 14

14:35=0

Carry it up it should be 20 up there now

Carry the 0 from the 7140 down to make it 140

140:35=4

Then carry that 4 up and your answer is 204



Please help with this Piecewise problem!!

I can't figure it out, I would really appreciate some help!

Answers

Remark

That was well worth doing. Desmos gave you the answer to the graph. Unfortunately I can only give you the correct graph. You will have to figure out from the choices which one is the correct answer -- or edit it so I can see what the rest of the question is.

Graph

The red one is f(x) is x + 3 {x <= -2}

The blue one is f(x) is x^2 - 1 {-2 <x <1} Notice the gap at 2. It is not continuous

The green one is f(x) is log_2(-x + 3)  {1 <=x < 3} and there is a gap between the blue and green one.

Five times the smallest of three consecutive odd integers is seven more than twice the largest. Find the largest integer.

Answers

The largest integer is 9.

What are odd numbers?

Odd numbers are numbers that cannot be divided into two equal halves without remainders. For example, 1 is an odd number.  Consecutive odd numbers are odd numbers that follow each other on the number line. For example, 1,3, 5.

What is the largest integer?

Let the smallest integer by represented with x

The third largest integer would be x + 4

(5x) -  2(x + 4) = 7

5x - 2x + 8

5x - 2x - 8 = 7

3x = 15

x = 5

Largest number = 5 + 4 = 9

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Given the line with equation 7 − 2 = 8,

a) Write the equation in slope-intercept form.

b) State the slope of the line.

c) State the y-intercept of the line as an ordered pair.

Answers

Hey there!!

The basic slope-intercept formula :

y = mx+ b where ' m ' is the slope and ' b ' is the slope-intercept.

Given equation : 7x - 2y = 8

We will have to isolate the ' y '

... 7x - 2y = 8

Subtract 7x on both sides

... -2y = -7x + 8

Divide by - 2 on both sides

... y = ( 7x / 2 ) - 4

Hence,

slope = 7/2 = 3.5

y-intercept = ( 0 , -4 )

Hope it helps!!

Solve for x.

38(2x+16)−2=13

Answers

76x+608-2=13

76x+606=13

76x= -593

x= -7.8

How to get answer:

Step 1: Simplify both sides of the equation.

38(2x+16)−2=13

(38)(2x)+(38)(16)+−2=13(Distribute)

76x+608+−2=13

(76x)+(608+−2)=13(Combine Like Terms)

76x+606=13

76x+606=13

Step 2: Subtract 606 from both sides.

76x+606−606=13−606

76x=−593

Step 3: Divide both sides by 76.

[tex]\frac{76x}{76} = \frac{-593}{76}[/tex]

Answer:

Decimal Form: −7.80263157…

Fraction Form: [tex]\frac{-593}{76}[/tex]

Mixed Number Form: [tex]-7\frac{61}{76}[/tex]

Which of the following numbers dosen't belong?
64,16,36,32,8,4

Answers

36 doesn't belong.

4*1=4

4*2=8

8*2=16

16*2=32

32*2=64

36 doesn't belong because of the pattern

You lose two points every time you forget to write your name on a test. You have forgotten to write your name for transfer what Integer represents your change in plans for forgetting to write your name?

Answers

the answer is -2........
-2 as you haven't stated if you have finished with any number of points. so....0-2=-2

-15+22=m- 8 thanks for the help

Answers

The answer is ( m=15 )

Write the standard form of the equation of the line that passes through point at (4,2) and is parallel to whose equation is y=2x-4

Answers

Since the equation is parallel to y=2x-4 that means they have the same slope. Now that you have the slope and fortunately a point, you can solve this by using point slope formula
[tex]y - y1 = m(x - x1)[/tex]
Which is what I did on the attached picture and just rearrange it after solving to Ax+By=C/2x-y=6

ANSWER MY QUESTION OR ILL SEND BALDI AFTER YOU!!

1. Which numbers are all divisible by 5?

A. 124, 333, 315, 266, 391
B. 135, 205, 330, 275, 365
C. 135, 211, 330, 274, 252
D. 232, 250, 365, 225, 210

2. Which digit(s) makes 3,71[_] divisible by 3?

A. 3 only
B. 7 only
C. 1 only
D. 1, 4 and 7.


3. List all the factors of the number 30.

A. 1, 2, 3, 5, 6, 10, 15, 30
B. 2, 3, 4, 10, 20, 30 40
C. 1, 2, 4, 5, 10, 15, 30
D. 1, 2, 4, 5, 8, 10, 20, 40

4. Which number is composite?

A. 41
B. 81
C. 31
D. 47

5. Find the prime factorization of the number 3,240.

A. 2 x 3 4th power x 5 4th power
B. 2 3rd power x 3 4th power x 10
C. 2 3rd power x 3 4th power x 5
D. 2 3rd power x 3 5th power x 5


6. FIND THE GCF OF THE NUMBERS. (GREATEST COMMON FACTOR)
140, 180
A. 20
B. 90
C. 30
D. 10

7. FIND THE GCF OF THE NUMBERS.
24, 66

A. 90
B. 264
C. 6
D. 12

8. 20k + 50 show work please. --Baldi


9. 10h + 6 - 5h + 3 show work please. --Baldi

Answers

Your answers are:

bdabcacFactor out 10 from the expression so you end up wtth 10(2k + 5)10h + 6 - 5h + 3 --> 10h - 5h = 5h ~ 6 + 3 = 9 --> 5h + 9

Answer:

im going to have to go with the person who put the first answer

Step-by-step explanation:

Write the equation of the line that represents this graph. Show your work or explain how you determined the equations.

Answers

First the slope must be found.

The graph goes from (0,300) to (450,0), so the slope is falling by 300 every 450 units

numerically, the slope is

[tex] \frac{ - 300}{450 } [/tex]

which simplifies to

[tex] \frac{ - 2}{3} [/tex]

the y intercept is visible on the graph as 300, so now we plug in what we know to slope intercept form

y = (slope) x + y-intercept

[tex]y = \frac{ - 2}{3} x + 300[/tex]

I need help right away pleasssseeeeeee

Answers

5 1/2 + 12 (1 1/4)

= 5 1/2 + 12 (5/4)

= 5 1/2 + 53/4

= 11/2 + 53/4

= 22/4 + 53/4

= 75/4

= 18 3/4


Answer:  18 3/4 inches


Hoped this helped


what is 10 minus (-43)

Answers

Answer:

The correct answer is 53.

Step-by-step explanation:

When subtracting by a negative number, the subtraction symbols cancel and we are left with an addition problem. See the work below.

10 - (-43)

10 + 43

53

Answer:

53

Step-by-step explanation:

To solve this problem you must apply the proccedure shown below:

1. You have the following exercise:

[tex]10-(-43)[/tex]

2. You must multiply the signs. When you multiply two negative signs the result is positive:

[tex]10+43[/tex]

3. Now, you can make the addition:

[tex]10+43=53[/tex]


Xavier older brother has 568 songs on his music player. To the nearest hundred, about how many songs are on the music player?

Answers

600 songs. Rounded to the nearest hundred.

600 songs are on

The music player

the awnser of the question plzzz

Answers

Let p = amount of money Damien earns
X= the number of hours he works

p=8x

Hey there! Welcome to Brainly

We see that Damian earns $8 for every hour he works. This means that when x=1, Damian will earn 8 dollars, 2 he will earn $16, etc.

Since he constantly adds 8 every hour, it would look like this.

8+8+8+8+8+8+8.....

This is an example of multiplication.

The thing is, we are not sure how many 8's we are adding.

We can use the variable "x" to represent ANY number of 8's, or hours he worked.

We would multiply this x by 8 to show that he will earn $8 for EACH number of hours he works.

8 x x

The problem is, we cannot write our multiplication sign like this, because it looks just like our x we are using.

We can rewrite our multiplication symbol using · or we can just put our x right next to the eight. When a variable is right next to a constant, or number without a variable, it turns it into a mini multiplication equation, but in a simplified form.

8x

Now, we need to write this as an equation. We need to say that something else is equal to 8x. We could say, his money, which we can represent with as d.

Therefore, we could write our equation as d= 8x.

I hope this helps! Have a day as sweet and fresh as lemonade! :)


The length of a rectangle is 4 more than twice the width of the rectangle. The perimeter of the rectangle is 92 centimeters. Find the length of the rectangle

Answers

X=length
2(2x+4)+2x=92
4x+8+2x=92
6x+8=92
-8. -8
6x=84
/6. /6
X=14

Hopefully I did that correctly
Width = x
2(2x + 4) + 2(x) = 92

I think

A store is giving away a $10 coupon to every 7th person to enter the store and a $25 coupon to every 18th person to enter the store. which person will be the first to get both coupons?

Answers

Hello  Beathegggirlboss101

The answer would be the 126th person

We have to find what would be divisible to 7 and 18.

Trying to divide 126 by 7 and 18 (different problems) would get the answer

:)

The 126th person will be the first to get both coupons.

Explanation: The lowest common factor of 7 and 18 is 126 (which means the number that 7 and 18 multiply into.)

Hopefully this makes sense and was helpful. (:

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