A car travels 470.7 kilometers on 52.3 liters of gas. How much gas will it need to go 345.6 kilometers?

Answers

Answer 1

Answer:

38.4[litres].

Step-by-step explanation:

[tex]1. \ the \ rule \ \frac{470.7[km]}{52.3[l]} =\frac{345.6[km]}{x};[/tex]

[tex]2. \ x=\frac{345.6*52.3}{470.7}=38.4[l].[/tex]


Related Questions

Solve the equation.
7- 3n = 11n+ 2

Answers

if ur solving for n then its -2
n=-1/4
3n-11n=11n+2-11n

Solve for percent error: At a school production, the drama club advisor
predicted that there would be 200 people on the first night. Find the
percent error if 250 people attend.

Answers

Answer:

25 %

Step-by-step explanation:

Error = (actual - predicted) / (predicted)

= (250-200) / 200

= 50 / 200

= 0.25

multiply by 100 to conver to a percent

25 %

If Delta FGH sim Delta KJH find FH .​

Answers

Answer:

39

Step-by-step explanation:

Two triangles are similar so we can use the similarity ratio to calculate the value of x this way we can find the length of FH

(x+8)/32 = (4x-25)/52 cross multiply expressions

52x + 416 = 128x - 800 export like terms to the same side of equation

416 + 800 = 128x - 52x

1216 = 76x divide both sides by 76

16 = x then the length of FH

4*16 - 25 = 39

Solve for W if:
4w^2+9w=-2

Answers

I think the answer is w1=-2, w2=-.25
Hope it helps

Select the four equivalent expressions to 4x^2 - 4x -24

A - 2x^2 - 2x - 12

B - 4(x^2 - x - 6)

C - 4(x - 3)(x + 2)

D - (2x - 2x)^2 - 24

E - (4x - 12)(x +2)

F - (x - 3)(4x + 8)

Answers

Answer:

b. 4(x^2 - x - 6)

c. 4(x - 3)(x + 2)

e. (4x - 12)(x +2)

f. (x - 3)(4x + 8)

hope it helps :)

mark brainliest!!

The image below represents a Function. Describe what is happening in this "machine".

Answers

Answer:

The input is being multiplied by 10.

This can be represented with the function x * 10 = y with x representing the input and y representing the output.

Step-by-step explanation:

Point A=(7,9) is dilated from the origin by scale factor of r=11. what are the coordinates of point A

Answers

Answer:

42 and 54

Step-by-step explanation:

how do you know how many points are needed to make a graph of a polynomial function from a table? are there a safe number of points to make the graph of any polynomial function? if so, what is that number? please help, explain well if possible

Answers

Step-by-step explanation:

You need a arbitrary points that will help you determine the sketch of the graph. I say use at most 5 points but you just need to know the following

The exterma: The maximum/minimum points on a certain interval.

The zeroes: What values willTheorem, Factoring, and more to help you find the zeroes.

Increasing and decreasing behavior between the consective zeroes: How the function behaves around consective zeroes. It must be above or below x axis between the zeroes.

And finally, the end behavoir: How the function behaves as x approaches infinity and negative infinity. Does the function increases or decreases.

That it. If you need an example, just ask me


8-kg lead brick falls from a height of 1.6 m.
(a) Find its momentum as it reaches the ground.
Ikg-m/s
(b) What Impulse is needed to bring the brick to rest?
N-s
(c) The brick falls onto a carpet, 2.0 cm thick. Assuming the force stopping it is constant, find the average force the carpet exerts on the brick
N
(d) If the brick falls onto a 6,0 cm foam rubber pad, what constant force is needed to bring it to rest?

Answers

The magnitude of the impulse needed to bring the brick to rest is given by the initial momentum of the brick.

The correct responses are;

(a) 44.8 kg·m/s(b) 44.8 N·s(c) 6,278.4 N(d) 2,092.8 N

Reasons:

The velocity of the brick as it reaches the ground is given by the formula;

v² = 2·g·h

v = √(2·g·h)

Where;

h = The height of the brick, h = 1.6 m

g = The acceleration due to gravity ≈ 9.81 m/s²

Therefore;

v ≈ √(2 × 9.81 m/s² × 1.6 m) ≈ 5.6 m/s

(a) Momentum = Mass × Velocity

The momentum of the brick = 5.6 m/s × 8 kg = 44.8 kg·m/s

(b) Impulse = Force × Δt = Mass × Δv

Mass × Δv = 8 kg × (5.6 m/s - 0) = 44.8 kg·m/s = 44.8 N·s

Therefore, the impulse = 44.8 N·s

(c) The distance over which the carpet stops the brick = 2.0 cm = 0.02 m

Initial energy in the brick, E = m·g·h

Which gives;

E = 8 kg × 9.81 m/s² × 1.6 m = 125.568 J

Energy = Force × Distance

[tex]\displaystyle Force \ carpet \ exerts \ on \ brick, \ F = \frac{125.568 \, J}{0.02 \, m} = \mathbf{ 6,278.4 \, N}[/tex]

The average force the carpet exerts, F = 6,278.4 N

(d) If the brick falls on a foam which is 6.0 cm (thickness), we have;

Distance = 6.0 cm = 0.06 m

Therefore;

[tex]\displaystyle Force, \, F = \frac{125.568 \, J}{0.06 \, m} = \mathbf{2,092.8 \, N}[/tex]

The constant force needed to bring the brick to rest is, F ≈ 2,092.8 N

Learn more about force and energy here:

https://brainly.com/question/6366228

https://brainly.com/question/528149

work out the perimeter of this semicircle the radius is 11cm take π to be 3.142 and write down all of the digits given by your calculator

Answers

The answer is 34.54 cm

What is the area and circumference of a circle?

The circumference (or) perimeter of a circle = 2πr units. The area of a circle = πr2 square units. Where r is the radius of the circle. The circumference of the circle or the perimeter of the circle is the measurement of the boundary of the circle. Whereas the area of the circle defines the region occupied by the circle.

Given here: Radius=11cm

Thus circumference of the semi-circle is = πr

                                                                      =3.14×11

                                                                       =34.54 cm

Hence, The answer is 34.54 cm

Learn more about circumference of a circle here:

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9 + (-6) = 3 is this correct

Answers

Answer:

yes u are correct,it's does equal that

20 Points Please Help

Answers

1. 31, 37, 43, 49, 55

That’s all I know from this I apologize, I’m only a freshman in hs lol
Good luck and Merry Christmas, happy holidays

Officer Brimberry wrote 32 tickets for traffic violations last week, but only 12 tickets this week. What is the percent decrease? Give your answer to the nearest tenth of a percent. [The percent decrease is___%​

Answers

Answer:

62.5 %

Step-by-step explanation:

you have to subtract 32-12, which equals 20

then divide 20 by the original amount (20/32)

20/32= .625, then you have to multiply to get the final answer...hope this helped!

what is 7.5% as a fraction

Answers

Answer:

15/2

Step-by-step explanation:

hope it helps (•‿•)

pls help on my maths

Answers

Answer:[tex]r = 2.82[/tex]Step-by-step explanation:

Given:

[tex]A = 25[/tex]

Let's simplify.

=> [tex]25 = \frac{22}{7} r^{2}[/tex]=> [tex]\frac{25}{\frac{22}{7} } = \frac{\frac{22}{7}r^{2} }{\frac{22}{7\\} }[/tex]=> [tex]\frac{7(25)}{22} = r^{2}[/tex]=> [tex]\sqrt{\frac{25(7)}{22}}= \sqrt{r^{2}}[/tex]=> [tex]\sqrt{\frac{25(7)}{22}}= r[/tex]=> [tex]r = 2.82[/tex] (Estimated)

Therefore, r ≈ 2.82.

Hoped this helped.

Answer:

r= 5/√  π

or

r=2.820948 or simplified =2.82

Step-by-step explanation: it could be either one of these

A quadratic. equation will always have an irrational solution since there is a square root in the quadratic formula. True or False?​

Answers

Answer:

False

Step-by-step explanation:

If the square root can be simplified to a rational number the solution will not be irrational.

Answer:

False

Step-by-step explanation:

Consider reducible quadratic equations. They have rational solutions.

a *blank* *blank* trinomial has only one element in the solution set

Answers

Answer:

a solution set trinomial has only one element in the solution set

Step-by-step explanation:

if you add 12 to my number and then multiply the result by 3, you will get 64 more than two-thirds of my number. Find My number.

Answers

Answer:

Step-by-step explanation:

The number is 12.

What is number?

A number is a mathematical object used to count, measure, and label. The original examples are the natural numbers 1, 2, 3, 4, and so forth. Numbers can be represented in language with number words.

here, we have,

-> If you add 12 to my number and then multiply the result by 3, you will get 64 more than two-thirds of my number.

-> n + 12 and then multiply the result by 3, you will get 64 more than two-thirds of my number.

-> 3(n + 12), you will get 64 more than two-thirds of my number.

-> 3(n + 12) = 64 more than

-> 3(n + 12) = 64 + 2n/3

[Given]

3(n + 12) = 64 +  2n/3

[Distribute]

3n + 36 = 64 + 2n/3

[Multiply both sides by 3]

9n + 108 = 192 + 2n

[Subtract 108 and 2n from both sides]

7n = 84

[Divide both sides by 4]

n = 12

hence, The number is 12.

To learn more on number click:

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How i can answer this question?, NO LINKS, if you answer correctly i'll give u brainliest!

Answers

Answer:

9

Step-by-step explanation:

The coefficient is always the number before the variable (X).

Answer:9

Step-by-step explanation:

The coefficient is always by the variable (the number or letter)

Evaluate to function for the given value of X

Answers

[tex]\text{Given that,}\\\\\\f(x) = 9x^3 -x^2 +2 \\\\f(2) = 9(2^3) - 2^2 +2\\\\~~~~~~~ = 9(8) -4 +2 \\\\~~~~~~~= 72 -2 \\\\~~~~~~~=70[/tex]

A man left 1⁄2 of his property to his wife 1/3 of the remainder to his eldest
son and the rest to be divided equally among his five younger children,
each of whom got p60,000. How much did his wife get?

Answers

Answer: p800,000

Step-by-step explanation:

1/2         to wife

1/3         to eldest son, and

Rest(x)   to 5 youngest children

(1/2) + (1/3) + x = 1  [The sum of the shares will equal 1 estate]

(3/6) + (2/6) + x = 1

(5/6) + x = 1

x = (1/6); to be divided among the 5 youngest children

We find that each young child receives p60,000.  That group of five received 5*(60,000) = p300,000, which represents (1/6) of the total estate (Estate).

We can write:    (1/6)*(Estate) = p300,000

Estate = p1,800,000

The wife hauled in 1/2 of this, so she received p800,000.

468 divided by 3 step by step solution

Answers

Answer:

156

Step-by-step explanation:

468 ÷ 3

= 156

hope u liked the answer :)

#keep learning

The graph shows the number of possible passengers for a given number of roller coaster cars that leave the platform. Complete parts a and b.
m = 24 - [?] / [?] - 2 = [?]/1
y = [?]x

Answers

The linear equation is y = 8x and the slope of the graph is 8

A linear equation is in the form:

y = mx + b;

where y, x are variables,  m is the rate of change and b is the initial value of y.

Using the points (2, 16) and (3, 24):

[tex]slope(m)=\frac{24-16}{3-2}=8[/tex]

Hence the linear equation is y = 8x

Find out more on linear equation at: https://brainly.com/question/14323743

HELPPP ASAPPPPPPPPPPP

Answers

I can't see it can you retake the picture please so I can try to help if I know it?

The table below shows the number of minutes a household phone is used daily based on the number of household members.

Which equation best models this set of data?

A. P = -20.2x^2 - 1.3
B. P= -20.2x - 1.3
C. P= 20.2X^2 + 1.3
D. P= 20.2x + 1.3

Answers

I'm pretty sure the answer would be D) P = 20.2x + 1.3 but the answer should be P = 19.2x + 1.3, but it isn't listed so it would be D

Please help, we're supposed to be writing an equation from the table here. But I don't know.​

Answers

Answer:

y = 3x - 3

Step-by-step explanation:

This more of a guess than a reality of method. You have to try and guess which number when multiplied by 4 will give 9. It won't happen directly.

The best clue is provide by (0,-3).

So let's start with a general linear equation.

y = mx + b

If you put in 0 for x then mx disappears and you are are left with y = - 3

That means that b = - 3

So now you have

y = mx - 3  

Now try another one

y = mx - 3

y = 9

x = 4

9 = mx - 3

9 = 4m - 3            Add 3 to both sides

9+3 = 4m-3+3      Combine

12 = 4m                Divide by 4

12/4 = 4m/4        

3 = m

So the equation you want so far, is y = 3x - 3               Does it work for anything else?

Try - 3 , - 12 . If it works for this, it should work for anything.

y = 3*-3 - 3

y = -9 -3

y = - 12

and it does work, so that's your answer.

Please answer fast this is due soon

Answers

Step-by-step explanation:

multiply the first equation by 1, the second by -1 and add.

x + 2y = -16

-x - 6y = 28

--------------------

0 - 4y = 12

-4y = 12

y = -3

x + 2×-3 = -16

x - 6 = -16

x = -10

Katarina bought a package of 500 stickers. 25% of the stickers are hearts. The remaining stickers are stars. Select all the statements that are true.

Answers

Answer: 125 hearts and 375 stars

Step-by-step explanation:

25% of 100 is 25. Take 100 and x it by 5. 100 x 5 is 500 making 25 x 5 125. That being said 125 hearts and 375 stars

Answer:

125 hearts and 375 stars

Step-by-step explanation:

Without doing any calculations, is positive or negative?

Explain your reasoning.

Answers

Is WHAT positive or negative?

Answer:

what is positive or negative???

brainliest if correct




Solve.

−49x+2.4=6

Enter your answer as a decimal or as a mixed number in simplest form in the box.

x =
$\text{Basic}$

Answers

Step-by-step explanation:

[tex] - 49x + 2.4 = 6 \\ - 49x = 6 - 2.4 \\ - 49x = 3.6 \\ x = \frac{3.6}{ - 49} \\ x = - \frac{18}{245} = - 0.0735[/tex]

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