the amount of gasoline used by a car varies jointly as the distance travelled and the square root of the speed.Suppose a car used 25 liters on a 100 km trip at 100kph,about how many liters will it use on 1000 km trip at 64 kph?​

Answers

Answer 1

Answer:

200 litres

Step-by-step explanation:

let g be gasoline used, d the distance travelled and s the speed, then the equation relating the quantities is

g = kd[tex]\sqrt{s}[/tex] ← k is the constant of variation

To find k use g = 25, d = 100 and s = 100, then

25 = k × 100 × [tex]\sqrt{100}[/tex] = k × 100 × 10 = 1000k ( divide both sides by 1000 )

0.025 = k

g = 0.025d[tex]\sqrt{s}[/tex] ← equation of variation

When d = 1000 and s = 64, then

g = 0.025 × 1000 × [tex]\sqrt{64}[/tex] = 0.025 × 1000 × 8 = 200


Related Questions

In a week tracy earns 12.45$ less than twice the amount kayla earns tracy earns 102.45$ how much does kayla earn

Answers

Amount Kayla earns = x
So Tracy earn =2x-12.45

2x - 12.45 = 102.45
2x=114.9
x =57.45

so Kayla earns = $57.45

what is the missing number​

Answers

Answer i believe the rule is y= x/2 so n=6

Step-by-step explanation:

The directions on a sewing pattern say to cut an extra 15% of fabric to account for error. Chloe needs 0.75 yard of fabric to make a skirt, so she cuts 0.1125 yard. Did Chloe cut the correct amount of fabric? Why or why not?

Answers

Answer:

Step-by-step explanation:

for an error. Chloe needs a 0.75 yard of fabric to make a skirt, so she cuts - 77… ... The directions on a sewing pattern say to cut a extra 15% of fabric to account for an error. Chloe needs a ... yard. Did Chloe cut the correct amount of fabric? ... No, Chloe cut only 15% of the .75 yards of fabric she needed

Which point is on the graph of f(x) = 2 • 5x?

Answers

Answer:

1, 10

Step-by-step explanation:

the answer is 10, message if u need anymore help

What’s 10x10+294892-2387482=?

Answers

Answer:

557,510

Step-by-step explanation:

haha big brain(jk calculater)

Answer:

557,510

Step-by-step explanation:

caculator

Pls help asap will mark brainleist

Answers

Answer:

10

Step-by-step explanation:

Since the Y axis is the same you add 3+|-7|

so thats 10, which makes your answer 10

help please 85 points and brainiest. wrong answers will be reported

Answers

Answer:

Im pretty sure the answer is y=5

Step-by-step explanation:

can someone help :)) and pls explain how u got it so i can understand

Answers

Answer:

B) x = 20

Step-by-step explanation:

The formula for finding the missing side of a right triangle is: a^2+b^2=c^2.

C represents the longest side of the right triangle, so if we plug in the given lengths, we can solve: 12^2 + 16^2 = x^2

Solve the exponents: 144 + 256 = x^2

Add: 400 = x^2

Find the square root: 20 = x

Find the average rate of change between n = 2 and n = 4. (6 points) Question 10 options: 1) negative one fourth 2) one fourth 3) −4 4) 4

Answers

Answer:

 -4

Step-by-step explanation:

From the graph:

When n=2 , a^n =9

When n=4, a^n =1

The average rate of change between n=2 and n=4 is :

[tex]Rate= \frac{{{a_{2} -a_{4} } } }{2-4} \\=\frac{9-1}{-2} \\=-4\\[/tex]

The average rate of change is  -4

PLEASE MARK ME AS BRAINLIEST

round off 2409725 to nearest 10​

Answers

Answer:

Hey!

Step-by-step explanation:

Your answer is 2409725.0

Best of luck ♥

Answer:

2409730

Step-by-step explanation:

Is the square root of 7 minus the square root of 7 a rational number?

Answers

Answer:

No

Step-by-step explanation:

Forgive me if i'm wrong lol

so the square root of 7 is 2.64, 2.64 minus 2.64 is 0, and it is not rational since it can't be written as a fraction.

dont hate me if im wrong im so sorry <3

NEED HELP ASAP PLEASE
[tex](4 {c}^{2} - + 15c + 18) \div (c + 2)[/tex]

Answers

4c-23+64/c+2
I hope this help

Grace has a bag of candy corn with 378 pieces. She wants to divide it equally and give it to 9 friends in smaller bags. How many pieces of candy corn should she put in each bag?

Answers

Answer:

42 pieces

Step-by-step explanation:

you do 378÷9

then you'll get the answer which is 42 pieces

A triangular prism has a base edges 2cm, 4cm, and 5cm long. It’s lateral area is 231cm . What is the height of the prism

Answers

Answer:

For your specific problem, h = 300 / (4 + 5 + 6) = 300 / 15 = 20

Do these ratios form a proportion 6/3 and 9/12

Answers

6:3 6 to 3, 9:12 9 to 12 i think that’s what you mean

Answer:

No

Step-by-step explanation:

6/3=18/9

9/12=18/24

Also 6/3=2 and 2 does not equal 9/12

write n^5 x n^2 without exponents ​

Answers

(n x n x n x n)(n x n)

The value without Exponent are  n x n x n x n x n x n x n.

What are Exponents and Powers?

Exponents and powers can be used to represent extremely big or extremely small numbers in a more straightforward fashion.

For example, if we have to show 3 x 3 x 3 x 3 in a simple way, then we can write it as [tex]3^4[/tex], where 4 is the exponent and 3 is the base.

Given:

[tex]n^5[/tex] x n²

Using the Property of Exponents and power

[tex]a^m[/tex] x [tex]a^n = a^{m+n[/tex]

So, [tex]n^5[/tex] x n²

= [tex]n^{5+2}[/tex]

= [tex]n^7[/tex]

= n x n x n x n x n x n x n

Hence, the exponents is n x n x n x n x n x n x n.

Learn more about Exponent and power here:

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please help
step by step please

Answers

Answer:

The answer is 6

Step-by-step explanation:

First,

10 x 3 ( numerator ) = 30

30 divided by 5 = 6

Answer:

The answer is 6

Step-by-step explanation:

  10 * [tex]\frac{3}{5}[/tex]

= [tex]\frac{10 * 3}{5}[/tex]

= [tex]\frac{30}{5}[/tex]

= 6

P(x) = 3x3 - 3x2 + x - 1?​

Answers

Answer:

Step-by-step explanation:

2. The following list of prices is for a used original radio for a 1955 Thunderbird. The prices vary
depending on the condition of the radio.
$210, $210, $320, $200, $300, $10, $340, $300, $245, $325, $700, $250, $240, $200
a. Find the mean of the radio prices. Round to the nearest cent.

Answers

Answer: $275

Step-by-step explanation:

The mean of the radio price is $275 or 27500 cents

Given,

Price of used original radio for a 1955 Thunderbird:

$210, $210, $320, $200, $300, $10, $340, $300, $245, $325, $700, $250, $240, $200

We need to find the mean of these prices.

And round to nearest cent.

What is the mean of a set of values?

The mean is the average of all the given sets of values.

Example:

1,2,3,4

Mean = (1+2+3+4) / 4 = 10/4 = 2.5

Find the sum

$210, $210, $320, $200, $300, $10, $340, $300, $245, $325, $700, $250, $240, $200

Sum=(210+210+320+200+300+10+340+300+245+325+700+250+240+200)

Sum = 3850

Find the number of prices.

= 14 prices

Find the mean.

= 3850 / 14

= 275

The mean radio price is $275.

Converting into cents.

$1 = 100 cents

$275 = 27500 cents

Thus the mean of the radio price is $275 or 27500 cents

Learn more about finding mean here:

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HELP PLSSSS

Which number best represents the slope of the graphed line?
y
+10
15
-10
-5
5
10
--5
-10
OA. -5
OB.
Ос.
OD. 5

Answers

maybe try -5 since the rise/run is 5/1 and the slope is negative

The slope of the graphed line is m = -5

What is an Equation of a line?

The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept

And y - y₁ = m ( x - x₁ )

y = y-coordinate of second point

y₁ = y-coordinate of point one

m = slope

x = x-coordinate of second point

x₁ = x-coordinate of point one

The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Given data ,

Let the equation of line be represented as A

Now , the value of A is

Let the first point be P ( 0 , 2 )

Let the second point be Q ( 2 , -8 )

Now , the slope of the line is m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Substituting the values in the equation , we get

Slope m = ( 2 - ( -8 ) ) / ( 0 - 2 )

m = 10 / -2

m = -5

Hence , the slope is m = -5

To learn more about equation of line click :

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What is the product of radical 6 and 10 radical 12 in simplest radical form

Answers

Answer: 60√2


Explanation: We can combine the 6 and 12 because they are both under the radical and get 10√72.

We can simplify the √72 to √(36*2), which becomes 6√2.

We can then multiply the 6 and 10 (both are outside the radical) to get 60√2.

If you check both my answer and the problem in the question, you get approximately 84.9.

3/4 divided by 6/7 find the quotient

Answers

Answer:

Math

Step-by-step explanation:

12

Answer:

0.875

Step-by-step explanation:

7/8

0.875

Help babes bbhgchvvhgcbhxvb

Answers

Answer:

(4,-3) or -3

Step-by-step explanation:

2 - -8 =

2 + 8 =

10 / 2 =

5

-8 + 5 = -3

2 - 5 = -3

So, (4,-3)

Hope that helps!

Noah has 5 meters of rope. How many pieces of rope of length 1/2 meter can he cut from it? Draw a diagram to illustrate your solution.​

Answers

he can cut 10 half meters of rope

HELPPPP ME. please!!!!

Answers

Answer:

w<5

Step-by-step explanation:

to the left means less to the right means greater. its it to the left of 5 then it is less than 5

Answer:

I believe you have the the answer mark

What point must a proportional equation pass through?

Answers

Answer:

A graph of a proportional relationship must pass through (0, 0).

Step-by-step explanation:

Each point (or pair) in a proportional relationship must share the same difference. 2

3(x-3) = -2x + 31 what is the value of x?

Answers

Answer:

x= 8

Step-by-step explanation:

1. Expand.

3x-9=-2x+31

2. Add 9 to both sides.

3x=-2x+31+9

3. Simplify  -2x+31+9  to -2x+40.

3x=-2x+40

4. Add 2x to both sides.

3x+2x=40

5. Simplify  3x+2x+5x.

5x=40

6. Divide both sides by 5.

x = 40/5

7. Simplify 40/5 to 8.

x=8

Jeff can type 110 words in 2 3/4 minutes. How many words can he type
in 4 1/4 minutes? *

Answers

Answer:

680

Step-by-step explanation:

What we should know is how many words he can type in 1/4 minutes. We can do 110 divided by 2.75 which is 40. 40 is the number of words he can type in 1/4 minutes. Now multiply this 17 (4 1/4 = 17/4) and you get 680. I believe he can type 680 words in 4 1/2 minutes. (Make sure my answer is correct)

If the NCUA charges 3.3 cents per 100 dollars insured and Credit Union M pays $5,995 in NCUA insurance premiums, approximately how much is in Credit Union M’s insured deposits?

Answers

6,000 is the answer to the question have a blessed day

Answer:

c

Step-by-step explanation:

I urgently need help!!!!

Answers

Answer:

No

Step-by-step explanation:

Hypotenuse-leg is for right triangles, which these aren't.

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