You decide to take your car on a drive through Canada, where gas is sold in liters and distances are measured in kilometers. Suppose your car's gas efficiency is 23.0 mi/gal. How many liters of gas will you need to complete a 495 km trip? Use the conversions 1 gal = 3.78 L and 1 km = 0.6214 mi.

Answers

Answer 1

Answer:

You will need 50.54 liters of gas.

Step-by-step explanation:

This question is solved by proportions.

495km trip:

The gas efficiency is given in miles per gallon, so we need to find the number of miles traveled.

Each km has 0.6214 mi, so 495 km will be 495*0.6214 = 307.593mi.

Number of gallons:

23.0 mi/gal.

So for 307.593mi, the number of gallons is 307.593/23 = 13.37 gallons.

How many liters?

Each gallon has 3.78 liters.

So 13.37 gallons will have 13.37*3.78 = 50.54 liters.


Related Questions

In scientific notation

Answers

Answer:

2*10^4

I can't see the question..

[tex]4*10^6[/tex] = 4000000

[tex]2*10^2[/tex] = 200

4000000/200 = 20000

20000 = [tex]2*10^4[/tex]

Step-by-step explanation:

I hope this helps!

Have a nice day!

and can I maybe have brainliest? Thanks!

from
The data represented by the following stem-and-leaf plot range
to
2578
324
4129
503

Answers

I say A because 25 is the first number and 53 is the last

The height of a cone is two times its base diameter. What is the volume of the cone in terms of its base radius ?

Answers

Step-by-step explanation:

Cone Volume = 1/3 ×( π r² h)      h = 2 × diameter  =  2 × 2 × r

Cone Volume = 1/3 ×( π r² h)      h = 2 × diameter    diameter = 2r

                                                       =  2 × (2 × r)  

                                                       = 4r

                                                         

Cone Volume = 1/3 ×( π r² 4r)

                        =  (4 π r³ / 3)

2.6x + 10.5 = 31.3
I need to find the answer of x whoever gets it correct will get brianliest!

Answers

Answer:

2.6x + 10.5 = 31.3

Step-by-step explanation:

the correct answer is x=8

8x/2 = 24, what value for x makes this equation true?

Answers

Answer:

x=6

Step-by-step explanation:

8x/2= 24

8x = 24× 2

8x= 48

8x÷8 = 48÷8

x= 6

Answer:

6

Step-by-step explanation:

multiply both sides by 2/8 to isolate x.

8/2x=24

2/8(8/2)x=2/8(24)

x=48/8

x=6

Approximate, in square meters, the area of a circle with radius = 58.2 m. (Round your answer to three decimal places.)

Answers

Answer:

10,635.934 m^2

Step-by-step explanation:

The formula for area of a circle is π r² (pi ⋅ radius ⋅ radius)

According to the word problem, 58.2 is the radius.

Now that we know the radius, we have our final equation:

pi ⋅ radius ⋅ radius

(3.14 IS USED FOR PI)

3.14 ⋅ 58.2 ⋅ 58.2 = 10,635.9336

10,635.9336 rounded to the three decimal places (to the nearest thousandth): 10,635.934

Therefore, the area of this circle in square meters is 10,635.934 m^2.

yvonne is 3 years younger than her sister.the sum of thier ages is 25 years.​

Answers

Answer:

mk?

Step-by-step explanation:



Guessing you need to know how old each girl is. Yvonne is 11, her sister is 14.

s = sister
y = Yvonne
Yvonne is 3 years younger than her sister
y = s - 3
s + y = 25

So we’ll substitute the first equation into the second:

s + (s - 3) = 25 and solve for a numerical value for s
2s - 3 = 25
Add 3 to both sides:
2s = 28
s = 14

Yvonne is 3 years younger, so she is 11.

18 times 200 is how much


dont actually answer i just wanna talk

Answers

18 time 200 is 3600 that's it

Answer:

hey lily its Josh i just wanted to say im sorry for not talking to yu but i do still love and miss yu nd be careful ok and we need to catch up whenever ur free

Step-by-step explanation:

6 A train has 1 first-class carriage and 6 standard carriages. The first-class carriage has 64 seats. are being used. Each standard carriage has 78 seats. in each carriage are being used. Are more than half the seats on the train being used?

Answers

Answer:

YES

Step-by-step explanation:

(3/8)·64 = 24 seats in the first class carriage are being used.

(7/13)·(78)·3 = 126 seats in the standard carriages are being used, for a total of ...

 24 + 126 = 150 . . . occupied seats

The number of available seats is ...

 64 +3·78 = 298

so half the seats on the train will be 298/2 = 149 seats.

 150 > 149, so more than half the seats on the train are being used.

Ana is baking cookies for her family reunion. Her recipe uses 3/4 cup sugar and has a yield of 24 cookies. How many cups of sugar will Ana need if she wants to bring 10 dozen cookies? (1 dozen = 12).

Answers

9514 1404 393

Answer:

  3 3/4 cups

Step-by-step explanation:

The yield from 3/4 cup of sugar is 2 dozen cookies. Multiply that by 5 and you get: the yield from 15/4 cups of sugar is 10 dozen cookies.

As a mixed number 15/4 = 3 3/4.

Ana will need 3 3/4 cups of sugar for 10 dozen cookies.

Answer:

Solution given:

recipe use 3/4 cup of sugar for 24 or 2 dozen Cooke's

now

we have

2 dozen=3/4 cup of sugar

10dozen=3/4×10/2=15/2 cup of sugar is needed

Can someone help me with this problem please. ( I need it as fast as possible).

Answers

Answer:

D-B-A-C

Step-by-step explanation:

awnser plsssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssss

Answers

Answer:

x = 12, x = -4.

Step-by-step explanation:

x² - 8x - 48 = 0.

This factors to (x - 12)(x + 4) = 0.

Proof:

(x - 12)(x + 4) = 0

first: x * x

outer: 4 * x

inner: -12 * x

last: -48.

first: x²

outer: 4x

inner: -12x

last: -48

x² + 4x - 12x - 48

x² - 8x - 48.

To find the zeros, take the individual pairs and find the values that make the equation 0.

x - 12 = 0

Add 12 to both sides.

x = 12.

x + 4 = 0

Subtract 4 from both sides.

x = -4.

Answer:

x= 4 + 2√5, x = 4 - 2√5

Step-by-step explanation:

So this is quadratics so you can solve it by completing the square and using the quadratic formula. The quadratic formula is x = (-b±√(b²-4ac)) / (2a).

HELP IS STUDY ISLAND I NEED THIS NOW

Answers

Answer:

i think A. 6 in

Step-by-step explanation:

because the lenght is diagram 3

use the graph of the function f shown to determine f(-3)

Answers

I need help with this please graphing is too complicated. If anyone can help I would be very happ.

If the die is rolled 100 times, predict the number times it would land on an
even number. *

Answers

Answer:

50

Step-by-step explanation:

there are 6 numbers on a dice 3 even 3 odd you would have a 50 chance of getting even

What’s 22,000 - 407% of 60?

Answers

Answer:

21,755.8

Step-by-step explanation:

To solve this equation, we must first find 407% of 60.

To do this, place the percent over 100 (fraction form), then, multiply it by the number you're finding the percentage of.

407/100 x 60/1 = 24,420/100

24420 / 100 = 244.2

244.2 is 407% of 60.

Lastly, you subtract 244.2 from 22,000.

22,000 - 244.2 = 21,755.8

Answer:

21755.8

Step-by-step explanation:

407%=4.07

4.07*60=244.2

22,000-244.2=21755.8

MAX POINTS PLEASE HELp
part a. What are the values of x and y? If your answer is not a whole number, write it as a decimal and round to one decimal place if necessary.
part b:
Here is a triangular prism.


What is the volume of the prism, in cubic centimeters?

cubic centimeters

What is the surface area of the prism, in square centimeters?
cubic centimeters

Answers

Answer:

X=35 Y=73

Step-by-step explanation:

use the opposite angle theorem for x. X would equal 35.

we know that x is 35. So 2y+35=180

180-35=2y

y=72.5 or 73

srry I can’t help with question 2. I don’t know how

A large school district claims that 80% of the children are from low-income families. 150 children from the district are chosen to participate in a community project. Of the 150 only 70% are from low-income families. The children were supposed to be randomly selected. Do you think they really were

Answers

Incomplete question. However, I answered from a general research perspective.

Explanation:

Note, the term sample used in statistical research refers to subjects or persons carefully selected (using a particular sampling method/type ) to represent the target population.

A randomly selected sample could be done as either:

Simple Random Sampling Stratified Random Sampling Cluster Random Sampling.Systematic Random Sampling.

Using any of the above sampling methods could result in 70% of the population being from low-income families as this is a matter of chance. Hence, we can agree with the research results.

Using the z-distribution, it is found that since the test statistic is less than the critical value for the left-tailed test, there is enough evidence to conclude that the children were not randomly selected.

At the null hypothesis, we test if they were really randomly selected, that is, the proportion is of 80%:

[tex]H_0: p = 0.8[/tex]

At the alternative hypothesis, we test if they were not randomly selected, that is, the proportion is of less than 80%.

[tex]H_1: p < 0.8[/tex]

The test statistic is given by:

[tex]z = \frac{\overline{p} - p}{\sqrt{\frac{p(1-p)}{n}}}[/tex]

In which:

[tex]\overline{p}[/tex] is the sample proportion. p is the proportion tested at the null hypothesis. n is the sample size.

For this problem, the parameters are:

[tex]p = 0.8, n = 150, \overline{p} = 0.7[/tex]

Then, the value of the test statistic is:

[tex]z = \frac{\overline{p} - p}{\sqrt{\frac{p(1-p)}{n}}}[/tex]

[tex]z = \frac{0.7 - 0.8}{\sqrt{\frac{0.8(0.2)}{150}}}[/tex]

[tex]z = -3.06[/tex]

The critical value for a left-tailed test, as we are testing if the proportion is less than a value, with a significance level of 0.05, is of [tex]z^{\ast} = -1.645[/tex].

Since the test statistic is less than the critical value for the left-tailed test, there is enough evidence to conclude that the children were not randomly selected.

A similar problem is given at https://brainly.com/question/24166849

She mixes nuts, raisins and oats in the ratio 3:2:5 by weight. Babajan uses 60 grams of nuts. Work out the weight of raisins she uses to make the breakfast cereal

Answers

Answer:

weight of raisins : 40

Step-by-step explanation:

nuts : raisins : oats

3:2:5= 60: ? : ?

60÷3 = 20

raisins : 2×20 = 40

Arsenic concentration in public drinking water supplies is potential health risk. An investigator collected data of arsenic concentration in parts per billion (ppb) from 10 metropolitan phoenix communities and 10 rural Arizona. Under  = 5%, can the investigator conclude that the metropolitan phoenix water is different from the rural Arizona when it comes to the Arsenic concentration

Answers

Answer:

Hello your question has some missing data  below is the missing data

answer : The Investigator can conclude that the metropolitan phoenix water is different from the rural Arizona ( to = -2.77 which is < 0.05 )

Step-by-step explanation:

The hypothesis ;

H0 : μ1 = μ2

Ha : μ1 ≠ μ2

significance level ( ∝ ) = 0.05

calculate for degree of freedom ( df ) = 13.2  ( using excel function )

find the test statistic ( to ) = -2.77

attached below is the remaining part of the solution

plsss help me and fast

Answers

Answer:

234 Square Inches

Step by Step Explanation:

To find the area of a parallelogram, we must first find the height. In this case, it is 18. Then, we must find the base. In this case, it is 13. Then, we multiply base x height for our final answer of 234.

Base - 13

Height - 18

18 x 13 = 234.

Easy enough?

Christine's age is 6 more than Ken's age. Three times Ken's age plus 5 times
Christine's Age is equal to 46. How old is Christine?

Answers

Answer:

6x3+5=23

Step-by-step explanation:

How old is a tree with circumference of 62.83 cm?

Answers

Step-by-step explanation:

19.9 is the age of the tree.

divide the circumference with 3.142 .

hope this helps you☺️☺️

Find the measure of 46.
46 = [?]
24°
46

Answers

Answer:

Solution given:

<6+24=180[co- interior angle]

<6=180-24=156°

<6=156°

Same side interior angles are supplementary

<6+24=180<6=180-24<6=156°

Would greatly appreciate the help

Answers

Answer:

B

Step-by-step explanation:

1.454, 1.454444, 1.454454454, 1.4545454, 1.454545 in order but as you can see, the last two are equal

AB = 5, AP = 4, and DP = 12, then find the length of PC

Answers

Answer:

[tex]PC = 0.333[/tex]

Step-by-step explanation:

Given

[tex]AB = 5[/tex]

[tex]AP = 4[/tex]

[tex]DP =12\\[/tex]

See attachment

Required

Find PC

When two chords intersect, the product of the segments are always equal.

In chord DC, the segments are DP and PC

In chord AB, the segments are AP and PB

So:

[tex]DP * PC = AP * PB[/tex]

This gives:

[tex]12 * PC = 4 * PB[/tex] --- (1)

In chord AB, we have:

[tex]AB = AP + PB[/tex]

Make PB the subject

[tex]PB = AB - AP[/tex]

This becomes

[tex]PB = 5 - 4[/tex]

[tex]PB = 1[/tex]

[tex]12 * PC = 4 * PB[/tex] --- (1) becomes

[tex]12 * PC = 4 * 1[/tex]

[tex]12 * PC = 4[/tex]

Make PC the subject

[tex]PC = \frac{4}{12}[/tex]

[tex]PC = 0.333[/tex]

Need help quick with full work

Answers

Answer:

1st of column 1

and

3rd of column 2

1st of column 1

And


3rd of column 2

CAN SOMEONE PLS DO TBJS U HAVE TO SHOW WORK BUT ITS EASG AND DOESNT NEED TO BE PERFECTT

Answers

Answer:

area? is that what u need? or perimeter

Step-by-step explanation:

4. A photographer needs a frame for a 16 x 20 inch picture, such that the total area is 340 in Calculate the width of the frame. Which of the following quadratic equations would be used when solving this?

O4x^2 + 367 = 20
O4x^2 + 72x = 20
O2x^2 + 72 = 20
O2x^2 + 36x = 20

Answers

The quadratic equations that would be used when solving the given information is 4x² + 72x = 20 , Option B is the correct answer.

What is Area ?

Area is the space occupied by any surface ,It is measure in square units of length.

It is given that

A photographer needs a frame for a 16 x 20 inch picture

total area is 340 sq. in

width of the frame =?

Let width of the frame be x

The frame is in the shape of a Rectangle

Side of the frame =  ( 16+2x) and (20 +2x)

Area of a frame = Total Area -  Area of the picture

Total Area =  ( 16+2x) (20 +2x)

( 16+2x) (20 +2x) = 340

320 + 72x +4x² = 340

72x +4x²= 20

4x² + 72x = 20

The quadratic equations that would be used when solving the given information is 4x² + 72x = 20 , Option B is the correct answer.

To know more about Area

https://brainly.com/question/27683633

#SPJ2

(D) Work out
1/4 of 28

Answers

Answer:

1/4 ×28=7 ::*^ jghjnryh

Answer:

7

Step-by-step explanation:

[tex]\left(\frac{1}{4}\right)\cdot28[/tex]

[tex]\frac{\left(1\right)\cdot\left(28\right)}{\left(4\right)\cdot\left(1\right)}[/tex]

[tex]\frac{\left(28\right)}{\left(4\right)}[/tex]

You should divide both the numerator and the denominator by 4 and get 7 as a result of that.

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