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

If x= 10 which lines are parallel? Check all that apply. (8x - 25) b (12x - 5) (7x - 5) (10x + 15) a​

Answers

Answer:

150 A

Step-by-step explanation:

THIS THE ANSWER

I HOPE IT HELPS

Mr. Cooper purchased a night stand
at the furniture store. It came in a
rectangular-prism-shaped box. The
volume of the box is 31,050 cubic
inches. The box is 36 inches deep and
284 inches wide. What is the height of
the box?

Answers

Answer:

V = lwh

31050 = 36(28)w

31050 = 1008w

w = 31"

Step-by-step explanation:

This is ez lol

Find the value of x in the given
right triangle.
10
Х
37°
x = [?]
Enter your answer as a decimal rounded to the
nearest tenth.
Enter

Answers

Answer: is 6

Step-by-step explanation:

I havent tried the 6.0 but putting in 6 was correct

Help with this equation please

Answers

Answer:

[tex]y=-\frac{2}{3}x+6[/tex]

Step-by-step explanation:

Let the equation of the line representing the given table is,

y = mx + b

Here, m = slope of the line

b = y-intercept

From the given table,

Since, slope of the line passing through [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] is given by,

m = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

Therefore, slope of the line passing through (3, 4) and (4, [tex]\frac{10}{3}[/tex]) will be,

m = [tex]\frac{4-\frac{10}{3} }{3-4}[/tex]

   = [tex]\frac{\frac{12-10}{3}}{3-4}[/tex]

   = [tex]-\frac{2}{3}[/tex]

Therefore, equation of the line will be,

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

Since, this line passes through a point [tex](1, \frac{16}{3})[/tex],

By satisfying the equation with the given point,

[tex]\frac{16}{3}=-\frac{2}{3}(1)+b[/tex]

[tex]b=\frac{16}{3}+\frac{2}{3}[/tex]

[tex]b=\frac{18}{3}[/tex]

[tex]b=6[/tex]

Therefore, equation of the line will be,

[tex]y=-\frac{2}{3}x+6[/tex]

What is the y-intercept?

f(x)= 5^x-8

PLZZZZZ HELP​

Answers

Answer:

(0,-7) is the y-intercept

Step-by-step explanation:


what 21•92+10.
100 points if you answer

Answers

Answer:

1942

Step-by-step explanation:

Since their is multiplication and addition you need to remember the order of operations. Also remember that the dot · is another multiplication symbol.

[tex]21*92=1932[/tex]

Now add 10

[tex]1932+10=1942[/tex]

1942 is the final answer

Celik, S. (2011). A media comparison study on first aid instruction. Health Education Journal. 72(1), 95-101
Researchers investigated student achievement in online and in-person delivery of first aid instruction. The content was the same in both courses and both courses were taught by the same instructor. A pre and post test was conducted to measure achievement.
Which of the following tests would be used to measure the achievement of the students before and after the class ?
a. Two-sample t-test for dependent samples
b. Two-sample t-test for independent samples
c. One-sample t-test
d. One-sample z-test

Answers

Answer:

The answer is "Option a".

Step-by-step explanation:

In the given scenario, The appropriate test for the teaching profession's accomplishment pre and post-class would be the two-sample t-test with dependent samples, that's why choice "a" is correct.

Mingfa says, "My sister and I have $130 altogether. If my mother gives me another
$10, I'll have 3 times as much money as my sister."
How much money does Mingfa actually have?​

Answers

Given:

Total amount of Mingfa and her sister = $130

If Mingfa amount increased by $10, then the new amount is equal to three times of as much money as her sister.

To find:

How much money does Mingfa actually have?​

Solution:

Let, Mingfa have $x and her sister has $y initially. Then,

[tex]x+y=130[/tex]                ...(i)

If Mingfa amount increased by $10, then the new amount is equal to three times of as much money as her sister.

[tex]x+10=3y[/tex]              ...(ii)

Substitute the value of x from (ii) in (i).

[tex](3y-10)+y=130[/tex]

[tex]4y=130+10[/tex]

[tex]4y=140[/tex]

Divide both sides by 4.

[tex]y=35[/tex]

Putting [tex]y=35[/tex] in (i), we get

[tex]x+35=130[/tex]

[tex]x=130-35[/tex]

[tex]x=95[/tex]

Therefore, Mingfa have $95.

Which equation could be represented by the number line?

A.4+(-7)=-3
B. -5+7=2
C. -3+(-4)=-7
D. 7+(-6)=1

OMG HELPPPP

Answers

The answer is a
Hope this helps

PLZZZZZZ IL do anything give brainilest 5 star i'll like My grade depends on this PLEASE I NEED THIS TO BE CORRECT AND SHOW YOUR WORK PLZ NO TROLLSSSS PLZZZZ ANSWER CORRECT

Answers

Answer:

$195.00

Step-by-step explanation:

perimeter is 54 feet

area is 152  [tex]ft^{2}[/tex]

54' * $1.50 = $81.00

152/8 = 19 bags of mulch needed

19*$6.00= $114.00

$195.00    you get away from the store for under 200 :P

P.S. since you said you'll do anything,  send me $1,000,000.00 dollars :D

Which one is the missing number? Help please

Answers

The answer is 2.
it’s adding 2 everytime!

A bag contains 56 marbles: 7 red, 8 green, 11 yellow, 17 brown, and 13 blue.
If a marble is chosen at random, what is the probability that the marble is green?

A.1/5
B.1/6
C.1/7
D.1/8

Answers

Answer: D 1/8

Step-by-step explanation: hope this help

Answer:

1/5

Step-by-step explanation:

You count how many colors there are and make how many color as your denominator [5 colors(Red, Green, Blue, Yellow, and Brown)] and find out what color was picked as your numerator [Green(1 color)].

6 cans of coffee cost $12 how much would 15 cans of coffee cost

Answers

15 cans of coffee will cost $30
its a 1:2 ratio so it would be 30$

Help ASAP no links please

Answers

Answer:

[tex]x = 11/4[/tex]

Step-by-step explanation:

Given

[tex]1 + \sqrt{4x + 5} = 5[/tex]

Required

The solution

[tex]1 + \sqrt{4x + 5} = 5[/tex]

Collect like terms

[tex]\sqrt{4x + 5} = 5 - 1[/tex]

[tex]\sqrt{4x + 5} = 4[/tex]

Square both sides

[tex]4x + 5 = 16[/tex]

Collect like terms

[tex]4x = 11[/tex]

Divide both sides by 4

[tex]x = 11/4[/tex]

Pls help meeeeeeeeee

Answers

Answer:

3692.64 inches cubed.

Step-by-step explanation:

round this answer to the nearest tenth and that is your answer!

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

equivalent fraction for 3 1/2​

Answers

3 2/4 hope this is right and hope this helps :)

Some fractions equivalent to 3 1/2 are;

7/2

3 2/4

3 4/8

14/4

and many more...

f(x)= x+3
h(x)= x^2+4

Find (f•h)(x)

Answers

Answer:

x³+3x²+4x+12

Step-by-step explanation:

you are going to write both equations and distribute. if there are like terms, combine them and then put it order.

(x + 3) × (x² + 4)

x³ + 4x + 3x² + 12

when putting in order, you want the highest power to the left and then the lowest power to the right.

so

x³+3x²+4x+12

help!!

a teacher asks five students to write an equation with a solution of x= 4 . the students and their equations are shown below. which of the following students correctly wrote an equation with x= 4 as the solution ? select three that apply

Answers

Answer:

[tex](b)\ 2x - 9 = -1[/tex]

[tex](c)\ -2x + 12 = 4[/tex]

[tex](e)\ 2(x - 10) = -12[/tex]

Step-by-step explanation:

Required

Which equals [tex]x = 4[/tex]

[tex](a)\ 2x + 6 = 2[/tex]

Collect like terms

[tex]2x = 2 - 6[/tex]

[tex]2x = -4[/tex]

Divide both sides by 2

[tex]x = -2[/tex]

[tex](b)\ 2x - 9 = -1[/tex]

Collect like terms

[tex]2x = -1 + 9[/tex]

[tex]2x = 8[/tex]

Divide both sides by 2

[tex]x = 4[/tex]

[tex](c)\ -2x + 12 = 4[/tex]

Collect like terms

[tex]-2x =- 12 + 4[/tex]

[tex]-2x =-8[/tex]

Divide both sides by -2

[tex]x = 4[/tex]

[tex](d)\ 2(x + 2) = 10[/tex]

Divide both sides by 2

[tex]x + 2 =5[/tex]

Collect like terms

[tex]x = 5-2[/tex]

[tex]x = 3[/tex]

[tex](e)\ 2(x - 10) = -12[/tex]

Divide both sides by 2

[tex]x - 10 = -6[/tex]

Collect like terms

[tex]x = 10 - 6[/tex]

[tex]x = 4[/tex]

Hence, the equations with the required solution are:

[tex](b)\ 2x - 9 = -1[/tex]

[tex](c)\ -2x + 12 = 4[/tex]

[tex](e)\ 2(x - 10) = -12[/tex]

20 points Please help me match the equation with the method ty

Answers

Answer:

a. Substitution method.

b. Elimination method.

c. Graph method.

Step-by-step explanation:

Given the following algebraic expressions;

a. y = 3x + 10 ....... equation 1

2x - 4y = -6 ...... equation 2

The above would be solved using substitution method.

Substituting eqn 1 into eqn 2, we have;

2x - 4(3x + 10) = -6

2x - 12x - 40 = -6

-10x = -6 + 40

-10x = 34

x = 34/10

x = 3.4

y = 3x + 10 = 3*3.4 + 10

y = 10.2 + 10 = 20.2

b. 9x + 2y = 29 ...... equation 1

3x - 2y = -17 ...... equation 2

The above would be solved using elimination method.

Adding eqn 1 to eqn 2, we have;

(9x + 3x) + (2y + (-2y)) = (29 + (-17))

12x + 0 = 12

12x = 12

x = 12/12 = 1

To find y, from eqn 1;

9(1) + 2y = 29

2y = 29 - 9

2y = 20

y = 20/2 = 10

c. y = 3/2x - 5

y = 2x + 8

The above would be solved using a graph method.

You choose a range for the value of y and x. These values are then plotted against each other and the slope of the graph is determined.

LOCKER NUMBERS What is the probability that a 6-digit locker combination with the digits 3, 5, 7, 3, 5, and 2 is the number 53-27-35?

A.1/90
B.1/180
C.1/720
D.1/360

Answers

Answer B
I think because it’s 6 Digit accommodation

The probability that a 6-digit locker combination, will be 1/180. Then the correct option is B.

What is probability?

Its basic premise is that something will almost certainly happen. The percentage of favorable events to the total number of occurrences.

The factor of n is given as the production of the number n, (n – 1), (n – 2)… and 1.

Then the factorial of n is given as

n! = n x (n – 1) x (n – 2) x … 3 x 2 x 1

A 6-digit locker that contains the digit will be 3, 5, 7, 3, 5, and 2.

Then the total number of combination without repetition will be given as,

Total events = 6! / (2! x 2!)

Total events = 6 x 5 x 4 x 3 x 2 x 1 / (2 x 1 x 2 x 1)

Total events = 6 x 5 x 3 x 2 x 1

Total events = 180

Then the favorable event will be

Favorable events = 1 {53-27-35]

Then the probability will be

P = (Favorable event) / (Total events)

P = 1/180

Then the correct option is B.

More about the probability link is given below.

https://brainly.com/question/795909

#SPJ2

Select the graph for the solution of the open sentence. Click until the correct graph appears.

|x| < 1

Answers

The right answer is the second graph aka the one on the right

Answer:

|x| < 1x < 1 and x > - 1

The solution is:

- 1 < x < 1

The correct graph is the third one

(thicker segment between points -1 and 1 with open dots)

Question 1 and 2 have the same question help please!!

Answers

Answer:

1st Circle

Radius = 9

Diameter = 18

Circumference = 2 × [tex]\pi[/tex] × r = 2 × 3.14 × 9 = 56.52

2nd Circle

Radius = 14

Diameter = 28

Circumference = 2 × [tex]\pi[/tex] × r = 2 × 3.14 × 14 = 87.92

:D

If 2x - 3(x+4)=-5, then x=​

Answers

Answer:

=−7

Step-by-step explanation:

what is not equal to this question​

Answers

Answer:

Answer: 3/2.

Step-by-step explanation:

Any nonsense answer is fine right? Since there are no answer choices.. Your welcome.

Calculate the area of the parallelogram.

Answers

Considering the provided information in the given question, we have :

Base of the parallelogram = 5.5 cmHeight of the parallelogram = 2.5 cm

We have to find the area of the parallelogram.

As we know that,

⇒ Area of parallelogram = Base × Height

Substituting the values,

⇒ Area of parallelogram = 5.5 cm × 2.5 cm

⇒ Area of parallelogram = 13.75 cm²

Therefore, area of the parallelogram is [tex] \bf 13.75 \: cm^2 [/tex]


Find the volume. Round to the nearest tenth if necessary.

Answers

Answer:

1,440

Step-by-step explanation:

When you find the volume, you have to multiply all the numbers.

So in this case:

10*12*12 = 1,440

Do as the question asks. I promise I will award a brainliest answer :)

Answers

1st picture is a PENTAGON

2nd picture is a OCTAGON

3rd picture is a HEPTAGON

Answer:

Step-by-step explanation:

hope this helps! :)

Jelpppsldkdhjdisjsjxjxjzjdjz

Answers

Answer:

28716.35 mm³

Step-by-step explanation:

The formula of volume of sphere

[tex] = \frac{4}{3} \pi {r}^{3}[/tex]

The volume of the sphere

[tex] = \frac{4}{3} \times 3.14 \times {(38 \div 2)}^{3} [/tex]

[tex] = \frac{4}{3} \times 3.14 \times {19}^{3} [/tex]

[tex] = \frac{86149.04}{3} [/tex]

[tex] = 28716.34667...[/tex]

= 28716.35 mm³ (rounded to the nearest hundredth)

Jose wants to fence in his garden. The shape is a rectangle. Two sides are each 12 feet long. The other two sides are each 108 inches long. He buys 40 feet of fence.

Part A

What are steps he must take to see if he bought enough fence? Select all that apply.

A.
Convert both side lengths to the same unit.

B.
Find the area of the garden.

C.
Add 12 feet and 108 inches to find the perimeter of the garden.

D.
Compare the number of feet of fence he bought with the number of feet of fence he needs.

Part B

Did he buy enough fence?

A.
no

B.
yes

Answers

The answer is To your question is C

The steps to take to make sure he bought enough fence are

Covert both sides to the same units.Compare the number of feet of fence he bought with the number of feet of fence he needs

The perimeter of the rectangular fence is 42 feets.

Properties of a rectangle.Opposite sides are equal.Opposite sides are parallel.The angles are right angle.

Therefore, two sides of the garden are 12 feet each long. The other two sides are 108 inches long.

The steps to take to make sure he bought enough fence is as follows:

Covert both sides to the same units.Compare the number of feet of fence he bought with the number of feet of fence he needs.

Therefore,

108 inches = 9 ft

Therefore,

12 + 12 + 9 + 9 = 42 feet's.

He bought 40 feet fence. Therefore, he needs 42 feet's of fence which means the fencing will not be enough.

learn more on rectangle here: https://brainly.com/question/10612797

#SPJ2

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