PLEASE HELP SHOW WORK

Sadie has a cousin Nanette in Germany. Both families recently bought new cars and the two girls are comparing how fuel efficient the two cars are. Sadie tells Nanette that her family’s car is getting 42 miles per gallon. Nanette has no idea how that compares to her family’s car because in Germany mileage is measured differently. She tells Sadie that her family’s car uses 6 liters per 100 km. Which car is more fuel efficient?

(1 mile = 1.609 km and 1 gallon = 3.79 liters)

Answers

Answer 1

Answer:

Sadie's family car is more fuel efficient.

Step-by-step explanation:

Given;

Sadie's family car rating, S = 42 miles per gallon

Nanette's family car rating, N = 6 liters per 100 km

Sadie's family car rating, in liters per 100 km

[tex]= \frac{42 \ miles}{gallon} *\frac{1.609 \ km}{1 \ mile}*\frac{1 \ gallon}{3.79 \ liters} \\\\ = (\frac{42*1.609}{3.79} )\frac{km}{liter}\\\\ = (\frac{3.79}{42*1.609} )\frac{liter}{km}\\\\=(\frac{3.79}{42*1.609} )(\frac{100}{100}) \frac{liter}{km}\\\\= (\frac{3.79*100}{42*1.609} )(\frac{1}{100}) \frac{liter}{km}\\\\= (\frac{3.79*100}{42*1.609} ) \frac{liter}{100\ km}\\\\= 5.61 (\frac{liter}{100\ km})\\\\= \frac{5.61 \ liters}{100 \ km}[/tex]

Also, Nanette's family car rating, in liters per 100 km = 6 liters / 100km.

Thus, Sadie's family car uses lesser fuel, because of this Sadie's family car is more fuel efficient.


Related Questions

How do you solve this7x+2y=180

Answers

Answer:

Step-by-step explanation:

Simplifying

7x + 2y = 180

Solving

7x + 2y = 180

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-2y' to each side of the equation.

7x + 2y + -2y = 180 + -2y

Combine like terms: 2y + -2y = 0

7x + 0 = 180 + -2y

7x = 180 + -2y

Divide each side by '7'.

x = 25.71428571 + -0.2857142857y

Simplifying

x = 25.71428571 + -0.2857142857y

4. Multiply
(5 points)
8
-10
35
8
10
35
-13
13
35
13
13
35

Answers

Answer:

Do u really need help in solving this question.? Use a calculator!

sovle 4 pls and thank you

Answers

Answer:

3x^5y

Step-by-step explanation:

help me pls 5(x + 3) < 60​

Answers

5x + 15 = 60
answer. x=9
X < 9
Multiply 5 by x and 3

5x+ 15 < 60

Then subtract 15 from both sides

5x + 15 < 60
- 15 -15

5x < 45

Lastly, divide 5 from both sides to find X


5x < 45
—- —-

5 5


X < 9

Beth and Sarah are selling candy for a school fundraiser. Customers can buy small boxes of candy and large boxes of candy. Beth sold 9 small boxes of candy and 10 large boxes of candy for a total of $297. Sarah sold 8 small boxes of candy and 5 large boxes of candy for a total of $194.

What is the cost of one small box of candy, and what is the cost of one large box of candy?

Hint: Solve a system of two equations using the elimination method.

Answers

Answer:

Cost of small box = $13

Cost of large box = $18

Step-by-step explanation:

Let the cost of small box of candy = $s

And the cost of large candy box = $b

Beth sold 9 small and 10 large boxes of candies for $297.

9s + 10b = 297 -----(1)

Sarah sold 8 small and 5 large boxes of candies for $194.

8s + 5b = 194 -------(2)

Multiply equation (2) by 2 then subtract equation (1) from (2).

2(8s + 5b) - (9s + 10b) = (2×194) - 297

16s + 10b - 9s - 10b = 388 - 297

7s = 91 ⇒ s = $13

From equation (2),

(8×13) + 5b = 194

104 + 5b = 194

5b = 90

b = $18

Question 4 of 9
(7 + 1) + 8 = 7+ (1 + 8)
A. True
B. False

Answers

Answer:

A true

Step-by-step explanation:

Find the area of a circle with radius, r = 52cm squared




Give your answer rounded to 3 SF.​

Answers

Answer: 849

Step-by-step explanation:

πr^2

π x 52^2 = 8494.866535

3 SF = 849

I need help writing a function rule for this set of values. Thanks!

Answers

Answer:

2-1/-2--4= 1/2

0-1/0-2=-1/-2

2-0/-1-0=2/-1

-2--1/4-2=-1/2

can i have a Brainliest plz thank you

WILL GIVE BRAINLIEST!!!!!!!!
Use 2 to 3 sentences to name the two pairs of alternate interior angles and explain the difference between alternate interior and alternate exterior angles.

Answers

Answer:

Step-by-step explanation:

From the picture attached,

Lines 'p' and 'q' are the parallel lines and line 't' is a transversal intersecting these lines.

Two pairs of angles (∠2 and ∠7) and (∠4 and ∠5) are the alternate interior angles.

Similarly, two pairs of (∠1 and ∠8) and (∠3 and ∠6) are the alternate exterior angles.

Alternate interior angles are the interior angles between the parallel lines and the transversal line while alternate exterior angles are vertically opposite angles to these interior angles.

Carrie has a planter box with an area of StartFraction 4 Over 5 EndFraction of a square meter. She wants to plant 10 snap pea seeds, each with an equal amount of room to grow. What area will she give to each snap pea plant?

Answers

Answer:

2/25

Step-by-step explanation:

Answer:

2/25

Step-by-step explanation:

plzzz mark me brainliest :}

Can someone please help ?!?!?

Answers

Answer: [tex]\frac{15}{64}[/tex] or A

Step-by-step explanation:

The answer to your questions is A

A mountain peak is 12,200 feet above sea level. The valley below is 218 feet below. How far is it from the peak to the valley.

Answers

Answer:

12,418 feet

Step-by-step explanation:

41.600 + 79.436 79.852 120.442 120.960 121.036

Answers

Answer:

563.326

Step-by-step explanation:

Amy has 2/3 pound of jellybeans.if she fills 4 jars with an equal amount of jellybeans, how many pounds are in each jar?

I would love it if someone who is expert verified to answer this please

Answers

Answer:

0.667 ÷ 4 = 0.16675

So there are 0.16675 pounds in every jar

microphone
Explain how to form a linear combination to eliminate the variable y for this system,
2x - 3y 3
5x + 2y = 17.
A)
Multiply the first equation by 2 and the second equation by 3.
B)
Multiply the first equation by -5 and the second equation by -2.
Multiply the first equation by-2 and the second equation by 3.
D)
Multiply the first equation by 2 and the second equation by -3.

Answers

I believe the answers b

Answer:

Correct answer is A. Multiply the first equation by 2 and the second equation by 3.

Step-by-step explanation:

ANSWER AS MANY AS YOU CAN PLEASE TRY TO ANSWER ALL


1: Estimate the quotient using compatible numbers : 156 divided by 8

2: Estimate the product using compatible numbers : 48 times 32

3: Find the solution of the equation : b – 12 = –8

Answers

Answer:

Step-by-step explanation:

For the first one you can round 156 to 160 because 16 divided by 8 is 2 so 160 divided by 8 is 20. For the second one you can round 48 to 50 and 32 to 30 because 50 times 30 is 1,500. For the last one, add the 12 to the -8 which is 4. b=4.

I need help!

Answers Choices:
6
-6
1/6
-1/6

Answers

x1 = 1
x2 = 2
y1 = 6
y2 = 12


(y2 - y1) / (x2 - x1)

(12 - 6) / (2 - 1)

6 / 1

So the answer is 6
6
6•1=6
6•2=12
6•4=18
6•4=24

True or false. Explain or show your reasoning. if false, sketch a counterexample.
a. every isosceles is an equilateral triangle.
b. Every equilateral triangle has angle measures of 60 degrees.
c. Every square is a rectangle.
d. Every trapezoid is a parallelogram
e. Every triangle is convex.

Answers

a. False. Not every isosceles triangle is an equilateral triangle b. True. Every equilateral triangle has angle measures of 60 degrees. c. True. Every square is a rectangle. d. False. Not every trapezoid is a parallelogram. e. True. Every triangle is convex.

a. False. An isosceles triangle is a triangle with at least two sides of equal length, but it does not necessarily have all three sides equal. An equilateral triangle, on the other hand, is a specific type of isosceles triangle where all three sides are equal. Therefore, not every isosceles triangle is an equilateral triangle.

b. True. An equilateral triangle is a triangle with all three sides and angles equal. Since the sum of angles in a triangle is always 180 degrees, each angle in an equilateral triangle is 60 degrees. Therefore, every equilateral triangle has angle measures of 60 degrees.

c. True. A square is a special type of rectangle where all four sides are equal in length and all four angles are right angles. Since a rectangle is defined as a quadrilateral with all angles equal to 90 degrees, every square, by definition, is a rectangle.

d. False. A trapezoid is a quadrilateral with at least one pair of parallel sides. A parallelogram, on the other hand, is a quadrilateral with both pairs of opposite sides parallel. While every parallelogram is a trapezoid, not every trapezoid is a parallelogram. A counterexample would be a trapezoid with only one pair of parallel sides.

e. True. Convexity in a triangle refers to the property that all interior angles are less than 180 degrees. In other words, the triangle does not fold in on itself. By definition, every triangle is convex.

Learn more about isosceles triangle here:

https://brainly.com/question/29774496

#SPJ11

True or false. Explain or show your reasoning.

a. every isosceles is an equilateral triangle.

b. Every equilateral triangle has angle measures of 60 degrees.

c. Every square is a rectangle.

d. Every trapezoid is a parallelogram

e. Every triangle is convex.

is 5x=25 equivalent to x+10=20

Answers

Answer:

No.

Step-by-step explanation:

Solve for the first equation.

5x=25  Divide both sides by 5.

/5   /5

x=5

Solve for the second equation.

x+10=20  Subtract 10 from both sides.

  -10 -10

x=10

5 does not equal 10, so the equations are not equivalent.

Hope this helps!! Have a nice day c:

If a study was conducted of 173 species of mammals worldwide. 37 could be found in Africa and 17 species could be found in Asia and 15 could be found in both continents. What is the probability of randomly selecting a species of mammals that is neither found in Africa not Asia? Write your answer as a fraction.

Answers

Answer:

104/173

Step-by-step explanation:

173 total

Africa= 37

Asia=17

15 in BOTH

173-69=104

104 mammals are NOT found in either

104/173

Answer:

Probability = Favorable outcomes / Total outcomes

=> (Total - (Africa + Asia + Both)) / Total

=> (173 - (37 + 17 + 15)) / 173

=> (173 - 69) / 173

=> 104 / 173

Therefore, the probability = 104 / 173

If my answer helped, please mark me as the brainliest!!

Thank You!!

5 consecutive odd integers add up to -185

Answers

Answer:

ill help

Step-by-step explanation:

First odd integer is 2n+1

2nd odd integer is 2n+3

3rd odd integer is 2n+5

4th odd integer is 2n+7

5th odd integer is 2n+9

PLEASE tell me how to solve this, or give answers lol either one works, this is a missing assignment and i want to finish it asap.

Answers

Answer: Every box has the number 7 inside

The equation y = 7 at the top means that y is 7 no matter what x is

There are no x variables in the given equation, so x does not affect the value of y.

The equation y = 7 is the same as y = 0x+7. Note how plugging in any x value leads to the 0x term being 0, and adding 0 to anything doesn't change that value.

The graph of y = 7 or y = 0x+7 is a flat horizontal line through 7 on the y axis. Two points on this line are (0,7) and (1,7). Every point on this line has a y coordinate of 7.

Darrius is on a shopping spree at GameStop. He spent $59.99 per game and got $10 insurance for
each game. Additionally, he spent $10.95 for an online membership and $399 on the PlayStation 5.
If his total came to be $619.92. how many video games did Darrius buy? Create an equation and solve for g. I need help quickly!!!!!
I need help ASAP

Answers

Answer:

3

Step-by-step explanation:

Add Playstion and the membership

399+10.95=409.95

cost of membership and playstation subtracted from the total

619.92-409.95=209.97

add cost of game and insurance

59.99+10=69.99

Divide the total after the membership and the playstation is subtracted from the total

209.97/69.99=3

Darrius bough three games

Help me solve this problem please

Answers

Answer: 72 because when you fill in the a and b it gives you 72

The answer is 72!
Hope this help ;)

Easy problem lots of points explain how to do it please

Answers

Answer:

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

Step-by-step explanation:

Multiply both sides by 2

2x=3y+6

Move variable to the left-hand side and change its sing

-3y=6-2x

Divide both sides of the equation by -3

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

Kdhdkdbdjdiedbdbjxkxbdjdhx sjsosnddd

Write in slope-intercept form.
6x - 2y = 6

Answers

y=3x-3 is the answer in slope intercept form

Answer: y=3x-3

Step-by-step explanation:

Alright, so....

6x-2y=6 needs to be in slope-intercept form.

We know that y=mx+b is slope intercept form equation.

Let’s start by doing -6x and bring it to the other side.

Now we have:

-2y=-6x+6

Divide everything by -2, so it becomes:

y=3x-3

Which of the following represents the solution to the inequality shown below?

9 ≤ 2(3a − 3) ≤ 24

Answers

Answer:

Step-by-step explanation:

9≤2(3a−3)≤24

9≤6a−6≤24(Simplify all parts of the inequality)

9+6≤6a−6+6≤24+6(Add 6 to all parts)

15≤6a≤30  (Divide all parts by 6)

6    6      6

Answer:

5 ≤a≤5

2

(the computer won't do fractions so when you see this 5 it means fraction/division                                                                  9)

What is the result of 4 divided by 8/12

Answers

Answer:

6

Step-by-step explanation:

When dividing fractions, you want to multiply the reciprocal of the fraction (flip the fraction so the numerator is the denominator and the denominator is the numerator).

[tex]4*\frac{12}{8}[/tex]

If you don't know how to multiply fractions as well, I will show you now.

Since 4 is just 4/1, I will convert just so you can visually see how I multiply.

[tex]\frac{4}{1} * \frac{12}{8}[/tex]

When multiplying fractions, you multiply the numerators and the denominators.

So it would be 4 * 12 & 1 * 8

[tex]\frac{4}{1} * \frac{12}{8} = \frac{48}{8}[/tex]

Your fraction is 48/8. But it can be simplified, let's divide 48/8. That equals 6!

The required answer is 6 when 4 divided by 8/12 is equal to 6.

The division operation is given as follows:

4 ÷ (8/12)

To divide by a fraction, you can multiply by its reciprocal.

In this case, you want to divide 4 by 8/12. To do this, you can multiply 4 by the reciprocal of 8/12, which is 12/8.

So, the division can be rewritten as:

4 x (12/8)

Now, simplify the expression by multiplying:

(4 x 12) / 8

48 / 8

⇒ 4 ÷ (8/12) = 6

The final result is 6.

Therefore, 4 divided by 8/12 is equal to 6.

To learn more about the division operation click here :

brainly.com/question/25870256

#SPJ6

Graph y = 5x – 12 and y - 5x = 19. Are the lines parallel, perpendicular, or neither?
What is this HELP

Answers

Answer: Parallel

Step-by-step explanation:

Answer:

The line(s) are parallel

Identify the domain for the graph

Answers

Answer:

sorry, where is the graph

you must add it then i will answer

Step-by-step explanation:

Other Questions
With regard to accounts payable: a) Explain the significance of financing with accounts payable. b) Explain (including computations) the rationale of taking a cash discount, such as 4/8, n/30. att c) Additionally, determine the approximate balance of accounts payable, if a company stretches its payables to 50 days and on average, they make purchases of $1,000,000 per day from their vendors. d) Explain what the stretching accomplishes if the vendors should be paid in 30 days. What does the model above represent as a decimal? a0.006 b0.06 c0.600 d0.6 help please 10 points Voice pitch is an inherited trait. Which family group is most likely to occur? Two high-pitched voiced parents have a child with a low-pitched voice. Two medium-pitched voiced parents have a child with a high-pitched voice. A low-pitched parent and a high-pitched parent have a child with a medium-pitched voice. A high-pitched parent and a low-pitched parent have a child with a high-pitched voice. think about any special skills or passions you have and describe a way you might apply them to earn money. what is ocean acidification Which of the following is NOT true about the supply and demand of labourA. Labour supply is forecasted through techniques such as trend analysis, nominal group technique, regression, etc.B. An external strategy to dealing with a labour shortage is to recruit new employeesC. A surplus of workers can be managed by hiring freezes, attrition, reducing the workweek, layoffsD. They must be in equilibrium or else there is a shortage or surplus of workersE. A gap analysis is used to compare the forecasted supply and forecasted demand to determine equilibrium, shortage, or surplus 1. Jamie and Jeremy are my next door neighbors. 2. They are brother and sister. 3. Everyday, myself walks to school with them.What problem needs to be fixed in Dortheas narrative?Dorthea should identify herself as a character in her narrative.The pronoun they should be replaced with the pronoun we.In sentence 3, Dorthea should identify herself with a different pronoun.The word Everyday should be removed from the beginning of sentence 3. Find the effective annual interest rate on a $220,000 short-term loan, with a term of 260 days and a nominal interest rate of 7%. The bank discounts the interest. Interest is discounted by the bank loan amount $220.00terms (days) 260APR 7%Find the effective annual interest 1. Interest paid on the loan 2. Periodic interest rate 3. Calculate APY What is a personal quality checklist (PQC)? What are thespecific steps associated with this approach? 1. True of false. If false, explain in a few sentences.(1) When a country experiences net capital inflow, its capital account will be in deficit and current account in surplus.(2) According to the Interest Parity Condition, if the interest rate is 2% in the U.S. and 5% in the U.K., investors are expecting a capital loss from holding the dollar.(3) Margin accounts are required for trading in forward, futures and options contracts. Company A has 50% of its total variable manufacturing cost in labor and the other 50% in fuel. Company B has 10% of its total variable manufacturing cost in labor and the remainder in fuel. Suppose in a given year, labor costs rise 6% and fuel costs rise 10%.1) Using the information above, calculate the percentage increase in total variable cost for each company.Percentage Increase in total variable costs:Company A: ??Company B:??2) Which company has higher percentage increase in total variable cost? Which of the following statements about a single payment loan is correct? Select one: a. It typically is due in 2-10 years. b. It typically has a variable interest rate tied to an index. c. Its payment amount is known when the loan is approved. d. It cannot be repaid before the due date. 2. Early in the story, what flaw in the front of the house does the narrator observe?In the fall of the house of usher Which of the following actions will always increase voltage?A: Decreasing resistance and increasing current B: Decreasing resistance and keeping current constant C: Increasing resistance and keeping current constant D: Increasing resistance and decreasing current someone please help me What is a subcontractor?O A. A person who owns part of the company and makes executivedecisions.B. A person who works solely with one company on a constant basis.O C. A person who does work for another company or person as a partof a larger job.OD. A person who manages a company and hires all employees.SUBMIT Bailey, Inc., is considering buying a new gang punch that would allow them to produce circuit boards more efficiently. The punch has a first cost of $150,000 and a useful life of 15 years. At the end of its useful life, the punch has no salvage value. Labor costs would increase $1,000 per year using the gang punch, but raw material costs would decrease $14,500 per year. MARR is 5%/year.What is the internal rate of return of this investment? I need the equation for this ASAP!A scientist needs 10 liters of a 20% acid solution for an experiment, but she has only a 5% solution and a 40% solution. To the nearest tenth of a liter, about how many liters of the 5% and the 40% solutions should she mix to get the solution she needs? Prepare a report on :Explain the concept of Green Business.Discuss it challenges and practices in Canada.Also assume if you ant to open a Business what kind of greenproduct you will deal in?