96 miles on 4 gallons and 380 miles on 15 gallons

Answers

Answer 1

Answer:

1/6

Step-by-step explanation:


Answer 2

The student's question pertains to calculating fuel economy, which is found by dividing the distance traveled by the amount of fuel used. We find that the first vehicle gets 24 mpg and the second one gets 25.33 mpg. This calculation is useful for comparing vehicle efficiency and managing fuel costs.

The question involves calculating fuel economy, which is a mathematical concept generally taught in high school Algebra or Applied Math classes. Fuel economy is calculated by dividing the distance traveled by the amount of fuel used. For example, for the first vehicle that traveled 96 miles on 4 gallons, the fuel economy is calculated as follows:

Divide the total miles by the gallons used: 96 miles / 4 gallons = 24 miles per gallon (mpg).

Similarly, for the second vehicle that traveled 380 miles on 15 gallons, we calculate fuel economy like this:

Divide the total miles by the gallons used: 380 miles / 15 gallons = 25.33 mpg.

This practice of tracking fuel economy is useful for comparing the efficiency of different vehicles, as shown in the examples of the Toyota Prius and Ford Fusion hybrid. Additionally, knowing your vehicle's fuel economy and the average fuel cost can help you budget for fuel purchases more effectively


Related Questions

A farmer has 113 sheep. 47 of them are males. How many more female sheep are there than make sheep?

Answers

113-47 = 66 female sheep

66-47 = 19

19 more female sheep than male sheep

The total number of sheep the farmer has is 113 sheep. Since 47 of them are males and you are solving for the number of female sheep, you can subtract 47 sheep from 113 sheep.

113 - 47 = 66

We have figured out that there are 113 total sheep, 47 male sheep, and 66 female sheep. The question is asking for how many more female sheep are there than male sheep, so subtract the number of male sheep from the number of female sheep.

female sheep - male sheep = answer

66 - 47 = 19

There are 19 more female sheep than there are male sheep.

PLEASE PLEASE HELP ME OUT! But i ask that you explain how you got your answer and not just give the answer.

Answers

ok so first we would do the function d(x) = 3(8)+2

which when solved turns out to be 26

we would then do the function h(x) = 2(26) +7

which when solved turns out to be 59

so he would need 59 dollars for the donuts

Elisa made 0.44 of the free throws she attempted . What is that amount written as a fraction in simplest form

Answers

44/100=11/25 is the simplest form

If their food and bevareges cost 25.30 and their is an 8% meals tax how much is the bill

Answers

25.30 × 0.08 = 2.02 total tax

25.30 + 2.02 = 27.32

Total bill $27.32

Which exponential function is represented by the graph?

A) f(x) = 2(3^x)
B) f(x) = 3(3^x)
C) f(x) = 3(2^x)
D) f(x) = 2(2^x)

Answers

Answer:

C - 3(2^x).

.

In a parallel circuit, ET = 208 V, R = 39 kΩ, and XL = 24 kΩ. What is the power factor?

Answers

Answer:

Power factor is 0.8517 or 85.17%

Step-by-step explanation:

We are given that in a parallel circuit, [tex]E_{T}=208V[/tex], R=39kΩ and [tex]X_{L}[/tex]=24kΩ.

That means the circuit has a resistor element, inductor element in parallel with 208V applied across the terminal.

Let us find the current through resistor,

[tex]I_{R} =\frac{E_{T}} {R}= \frac{208}{39} =\frac{16}{3}=5.33[/tex] milli amps

And current through inductor,[tex]I_{L} =\frac{E_{T}} {X_{L}} =\frac{208}{24}=\frac{26}{3}=8.667[/tex] milli amps.

Hence total current, [tex]I_{T}= \sqrt{(I_{R})^2+(I_{T})^{2}} =\sqrt{5.33^{2}+8.667^{2}}=10.176[/tex]

Now power factor=[tex]\frac{I_{R}}{I_{T}}=\frac{5.33}{10.176}=0.8517[/tex]

Hence power factor is 85.17% or 0.8517

Solve the equation for y.
1) It is 35°C at your school and 90°F at home. Where is the temperature higher?

Answers

Answer:

It's hotter at school.

Step-by-step explanation:

The formula is (F - 32) x 5/9 = C

So 90F would be about 31 or 32 Celsius.  I would recommend googling conversions like this in the future it's faster that way.

please help will give brainliest

Answers

Since the sum of the probabilities of all possible outcomes must be 100%, we can deduce the following:

Cooking in under 20 minutes: 10%Cooking between 20 and 30 minutes: 85%Cooking in more than 30 minutes: 5%

In fact, the probabilities of cooking in less than 20 or more than 30 sum up to 15%, which means that the remaining outcome (i.e. cooking time between 20 and 30) must complete this probability to 15, and in fact 15+85=100.

That being said, all three answers are simply a combination of these three scenarios: let C be the cooking time, for aesthetic reasons:

[tex]P(C\geq 20) = P(20 \leq C \leq 30)+P(C\geq30) = 85\%+5\%=90\%[/tex]

[tex]P(20 \leq C \leq 30) = 85\%[/tex]

[tex]P(C\leq 30) = P(C\leq20)+P(20 \leq C \leq 30) = 10\%+85\%=95\%[/tex]

Toronto have lost 25% of their games and tied 10%. If they played 40 games, how many games did they win

Answers

total = wins + losses + ties
100% = W + 25% + 10%
W = 100% - 25% - 10%
= 65%
65% × 40 = 26 wins

HURRRY!!!
The average estimated hours a person in the United States spent playing video games per year from 2002 to 2012 were 71, 80, 82, 78, 80, 91, 107, 121, 125, 131, and 142. Use the statistics calculator to find the variance and population standard deviation. Round answers to the nearest whole number.
The variance of this data set is _______.
The population standard deviation for this data set is ________.

Answers

The variance of the set is 579

The population standard deviation for this data set is 24

Answer:

579

24

This is correct

Step-by-step explanation:


Translate and solve: eight more than the product of three and a number is -13

Answers

Ok, so let’s take the given phrase.
Eight more than the product of 3 and a number is -13. A translation to numbers looks like this:
3x + 8 = -13
Now, let’s solve for x. We can start the process by subtracting 8 from both sides.
3x = -21
now, we will divide each side by 3 to isolate the variable, thus solving for x.
x = -7

Is (1,2) a solution of the system y>2x and x+y< 3

Answers

Answer: No it is not a solution

Why not? Because it doesn't make the first inequality true. Replace x with 1 and y with 2

y > 2x

y > 2*1 ... replaced x with 1

2 > 2*1 .... replaced y with 2

2 > 2 .... which is a false inequality statement since 2 is not larger than itself

Answer: NO!

Step-by-step explanation:

x = 1, y = 2

 y > 2x

 2 > 2(1)

 2 > 2

 False

Sine it already failed, no need to check the other equation.

A store buys 77 1/2 ponds of mulch in large shipments . they divied mulch into bags that can each hold 2 1/4 pounds . the store sells 1 bag of mulch for $2.25. For each part of the question show your work.


How many full bags of mulch will the store make?

Considering all the full bags, what is the total sales price of all the bags of mulch?

Answers

211111 SJSU doc is den if rndic ifj

The gateway arch in st louis was builtin 1965. It is the tallest monument in the

Answers

In the United States!

Answer:

St. Louis, Missouri, United States.

Step-by-step explanation:

it is the world's tallest arch, the tallest man-made monument in the Western Hemisphere

Niko needs 12 marshmallows and 8 graham crackers to make 4 s'mores how many marshmallows and crackers would he need to make 3 s'mores

Answers

Niko would need 9 marshmallows and 6 graham crackers to make 3 s’mores.
EXPLANATIONN: Ok so to find how many marshmallows he uses for one smore divide 12 by 4, and you get 3, so he uses 3 marshmallows in one smore. Next, we find how much graham crackers he uses in 1 smore by dividing 8 by 4 which is 2 (obvisously but whatever). So now we know that he used 3 marshmallows and 2 graham crackers to make 1 smore, but now we need to know how much of those he needs for 3 graham crackers. So 3 times 3 is 9 so he uses 9 marshmallows, and 2 times 3 is 6 so he uses 6 crackers. Multiply by three cause youre trying to figure out how much stuff he uses for smores. the end, also its a pretty simple problem, just kinda has a long explanation-ish i gues

Amelia swam four times as many laps as wesly . Wesley swam 7 laps. How many laps did amelia swim??????

Answers

Final answer:

Amelia swam 28 laps, which is four times the 7 laps that Wesley swam.

Explanation:

In solving the question about the number of laps Amelia swam, a straightforward multiplication approach is employed. Given that Amelia swam four times as many laps as Wesley, and Wesley's lap count is specified as 7, the calculation involves multiplying Wesley's laps by 4. In mathematical terms, Amelia's number of laps is determined as Wesley's laps multiplied by 4, resulting in 7 × 4 = 28 laps.

This multiplication process provides a clear and concise method to ascertain Amelia's lap count based on the given relationship, demonstrating a fundamental application of arithmetic principles in solving real-world problems involving numerical relationships and operations.

Write the recursive rule of the sequence -9, -3, 3, 9,... .
________________________________________

Answers

The rule of the numbers are to add 6 therefore when -9 is added by 6 it becomes -3 and -3 take away 6 is 3 and then 3 plaza 6 is 9

CAN SOMEONE JUST PLEASE ANSWER THIS ASAP FOR BRAINLIEST!!

The square below has an area of 4 - 4x + x^2 square meters.

What expression represents the length of one side of the square?

Side length = ___ meters

Answers

Answer:

(2-x) or (x-2)

Step-by-step explanation:

Given that area of a square is 4-4x+x^2

We know that area of a square = side x side = side ^2

Hence side of a square = square root of area

To find side let us take square root of 4-4x+x^2

This can be written as 4-4x+x^2 = 2^2 -2(2)(x)+x^2

Recall the identity a^2-2ab+b^2 = (a-b)^2

Here a = 2 and b = x

Hence square root can be either 2-x if x<2 or x-2 if x>2

Answer is 2-x or x-2

Solve for x: negative 7 over 6, multiplied by x minus 6 equals negative 48
36
49
−36
−49

Answers

-7/6*x-6=-48

X will equal -36.

If 42% of carmel residents want to have a fireworks celebration, how many total residents live in carmel of only 16,202 people want to have a fireworks display

Answers

38,576 people live in Carmel.

I need a lot of help please help me. What is 128.34 as a mixed number in simplest form

Answers

128 and 34/100
Simplify that to 128 and 17/50

What is the slope of a line that is perpendicular to the line whose equation is 2x + y = 4

Answers

The slope of the line of the equation given is -2 (by solving for y, you get y = -2x+4).


So, in order to be perpendicular, you must take the negative reciprocal.

The slope would be -1/2.

slope = [tex]\frac{1}{2}[/tex]

the equation of a line in \ slope-intercept form ' is

y = mx + c ( m is the slope and c the y-intercept )

2x + y = 4 ( subtract 2x from both sides )

y = - 2x + 4 ← in slope-intercept form

with m = - 2

given a line with slope m then the slope ([tex]m_{2}[/tex])   of a line perpendicular to it is

[tex]m_{2}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{-2}[/tex] = [tex]\frac{1}{2}[/tex]


How are rational numbers written as a decimal

Answers

i think it because when you rational X and witten the numer as a decimal hope i right just joke


example is rational number 4 12 then it say add and decimal the answer going to be 4.12



thank you have a nice day

There's seven-eighths of a gallon of chocolate ice cream in the freezer. There's also two-thirds of a gallon of vanilla ice cream. How much more chocolate ice cream is there than vanilla? A. 5⁄24 of a gallon B. 15⁄8 of a gallon C. 1⁄3 of a gallon D. 9⁄24 of a gallon

Answers

There's seven-eighths of a gallon of chocolate ice cream in the freezer. There's also two-thirds of a gallon of vanilla ice cream.

[tex]\frac{7}{8}[/tex] gallons of chocolate ice-cream

[tex]\frac{2}{3}[/tex]  gallons of vanilla ice-cream

To find how much more chocolate ice cream is there than vanilla

We subtract vanilla from chocolate

[tex]\frac{7}{8} -\frac{2}{3}[/tex]

To subtract fractions we make the denominators same

least common denominator is 24

[tex]\frac{7*3}{8*3} -\frac{2*8}{3*8}[/tex]

[tex]\frac{21}{24} -\frac{16}{24}[/tex]

[tex]\frac{5}{24}[/tex]

[tex]\frac{5}{24}[/tex] of a gallon

3. Subtract 8.263 from 13.48. A. 21.743 B. 5.217 C. 5.783 D. 6.815

Answers

8.263-13.48= -5.217
But
13.48-8.263= 5.217
So if there's no negative answer choices then the answer is B. 5.217 :) hope this helped

PLEASE HELP NEED ANSWER NOW!!!!


The inequality 5m − 7 > 16 holds true for all numbers (Less? or Greater?) than (3? or 4?) in the set {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}.

Answers

Answer: Greater than 4

Final answer:

The inequality 5m - 7 > 16 is true for all numbers greater than 4 in the set {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}. After isolating m in the inequality, we find that m must be greater than 4.6. Since we're dealing with whole numbers, the inequality holds for numbers greater than 4.

Explanation:

To solve the inequality 5m − 7 > 16, we first isolate the variable m:

Add 7 to both sides of the inequality to get: 5m > 23.

Next, divide both sides by 5 to find the value of m: m > [tex]\frac{23}{5}[/tex], which simplifies to m > 4.6.

Since m must be greater than 4.6, and we are given a set of whole numbers, we are looking for all numbers greater than 4 in the set {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}. This means the inequality holds true for all numbers greater than 4 in the set.

the slope of the line below is -3. Use the coordinates of the labeled point to find a point-slope equation of the line

Answers

the answer to the question is a

Answer:

answer is A

Step-by-step explanation:

What is the value of this expression? (11,982)^0

Answers

The value of the expression 11,982^0, is actually 1! Any number to the power of zero is said to just be one.

Answer: 1


Step-by-step explanation:

Anything to the 0 power is 1, with the exception of 0⁰ = 0

(1,000,000,000)⁰ = 1

[tex](\frac{2}{5})^{0} = 1[/tex]

(0.0012345)⁰ = 1

An attendant collected 45 coins from a parking meter. the value of the coins was $7.25, and there were 5 more quarters than nickels. which system models this situation?

a.) n+5=q and .05n +.25q=7.25
b.) q+5=n and .05n +.25q=7.25
c.) n+5=q and n+q=7.25
d.) n+5=q and 5n+2q=7.25

Answers

Answer:

a.) [tex]n+5=q[/tex] and [tex].05n +.25q=7.25[/tex]

Step-by-step explanation:

1.  You have that there were 5 more quarters ([tex]q[/tex]) than nickels ([tex]n[/tex]. Therefore, you can express it as below:

[tex]n+5=q[/tex]

2. Keeping on mind that the value of the coins was $7.25 and that a quarter is 25 cents and a nickel is 5 cents, you can write the following expression:

[tex].05n +.25q=7.25[/tex]

3. Therefore, the answer is the option a.

which of the following are solutions to the quadratic equation? x^2 + 8x + 16 =7

Answers

E and F

note that x² + 8x + 16 is a perfect square which factors as ( x + 4 )², thus

(x + 4 )² = 7 ( take the square root of both sides )

x + 4 = ± √7 ( note plus or minus )

subtract 4 from both sides )

x = ± √7 - 4

x = √7 - 4 → E

x = - √7 - 4 → F


Answer:

E & F

Step-by-step explanation:

i got it right on Apeckxsss

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