Suppose that the distance a car travels varies directly with the amount of gasoline it uses. A certain car uses 19 gallons of gasoline to travel 380 miles. If the car travels 240 miles, how much gasoline does it need?

Answers

Answer 1

Suppose that the distance a car travels varies directly with the amount of gasoline it uses. This means that the greater the amount of gasoline used, the farther the car can travel. A certain car uses 19 gallons of gasoline to travel 380 miles, indicating a linear relationship between fuel consumption and distance covered.

To find out how much gasoline the car needs to travel 240 miles, we can first determine the rate at which the car consumes gasoline. We can do this by dividing the distance traveled (380 miles) by the amount of gasoline used (19 gallons): 380 miles / 19 gallons = 20 miles per gallon (mpg). This means that for every gallon of gasoline, the car can travel 20 miles.

Now that we know the car's fuel efficiency, we can calculate the amount of gasoline needed to travel 240 miles. We do this by dividing the desired distance (240 miles) by the car's fuel efficiency (20 mpg): 240 miles / 20 mpg = 12 gallons. Therefore, the car would need 12 gallons of gasoline to travel 240 miles.

It's interesting to note that the car's fuel efficiency plays a significant role in determining the amount of gasoline needed for a given distance. A more fuel-efficient car would require less gasoline to cover the same distance, ultimately saving the driver money on fuel costs and reducing the environmental impact of driving.

Related Questions

SOMEBODY, ANYBODY, EVERYBOY SCREAM!

I REALLY NEED HELP!

Answers

Jenny is 8 and Sammie is 17.

Let's use j for Jenny and s for Sammie.

Given that Jenny is 9 years younger than Sammie, j = s + 9. Five years ago, Sammie was 4 times older than Jennie, 4(j - 5) = (s - 5).

We'll substitute the value of x from equation 1 in equation 2:

4(s - 9 - 5) = (s - 5)

3s = 51

s = 17

Then, we plug in what we just learned for j = s - 9. This gives us 17 = s - 9, which means that j = 8, because 8 + 9 = 17.

Therefore, Jenny is 8 years old and Sammie 17 is years old.

I liked the Phineas and Ferb reference lol :) Happy to help, have a good day!

Answer: Jenny is 8 and Sammie is 17.

Step-by-step explanation:

Sheryl is making biscuits for breakfast. She has 4 2/3 cups of flour left. if she uses 1/4 cup of flour to make each biscuit, how many biscuits can she make?

Answers

Answer:

4 5/12

Step-by-step explanation:

Rewriting our equation with parts separated=4+23−14=4+23−14Solving the fraction parts23−14=?23−14=?Find the LCD of 2/3 and 1/4 and rewrite to solve with the equivalent fractions.LCD = 12812−312=512812−312=512Combining the whole and fraction parts4+512=45124+512=4512Solution by FormulasFirst: Convert any mixed numbers to fractions. Then your initial equation becomes:143−14143−14Applying the fractions formula for subtraction,=(14×4)−(1×3)3×4=(14×4)−(1×3)3×4=56−312=56−312

Simplifying 53/12, the answer is=4 5/ 12

the answer is 4 5/12

Graph the following in cartesian plane. With solution.

1.) 5x - 4y = 20
2.) 3x + 3y = 15
3.) y = 3/4x - 2
4.) y = -3/2x + 3

pls help me I need this pls, I only need the solution, thx

Answers

Step-by-step explanation:

1.) 5x-4y=20

y=5/4x-5

5x/4-5=0

x=4

2.) 3x+3y=15

y=-x+5

x+5=0

-x=-5

=x=5

3.) y=3/4x-2

3/4x-2=0

x=0

3x4x/4 -2 x4x-0x4x

3-2x4x=0x4x

3-8x=0

8x=-3

=x=3/8

4.) y=3/2x+3

3/2x+3=0

x=0x

3x2x/2+3x2x=0x2x

3+3x2x=0x2x

3+6x=0

6x=-3

x=_3/6

=x=-1/2

How many yards are in 4 miles?

Answers

Answer: 4 miles are equal to 7040

Step-by-step explanation:

As we know that the ratio can be simplified and the answer can be obtained,

according to the question 5 miles are equal to 8800.

so, here we arrange the ratio in its format as follows

Step 1:

Miles: Yards

5: 8800

Step 2: here we bring the ratio to its simplest form by dividing by 5 on both sides, that is:

5/5=1

8800/5= 1760

Now we get:

Miles: Yards

1: 1760

Step 3: now as we need to find the answer for 4 miles we need to multiply with 4 on both sides, that is:

Miles: Yards

4: 7040

from here we get the answer as 4 milesequalso 7040 yards.

Answers

Answer:

1. 17

2. 20

3. 0

Step-by-step explanation:

The "||" signs around the numbers indicate absolute value.

Absolute value is how far a number is from 0. Ex. The absolute value of -7 would be 7, because -7 is 7 numbers away from 0.

So in these problems, we are taking the absolute values of each number. We will also be using PEMDAS because there are multiple operations in each problem.

P - parenthesis

E - exponent

M - multiplication

D - division

A - addition

S - subtraction

--------------------------------

[tex]2*|12|-|-7|[/tex]

⇩

[tex]2*12-7[/tex]

[tex]24 - 7[/tex]

[tex]=17[/tex]

--------------------------------

[tex]|-108| / |36|+|17|[/tex]

⇩

[tex]108/36+17[/tex]

[tex]3+17\\=20[/tex]

--------------------------------

[tex]|-5|*|12|-|5|*|-12|[/tex]

⇩

[tex]5*12-5*12[/tex]

[tex]60-60\\=0[/tex]

Answer: hope this helps ♡

2 × | 12 | - | -7 | = 17

| -108 | ÷ | 36 | + | 17 | = 20

| -5 | × | 12 | - | 5 | × | -12 | = 0

Step-by-step explanation:

(a negative number will become positive if it's in these brackets: |-12|= 12)

2 × | 12 | - | -7 | =

2 × 12 - 7 = (-7 becomes positive seven, +7)

24 - 7 = 17

| -108 | ÷ | 36 | + | 17 | =

108 ÷ 36 + 17 = (-108 becomes positive one hundred and eight, +108)

3 + 17 = 20

| -5 | × | 12 | - | 5 | × | -12 | =

5 × 12 - 5 × 12 = (-5 and -12 become positive five and twelve, +5 and +12)

60 - 60 = 0

Easy math question, earn points! Quickest answer gets points.

Answers

Step-by-step explanation:

an = 3* (sqrt 2)^(n-1) = 192 solve for n

sqrt(2)^(n-1) = 64

n-1 = log 64 / log (sqrt 2) = 12

n = 13

There are 13 word word

100 POINTS PLEASE HELP FOR ALL QUESTIONS WILL REPORT IF YOU JUST TAKE THE POINTS AND NOT ANSWER THE QUESTION. Mathematics middle school homework

Need help ASAP

Answers

Answer:

What is Relation in Math? Relations in math are used to describe a connection between the elements of two sets. They help to map the elements of one set (known as the domain) to elements of another set (called the range) such that the resulting ordered pairs are of the form (input, output).

For this question they are asking identify the relationship between the corresponding terms.

a. Generate two numerical patterns using two given rules and complete an input/output table for the data.

b. Use data from an input/output table to identify apparent relationships between corresponding terms.

c. Form ordered pairs from values in an input/output table. Graph ordered pairs from an input/output table on a coordinate plane.

To graph this ordered pair you would need to first know what an ordered pair is. An ordered pair contains the coordinates of one point in the coordinate system. A point is named by its ordered pair of the form of (x, y). The first number corresponds to the x-coordinate and the second to the y-coordinate. To graph a point, you draw a dot at the coordinates that corresponds to the ordered pair.

Then you would continue to solve by graphing.

Hope this helps!

Relations are the connection of how something connects to each other. So it has to do with something about the bracelets and stuff.

solve for t

7t–8=10+2t

Answers

Answer:

t=18/5

Step-by-step explanation:

7t-8=10+2t

+8 on both sides

7t-8+8=10+2t+8

combine like terms

7t=18+2t

-2t on both sides

7t-2t=18t+2t-2t

combine like terms

5t=18

divide by 5

5t/5=18/5

t=18/5

Add 8 to both sides:

7t=18+2t

Subtract 2t from both sides:

5t=18

Divide both sides by 5:

t=18/5

t=3.6

In the diagram below, all angles are given in degrees (°)
Find the value of x.

Answers

Answer:

[tex]x=20^o[/tex]

Step-by-step explanation:

from the diagram, we can define the remaining angle in the quadrilateral through the sum of angles in any quadrilateral, which is [tex]360^o[/tex], so the remaining unknown angle should be:

[tex]360-(50+2x+x)=310-3x[/tex]

now that we have the unknown angle, we can find x through the point at which the outer angle is. [tex]x+90[/tex] degrees. (sum of angles at one point is 360 degrees)

[tex]310-3x +x+90=360\\\\400-2x=360\\2x=400-360\\x=20^o[/tex]

The value of variable x is,

x = 20

We have to given that,

In the diagram below, all angles are given in degrees.

Since, the sum of angles in any quadrilateral is, 360 degree.

Let measure of fourth angle is, y

Hence, We get;

(50 + 2x + y + x ) = 360

50 + 3x + y = 360

3x + y = 360 - 50

3x + y = 310

y = 310 - 3x

Now, We get;

(310 - 3x) + (x + 90) = 360

Solve for x,

310 - 3x + x + 90 = 360

400 - 2x = 360

400 - 360 = 2x

2x = 40

x = 40/2

x = 20

Therefore, The solution is, 20

Learn more about the angle visit:;

https://brainly.com/question/25716982

#SPJ2

A cylindrical cake is made in a pan that has a diameter of 10
inches and a height of 2 inches. What is the total surface
area of the icing on the cake?

Answers

141.37 square inches

Answer:

about 141.4 square inches

Step-by-step explanation:

You want the area of icing on a cake that is 10 inches in diameter and 2 inches high.

Icing

The icing on a cake covers the lateral surface area and the area of the circular top. In terms of diameter, the sum of those areas is ...

icing area = πdh +(π/4)d² = πd(h +d/4)

icing area = π(10 in)(2 in + (10 in)/4) = π(10 in)(4.5 in)

icing area = 45π in² ≈ 141.4 in²

The area of icing on the cake is about 141.4 square inches.

Additional comment

If you use 3.14 for π, you get 141.3 square inches.

The attachment shows the "pi button" value. We have rounded to tenths, The full precision result is given so you can round to your checker's requirements.

<95141404393>

Please help me! Also, please don't complicate the answer with some high school formula or something! :)

Answers

Answer: no because u shoent take a risk like that i wouent

Step-by-step explanation:

no, because he already lost once and the probability of him losing again is the same as before.

Identify all of the quadratic functions -

Answers

Answer:

f(x) = a(x - h)2 + k

Step-by-step explanation:

a not equal to zero, is said to be in standard form. If a is positive, the graph opens upward, and if a is negative, then it opens downward. The line of symmetry is the vertical line x = h, and the vertex is the point (h,k).

(Being Timed) Which of the following relations is NOT a function?

Answers

it’s B because the X has two 2 no input can have the same output

B because u can have the same number on x only y

A class made A-line plot to show the legs of students pencils. Which of the following is the most common pencil length for the class select all that apply?

Answers

Answer:

The most common length of the pencil is 9cm as it is repeated most of the times.

Step-by-step explanation:

1) Number of pencils that are 9cm long = 5

2) Number of pencils that are 10cm long = 2

3) Number of pencils that are 11cm long = 1

4) Number of pencils that are 12cm long = 3

5) Number of pencils that are 13cm long = 2

6) Number of pencils that are 14cm long = 3

Answer:

The most common length of the pencil is 9cm as it is repeated most of the times.

Step-by-step explanation:

It takes 17 seconds for a train to pass a 206-meter long bridge at normal speed. It takes 45 seconds for the same train to pass 170-meter long bridge at one-third of the normal speed. What is the length of the train in meters?

Answers

Answer:hello

Step-by-step explanation:sync bien

Variables:

- L = length of the train in meters
- v = speed of the train in meters per second (normal speed)
- t1 = time taken by the train to pass the 206-meter long bridge at normal speed
- t2 = time taken by the train to pass the 170-meter long bridge at one-third of the normal speed

From the problem statement, we have two equations involving these variables:

Equation 1: L + 206 = v * t1

Equation 2: L + 170 = (1/3)*v * t2

We can solve this system of equations for L by eliminating v. To do this, we can rearrange Equation 1 to solve for v:

v = (L + 206) / t1

Then, we can substitute this expression for v into Equation 2:

L + 170 = (1/3)*[(L + 206) / t1] * t2

Multiplying both sides by 3*t1 and simplifying, we get:

3*L*t1 + 3*170*t1 = (L + 206)*t2

Expanding the right-hand side and simplifying, we get:

3*L*t1 + 510 = L*t2 + 206*t2

Now, we can solve for L by rearranging terms and simplifying:

L = (206*t2 - 3*170*t1) / (3*t1 - t2)

Substituting the given values, we get:

L = (206*45 - 3*170*17) / (3*17 - 45) = 510

The length of the train is 510 meters.

What is the value of 32 – 101 – (-38)? What is the value of (-63) + 32 – (-119)?

Answers

32 – 101 – (-38) = 32 – 101 + 38 = -31

(-63) + 32 – (-119) = -63 + 32 + 119 = 88

1) 32 - 101 - (-38) = -312) (-63) + 32 - (-119) = 88

Identify all of the quadratic functions

Answers

Answer:

y=15000(1.03)^x

y=(1/4)x^2+6x-1

y=(x-2)^2+4

y=3*0.25^x

Step-by-step explanation:

Anything with an exponent.

Solve for n.

-4n=2–5n
n=

Answers

Answer:

n=2

Step-by-step explanation:

I did it already

N=2
(here is the work)
-4n=2-5n
+5n +5n
-4n+5n=2
X=2

100 points!

Triangle ABC is congruent to Triangle EFG.

The length of AB is 4 cm, the length of BC is 12 cm and the length of EF is 12 cm.
Which would be the value of the side FG?

A. 36 cm
B. 3 cm
C. 4 cm
D. 24 cm

Answers

Answer: A. 36

Step-by-step explanation:

The order of the letters matter.

ABC is similar to EFG

AB similar to EF > AB is first 2 letter of first triangle and EF first 2 of

2nd triangle

BC similar to FG >BC is second 2 letter and FG is 2nd 2 letters

AB = 4 and EF = 12 > similar sides EF is 3 times bigger, that means that

the scale factor is 3, EFG, all sides are 3 times

bigger

If the scale factor is 3

And

BC= 12 then FG = 12 x3 = 36

FG= 36

Answer:36

Step-by-step explanation:

Consider the functions below -

Answers

Answer:

y-intercept

Step-by-step explanation:

In all cases, when x = 0, f(0) = a or b or c.

Answer: y-intercept

EASY MATH QUESTION, EARN POINTS!

Answers

Answer:

g43 = 79.5

Step-by-step explanation:

geometric sequence = ar^(n-1), where a is first term and r is common ratio.

g23 = ar^(23-1) = ar^22 = 16.

g28 = ar^27 = 24.

now do g28/g23:

(ar^27) / (ar^22) = 24/16,

a^(1-1) r^(27-22) = 24/16,

a^0 r^5 = 24/16,

r^5 = 24/16 = 1.5,

r = (1.5)^1/5 ≈ 1.084.

ar^22 = 16,

a = 16/(r^22) ≈ 2.687.

so g43 = ar^42 ≈ (2.687)(1.084)^42 = 79.5

g43=79.5 I’m pretty sure

Solve for p.
-2p=-3p+8

p=

Answers

Answer:

p=8

Step-by-step explanation:

-2p+3p=8 because u move -3p to the other side it becomes positive p

so p=8

Answer: 8

Step-by-step explanation:

SOMEONE WITH A REAL AWNSER!

Answers

Answer:

To find the absolute value of a number is to find how many numbers is the number from zero.

The value of x can be from -6 to 6. So put the number line as -7 to 7 with OPEN segment dots. (-6, -5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5, 6)

0= Segment/Point

Bolded Line = Number Line

<------------------0------------------------------------------------------0----------------------->

-10 -9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8 9 10

If an absolute value is negative, just change it to the positive version. If an absolute value is positive, it stays the same. The answer is provided on the chart above. Hope this helps!

-From a Fifth Grade Honors Student!

So what I did was use the hole thing at 7 then a ray at the end

Please help i’ll give brainliest!

For which set of data are the median and mode the same number?

A. 4, 5, 7, 7, 8, 10
B. 3, 5, 6, 8, 8, 9
C. 5, 5, 6, 8, 9, 10
D. 4, 5, 7, 8, 9, 9

Answers

Answer: A

Step-by-step explanation:

median: 7+7=14

14/2=7✅

mode: 7 shows up the most (twice)

I will have to say as I the first person that is on top of my comment the answer is A

LOOK AT THE PICS AND HELP PLEASE

Answers

Its pretty simple but u have to use the number line to get the decimals from so the answer is 56

The answer is 56.
Uu have to use process of elimination.

Consider the functions below -

Answers

Answer:

determine whether the function is going/opening up or down.

SOMEONE WHO KNOWS THE AWNSER PLS HELP!

Answers

Step-by-step explanation:

Well, 6 away from 0 could be -1, -2, -3, -4, -5, -6, 1, 2, 3, 4, 5, 6. We include 6 and -6 because it says "no more than 6 units away" which means x≤6. So all you do is to use a segment that is shaded in on both sides from -6 to 6.

1, 2, 3, 4 ,5, 6, -1, -2, -3, -4, -5, -6

Adrian is throwing a ball into a pail. With 50 attempts, the ball goes into the pail and stays 8 times, goes into the pail and bounces out 6 times, and misses the pail 36 times. If Adrian throws the ball again, what is the probability of each outcome?
Probability the ball goes into the pail and stays =
Probability the ball goes into the pail and bounces out =
Probability the ball misses the pail =

Answers

The probability the ball goes into the pail and stays in is 16%

The probability the ball goes in to the pail and bounces out is 12%

The probability the ball misses the pail is 72%

STEPS:
Divide each number by 50.
36 divided by 50: 0.72
6 divided by 50: 0.12
8 divided by 50: 0.16

Remove the 0’s from the numbers
0.72 -> 72
0.12 -> 12
0.16 -> 16

We want to make sure that all these numbers equal 100 because 100% is 50 in this equation.
12 + 16 + 72 = 100
Because those numbers equal 100, 50 is equal to 100%

Hope this helps!

Answer:

The approximate probability that the ball goes into the pail and stays is 8/50 or 4/25.The approximate probability that the ball goes into the pail and bounces out is 6/50 or 3/25. The approximate probability that the ball misses the pail is 36/50 or 18/25.

Step-by-step explanation:

Experimental probability is the ratio of the number of times an event occurs to the total number of trials or times the activity is performed. It is based on the results of an experiment or a simulation. For example, if you toss a coin 10 times and get 7 heads and 3 tails, the experimental probability of getting heads is 7/10 = 0.7. This may not match the theoretical probability of getting heads, which is 1/2 = 0.5, because of random variation or error. The more trials you perform, the closer the experimental probability will get to the theoretical probability.

To find the probability of each outcome, we need to divide the number of times the outcome occurred by the total number of trials. Using the given data, we can calculate the probabilities as follows:

The probability the ball goes into the pail and stays = 8/50 = 0.16 The probability the ball goes into the pail and bounces out = 6/50 = 0.12 The probability the ball misses the pail = 36/50 = 0.72

We can check that these probabilities add up to 1, which means they are valid.

Help pls. Also wdym this is to short yk why so long >:/

Answers

Answer:

Y= mx + b

so Y = 1/3x + 2

just substitute

Due to the answer requesting slope intercept form, one shall use the points (3,2) in order to substitute for b. Slope intercept form is formatted in y = mx + b, which m would be your slope, which in this particular problem was given; therefore, y = 1/3x +b.

Now, we shall use points (3,2) as the substitutes for the solution for b, which 3 would be the input and 2 would be y.

Therefore, 2 = 1/3(3) + b
2 = 1 + b, therefore, one would be subtracted from 2 which would give us the answer of b equaling to one. Thus, y = 1/3x + 1

Identify all of the quadratic functions -

Answers

Step-by-step explanation:

Quadratic function form : (degree function 2)

y = ax² + bx + cy = a(x - xp)² + ypy = (x - a)²

So, in this answer of exercise is :

y = (x - 2)² + 4y = ¼x² + 6x - 1

Subject : Mathematics

Level : JHS

Chapter : Quadratic Functions

Other Questions

the solid mg will react with which solution(s)? group of answer choices cu(no3)2 agno3 mg(no3)2 pb(no3)2 zn(no3)2 during the product life cycle, when do sales begin to slow down while profit levels are high? here are 10 keys and only one of them can open a lock. we do not know which key can open the lock, but we will try them one by one until we find the right key. let x denote the number of times tried to find the right key. when you work internationally, you have to deal with the potential barriers of Talk is viewed as desirable and useful for both task and social purposes inWestern culture.Asian culture.upper- and middle-class groups.older people. in a local bar, a customer slides an empty beer mug down the counter for a refill. the height of the counter is 1.22 m. suppose that the initial velocity of this mug (when it leaves the counter) points to the horizontal direction. and the magnitude of this initial velocity is 2.81 m/s . the mug slides off the counter and strikes the floor. what was the direction of the mug's velocity just before it hit the floor? in other words, find the reference angle for the mug's velocity just before it strikes the floor. question game theory is used to explain responses a)why firms price discriminate b)how monopolies evolve into oligopolies c)strategic behavior of firms in oligopoly d)strategic behavior of firms in oligopoly e)profit maximization in monopoly f) price leadership of monopolistic competition the extent to which less powerful members of a society expect and accept power is known as _____. people with more money have a higher stress level. are less happy in poor countries. perceive more control over their lives. are more likely to reduce their consumption. 8.377 42.6 PA ZEE ET 22.942 RI NC 56250 16.510 GA VA DOC 29 1960 DE 10 8 642 Members of Congress 2 4 6 8 10 Members of Congress Identify the correct and incorrect statements. Correct Answer(s) Drag appropriate answer(s) here Representation in the First Congress was equitable for all states. Senators are allocated equally across states, whereas the number of representatives per state varies, Individuals in small states, such as Delaware, receive better representation than those in large states, such as Virginia. Large states, such as Virginia and North Carolina, benefited greatly in their representation whereas small states like Delaware and Rhode Island were severely disadvantaged in the First Congress How did James Meredith contribute to the civil rights movement?ResponsesHe organized a boycott to desegregate the buses in Montgomery, Alabama.He was the first Freedom Rider to give his life for the cause of civil rights.He sued to become the first African American student at the University of Mississippi.He planted bombs at the houses of several prominent white supremacists. a solid disk and a thin hoop have the same mass, radius and thickness. if they roll down an inclined plane together from the same height, which one will reach the bottom first over what interval(s) of is tan ( ) > 0 ? select all that apply.a.0 _______generally, tend to be the most expensive form of primary data collection. a.Personal interviews b.Web-based surveys c.Mail surveys d.Telephone interviews e.Email surveys The carbon skeleton can vary in all:_________ the partial replacement models have been bolstered by the sequencing of neandertal genome.a. trueb. false if you could do something totally out of character and remain anonymous what would you do? true or false, when a firecracker explodes, mass is lost A lab group investigates the maximum weight students can lift with their arms compared to their legs. If their value was 20, which of the following conclusions would be justified? There is no significant difference between the arms and legs data. It's unlikely there's a difference between the arms and lees data, It's bely there's a difference between the arms and legs data. This is a difference between the arms and legs data a group of gastrointestinal symptoms associated with stress and tension is: