For your trip to Austin you know you are going to travel 182 miles and your car can do that in 14 gallons. How far can your car travel on 8 gallons of gas?​

Answers

Answer 1
First, you need to create a unit rate.
The car travels 182 miles on 14 gallons of gas.
To create a unit rate, you would have to divide 14 by 182.

182 mi 13 mi
———— = ———-
14 gal 1 gal

Then, you would need to multiply the numerator and denominator by 8 because the question is asking how far the car can travel on 8 gallons of gas.

13 mi x 8 104 mi
——— = ————
1 gal x 8 8 gal

So, your answer is the car travels 104 miles on 8 gallons of gas.

Related Questions

Which statement illustrates a simulation that could be used to generate samples of people on a game show selecting either door A, door B, or door C?

A. Flipping a coin and getting heads for door A or tails for door C.

B. Rolling a die; 1 or 2 represents door A, 3 or 4 represents door B, and 5 or 6 represents door C.

C. Creating a spinner divided into 4 equal parts. Label two parts door A, one part door B, and the third part door C.

D. Go to the game show and collect data for a month on which doors people chose.

Answers

Answer:

The correct option is;

B. Rolling a die; 1 or 2 represents door A, 3 or 4 represents door B, and 5 or 6 represents door C

Step-by-step explanation:

Given that an onloaded die has equal chances of getting either 1 or 2 or 3 or 4 or 5 or 6, the chances of getting a particular score is therefore 1/6

and the probability of getting a 1 or 2 = 1/6 + 1/6 = 2/6 = 1/3

Therefore, given that the probability, P[tex]_{door}[/tex] of opening door A, or door B, or door C is the probability of selecting 1 out of 3 given as follows;

P[tex]_{door}[/tex](door A) = 1/3

P[tex]_{door}[/tex](door B) = 1/3

P[tex]_{door}[/tex](door C) = 1/3

Therefore, given that the probability of selecting either door A or door B or door C is equivalent to the probability of getting a 1 or 2, or a 3 or 4, or a 5 or 6 on a die.

Answer:

Its B: Rolling a die; 1 or 2 represents door A, 3 or 4 represents door B, and 5 or 6 represents door C.

Step-by-step explanation:

They have to be evenly probable so its B

edge 2020

A baseball field is being constructed. The builders noticed that the batters would have the sun in their eyes when batting from point A. The builders decided to rotate the model 90° counterclockwise about the origin. Where is the new location of the batter?

Answers

Answer:

[tex]A' =(-y,x)[/tex]

Step-by-step explanation:

Given

Represent point A as thus;

[tex]A = (x,y)[/tex]

Required

Determine the new position of A, when rotated counterclockwise

The new position will be denoted as A'

When a point is rotated counterclockwise, we start by switching the positions of x and y as follows:

[tex]Pos = (y,x)[/tex]

Then, y is negated to give A'

[tex]A' =(-y,x)[/tex]

Please help
8th grade pre algebra

Answers

Answer:

The 1st Graph: -4/1

2nd Graph 1/3

Step-by-step explanation:

If k(x) = -2x2 – 7, find k(4)

Answers

Answer:

-39

Step-by-step explanation:

Answer:

-23

Step-by-step explanation:

You just plug in 4 for x. So it'd be -2(4)2-7

So, you have -8(2)-7

Then: -16-7, which gives  you -23

FIRST CORRECT ANSWER GETS BRAINLIEST!
Kate is planning a trip to the beach. She estimates her average speed to graph her expected progress on the trip. Write an equation in slope-intercept form that represents the situation.




slope (m):


y-intercept (b):


equation:

Answers

Answer:

Slope = -60 miles per hour

y-intercept = 300 mi.

Equation of the line → y = -60x + 300

Step-by-step explanation:

Let the equation representing relation between the distance to beach and time taken is,

y = mx + b

Where, m = slope of the line = Average speed of Kate

y = Distance to the beach

x = time taken

b = Distance from the beach at t = 0

Slope of a line joining points [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]

Slope the line joining (5, 0) and (0, 300),

Slope 'm' = [tex]\frac{300-0}{0-5}[/tex] = -60 miles per hour

y intercept 'b' = 300 mi.

So the equation will be,

y = -60x + 300

Complete the square to put () in vertex form. () = 3
2 + 30 − 12. What is the vertex?

Answers

Answer:

A and A

the equation of a parabola in vertex form is

y = a(x - h)² + k

where ( h, k ) are the coordinates of the vertex and a is a multiplier

y = - 2(x + 3)² + 2  is in this form

with vertex = ( - 3, 2)

To find the y-intercept let x = 0

y = - 2(3)² + 2 = - 18 + 2 = - 16

Similarly

y = - 2(x + 2)² + 2 is in vertex form

vertex = ( - 2 , 2)

x = 0 : y = - 2(2)² + 2 = - 8 + 2 = - 6 ← y- intercept

hope this helped

Nicole babysits on the weekends. She charges a flat fee of $10 and then $5 per hour. If she made $40 on Friday night, how many hours did she babysit?

Choose the equation to represent this situation.

Group of answer choices

Answers

Since she charges a flat fee of 10 what she made from babysitting would be 30 dollars and if you divide 30 dollars by 5 it would calculate to 6 hours of babysitting.

Help me plz!!!!!!!!!!!

Answers

Answer:

88%

Step-by-step explanation:

22/25 = .88 x 100= 88%

Answer:

88%

Step-by-step explanation:

First, you start with the bottom (denominator). You turn it into 100 since all percentages are over 100. So 25 times 4 is 100. Therefore, you also have to multiply the top with a 4, getting an 88 over 100. That is equal to 88%.

6(x – 1) = 9(x + 2)
Solve

Answers

Answer:

x=−8

Step-by-step explanation:

6(x−1)=9(x+2)

Step 1: Simplify both sides of the equation.

6(x−1)=9(x+2)

(6)(x)+(6)(−1)=(9)(x)+(9)(2)(Distribute)

6x+−6=9x+18

6x−6=9x+18

Step 2: Subtract 9x from both sides.

6x−6−9x=9x+18−9x

−3x−6=18

Step 3: Add 6 to both sides.

−3x−6+6=18+6

−3x=24

Step 4: Divide both sides by -3.

−3x/−3=24/−3

Please help D: what’s the answer

Answers

I think it’s the 6 I’m not sure tho
BBBBBBBBBBBB I TOOK THE TEST

The Earth has a mass of about 6 x 1024 kg. Neptune has a mass of 1 x 1026 kg.
How many times bigger is Neptune than Earth?
Give your answer in standard form to the nearest whole number.

Answers

Neptune is about four times wider than Earth.

30 students in a class took a math test 24 students pass the test what percent past

Answers

Answer:

80% passed

Step-by-step explanation:

1. 24 out of 30 passed

2. In order to make it a % you have to multiply

3. 100 * 24/30

4. = 2400/30

5. Therefore the answer is 80

-7a-3=18
Solve for A

Answers

Answer:

a = -3

Step-by-step explanation:

-7a-3=18

Add 3 to each side

-7a-3+3=18+3

-7a = 21

Divide each side by -7

-7a/-7 = 21/-7

a = -3

Answer:

a= -3

Step-by-step explanation:

[-7a - 3 = 18]

Add 3 to both sides

[-7a=21]

Divide both sides by -7

[a= -3]

help me!!!!!!! I need help​

Answers

Answer:

the  answer is 8

Step-by-step explanation:

BC

Answer:

8

Step-by-step explanation:

18-inches is 1.5 feet.

What is the product of 840 and 4.6 \times 10^24.6×10
2
expressed in scientific notation?

Answers

Answer:

840

Step-by-step explanation:

840&*67---***&%%%%%:

3.864×10⁵ is the product of 840 and 4.6×10² in scientific notation

What is Multiplication?

Multiplication is a method of finding the product of two or more numbers

Scientific notation is a way of expressing numbers that are too large or too small to be conveniently written in decimal form.

We need to find the product of 840 and 4.6×10²

Eight hundred forty into four point six into ten to the power of two.

840× 4.6×10²

3864×10^2

Divide and multiply by 1000

3.864×10^5

Hence 3.864×10⁵ is the product of 840 and 4.6×10²

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NEED HELP PLEASE IM BEGGING YOU PLEASE!!!!!!!!!!!
I NEED HELP ON ALL THREE PLEASE!!!!

Answers

Answer:

16. H

17. C

18. G

What is the transformation that needs to be done to map ABCDE to A'B'C'D'E'?

Answers

Answer:

the third one

Step-by-step explanation:

The correct awnser is 3

Choose the correct equation for the line shown on the graph?

Answers

Answer:

Option 3

[tex]y=-\frac{1}{4} x-1[/tex]

Step-by-step explanation:

[tex]y=mx+b[/tex]

where m = slope, and b = y intercept

The y intercept is -1. That is because the given line intersects the y axis at the point (0,-1)

The slope is -1/4

That is because it goes up one, and right -4. That means it goes up 1 and left 4.

Need help please hehehehehe

Answers

Answer:

no help kid

Step-by-step explanation:

Answer:

the answer is c

Step-by-step explanation:

Gianna earned $466.90 at her job when she worked for 23 hours. How much money did she earn each hour?

Answers

Answer:

About $20.30

Step-by-step explanation:

$466.90 divided by 23.

$20.30

You need to divide 466.90 which is the total amount for 23 hours and then divide that by 23

3. Evaluate 7w – 52 + 9 + w) when w = 4 and z = 5​

Answers

Answer:

45

Step-by-step explanation:

7 x 4 - 5 x 5 + 9 (2/3 + 4)

28 - 25 + 9 x 14/3

28 -25 + 3 x 14

28 - 25 + 42

45

Answer:

45

Step-by-step explanation:

Given

7w - 5z + 9([tex]\frac{2}{3}[/tex] + w) ← distribute parenthesis

= 7w - 5z + 6 + 9w ← collect like terms

= 16w - 5z + 6 ← substitute w = 4, z = 5 into the expression

= 16(4) - 5(5) + 6

= 64 - 25 + 6

= 45

Given that f(x)=x-3 and g(x)=x^2-x, find (f+g)(-2)​

Answers

Answer:

(f + g)(- 2) = 1

Step-by-step explanation:

(f + g)(x) = f(x) + g(x) , thus

f(x) + g(x)

= x - 3 + x² - x

= x² - 3

Thus

(f + g)(- 2) = (- 2)² - 3 = 4 - 3 = 1

143cups + 1 1/3 cups

Answers

Answer: 144 1/3 cups

Step-by-step explanation: 143+1 1/3=144 and 1?3

what is the common difference between successive terms in the sequence​

Answers

9,2.5,-4,-10.5,-17

Let's find the difference between two consecutive terms

2.5 - 9 = -6.5

-4 - 2.5 = -6.5

-10.5 - (-4) = -6.5

-17 -(-10.5) = -6.5

We can see that the common difference is -6.5

-6.5 is the common difference between successive terms in the sequence 9,2.5,-4,-10.5,-17

the common difference is negative because we subtract 6.5 to get the next term.

Answer:

The common difference between 9, 2.5, –4, –10.5, –17, ...

Is –6.5

Step-by-step explanation:

Because,

2.5 - 9 = -6.5

-4 - 2.5 = -6.5

-10.5 - (-4) = -6.5

-17 -(-10.5) = -6.5

We can see that the common difference is -6.5

-6.5 is the common difference between successive terms in the sequence 9,2.5,-4,-10.5,-17

the common difference is negative because we subtract 6.5 to get the next term.

Evaluate the given question.

Answers

Answer:

In this case since you have fraction you must make sure the limit x value does not make the denominator 0. In this case it does, so you have to factor the expressions to try to cancel out like terms when dividing. Use the method of factoring polynomials to find the solution. It is too late for me but I told you how you can answer it. Once you can plug in 2 into the denominator and not get 0, you can evaluate the limit. Keep practicing!

Step-by-step explanation:

I NEEP HELP PLS !!!!!!! UwU
Write an equation that has a slope of 4 and a y-intercept of (0,2)

Answers

Answer:

y=4x+2

I know this already i learned this 3 years ago

Answer:

The equation would be y=4x+2

Step-by-step explanation:

The equation of a slope is y=mx+b, with the slope replacing m, and the Y intercept replacing b.

The expected attendance at a school event is 65 people. The actual attendance can vary by up to 30 people. Which equation can you use to find the minimum and maximum
attendances?

Answers

Answer:

|x-65|=30

Step-by-step explanation:

You are expecting 65 people, but usually 30 people come.

This equation works best since you can find both the minimum and maximum.

The equation can you use to find the minimum and maximum attendances will be |x - 65| = 30.

What is an absolute function?

The absolute function is also known as the mode function. The value of the absolute function is always positive.

The absolute function is given as

f(x) = | x |

The expected attendance at a school event is 65 people. The actual attendance can vary by up to 30 people. Then the absolute function of the equation is given as,

|x - 65| = 30

The equation can you use to find the minimum and maximum attendances will be |x - 65| = 30.

More about the absolute function link is given below.

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Help me !!! Solve: 3b − 2 = 7

Answers

Answer:

B=3

Step-by-step explanation:

3b - 2 = 7
+2 +2
3b = 9
Divide by 3 on both sides...
b = 3

What is the standard form of the polynomial,
9x2 + 5x + 27 + 2x3

Answers

Answer
2x^3+9x^2+5x+27

The standard form of the given polynomial ( 9x² + 5x + 27 + 2x³ ) is 2x³ + 9x² + 5x + 27.

What is the standard form of the polynomial?

To write a polynomial in its standard form, we first simplify then write the terms in an descending order.

Given the polynomial; 9x² + 5x + 27 + 2x³

First, we move the constant 27 to the right end of the expression

9x² + 5x + 2x³ + 27

Next, we move 2x³ left end of the expression

2x³ + 9x² + 5x + 27

Therefore, the standard form of the given polynomial ( 9x² + 5x + 27 + 2x³ ) is 2x³ + 9x² + 5x + 27.

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27. In a class test containing 15 questions 4 marks are given for every correct answer and
(-1) marks are given for every incorrect answer.
(i) Gokul attempts all questions but only 6 of his answers are correct. What is his
total score?
(ii) Neena gets 12 of her answers correct. What will be her score?​

Answers

Answer:

24 and 72

Step-by-step explanation:

just multiple them both by 6

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