A vehicle 1 1/8 uses gallons of gasoline to travel 13 1/2 miles. At this rate, how many miles can the vehicle travel per gallon of gasoline?

Answers

Answer 1

Answer: 12 miles per gallon

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Answer 2

Answer:

The vehicle can travel 12 miles per gallon of gasoline

Step-by-step explanation:

Proportions

A vehicle uses 1 1/8 gallons of gasoline to travel 13 1/2 miles.

It's required to find the rate of miles per gallon of gasoline consumption of the vehicle.

First, we convert all the mixed fractions to improper fractions:

[tex]1\frac{1}{8}=1+\frac{1}{8}=\frac{9}{8}[/tex]

[tex]13\frac{1}{2}=13+\frac{1}{2}=\frac{27}{2}[/tex]

The rate of consumption is:

[tex]\displaystyle \frac{\frac{27}{2}}{\frac{9}{8}}[/tex]

Operating:

[tex]\displaystyle \frac{\frac{27}{2}}{\frac{9}{8}}=\frac{27}{2}\cdot\frac{8}{9}=12[/tex]

The vehicle can travel 12 miles per gallon of gasoline


Related Questions

During his lunch break, Leon sent 6 texts in 3/4

of a minute. What was his rate of texting?

Answers

Answer:

His rate was 8 text per minute... Please brainliest?

Answer: 8

Step-by-step explanation: trust me

PLEASE HELP ME WITH THIS GUYS!!

Answers

Answer:

C

Step-by-step explanation:

So they bought 2 sneakers. A pair of sneakers cost $6.49. Multiply that by 2, and you get $12.98.

Then they bought a pair of flip flops. So one pair is $0.99. Add that to the $12.98 you got and now you have $13.97.

They also got a pair of flats. One pair is $7.19, so add that to your $13.97 and you now have $21.16.

They also have to pay $1.75 tax, meaning you add that to the $21.16 you have which makes $22.91 total.

But they said how much change they would get from $30 so we're not done yet. So subtract $22.91 from $30 and your answer will be $7.09 which is C.

If 2000 is placed into a bank account that pays 3% compond interest per year, how much will be in the account after 2 years

Answers

Answer:

Interest =(Principle ×Rate×Time)/100

=(2000×3×2)/100

=$120

Total money in the account=$120+$2000

=$2120

Step-by-step explanation:

WHICH STAMENT IS TRUE ABOUT THE GRAPH SHOWN

Answers

I think its A but im not sure

(20x^2 – 3x – 9)/(4x – 3)

Answers

Answer:

5x+3

Step-by-step explanation:

Rewrite the expression to  20x^2-3x-9/4x-3

Factor 20x^2+12x-15x-9/4x-3

Factor 4x*5x+3-3(5x+3)/4x-3

Factor (5x+3)*(4x-3)/4x-3

Solution then becomes 5x+3 as stated above

Which of the following equations has a positive slope and a negative y intercept A.y=3.5x
B.y=1/4x+7
C.y=7.5x-2
D.y=-5x-8

Answers

Answer:

C

Step-by-step explanation:

Because 7.5 is a positive and that is the slope and -2 is a negative and that is the y intercept.

Someone! I need help.

Answers

Answer:

With?

Step-by-step explanation:

PLEASE HELP I will mark brainliest if you explain what you got and how you got it

Answers

Answer:

m=-2 b=0

Step-by-step explanation:

first, in order to understand anything, you gotta know what y=mx+b means :)

first, m is just there so you can substitute it for a number. x represents the slope, and b represents the y-intercept, which you also substitute for a number.

so in y= -2x, there's no y intercept, because there is no number that represents the y intercept.

so if we use y=mx+b, we can just substitute the numbers.

which would be, y= -2.

Find the Shaded Area:
10 m
10 m

Answers

Answer:

100-25pi m

Step-by-step explanation:

Let us subtract the circles area from the square

First, let us find the area of the square:

Base x height =

10m x 10m = 100m

Now, the circle:

pi x radius ^2 =

pi x (10/2)^2 =

pi x 5^2=

25 pi

Therefore, the shaded area is 100-25pi m. You can also simplify it further by plugging in the 3.14... value into pi.

I hope this helps! :)

Calculate the perimeter of the shape to the nearest whole number

Answers

Answer:

Option B

Step-by-step explanation:

Perimeter of the given figure = Sum of measures of all sides

                                                = AB + BC + CA

Since, AB = BC = 9 cm (Radii)

CA = Length of arc CA which is the quarter of the circumference of a circle with radius 9 cm

CA = [tex]\frac{1}{4}(\text{Circumference of the circle})[/tex]

      = [tex]\frac{1}{4}(2\pi r)[/tex]

      = [tex]\frac{1}{2}(\pi )(9)[/tex]

      = 14.14 cm

Now perimeter of the shape = 9 + 9 + 14.14

                                                = 32.14 cm

                                                ≈ 32 cm

Therefore, Option B will be the correct option.

What can u multiply by 8.6
then divide by two to get
32.25

Answers

8.6 * 7.5 divided by 2 is 32.25

Answer:

umm

Step-by-step explanation:

32.25*2=64.50

64.50/8.6=7.5

so the answer is yes

PLEASEEE HELP!!!!!!!!!!

Answers

Okay ill help but tell me the answer first.

Gabrielle read 53 pages of her book in the morning,
She read 26 fewer pages in the afternoon"
How many pages did Gabrielle read in the afternoon?
Solve on paper. Then, check your work on Zearn. )
Gabrielle read 1 pages in the afternoon. 1)

Answers

Answer:

27 pages

Step-by-step explanation:

This is a subtraction problem

26 fewer so you subtract 26

53 - 26 = 27

what mixed numbers divide to 12

Answers

The mix numbers that divide to 12 are

12•1
24•2
36•3
72•6
60•5
84•7
48•4
Yes these all equal 12

URGENT!!!! THIS IS DUE TODAY!!

Answers

Answer:

Unless I am an idiot here (think I am) it is AE s the length between A and E, so it is 8

Step-by-step explanation:

Every side of the square is 16.

A to E is half of a side of the square, not a full side.

So you divide 16 by 2, getting 8.

Hope this helps, and sorry if this seems sloppy, I am new to brainly :)

Hey please help, I'm pretty sure it's C, but I'm not sure if it's a also

Answers

Answer:

It is only C

Step-by-step explanation:

The only answer for this is C

The correct option is option C i.e. "If the ratio of the arc length to r is 1, then the measure of θ is 1 radians".

What is Arc length?

The arc length is defined as the interspace between the two points along a section of a curve.

Here,  we know that,

angle = arc length / radius    ............(i)

If  arc length / radius = 1   ............(ii)

then from eq. (i) and (ii), we get

angle = 1

θ = 1

Thus, The correct option is option C i.e. "If the ratio of the arc length to r is 1, then the measure of θ is 1 radians".

Learn more about arc length from:

https://brainly.com/question/16403495

#SPJ2

Which is the corresponding angle

Answers

Answer:

4 and 8

Step-by-step explanation:

4 and 8 are corresponding angles as they form at parallel lines cut by a transversal.

4 and 3 are supplementary angles (they both add up to 180°).

4 and 1 are vertically opposite angles and are equal to each other.

From the above explanations, only 4 and 8 are corresponding angles.

I hope this helps! I would really appreciate it if you would please mark me brainliest! Have a blessed day!

If f(x) = x + 7 and g(x) - what is (fºg)(x)?
0 4.

Answers

Answer:

The answer is last option choose it.

Step-by-step explanation:

Given

f(x) = x + 7

g(x) = 1/x

Now.

fg(x) = f (1/x)

= 1/x + 7

Hope it will help :)❤

5(2x+1)-2x

How to solve

Answers

Answer:

8x + 5

Step-by-step explanation:

5 * (2x+1) = 10x +5

10x + 5 -2x

8x + 5

If r(x) = 2x^2 – 5x + 1, find r(x + 2)

Answers

Step-by-step explanation:

1 Expand by distributing terms.

rx+r×2

2 Regroup terms.

rx+2r

each dance class in 3/4 hours it takes 7 1/2 hours to learn a dance routine which statement is true ?

Answers

Step-by-step explanation:

Answer:

10 dance class

Step-by-step explanation:

The correct option is (d) a student needs to take 10 dance classes to learn the routine. Step-by-step explanation: Given that each dance class is hour and a student takes hours to learn a dance routine. We are to select the TRUE statement. Thus, a student needs 10 dance classes to learn the dance routine.

Order the following numbers from least to greatest.
Put the lowest number on the left.

71,28,-54,53

Answers

Answer:

-54, 28, 53, 54, 71

Step-by-step explanation:

Hope this helps :)

Need a bit of help here. :/

Answers

Answer:

A or B

Step-by-step explanation:

Find the sum.
(3x - 4) + (12x + 10)​

Answers

Answer:

15x+6

Step-by-step explanation:

Answer:

hiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiii

What is the domain and range of the inverse of: f (x)= (x + 2)² - 1

Answers

Answer:

The inverse of this function is a parabola that has been rotated 90 degrees clockwise, with it's vertex at point 1, 0.

So it's domain is x ≥ 1

And it's range is y ≥ -2

Step-by-step explanation:

Given:

f(x) = (x + 2)² - 1

First we find the inverse:

x = (f(x) + 2)² - 1

x - 1 = (f(x) + 2)²

√(x - 1) = f(x) + 2

f(x) =  -2 ± √(x - 1)

How do i solve this??

Answers

Answer:

x = 25

Step-by-step explanation:

It's a square, so:

[tex]4(4x-10)=360\\16x-40=360\\16x=400\\x=25[/tex]

solve the equation 24 = y + 19
y=

Answers

Answer: y = 6/5

Step-by-step explanation:

Divide £48 in the following ratios.
a 2:1 b) 1:3

Answers

Answer:

a) £32 and £16

b) £12 and £36

Step-by-step explanation:

It is given that:

Amount to divide = £ 48

a) 2 : 1

Let,

x be the times of share.

2x + x = 48

3x = 48

Dividing both sides by 3

[tex]\frac{3x}{3}=\frac{48}{3}\\x=16[/tex]

Thus,

2x = 2(16) = £32

x = £16

b) 1 : 3

x+3x=48

4x=48

Dividing both sides by 4

[tex]\frac{4x}{4}=\frac{48}{4}\\x=12[/tex]

x = £12

3x = 3(12) = £36

Therefore,

a) £32 and £16

b) £12 and £36

What is the equation of this line?


Answers

Answer:

A

Step-by-step explanation:

plz brainliest :)

do you want an explanation?

A

Explanation : your welcome

Henry can write 5 1\4 pages of his novel in 3 hours.
At this rate how many pages can Henry write in 8 hours ?

Answers

Answer:

In 3 hours Henry can write 5 pages. So, In 1 hour Henry can write pages. Now, In 8 hours Henry can write pages. In 8 hours Henry can write 13.3 pages.

Step-by-step explanation:

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