Yesterday, Jack drove 35 1/2 miles used 1 1/4 gallons of gasoline. What is the unit rate for miles per gallon?

Answers

Answer 1

Answer:

28.4 miles/gallon

Step-by-step explanation:

to find the answer, you need to find the constant by dividing the miles drove by the amount of gasoline (or the other way around in terms of wording if it is not correct grammar) So you need to do 35.5/1.25 .  FYI I converted the fraction to decimal. The answer is 28.4 miles/gallon.

Hope this helped!! :)


Related Questions

please help me with this

Answers

Answer:

top right equation

Step-by-step explanation:

y=x^2-2

my answer got deleted. so stup id


What point is on both lines y = {x +3 and y = x +1? (1 point)




Please help ASAP

Answers

Answer:

No point

Step-by-step explanation:

This is a trick question because if you break down the graphing equations to y=mx+b, you see that it is a linear graph, so it will have a straight line. For the first equations, y=x+3, you look at the original equations, y=mx+b. m=slope, b=x-intercept. Slope is rise/run (y/x) so the slope would be up one, over one (1/1=1). The x-intercept is 3 so its a straight line but it intercepts at 3. The next equation is the exact same thing, but the x-intercept is at 1. A straight line that intercepts at 1. So it is two parallel lines that never ever touch. So this is a trick question.

HELP ME PLEASE!!!!!!

Answers

Answer:

m=4/3

b=0

Step-by-step explanation:

m= is the slope, which is 4/3 and b is the y intercept, which is (0,0). The equation would be y=4/3x+0 but we do not have to include the 0 making it y=4/3x. The equation is proportional becuase it goes through the point (0,0) and it is linear as it is a linear line.

is 1/4 closer to 0, 1/2, 1

Answers

Answer:

it is closer to 0 :):):):):)

The given point 1/4  lie closer to 0& 1/2 than 1

What is a decimal number?

A decimal number is a number that consists of a whole number and a fractional part separated by a point. For example – 3.5, 6.79, 78.32, etc.

Given here: Given the proper fraction as 1/4

To convert a fraction to a decimal, we'll just divide the numerator...by the denominator.

Thus 1/4=0.25

1/2=0.5

Now the difference between each of the given points is 1/2-1/4=0.25

And 1/4-0=0.25

Also 1-1/4=0.75

Thus the point 1/4 is equidistant from the points 0 and 1/2 but is 0.75 units away from 1

Hence, The given point 1/4  lie closer to 0& 1/2 than 1

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You have 18 stamps from Mexico in your stamp collection.
These stamps represent of your collection. The rest of the
stamps are from the United States. How many stamps are
from the United States?
12
24
30
48

Answers

Fraction of stamp from Mexico = 3/8 of total stamps. So total number of stamps are 48.

The quarterback threw 30 passes during the game. He completed 12 of them. What is his percent of completion?

Answers

30=100%
12= percent of completion

Turn this info into a fraction and divide by denominator
12/30=.4
Now times your decimal by 100 to get in percentage form
40%


supposea,b,and c represent three postive whole numbers. if a+b=19, b+c=28, and a+c=25 what are the values of a, b, and c? solve for x sqaured 2 -4x +3 = 0

Answers

Hello can you help me Solve each system of equations by GRAPHING. Clearly identify your solution.
(4x-y=3)
(3x+y=4)


Please help I need this answer and an explanation of how you got it I really do need this if you can help please it would mean so much to me I REALLY NEED HELPPPP

if -x>4 then what would be true about x? why?

Answers

Answer:

x will have to be a negative number to be come positive 2 negatives = positive

A particle moves along the curve y = 5x^2 – 1 in such a way that the y value is decreasing at the rate of 2 units per second. At what rate is x changing when x = 1?


Decreasing one fifth unit/sec

Increasing one fifth unit/sec

Decreasing one tenth unit/sec

Increasing one tenth unit/sec

Answers

Answer:

The correct option is;

Increasing one fifth unit/sec

Step-by-step explanation:

The equation that gives the curve of the particle of the particle is y = 5·x² - 1

The rate of decrease of the y value dy/dt = 2 units per second

We have;

dy/dx = dy/dt × dt/dx

dy/dx = 10·x

dy/dt = 2 units/sec

dt/dx = (dy/dx)/(dy/dt)

dx/dt = dy/dt/(dy/dx) = 2 unit/sec/(10·x)

When x = 1

dx/dt = 2/(10·x) = 2 unit/sec/(10 × 1) = 1/5 unit/sec

dx/dt = 1/5 unit/sec

Therefore, x is increasing one fifth unit/sec.

-0.6w=2.4
Please answer
Hggjigj

Answers

Answer: 3

Step-by-step explanation:

-0.6/(-0.6)=2.4+(-0.6)

Final Answer: [tex]w = -4[/tex]

Steps/Reasons/Explanation:

Question: Solve [tex]-0.6w = 2.4[/tex].

Step 1: Divide both sides by [tex]-0.6[/tex].

[tex]w = -\frac{2.4}{0.6}[/tex]

Step 2: Simplify [tex]\frac{2.4}{0.6}[/tex] to [tex]4[/tex].

[tex]w = -4[/tex]

~I hope I helped you :)~

Can this be a line of symmetry?

Answers

Answer:

No, it can not

Step-by-step explanation:

Hope this helped have an amazing day!

No
Explanation: The line of symmetry can be defined as the axis or imaginary line that passes through the center of the shape or object and divides it into identical halves.

which sum or difference is equivalent to the following expression 15x - 20/5

A 15x - 4
B 10x - 15
C 3x - 4
D3x - 20

Answers

Answer: A

Step-by-step explanation:

Answer:

I think A 15x -4

Step-by-step explanation:

a. 15x-4

a. 15x-4

during a test of a totalizing flow meter, the water depth rose 15 inches in a tank 18 inches in diameter. What was the total flow in gallons

Answers

Answer:

The total flow in gallons is approximately 16.524 gallons

Step-by-step explanation:

The given diameter of the tank, D = 18 inches

The amount by which the water depth rose, Δh = 15 inches

The quantity being measured = The total flow = The change in volume of water in the tank

The change in the volume of the water in the tank, ΔV = (π × D²/4) × Δh

Substituting the known values, gives;

ΔV = (π × D²/4) × Δh = (π × (18 in.)²/4) × (15 in.) ≈ 3817.035 in.³

1 gallon = 231 in.³

ΔV ≈ 3817.035 in.³ = 3817.035 in.³ × 1 gallon/(231 in.³)  ≈ 16.524 gallons

The change in the volume of the water in the tank, ΔV in gallons = The total flow in gallons ≈ 16.524 gallons.

wa says that 15 years from now his age will be 3 times his age 5 years ago. If a represents William's present age complete the following 25 years 28 years X-15= 3+ 5) x+15= 3(4-5) The equation representing William's claims​

Answers

Answer:

x+15 = 3(x-5)

Step-by-step explanation

Let the william present age be a, we are to find the equation representing William's claims​

15 years from now, williams age will  be x+15

5 years ago, his age will be x - 5

if 15 years from now his age will be 3 times his age 5 years ago, this is expressed as;

x+15 = 3(x-5)

Hence the required equation is x+15 = 3(x-5)

Stella set up a business washing cars. She earned $80 in March. She is projected to earn 130% more in April. How much is Stella projected to make in April?

$104
$184
$210
$234

Answers

Answer:

it is 184

Step-by-step explanation:

Answer: 184

Step-by-step explanation:

Stella is projected to make $184 in April because 130% MORE than $80 should be $184. Therefore, the answer is B. Sorry if I'm wrong!

Here is the calculator I used to figure this out! V Please mark brainliest.

calculateme

The equation y = 12 - 0.2x shows the amount of candle that is left (in ounces) after
burning for x hours. What is the y - intercept for the function, and what does it represent

Answers

Answer:

The y-intercept is 12.

It represents the original length of the candle.

Step-by-step explanation:

y = 12 - 0.2x

y = 0.2x + 12

y = mx + b

b is the y-intercept.

b = 12

The y-intercept is 12.

It represents the original length of the candle.

HELP. How long is the minor axis for the ellipse shown below?

Answers

Given:

The equation of ellipse is

[tex]\dfrac{(x+4)^2}{25}+\dfrac{(y-1)^2}{16}=1[/tex]

To find:

The length of the minor axis.

Solution:

The standard form of an ellipse is

[tex]\dfrac{(x-h)^2}{a^2}+\dfrac{(y-k)^2}{b^2}=1[/tex]      ...(i)

where, (h,k) is center, if a>b, then 2a is length of major axis and 2b is length of minor axis.

We have,

[tex]\dfrac{(x+4)^2}{25}+\dfrac{(y-1)^2}{16}=1[/tex]      ...(ii)

On comparing (i) and (ii), we get

[tex]b^2=16[/tex]

Taking square root on both sides.

[tex]b=\pm 4[/tex]

Consider only positive value of b because length cannot be negative.

[tex]b=4[/tex]

Now,

Length of minor axis = [tex]2b[/tex]

                                  = [tex]2(4)[/tex]

                                  = [tex]8[/tex]

So, the length of minor axis is 8 units.

Therefore, the correct option is B.

The diagram shows the number of quarts of blood the human heart pumps per minute. A drawing shows an anatomy of human heart. Label reads: Pumps 5 quarts of blood per minute. a. How many quarts of blood does the human heart pump per hour? quarts per hour Question 2 b. How many liters of blood does the human heart pump per minute? liters per minute

Answers

The unitary method is used to find the unit value of any quantity.

(a)The human heart pumps 300 quarts/hour.

(b) The human heart pumps 4.730 liters/minute.

What is Unitary method ?

In order to solve a problem for two different values of a quantity, its unit value is first derived. This method is known as unitary method.

Given that,

Reading on the label is 5quarts/min.

Since, 60 min = 1 hour

Use unitary method to get,

1 min = 1 / 60 hour.

Therefore, pumping of blood in quarts/hour = 5 / (1 / 60)

                                                                         = 5 × 60

                                                                         =  300

Since, 1 quart = 0.946 liter

The pumping of blood in liter/minute = 0.946 × 5

                                                               = 4.730.

Hence, the human heart pumps 300 quarts of blood per hour and 4.730 liter of blood per minute.

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Item 12 You win an online auction for a toy. Your winning bid of $52 is 65% of your maximum bid. How much more were you willing to pay for the toy than you actually paid?

Answers

Answer:

$28

Step-by-step explanation:

Given that:

Value of Winning bid = $52

Winning bid 65% of the maximum bid.

To find:

How much more is the maximum bid from the winning bid ?

Solution:

We are given that the winning bid is 65% of the maximum bid.

Using this percentage value, we need to first find the value of maximum bid and then we need to subtract the value of winning bid from the maximum bid to find the answer.

Let the value of maximum bid = $[tex]x[/tex]

As per question statement:

[tex]65%\ of\ x = 52\\\Rightarrow \dfrac{65}{100} \times x =52\\\Rightarrow 5x = 400\\\Rightarrow x = \dfrac{400}{5}\\\Rightarrow x =\$80[/tex]

Therefore, maximum bid = $80

Our answer is:

$80 - $52 = $28

USE The two Approches, Find
The lCM OF 48, 60,72​

Answers

answer it is right at right write L.C.M

consider the functions f and g ​

Answers

Answer:

its B hope this helps :)

Step-by-step explanation:

Answer:

C. 9

Step-by-step explanation:

Given

f(x) = -x³g(x) = |1/8x - 1|

To find

Value of (g ο f)(4)

Solution

(g ο f)(x) = g(f(x)) = |1/8(-x)³ - 1|, replace x with f(x) in the function g(x)(g ο f)(4) = | 1/8(-4)³ - 1 | = | -8 - 1 | = | - 9| = 9

Correct option is C

Triangle DABC is similar to DEFG.


What is the area of DEFD?





Select the best answer from the choices provided.
A.
250 in.2
B.
125 in.2
C.
10 in.2
D.
5 in.2

Answers

Answer:

is there an image provided?

Step-by-step explanation:

The correct answer I believe is c

An equation for a house's value is y = 7500x + 125000,
where y is the value in dollars and
x is the time in years, starting now.
a) What is the y-intercept of this equation?
b) What does the y-intercept represent?
c) What is the value of the house 2 years from now?
d) At what rate is the house value changing from year to year​

Answers

9514 1404 393

Answer:

  a) 125000

  b) the value now

  c) 140000

  d) 7500 per year

Step-by-step explanation:

a) Comparing the equation to slope-intercept form (y = mx+b) we see that the y-intercept (b) is 125000.

__

b) We presume that "starting now" means x=0 corresponds to "now." The y-intercept is the value when x=0, so the y-intercept represents the value now.

__

c) When x=2, the value is ...

  y = 7500(2) +125000 = 140000

The value of the house is projected to be 140000 two years from now.

__

d) The coefficient of x being 7500 means the value will increase 7500 each year.

Find the constant of proportionality for the table of values.
х
4
5
6
7
у
14
17.5
21
24.5
The constant of proportionality is k =

Answers

Answer:

[tex]\huge\boxed{k=3.5}[/tex]

Step-by-step explanation:

[tex]\dfrac{y}{x}=constant=k[/tex]

Divide the y value by its corresponding x value:

[tex]\dfrac{14}{4}=\dfrac{7}{2}=3.5\\\\\dfrac{17.5}{5}=3.5\\\\\dfrac{21}{6}=\dfrac{7}{2}=3.5\\\\\dfrac{24.5}{7}=3.5[/tex]

If x= -6, which inequality is true?
A-5-3x > 10
B-3-5x < -14
C1 - 2x > 13
D2-x<-3
18-34

Answers

Answer:

B

this is because the way the other 3 are set up it just makes it b

Need help please!!!!!!!

Answers

I believe it’s the last one
Mark brainliest if satisfied

Answer:

First Option {-2 , 0 , 2}

Step-by-step explanation:

A critical point occurs when the derivative is 0 or undefined.

The function in the question is undefined at x = 2 and at x = -2 because if we put x = 2 or x = -2 the denominator becomes 0 hence anything divided by 0 is undefined, and the derivative equals 0 at x = 0 so the critical points are

{-2 , 0 , 2}

Use the quotient rule to find the derivative of the function then equal it to zero

[tex]y=\frac{x^2-1}{x^2-4}\\\\\frac{dy}{dx}=\frac{(x^2-4)(2x)-(x^2-1)(2x)}{(x^2-4)^2}\\\\0=\frac{(x^2-4)(2x)-(x^2-1)(2x)}{(x^2-4)^2}\\\\0=2x^3-8x-2x^3+2x\\0=-6x\\x=0[/tex]

Consider the function f(x) = |x|. Let g(x) = |–4(x – 7)|.

Which shows the graphs of f(x) and g(x)?

A.) On a coordinate plane, y = g (x) opens up and goes through (negative 3, 4), has a vertex at (negative 2, 0) and goes through (0, 7). Y = f (x) opens up and goes through (negative 4, 4), has a vertex at (0, 0), and goes through (4, 4).
B.) On a coordinate plane, y = g (x) opens up and goes through (6, 4), has a vertex at (7, 0) and goes through (8, 4). Y = f (x) opens up and goes through (negative 4, 4), has a vertex at (0, 0), and goes through (4, 4).
C.) On a coordinate plane, y = g (x) opens down and goes through (6, negative 4), has a vertex at (7, 0) and goes through (8, negative 4). Y = f (x) opens up and goes through (negative 4, 4), has a vertex at (0, 0), and goes through (4, 4).
D.) On a coordinate plane, y = g (x) opens up and goes through (negative 8, 4), has a vertex at (negative 7, 0) and goes through (negative 6, 4). Y = f (x) opens up and goes through (negative 4, 4), has a vertex at (0, 0), and goes through (4, 4).

Answers

Answer:

B

Step-by-step explanation:

On edge 2020

The graph of absolute value function f(x) and g(x) are:

On a coordinate plane, y = g (x) opens up and goes through (6, 4), has a vertex at (7, 0) and goes through (8, 4). Y = f (x) opens up and goes through (negative 4, 4), has a vertex at (0, 0), and goes through (4, 4).

The correct answer is an option (B)

What is an absolute value function?

"A function of the form f(t) = |t| ."

What is a graph of  a function?

"It is a set of points on the coordinate plane that follows given function."

For given question,

We have been given an absolute value function f(x) = |x|

and absolute value function g(x) = |-4(x - 7)|

The graph of f(x) = |x| is like a 'V', with its vertex at (0, 0).

Y = f (x) opens up and goes through (-4, 4), has a vertex at (0, 0), and goes through (4, 4)

Consider absolute value function, h(x) = |x - 7|

A function h(x) is the function f(x) is translated horizontally 7 units right.

The graph of h(x) = |x - 7| is like a 'V', with its vertex at (7, 0).

Now consider absolute value function g(x) = |-4(x - 7)|

A function g(x) is the function h(x) is compressed inside by factor 4.

So, the graph of y = g (x) opens up and goes through (6, 4), has a vertex at (7, 0) and goes through (8, 4).

Therefore, the graph of absolute value function f(x) and g(x) are:

On a coordinate plane, y = g (x) opens up and goes through (6, 4), has a vertex at (7, 0) and goes through (8, 4). Y = f (x) opens up and goes through (negative 4, 4), has a vertex at (0, 0), and goes through (4, 4).

The correct answer is an option (B)

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Given z1=9+9sqrt(3)i and z2=2+sqrt(3)i what is z2-z1
This is urgent will give brainliest!

Answers

Answer:

[tex] = 2 + \sqrt{3} i - (9 + 9 \sqrt{3} i) \\ = (2 - 9) + ( \sqrt{3} - 9 \sqrt{3} )i \\ = - 7 + (1 - 9) \sqrt{3} i \\ = - 7 - 8 \sqrt{3} i[/tex]

The required simplification of z2-z1 = -7-8sqrt(3)i.

z1=9+9sqrt(3)i
z2=2+sqrt(3)i
z2-z1 to be determined.

What is a complex number?

A complex number is defined as the sum of a real and imaginary numbers.

Here,
[tex]z_1=9+9\sqrt(3)i\\z_2=2+\sqrt(3)i\\\\z_2-z_1 = 2+\sqrt(3)i-(9+9\sqrt3i\\z_2-z_1 = 2-9+\sqrt(3)i-9\sqrt3i\\z_2-z_1 = -7-8\sqrt(3)i[/tex]

Thus, the required simplification of z2-z1 = -7-8sqr(3)i.


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goran just bought a refrigerator for $851. He paid $255.20 in down payment and will pay the rest in 6 equal installments. How much does he need to pay for each installment

Answers

Answer:

106.13

Step-by-step explanation:

855-255.2=636.8

636.8/6=106.13333

Identify the domain and range of the function.

Answers

Answer:

Domain is all real numbers, and range is all integers.  (D)

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