The table shows the number of miles that a car travels and the gallons of gasoline it uses to go those distances.

Number of Miles Gallons of Gasoline
115 5
230 10
345 15
How do the unit rates of miles per gallon compare for these two vehicles?

The van travels the same number of miles per gallon as the car.
The van travels 23 more miles per gallon than the car.
The van travels 5 more miles per gallon than the car.
The car travels 5 more miles per gallon than the van.

Answer:

73 dimes and 133 nickels

Step-by-step explanation:

$13.95 = 1395 cents

5n + 10d = 1395     (since each nickel is 5 cents and each dime is 10 cents)

5n = 1395 - 10d      (subtract 10d from both sides to solve for n)

n = 279 - 2d

n + d = 206

279 - 2d + d = 206   (substitute n with the previous expression)

279 - d = 206         (add variable d and -2d)

-d = -73        (solve for d and divide both sides by negative 1)

d = 73          

n + 73 = 206 (solve for n and subtract both sides by 73)  

n = 133

Answer:

triangular prism

Step-by-step explanation:

xoxo <3 hope this helped!

Answer:

Angle CDB = 32

Step-by-step explanation:

Here, we want to find the measure of CDB

Mathematically;

angle DCB = 90

This is because angle at the center is twice the angle at the circumference

Also;

angle CAD = angle CBD = 58

This is because they are angles in the same segment

Furthermore;

CDB + 90 + 58 = 180

This is because sum of angles in a triangle is 180

CDB = 180-90-58

CDB = 32

Answer:

2

Step-by-step explanation:

Total number of cards = 65

she makes the same number of cards everyday for 7 days

Number of days = 7

Cards per day = 65 / 7 = The result is 9 with a remainder of 2.

This means, she makes 9 cards per day for 7 days. Then on the last day she is left with 2 cards to make.

Answer:

Step-by-step explanation:

Quadrilaterals

Square

Rectangle

Rhombus

Trapezoid

Parallelogram

First we need to turn 3 1/3 into an improper fraction:

3 1/3 = 10/3

Because we are dividing, multiply 57 my the reciprocal (the faction flipped upside down) of 10/3:

57 x 3/10

Which can also be written as:

57/1 x 3/10

Now we just multiply:

171/10

Therefore 171/10 is ur answer

Hope this helped :)

If this answered ur question can you pls give me brainiest

Answer:

-20

Step-by-step explanation:

Answer:

It's -20F :)

Step-by-step explanation:

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Answer:

12

Step-by-step explanation:

Legs of 45-45-90 are equal so 4x-12=x+6.

3x=18, x=6

Plug back in and the length is 12

Answer:

150

Step-by-step explanation:

1/2 multiply base times hieght

Answer:

150

Step-by-step explanation:

given in the pic above

in the pic its 15×10

i have written mistakely 15×12

Answer:

519

Step-by-step explanation:

or 519.125

The maximum amount of profit the company can make, to the nearest dollar should be considered as the $519.

Since the amount of profit made expressed as [tex]y=-2x^2+105x-859[/tex]

Now

At maximum profit, dy/dx = 0

So,

dy/dx = -4x + 105

0 = -4x + 105

4x = 105

x = 105/4

x = 26.25

Now

[tex]y=-2x^2+105x-859\\\\y=-2(26.25)^2+105(26.25)-859[/tex]

y = - 1,378.125+2,756.25-859

y = 519.125

Hence the maximum amount of profit the company can make is $519.

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Answer:

x3-6x-9=0

Step-by-step explanation:

x=-3

-27+18-9=0

0=0

Answer:

cos α = 8/17

Apply Pythagoras theorem for triangle ,

Let get unknown side of triangle is y

17^2 = 8^2 + y^2

17^2 - 8^2 =  y^2

225 = y^2

y = sqrt(225)

y = 15

tan α = 15/8

Step-by-step explanation:

Answer:

The correct answer is 8/15 on edg

Answer:

c

Step-by-step explanation:

just took the quiz

Answer:

C

Step-by-step explanation:

Edge2021

The equation of line is solved and Health Club B costs $ 7 less in monthly membership fees that Health Club A

The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept

And y - y₁ = m ( x - x₁ )

y = y-coordinate of second point

y₁ = y-coordinate of point one

m = slope

x = x-coordinate of second point

x₁ = x-coordinate of point one

The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Given data ,

Let the equation of line be represented as A

Now , the value of A is

Let the first point be P ( 3 , 106 )

Let the second point be Q ( 6 , 187 )

Now , the slope of the line is m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Substituting the values in the equation , we get

Slope m = ( 187 - 106 ) / 3

Slope m = 27

Now , the equation of line is y - y₁ = m ( x - x₁ )

Substituting the values in the equation , we get

y - 106 = 27 ( x - 3 )

y - 106 = 27x - 81

Adding 106 on both sides , we get

y = 27x + 25   be equation (1)

Now , let the equation of line be represented as B

And , the value of B is

Let the first point be R ( 3 , 105 )

Let the second point be S ( 6 , 165 )

Now , the slope of the line is m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Substituting the values in the equation , we get

Slope m = ( 165 - 105 ) / 3

Slope m = 20

Now , the equation of line is y - y₁ = m ( x - x₁ )

Substituting the values in the equation , we get

y - 105 = 20 ( x - 3 )

y - 105 = 20x - 60

Adding 105 on both sides , we get

y = 20x + 45   be equation (2)

Now , when x = 1

Substitute the value of x = 1 in equation (1) and equation (2) , we get

y₁ = 27 + 25 = $ 52

y₂ = 20 + 45 = $ 65

So , health club B costs $ 7 less than health club A every month

Hence , the equation of lines is solved

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Given:

Point on straight line = (-6,4)

Gradient = -2

To find:

The equation of the line.

Solution:

Point-slope form: If a line passes through the point [tex](x_1,y_1)[/tex] with slope m, then the equation of the line is

[tex]y-y_1=m(x-x_1)[/tex]

The line passes through the point (-6,4) with slope -2. So, the equation of the line is:

[tex]y-4=-2(x-(-6))[/tex]

[tex]y-4=-2(x+6)[/tex]

[tex]y-4=-2x-12[/tex]

Adding 4 on both sides, we get

[tex]y-4+4=-2x-12+4[/tex]

[tex]y=-2x-8[/tex]

Therefore, the equation of the line is [tex]y=-2x-8[/tex].

okay here you goo

Answer:

are you in a rush or can i do it in like 5 mins

Answer:

The answer is D

Step-by-step explanation:

Answer:

chicken wing chicken wing hot dog and baloney chicken and macaroni chillen with my homie

Step-by-step explanation:

Answer:

NO

Step-by-step explanation:

Answer: I need more to solve this

Step-by-step explanation:

Answer:

AB equals 4.535 (4.53478)

This problem is just try and error.

First we try number 2.5 since its the average of all the answers.

2.5^2=6.25

This is smaller than 7 so the answer is either 2.6 or 2.8

Now let's try 2.7

2.7^2=7.29

Which is bigger than 7 and that means the correct answer is 2.6 :)

Answer:

3

Step-by-step explanation:

3x+1=10 subtract 1 to both sides

3x+1-1=10-1

3x=9 divide both sides by three

3x/3=9/3

x=3

Answer:

1/4

Step-by-step explanation:

The characteristics of the sinusoidal function can be found from the given

graph of the function.

The sinusoidal function is the sine function that has the following general equation;

a = The amplitude

b = Angular frequency

h = The horizontal shift

k = The vertical shift

The minimum value of the sinusoidal function.

From the given graph, we have;

The amplitude, a = 2

The period, T = 10 = 2·π/b

b = π/5

The vertical shift, k = 3

The horizontal shift = 0

The minimum value of the function = k - a

Therefore;

Learn more about sinusoidal functions here:

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Answer:

[tex]\displaystyle 1[/tex]

Step-by-step explanation:

[tex]\displaystyle \boxed{y = 2cos\:(\frac{\pi}{5}x - \frac{\pi}{2}) + 3} \\ \\ y = Acos(Bx - C) + D \\ \\ Vertical\:Shift \hookrightarrow D \\ Horisontal\:[Phase]\:Shift \hookrightarrow \frac{C}{B} \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \\ Amplitude \hookrightarrow |A| \\ \\ Vertical\:Shift \hookrightarrow 3 \\ Horisontal\:[Phase]\:Shift \hookrightarrow \frac{C}{B} \hookrightarrow \boxed{2\frac{1}{2}} \hookrightarrow \frac{\frac{\pi}{2}}{\frac{\pi}{5}} \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \hookrightarrow \boxed{10} \hookrightarrow \frac{2}{\frac{\pi}{5}}\pi \\ Amplitude \hookrightarrow 2[/tex]

OR

[tex]\displaystyle \boxed{y = 2sin\:\frac{\pi}{5}x + 3} \\ \\ y = Asin(Bx - C) + D \\ \\ Vertical\:Shift \hookrightarrow D \\ Horisontal\:[Phase]\:Shift \hookrightarrow \frac{C}{B} \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \\ Amplitude \hookrightarrow |A| \\ \\ Vertical\:Shift \hookrightarrow 3 \\ Horisontal\:[Phase]\:Shift \hookrightarrow 0 \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \hookrightarrow \boxed{10} \hookrightarrow \frac{2}{\frac{\pi}{5}}\pi \\ Amplitude \hookrightarrow 2[/tex]

You will need the above information to help you interpret the graph. First off, keep in mind that although this looks EXACTLY like the sine graph, if you plan on writing your equation as a function of cosine, then there WILL be a horisontal shift, meaning that a C-term will be involved. As you can see, the photograph on the right displays the trigonometric graph of [tex]\displaystyle y = 2cos\:\frac{\pi}{5}x + 3,[/tex] in which you need to replase "sine" with "cosine", then figure out the appropriate C-term that will make the graph horisontally shift and map onto the sine graph [photograph on the left], accourding to the horisontal shift formula above. Also keep in mind that the −C gives you the OPPOCITE TERMS OF WHAT THEY REALLY ARE, so you must be careful with your calculations. So, between the two photographs, we can tell that the cosine graph [photograph on the right] is shifted [tex]\displaystyle 2\frac{1}{2}\:units[/tex]to the left, which means that in order to match the sine graph [photograph on the left], we need to shift the graph FORWARD [tex]\displaystyle 2\frac{1}{2}\:units,[/tex]which means the C-term will be positive, and by perfourming your calculations, you will arrive at [tex]\displaystyle \boxed{2\frac{1}{2}} = \frac{\frac{\pi}{2}}{\frac{\pi}{5}}.[/tex]So, the cosine graph of the sine graph, accourding to the horisontal shift, is [tex]\displaystyle y = 2cos\:(\frac{\pi}{5}x - \frac{\pi}{2}) + 3.[/tex]Now, with all that being said, in this case, sinse you ONLY have a graph to wourk with, you MUST figure the period out by using wavelengths. So, looking at where the graph approximately hits [tex]\displaystyle [-10, 3],[/tex]from there to the y-intercept of [tex]\displaystyle [0, 3],[/tex]they are obviously approximately [tex]\displaystyle 10\:units[/tex]apart, telling you that the period of the graph is [tex]\displaystyle 10.[/tex]Now, the amplitude is obvious to figure out because it is the A-term, but of cource, if you want to be certain it is the amplitude, look at the graph to see how low and high each crest extends beyond the midline. The midline is the centre of your graph, also known as the vertical shift, which in this case the centre is at [tex]\displaystyle y = 3,[/tex]in which each crest is extended two units beyond the midline, hence, your amplitude. So, no matter how far the graph shifts vertically, the midline will ALWAYS follow.

**Now, the minimum value is the lowest possible value the graph touches, and in this case, the graph's lowest peaks cycle around [tex]\displaystyle y = 1,[/tex]therefore the minimum of his sinusoidal function is [tex]\displaystyle 1.[/tex]

I am delighted to assist you at any time.