Find the diameter of the circle.
9 cm
The diameter of the circle is
The solution is I
centimeters.

The number of cubes of edge length 1/3 is 27 and the volume of the cube is 1 cubic inches

From the question, we have the following parameters that can be used in our computation:

The volume of a cube is the cube of its edge length

This means that the volumes are

Volume = Edge length³

So, we have

Volume of cube 1 = (1/3 inch)³ = 1/27 cubic inches

Volume of cube 2 = (1 inch)³ = 1 cubic inch

The number of cubes is then calculated as

Number of cubes = Volume of cube 2/Volume of cube 1

This gives

Number of cubes = 1/(1/27)

Number of cubes = 27

Here, we have

Edge length of cube = 1 inch

The volume of a cube is the cube of its edge length

This means that the volumes are

Volume = Edge length³

So, we have

Volume of cube = (1 inch)³ = 1 cubic inch

Read more about volume at

https://brainly.com/question/463363

#SPJ1

Complete question

a. How many cubes with an edge length of 1/3 inch are needed to build a cube with an edge length of 1 inch?

b. What is the volume, in cubic inches, an edge length of 1 inch?

Answer:

[tex]\textsf{Line \#2}: \quad y=x-5[/tex]

[tex]\textsf{Line \#3}: \quad y=\dfrac{1}{4}(x-1)-4[/tex]

[tex]\textsf{Line \#4}: \quad y=-8x-29[/tex]

Step-by-step explanation:

Given points:

To find the equations for each of the lines:

Points:

Find the slope:

[tex]\implies \textsf{slope}\:(m)=\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{-4-1}{1-6}=\dfrac{-5}{-5}=1[/tex]

Substitute the found slope and one of the points into the point-slope formula:

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

[tex]\implies y-1=1(x-6)[/tex]

[tex]\implies y=(x-6)+1[/tex]

[tex]\implies y=x-5[/tex]

Points:

Find the slope:

[tex]\implies \textsf{slope}\:(m)=\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{-5-(-4)}{-3-1}=\dfrac{-1}{-4}=\dfrac{1}{4}[/tex]

Substitute the found slope and one of the points into the point-slope formula:

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

[tex]\implies y-(-4)=\dfrac{1}{4}(x-1)[/tex]

[tex]\implies y+4=\dfrac{1}{4}(x-1)[/tex]

[tex]\implies y=\dfrac{1}{4}(x-1)-4[/tex]

Points:

Find the slope:

[tex]\implies \textsf{slope}\:(m)=\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{3-(-5)}{-4-(-3)}=\dfrac{8}{-1}=-8[/tex]

Substitute the found slope and one of the points into the point-slope formula:

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

[tex]\implies y-(-5)=-8(x-(-3))[/tex]

[tex]\implies y+5=-8(x+3)[/tex]

[tex]\implies y=-8(x+3)-5[/tex]

[tex]\implies y=-8x-24-5[/tex]

[tex]\implies y=-8x-29[/tex]

Answer:

Step-by-step explanation:

Answer: X = 3

Step-by-step explanation:

3x + 6 = 15

6x - 3 = 15

5 times 3 = 15

The equation that models the given situation is; 175x - 100x + 47750 = 50500 - 200x

The number of months it will take the populations to be equal is 10 months

Let us suppose after x months the population of both town's will be equal.

From the given directions, we have;

The population of the first town after x months is given by;

175x - 100x + 47750

The population of the second town after x months is  given by;

50500 - 200x

Now, In order to the population of the both town's to be equal, we have;

175x - 100x + 47750 = 50500 - 200x

275x = 50500 - 47750

x = 2750/275

x = 10

Read more about Equation model word problem at; https://brainly.com/question/21405634

#SPJ1

Answer:

Rs 45,000

Step-by-step explanation:

The profit is the difference between the selling price and the cost price of the car. In this case, the profit is 10% of the selling price, or 10% * Rs 50,000 = Rs 5,000.

Therefore, the cost price of the car is the selling price minus the profit, or Rs 50,000 - Rs 5,000 = Rs 45,000. This is the amount that the seller paid for the car, before adding the profit.

Answer:

Step-by-step explanation:

Answer:

card worth $20

the link to the graph down in the below

Step-by-step explanation:

The option that describes the graph of the proportional  relationship is the option;

A proportional relationship is one in which one variable in the relationship is a constant multiple of the other variable.

The table of values can be presented as follows;

x; 15 9 21

y; 5  3  7

The domain of the function is therefore;  15, 9, 21

The range of the function is therefore; 5, 3, 7

The coordinates of points on the graph of the  function is therefore;

(15, 5), (9, 3), (21, 7)

The relationship between the xi and y-values of the function is therefore;

5/15 = 3/9 = 7/21 = 1/3

The constant of proportionality in the relationship is 1/3

The relationship is therefore a proportional relationship.

The characteristics of the graph of a proportional relationship includes;

The graph passes through the origin, (0, 0).

The correct option that therefore describes the graph is the option;

A line passes through the point (0, 0), and continues through the point (15, 5)

Learn more about the graph of proportional relationship equations here:

https://brainly.com/question/2575222

#SPJ1

The circumference of a circle with one-third the curvature of a circle of radius 1 is 18.85 units

What is circumference ?

The perimeter of a circle is known as its circumference. It is the length of the circle's whole perimeter. The diameter of a circle and the constant are multiplied to get the circumference of the circle. This measurement of a circle's circumference is necessary for someone to cross a circular park or for a circle-shaped table to have a border. The units of the circumference are the same as the units of length and it is a linear value.

If a circle has a radius of 1,

the curvature is inversely proportional to this

So, the curvature= 1

A circle with a curvature of 1/3 :

radius=3

Thus, the circumference of the circle  =  2 *π * radius

                                                               =  2*π * 3

                                                               =  6π

                                                               ≈ 18.85 units

To learn more about the circumference from the given link

https://brainly.com/question/20489969

#SPJ1

Answer:

distributive property

Answer: -1.5625

Step-by-step explanation:

5/6/-2/3 - 1.25/1/4 = -25/16 = -1 9/16 = -1.5625

Answer:

-118 feet

Step-by-step explanation:

[tex]-342+224=-118[/tex]

Answer:

All beds come in different shapes and sizes but for example a queen sized mattress is 60” x 80”

Step-by-step explanation:

when tou have a problem you can saw me okey

Answer:

Step-by-step explanation:

Yes, it is a function.

The reason for this is because it passes what is called the Vertical Line Test, notice how if you draw a completely straight line down, it will only make contact with the graph one time. It is hard to tell, but even though it looks like the graph stops at x=±3, the graph is actually approaching the values ever so slightly, therefore maintaining the conditions for the vertical line test.

The answer is A. Yes.

Answer with step-by-step explanation:

Let the width of the rectangle be x.

Given that,

length ⇒ 4

width ⇒ x + 4 ( Because, the rectangle's width is 4 more than the length.)

Perimeter ⇒ 36cm

The formula to find the perimeter of rectangle is:

P = 2 ( l + w )

Now to find the value of x replace P, l & w with 36, 4 & (x + 4) with respectively.

P = 2 ( l + w )

36 = 2 ( 4 + x + 4 )

36 = 2 ( x + 8 )

Solve the brackets.

36 = 2x + 16

Substract 16 from both sides.

36 - 16 = 2x

20 = 2x

Divide both sides by 2.

10 = x

And now let us find the exact dimensions of the rectangle.

Length = 4 cm

Width = x + 4 = 10 + 4 = 14 cm

Answer:

Step-by-step explanation:

77*5=385

Answer:

(40, 100) (x,y) Also, In the image below

Step-by-step explanation:

I used this website to do this. It is a very accurate website I used it all the time in algebra. So it should be right

I hope this helps!!!

Please mark Brainliest :)

Answer:

-3x+-27

-3 multiplied by x=-3x

-3x9=-27

The category which has the greatest joint frequency is sugar cookies with a frequency of frosting and no frosting as 56 and 120 and a joint frequency of 176

Frosting No frosting Total

sugar cookies 56 120 176

Chocolate cookie 66 70 136

Red velvet 38 50 88

Total 160 240 400

Chocolate cookies with frosting = Total chocolate cookies - chocolate cookies with no frosting

= 136 - 70

= 66

Red velvet cookies with frosting = Total cookies with frosting - (Chocolate cookies with frosting + sugar cookies with frosting)

= 160 - (56 + 66)

= 160 - 122

= 38

Total red velvet cookies = Red velvet cookies with frosting + Red velvet cookies with no frosting

= 50 + 38

= 88

Total cookies with no frosting = Total cookies - Total cookies with frosting

= 400 - 160

= 240

Total sugar cookies with no frosting = Total cookies with no frosting - (chocolate cookies with no frosting + Red velvet cookies with no frosting)

= 240 - (70 + 50)

= 240 - 120

= 120

Total sugar cookies = Total sugar cookies with no frosting + Total sugar cookies with frosting

= 120 + 56

= 176

In conclusion, the highest joint frequency is sugar cookies.

Read more on joint frequency:

https://brainly.com/question/16095669

#SPJ1

The weight of the  adult harbor seal is 300 pounds.

percentage, a relative value indicating hundredth parts of any quantity.

Given,

An adult harbor seal can eat food up to 6% of its body weight.

An adult harbor seal eats 18 pounds of food

We need to find  the adult harbor seal weigh

Let x be the weigh of food

6% of x= 18 pounds

Convert 6% to decimal

6/100=0.06

0.06x=18

Divide both sides by 0.06

x=300

Hence, the weight of the  adult harbor seal is 300 pounds.

To learn more on Percentage click:

https://brainly.com/question/28269290

#SPJ1

The new equation of graph will be-

For the stated conditions.

The equation of the graph is given as-

y = 5ˣ

Part a: f(x) is shifted 4 units downward,

y = 5ˣ - 4, is the new image location.

Part b:  f(x) is shifted 5 units left,

, y = 5ˣ⁻⁵, change in the y axis with negative sign.

Part c: f(x) is reflected about the y axis.

y = 5⁻ˣ, x coordinates will change, keeping the y axis same.

To know more about the translation, here

https://brainly.com/question/1574635

#SPJ1

Answer:

C is point of the dilation with a scale factor to 2

D is the point of the dilation with a scale factor of 1/3

Step-by-step explanation:

C is twice as far from A as B.

D is 1/3 the distance from A when compared to B

Answer:

351 pages

Step-by-step explanation:

In order to figure this out, we need to know what 114 plus 3 is.

114 + 3 = 117

Now that we have 117, we know that this is equal to 1/3 of the book.

In order to find out the total pages in this book, we need to multiply 117 by 3.

117 × 3 = 351

There are 351 pages in Johns book.

Answer:30 1/8

Step-by-step explanation:

Answer:5/2 miles or 4 and half mile

Step-by-step explanation:

1/10 times 25

25/10

5/2

Answer:

Step-by-step explanation:

the answer is 2 1/2 miles

16.82 % and 2.83% of the original drug dose remain in 36 hours and 72 hours respectively.

What is half-life?

Half-life is a characteristic unit for the exponential decay equation and is constant across the lifespan of an exponentially decaying quantity.

Given, the half-life of a drug(h) = 14 hours

The first condition, time duration (t) = 36 hours

Then, the half-life of the substance can be calculated by:

    [tex]A = A_{0} * (1/2)^{\frac{t}{h} }[/tex]

or, [tex]A = A_{0} * (1/2)^{\frac{36}{14} }\\A = A_{0} * (0.1682)\\[/tex]

16.82 % of the original drug dose remains in 36 hours

Hence, 16.82 % of the original drug dose remains in 36 hours

The second condition, time duration (t) = 72 hours

Then, the half-life of the substance can be calculated by:

 [tex]A = A_{0} * (1/2)^{\frac{t}{h} }[/tex]

[tex]A = A_{0} * (1/2)^{\frac{72}{14} }\\A = A_{0} * (0.0283)\\[/tex]

2.83 % of the original drug dose remains in 72 hours

Hence, 2.83 % of the original drug dose remains in 72 hours

To learn more about half-life

https://brainly.com/question/9654500

#SPJ1