A certain machine is to contain two wheels, one of radius 2 inches and one of radius 8 inches. The manufacturer of this machine needs to produce a belt that will fit snugly around the two wheels, as shown in the diagram below. How long should the belt be?

Answer:

a) 83

b) mean and mode are both 83

Step-by-step explanation:

a) mean is the average. so add all the numbers and divide by the number of numbers.

88 + 73 + 81 + 83 + 79 + 94 + T = 83

7

b) median - put the numbers in numerical order, smallest to largest, what is the middle number (4th number) 73, 79, 81, 83, 83, 88, 94

mode - which number shows up most frequently?

Answer:

1) D

2) A

3) C

4) B

5) B

6) C

Step-by-step explanation:

1) V = Bh

V = πr² (h)

V = π (7²)(5)

V = 49π (5)

V = 245π

V ≈ 769.3

2) V = 1/3 Bh

V = 1/3 (12*12)(9)

V = 1/3 (144)(9)

V = 1/3 (1296)

V = 432

3) V = 4/3πr³

V = 4/3 π (4.5³)

V = 4/3 π (91.125)

V = 121.5π

V ≈ 381.51

4) 3 pairs of rectangles

2(16)(5) = 2(80) = 160

2(16)(11) = 2(176) = 352

2(11)(5) = 2(55) = 110

Add together 160 + 352 + 110

622

5) Two triangles 3 rectangles

Triangle

2(1/2)(18)(5) = 18*5 = 90

Rectangles

18*7 = 126

5*7 = 35

18.7*7 = 130.9

Add together 90 + 126 + 35 + 130.9 = 381.9

C) SA = πr² + πrl --> l is the slant height

SA = π (8²) + π (8)(17)

SA = 64π + 136π

SA = 200π

SA ≈ 628

DACBBC

Starting with 60, divide by 5 --> 12

add by 13 --> 25

multiply by 3 --> 75

subtract by 11 --> 64

cube root 64 --> 4

Multiply 60 --> 240

CODE: 240

The amount of three-dimensional space enclosed by a closed surface is known as volume. The code is 240.

The amount of three-dimensional space enclosed by a closed surface is expressed as a scalar quantity called volume.

1. The volume of a cylinder with a radius of 7 ft and a height of 5 ft is,

[tex]\rm \text{Volume of Cylinder} = \pi r^2 h = \pi \times 49 \times 5=769.7\ ft^3[/tex]

2. The Volume of the Pyramid with a side 12m, while the height is 9m is,

[tex]\rm \text{Volume of Pyramid} = \dfrac13 \times (\text{Area of square}) \times height = \dfrac13 \times 12^2 \times 9 = 432\ m^3[/tex]

3. The volume of the sphere with a diameter of 9 yds, can be written as,

[tex]\rm \text{Volume of sphere}=\dfrac{4}{3} \pi r^3=\dfrac43 \times \pi \times (\dfrac{9}{2})^3=381.7\ yd^3[/tex]

4. The surface area of the cuboid with a length of 16 cm, width of 5 cm, and height of 11 cm can be written as,

[tex]\rm \text{Surface area of Cuboid} = 2[(L\times W)+(W\times H)+(L\times H)][/tex]

[tex]\rm \text{Surface area of Cuboid} = 2[(16\times 5)+(5\times 11)+(16\times 11)] = 622\ cm^2[/tex]

5. The surface area of the given figure can be written as,

Surface Area of figure = 2(Area of the triangle) + Area of slant side + Area of rectangle +  Area of base

[tex]\rm \text{Surface Area of figure} = (\dfrac{2 \times 5 \times 18}{2}) + (18.7 \times 7)+(18 \times 7) + (5 \times 7) = 381.9\ in^2[/tex]

6. The surface area of a cone is given as,

[tex]\text{Surface Area of Cone}=\pi r(\sqrt{h^2+r^2})+\pi r^2[/tex]

The radius of the cylinder is 8 mm while the height is 15 mm, therefore, the surface area can be written as,

[tex]\rm\text{Surface Area of Cone}=\pi \times 8(\sqrt{15^2+8^2})+\pi \times 8^2 = 628.3\ mm^2[/tex]

Now, if we fill the results accordingly in fill in the blanks we will get,

Starting with 60, divide by 5

then add by 13

then multiply by 3

and subtract by 11

Now, cube root your result 64

Multiply the starting number60.

Thus, the code is 240.

Learn more about Volume:

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Answer:

x = -1

-1 + 6 = 5

Since its a negative, you're actually subtracting it from 6.

Answer:

The vertex is: [tex](\frac{5}{2},-\frac{1}{4})[/tex]

Answer:

Step-by-step explanation:

1. n + y = 98

2. n = 76 - t

Answer:

11 and 87

Step-by-step explanation:

Let's create an equation to solve this. (I know that it is just subtraction, but equations are great ways to understand concepts.)

We can represent each number as "n"

In that case, we have:

n + (n - 76) = 98

Grouping n's:

2n - 76 = 98.

Adding 76 to both sides:

2n = 174

Dividing by 2:

87.

Plug-and-chug:

87 + (87 - 76) = 98

Thus, our final answer is that one number is 11, the other 87.

Answer:

46.5 inches

Step-by-step explanation:

if you plug all the numbers in and then change them into simple shapes, like a square, rectangle, and triangle, you can just add the areas to those shapes and add them together.

The area of the object is: 61.5 Sq.in

What is the Area of the Composite figure?

The formula for area of a rectangle is:

Area = Length * Width

Formula for the Area of a  Trapezium is:

Area = ¹/₂ * (sum of parallel sides) * height

Area of composite figure is: (¹/₂ * (W + Y - U) * (V - X - Z)) + [(X - Z) * (Y - U)] + (Y * Z)

Area of composite figure is: (¹/₂ * (8 + 8 - 3) * (5 - (6 - 4)) + [(6 - 4) * (8 - 3)] + (8 * 4)

= 19.5 + 10 + 32

= 61.5 Sq.in

To plot the parabola y = -x² + 2x + 48, find the vertex at (1, 49), the roots at -6 and 8, and two additional points at (0, 48) and (2, 48). Then, plot these points on a graph and sketch the parabola.

To plot the given parabola y = -x² + 2x + 48, we must follow several steps:

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Answer:

Allen- 144 cards

Jane- 288 cards

Bob- 36 cards

Step-by-step explanation:

Here's what we know:

a = 4b (Allen has 4 times Bob's cards)

j = 2a (Jane has twice Allen's)

a + j = 432 (Allen and Jane have 432 cards all together)

Start with substituting:

4b + 2a = 432

4b + 2(4b) = 432

Distribute:

4b + 8b = 432

Simplify:

12b = 432

Divide both sides by 12:

b = 36

To find how much Allen has just multiply 36 times 4.

a= 144 cards

To find how much Jane has multiply 144 times 2.

j= 288 cards

Answer:

156

312 and

39

Step-by-step explanation:

Let Allen be A , Jane be J and Bob be B

Allen has 4 times as Bob

So

A = 4B

Jane has twice as Allen

So

J = 2A

Together, Allen and Jane has 468 cards

A + J = 468

Substitute 2A for J in the third equation.

We have

A + J = 468

A + 2A = 468

3A = 468

Divide both sides by 3

3A/3 = 468/3

A = 156

Recall

A = 4B

Therefore

156 = 4B

Divide both sides by 4

156/4 = 4B/4

39 = B

B = 39

Also,

J = 2A

J =2 x 156

J = 312

Allen has 156 cards

Jane has 312 cards and

Bob has 39 cards

Answer:

48

Step-by-step explanation:

36 = 3/4x

Divide by three then multiply by four to get x instead of 3/4x

36/3 = 12 x 4 = 48

Answer:

$48

Step-by-step explanation:

She has saved 36 which is 3/4

3/4=36/x

36/3=12

12*4=48

Answer:

Number is "n"

(.40 * n) -10 = -4

Step-by-step explanation:

The phrase 'ten less than 40% of a number is -4' can be translated into a mathematical equation as 0.4x - 10 = -4. By using the rules of algebra, we can simplify this equation to find that the unknown number x equals 15.

The question deals with an equation involving the term 'ten less than 40% of a number'. This phrase can be translated into a mathematical equation as follows: 0.4x - 10 = -4, where x is the unknown number we're trying to find.

Following the rules of algebra, you would want to simplify this equation as much as possible. Let's add 10 to both sides of the equation, which gives us 0.4x = 6. To isolate 'x', we divide both sides of the equation by 0.4, which gives us x = 6 / 0.4. When you perform this division, you find that x = 15.

Thus, the number that 'ten less than 40% of' equals -4 is 15.

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Answer:

7(2+10)

14+10

=26 is the perimeter

S=7

Hope this helped

Step-by-step explanation:

Answer:

P=7+10+s

The perimeter is the length of all sides, so add 7, 10, and s to get p!

Hope this comes to help someone!

Answer:

About 1.94 seconds

Step-by-step explanation:

The quadratic equation gives the height of the squirrel from its starting position, which is 60 feet above ground.

The equation is:

[tex]h=-16t^2+60[/tex]

To find time it takes to "drop" 60 feet, means the ground level, where height is equal to 0.

Or, h = 0

We substitute h = 0 into the equation and solve for t:

[tex]h=-16t^2+60\\0=-16t^2+60\\16t^2=60\\t^2=3.75\\t=\sqrt{3.75}\\t=1.94[/tex]

So, it takes the squirrel about 1.94 seconds to drop 60 feet

It takes the squirrel about [tex]\( \boxd{1.94} \)[/tex] seconds to drop 60 feet.

Step 1

Given the equation [tex]\( h = -16t^2 + 60 \)[/tex] where  h is the height in feet and t is the time in seconds.

To find the time it takes for the squirrel to drop 60 feet (reaching the ground), we set [tex]\( h = 0 \)[/tex] and solve for t :

[tex]\[ -16t^2 + 60 = 0 \][/tex]

Add [tex]\( 16t^2 \)[/tex] to both sides:

[tex]\[ 16t^2 = 60 \][/tex]

Step 2

Divide both sides by 16:

[tex]\[ t^2 = \frac{60}{16} \]\[ t^2 = 3.75 \][/tex]

Take the square root of both sides:

[tex]\[ t = \sqrt{3.75} \]\[ t \approx 1.94 \][/tex]

So, it takes the squirrel about [tex]\( \boxd{1.94} \)[/tex] seconds to drop 60 feet.

Answer:

b=0.46005 approx

Step-by-step explanation:

ugh its to messy just solve it like a quadratic

The population for Lin's question is all teenagers in the United States who use smartphones. Selection bias and the method of surveying can cause data variations, and the sample size must be large enough and representative to obtain accurate findings.

The population for Lin's question regarding how many games teenagers in the United States have on their phones is all teenagers in the United States who own and use smartphones. It is implied that Lin is interested in the averages or trends among this specific age group with regard to digital game ownership.

When considering data collection, several factors can cause variations in the results. For instance, adolescents' access to different technologies, social and economic factors, and varying interests can all influence the number of games they have on their phones. Additionally, methods of surveying can affect accuracy, such as if the respondents are primarily contacted by landline or mobile phone, reflecting different demographic characteristics. The trend towards mobile phone usage as opposed to landlines, selection bias, and the changing communication preferences of younger generations all emphasize the need for researchers to employ diverse methods in collecting data to ensure representativeness of the surveyed population. Moreover, the sample size and how well it represents the overall population is critical in obtaining reliable results.

The sufficiency of the sample size depends on the population being studied. If the sample consists solely of students from one school, it may not be representative of the wider population of teenagers in the United States. However, when the population is as large and diverse as school-aged children and young adults across the entire United States, a much larger and varied sample would be needed to appropriately reflect the population and offer meaningful conclusions.

Answer: A. 6x14

Step-by-step explanation:

6(11+3)

6x11 = 66

6x3= 18

66+18= 84

6x14= 84

Use distributive property: a(b + c) = ab + ac

Steps to solve:

6(11 + 3)

~Use distributive property

(6 * 11) + (6 * 3)

~Simplify

66 + 18

~Add

84

Lets check each option to see which one equals 84.

Option A:

6 * 14

84

We don't need to check anymore options since Option A is correct.

Best of Luck!

Answer:

$8.75

Step-by-step explanation:

35 * .25 = $8.75

She needs a 94.

72+ 75 + 79 + 94 = 320

320 ÷ 4 = 80

Answer:

94%

Step-by-step explanation:

Answer:

15.3

Step-by-step explanation:

-2.7+18=15.3

Answer:

Step-by-step explanation:

When c=-2.7, we substitute the value of c into the expression so we can add

c+18=-2.7+18=18-2.7=15.3

Answer:

Here is the correct system of equations:

700x + 375y = 15,000

x + y = 27

The system of equations that models how many of each type of ticket the business should purchase is 700x + 375y = 15,000; x + y = 27. option D

How to write system of equation?

Let

x = the number of business class.

y = the number of economy

x + y = 27 (1)

700x + 375y = 15000 (2)

Multiply (1) by 700

700(x + y) = 700(27)

700x + 700y = 18900 (3)

Subtract (2) from (3)

700x + 375y = 15000 (2)

700x + 700y = 18900 (3)

-325y = -3900

Divide both sides by -325

y = -3900/-325

y = 12

Recall

x + y = 27

x + 12 = 27

x = 27 - 12

x = 15

Therefore, the business should purchase 15 business class and 12 economy class.

Complete question:

A business has $15,000 to spend on airline tickets to travel to a conference. It wants 27 of its employees to attend. The business wants to buy as many business-class seats as possible. The business-class seats cost $700. The economy-class seats cost $375. How many of each type of ticket should the business purchase?. A) 11 business class and 16 economy class. B) 12 business class and 15 economy class. C) 15 business class and 12 economy class. D) 16 business class and 11 economy class

Hey!!!

Here's your answer:

Actually the value of pi is 22/7 and when we divide 22 by 7 ,it equals to 3.142857143.

So,the first 4 digits of pie is 3.142

There is one miracle about pi.

And that is

first digit of pie(3)

= The third month is march.

Albert Einstein was born in march14 and Stephen Hawking was dead in march 14.

Sorry,if u did not understand what I mean to say...

I am not good at giving explanations.....:(

Answer:

-1/14

Step-by-step explanation:

To simplify the expression, you should first divide up the parts to make it easier.  Multiply 1/5 by  -5/7 first.  When you multiply the two fractions, the fives cancel out since there is a five in both the numerator and the denominator.  This leaves us with just -1/7.

[tex]\frac{1}{5} *\frac{-5}{7} =\frac{-1}{7}[/tex]

Now, multiply -1/7 by 2/4.  Notice that you can simplify 2/4 to 1/2.  You can't cancel out anything in this expression so simply multiply the two fractions.

[tex]\frac{-1}{7} *\frac{1}{2} =-\frac{1}{14}[/tex]

I moved the negative sign from the numerator out front, but you don't have to do that.

Answer:

Friend PLEASE UPLOAD THE PICTURE PROPERLY IT IS NOT READABLE

To write the equation 3x + 2y = 4 in slope-intercept form, subtract 3x from both sides, then divide each term by 2. The slope-intercept form of the equation is y = (-3/2)x + 2.

To write the equation 3x + 2y = 4 in slope-intercept form, we need to isolate y on one side of the equation.

Step 1: Subtract 3x from both sides to get 2y = -3x + 4.

Step 2: Divide each term by 2 to get y = (-3/2)x + 2.

Therefore, the equation 3x + 2y = 4 in slope-intercept form is y = (-3/2)x + 2.

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Answer:

Step-by-step explanation:

Answer:0.0770

Step-by-step explanation:

0.076952 the five makes 9 round up.

Since you can't have ten the six increases by 1 so it is

0.077

Then you could add a zero on the end to 0.0770 so it is to 3 sig fig

Answer:

0.0770.

Step-by-step explanation:

That would be  rounded to the  next 3 digits after the second 0.

So it is 0.0770.

(The 7695 is rounded  to 770 because the digit after the 9 is 5, so the 69 is rounded up to 70).

Answer:

m ≠1  ( all m in R  except 1 )

Step-by-step explanation:

hello :

mx − y + 3 = 0.....(*)

(2m − 1)x − y + 4 = 0 ....(**)

multiply (*) by : -1       you have :   -mx+y-3=0   ....(***)

                                                    (2m − 1)x − y + 4 = 0 ....(**)

add(***) and(**)  : -mx+ (2m − 1)x+1 =0

(2m-m-1)x+1=0

(m-1)x = -1

this system have no solution  if : m-1≠0   means : m ≠1

Answer:

Step-by-step explanation:

C is the answer plz mark as brainliest answer

Answer:

  B.  $1300

Step-by-step explanation:

The 100 hats remaining in inventory are the first 100 hats purchased in the period, so are 50 hats purchased for $12 each in June, and 50 hats purchased for $14 each in July. The value of this inventory is ...

  50($12) +50($14) = $600 +700 = $1300

Answer:

1225

Step-by-step explanation