If David and his friends each get an equal slice of cake, what fraction of the original cake does each person get

Answer:

see below

Step-by-step explanation:

the circumference of a circle is

[tex]2\pi r[/tex]

in our problem

r=11

[tex]C=2\pi (11)\\\\=22\pi[/tex]

rounded to the nearest tenth

[tex]C\approx69.1[/tex]

the area of a circle is

[tex]\pi r^2[/tex]

so the area is

[tex]A=\pi(11)^2\\\\=121\pi[/tex]

rounded to nearest tenth

[tex]A\approx 380.1[/tex]

Answer:

51.6 was the average speed

Step-by-step explanation:

speed= distance/time

Answer:

X=-10

Step-by-step explanation:

Answer:

x = -10

Step-by-step explanation:

4.5(8-x) + 36 = 102 - 2.5(3x+24)

36 - 4.5x + 36 = 102 - 7.5x - 60

72 - 4.5x = 42 - 7.5x

72 + 3x = 42

3x = -30

x = -10

Answer:

27a^3b^3 + 8b^3

Step-by-step explanation:

because

Answer:

1

Step-by-step explanation:

just keep the first number and flip the sign and it would be 1 i think idrk

If x is his speed, and the speed limit is 65 mph, then the inequality [tex]x > 65[/tex] represents him going over the speed limit.

The inequality [tex]x \le 65[/tex] is when Jerry isn't over the speed limit (so he's going either 65 mph or slower than this).

It's not clear what the pattern is supposed to be for the digits in the givne number. It looks like the repeating block should be 846, but it could just as easily be 84684.

Assume the first case, and let x = 7.846846846... . Then

1000x = 7846.846846846...

Subtract x from this to cancel the repeating decimal part, then solve for x :

999x = 7846 - 7 = 7839

x = 7839/999 = 871/111

If instead you meant the second case, let x = 7.846848468484684... . Then

10⁵ x = 784,684.846848468484684...

Solve for x :

99,999 x = 784,684 - 7 = 784,677

x = 784,677/99,999 = 261,559/33,333

Maybe you meant something else altogether?

Answer:

-2 and 13

Step-by-step explanation:

the pattern here is annoying to find, but there is one. the first change is -4, then +6, then -7, then +9. The pattern starts at -4, then after that it increases by 2 and changes from a negative to a positive (and can change the other way). After that change it increases by one and changes from a positive to a negative. Essiently, the pattern is add 2 to the pattern and change the sign, then add 1 to the pattern after that and change the sign, infinitely repeating, with the two after 11 being -2 (gotten from +12 because you add 2 to -10 and change the sign) and 13 (gotten from -13 because you add 1 and change the sign of +12).

Answer:

1.811

Step-by-step explanation:

To get the decimal Jenna should type into the computer you simply have to get the decimal value of each fraction and add them all together.

[tex]\frac{3}{4}=.75[/tex]

[tex]\frac{1}{8} =.125[/tex]

[tex]\frac{4}{5}=.8[/tex]

[tex]\frac{17}{125}=.136[/tex]

Then just add all the decimals together.

Answer:

1 1/2

Step-by-step explanation:

n= 3/2

Decimal Form:

n= 1.5

Mixed Number Form:

n = 1 1/2

Answer:

Yes,  -2 is a "rashihol" number

Answer:

114

Step-by-step explanation:

1 x 4 x 114 = 456

Answer:

Width: 9.5 inches

Step-by-step explanation:

We have to convert the 1 foot to 12 inches.

New Dimensions: 12in x 4in x ?in

We multiply the 12 by 4 and we get 48.

Now we divide 456 by 48.

We get: 9.5

9.5in is the width of the box.

Answer:

Distance between Henry and his uncle is 74.25km.

Step-by-step explanation:

Speed of Hawk with wind = 50+5

                                           =55km/hr

Speed of Hawk against wind = 50-5

                                               =45km/hr

we know that ,

        [tex]Distance = speed \times time[/tex]

Let the distance between Henry and uncle is d,

According to the question ,

[tex]\frac{d}{55} + \frac{d}{45} = 3[/tex]

[tex]\frac{9d + 11d}{495} =3[/tex]

[tex]20d = 3\times 495[/tex]

[tex]d =\frac{3\times495}{20}[/tex]

d= 74.25km

Hence , the answer is 74.25km

The relation between speed, time, and distance is used. Then the distance between Henry's uncle from Henry is 74.25 miles.

The distance covered in an hour is called speed. it is a scalar quantity.

The concept of relative speed is used when two or more bodies moving with some speed are considered.

Henry sends his hawk with a message to his uncle.

The hawk flies out against the wind and returns with the wind, spending 3 hours on the whole trip.

We know the relation

[tex]\rm speed = \dfrac{distance }{time}[/tex]

Let the distance between Henry's uncle from Henry be x.

The time of the trip is during the traveling remains constant. That is

[tex]\rm T = T_1 + T_2\\\\T = \dfrac{x}{v_1} + \dfrac{x}{v_2}[/tex]

The speed of the wind is 5 mph, and the hawk flies 50 mph in quiet weather. Then we have

[tex]\rm v_1 = 50 - 5 = 45\\\\v_2 = 50 + 5 = 55[/tex]

Then

[tex]\begin{aligned} \rm \dfrac{x}{45} + \dfrac{x}{55} &= 3\\\\\rm \dfrac{9x + 11x }{495} &= 3\\\\\rm 9x + 11x &= 1485\\\\\rm 20x &= 1485\\\\\rm x &= 74.25 \end{aligned}[/tex]

Thus, the distance between Henry's uncle from Henry is 74.25 miles.

More about the speed link is given below.

https://brainly.com/question/862972

Answer:

-5 ≤ x < 0

Step-by-step explanation:

Step 1: Convert word signs to math

greater than or equal to: ≤ x

less than: x <

Step 2: Substitute in numbers

-5 ≤ x < 0

Answer:

  C.  √3

Step-by-step explanation:

When one of the factors is a rational number (0.5), the product will be irrational if, and only if, the other factor is irrational.

Of the numbers offered, only √3 is irrational.

  √3 will produce an irrational product when multiplied by 0.5.

__

The other values are all rational:

  A: 4

  B: 5/9

  D: 1/3

Answer: a3−5a2+4a+5

Step-by-step explanation:

4a+−a3+−3+2a3+−5a2+8

=(−a3+2a3)+(−5a2)+(4a)+(−3+8)

=a3+−5a2+4a+5

Answer:

the answer for the number of stickers in all 4 boxes is 1200.

Step-by-step explanation:

there are 100 stickers in each roll and a box has 3 rolls. There are 12 rolls in total so you would do 100 X 12 which is 1200.

Answer:

3:1,

Step-by-step explanation:

because if you multiple 3x9=27, and 1x9=9 you get 27:9

2 cents per ounce.

Work

$8.80 divided by 44

Answer:

B. 4d + 50 = 114

Step-by-step explanation:

Given parameters:

Hourly rate = $d/hr

Flat fee = $50

Charge for the 4hrs = $114

Number of hours = 4hrs

To find d;

    Total cost  = $114;

             $114  = Flat fee + (rate per hour x number of hours)

            $114 = $50 + 4d

The value of d can be calculate using;

           4d + 50 = 114

The value of d is 4d + 50 = 114

Answer:

14(cos(330)+isin(330))

Step-by-step explanation:

step1: determine the modulus using the formula  |z|=√(a²+b²)

|z|=  √((7√3)² + (-7)²) = √196 = 14

step2: determine the argument using the formula θ=tan⁻¹(y/x)

θ=  tan⁻¹(-7/7√3) =  (-1/√3) --> rationalize the denominator by multiplying top and bottom by √3 to get:  -√3/3

the tangent value on the unit circle that is -√3/3 is 330 degrees in quadrant iv

then put it together :p

Answer:

d because no x has more than one y value

Answer:

( − 5 , 1 )

Step-by-step explanation:

Use the midpoint formula to find the midpoint of the line segment.

Answer:

The smallest number you can add to 6412 to make it a perfect square is 149. Which would make 6561, and be the square 81

Step-by-step explanation:

Answer:

23

Step-by-step explanation:

117 - 94 should be the correct answer