Taylor has a punch bowl shaped like a cylinder, with a diameter of 22 inches and a height of 20 inches, she pours 8.25 gallons of punch into the bowl.
(note 1 gallon = 231 cubic inches)

How far from the top of the punch bowl is the top of the punch?

Answer:

20%

Step-by-step explanation:

old selling price = $720

new selling price = 720 x (1 - 30%) = 720 x 70% = $504

cost = $420

markup = (504 - 420)/ 420 = 84/420 = 20%

Answerfdf:d

fd

dffdfsd

The risk factors should be considered when choosing a form of investment for your money is: interest rate and risk

Investment or investing means that an asset is bought, or that money is put into a bank to get a future interest from it.

While making an investment the investment consider:

So, The risk factors should be considered when choosing a form of investment for your money is: interest rate and risk

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Answer:

2y/x^4

Step-by-step explanation:

Apply the exponent rule: a^0 = 1, assuming a [tex]\neq[/tex] 0

Hence,

x^0 = 1

2y * 1/x^4

Multiply 2 and 1

2*1 = 2

= 2y/x^4

Answer: B

Step-by-step explanation:

Answer:

9.65 meters

Step-by-step explanation:

965 cm * 1 m / 100 cm = 9.65 m

Answer:

by multiplying the numbers

Answer:

A. 38

Step-by-step explanation:

Diagonals of a rhombus bisect 90° at the center. Taking O to be the center :

Answer:

60

Step-by-step explanation:
(* = multiplication symbol)

6^2+8*3

36+8*3

36+24

60

Answer:60

Step-by-step explanation:

Use bidmas

(Brackets Indices Division Multiplication Addition Subtraction)
so first do 6 squared =36

Then 8x3 =24

Then 36+24= 60

Answer:

[tex]30[/tex]

Step-by-step explanation:

Given expression:

[tex]5(x + 4) + 5(2 - x)[/tex]

Note: The value of "x" is undefined because the given sum is not an equation. Thus, I will simplify the expression as much as possible.

Let us simplify all the distributive properties stated in the expression.

Apply the distributive property rule [a(b + c) = ab + ac]

[tex]\implies5(x) + 5(4) + 5(2) - 5(x)[/tex]

Since 5(x) is being subtracted from 5(x), we get:

[tex]\implies 5(x) + 5(4) + 5(2) - 5(x)[/tex]

[tex]\implies 5(4) + 5(2)[/tex]

Finally, let us simplify the sum of the product of (5 and 4) and (5 and 2).

[tex]\implies20 + 10[/tex]

[tex]\implies \boxed{30}[/tex]

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Answer:

360°

Step-by-step explanation:

Sum of exterior angle of any polygon = 360

Sum of exterior angle of pentagon = 360

Step-by-step explanation:

How do you find the speed of a falling object?

Calculate the final free fall speed (just before hitting the ground) with the formula v = g*t = 9.80665 * 8 = 78.45 m/s. Find the distance traveled by the falling object, using the equation s = 0.5 * g * t^2 = 0.5 * 9.80665 * 8^2 = 313.8 m.

Answer:

4.5

Step-by-step explanation:

4.5 x 2 = 9

very simple

Step-by-step explanation:

g) 6g=54

g=54/6

g=9

h) 7h=73-10

h=63/7

h=9

I) 8x-32=48

8x=48-32

x=16/8

x=2

j) 63=27+9j

63-27=9j

36/9=j

4=j

k) 101-61=4x

40/4=x

20=x

l)46=8+x-5

46=3+x

46-3=x

43=x

Hope this helps you

have a nice day

Step-by-step explanation:

Volume = 4πr³/3

= 4•7³•π/3

=1372π/3

= 1372•3.14/3

≈ 1436.03 units³

to the nearest hundredth.

The linear equation that has a slope of -7 and crosses the x-axis at (3, 0) is:

y =  -7x + 21

A general linear equation is:

y = a*x +b

Where a is the slope and b is the y-intercept.

The slope must be equal to the limit found in part a, and you say that it is equal to -7, so the slope is -7. And for how is written the problem, I understand that it crosses the x-axis at x = 3.

Then we will have:

y = -7*x + b

Such that, when x = 3, y = 0, then:

0 = -7*3 + b

21 = b

Then the linear equation is y = -7x + 21

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Answer:

The line will pass through (3,-7) and has a slope of 3

Step-by-step explanation:

x=3 , f(x) = x^3 - 4x^2 + 2

f(3) = 3^3 -4(3)^2 + 2

f(3) = -7

Answer:

first blank is 3

second blank is 2.5

last blank is 0.5

Step-by-step explanation:

Answer: Look at the attachment

3

2.5

0.5

Step-by-step explanation:

Answer:

164.6

Step-by-step explanation:   i'm a human calculator

Answer:

164.6

Step-by-step explanation:

Divide 987.6 by 6 = 987.6/6= 164.6

Answer:

200.96 square units

Step-by-step explanation:

 d = 16

r = diameter ÷ 2 = 16 ÷ 2

r = 8

  [tex]\boxed{Area \ of \ circle = \pi r^2}[/tex]

                           = 3.14 * 8* 8

                           = 200.96 square units

Answer:

See Explanation!

Step-by-step explanation:

Brief History:

While a circle, symbolically, represents many different things to many different groups of people including concepts such as eternity, timelessness, and totality, a circle by definition is a simple closed shape. It is a set of all points in a plane that are equidistant from a given point, called the center. It can also be defined as a curve traced by a point where the distance from a given point remains constant as the point moves. The distance between any point of a circle and the center of a circle is called its radius, while the diameter of a circle is defined as the largest distance between any two points on a circle. Essentially, the diameter is twice the radius, as the largest distance between two points on a circle has to be a line segment through the center of a circle. The circumference of a circle can be defined as the distance around the circle, or the length of a circuit along the circle. All of these values are related through the mathematical constant π, or pi, which is the ratio of a circle's circumference to its diameter, and is approximately 3.14159. π is an irrational number meaning that it cannot be expressed exactly as a fraction (though it is often approximated as 22/7) and its decimal representation never ends or has a permanent repeating pattern. It is also a transcendental number, meaning that it is not the root of any non-zero, polynomial that has rational coefficients. Interestingly, the proof by Ferdinand von Lindemann in 1880 that π is transcendental finally put an end to the millennia-old quest that began with ancient geometers of "squaring the circle." This involved attempting to construct a square with the same area as a given circle within a finite number of steps, only using a compass and straightedge. While it is now known that this is impossible, and imagining the ardent efforts of flustered ancient geometers attempting the impossible by candlelight might evoke a ludicrous image, it is important to remember that it is thanks to people like these that so many mathematical concepts are well defined today.

⇒ Given :

Using the formulas

[tex]A=\pi r^{2} \\d=2r[/tex]

Solving for [tex]A[/tex]

[tex]A=\frac{1}{4} \pi d^{2} =\frac{1}{4} *\pi *10^{2}[/tex] ≈ [tex]78.53982[/tex]

[tex]A[/tex] ≈ [tex]78.54...rounded[/tex]

⇒ Given :

Using the formulas

[tex]A=\pi r^{2} \\\d=2r[/tex]

Solving for [tex]A[/tex]

[tex]A=\frac{1}{4} \pi d^{2} *\pi *16^{2}[/tex] ≈ [tex]201.06193[/tex]

[tex]A[/tex] ≈ [tex]201.06...rounded[/tex]

Answer:

The hypotenuse is 12 so the other side lengths are 6 and 6sqrt(3). Therefore the perimeter is 18 + 6sqrt(3). i hope it helps if not im glad to help step by step

Step-by-step explanation:

Answer: [tex]d=\sqrt{50}, 5\sqrt{2}, \,\text{or about}\;7.1[/tex]

Step-by-step explanation:

      We can use the distance formula to solve.

[tex]\displaystyle d=\sqrt{(x_{2}-x_{1})^2 +(y_{2}-y_{1})^2}[/tex]

[tex]\displaystyle d=\sqrt{(4--3)^2 +(1-2)^2}[/tex]

[tex]\displaystyle d=\sqrt{(4+3)^2 +(1-2)^2}[/tex]

[tex]\displaystyle d=\sqrt{(7)^2 +(-1)^2}[/tex]

[tex]\displaystyle d=\sqrt{49+1}[/tex]

[tex]\displaystyle d=\sqrt{50}[/tex]

d ≈ 7.1

Answer:

try youre best to complete youre succsess

Step-by-step explanation:

here you go hope it helps

Answer:

h = A ÷ b

Step-by-step explanation:

The base is to be the subject of formula not height so dividing through the equation by b to give h = A ÷ B is not a possible first step

[tex]~~~~~x^2 -2 = 47\\\\\implies x^2 = 47 +2 \\\\\implies x^2 = 49\\\\\implies x = \pm\sqrt{49}\\\\\implies x = \pm 7\\\\\text{Hence, }~ x = 7,~~ x = -7[/tex]

Answer:

403010

Step-by-step explanation:

Because the rate is increasead and 30% is used as well as 5.5% and the restate agency gets $383,000

Answer:

11.5

because

8 18.40

5 ?

5×18.40=92

92÷8=11.5

Answer:

£11.50

Step-by-step explanation:

Well to solve this equation you must divide the total cost of the 8 sandwhiches by 18.40

18.40 divided by 8 is 2.30

So that means the cost per sandwhich is £2.30

Then all you have to do is multiply 2.30 by 5

2.30 divided by 5 is 11.50

So the cost of 5 sandwiches would be £11.50