Austin uses a mold to make cone-shaped cupcakes. The diameter of the mold is 12 inches, and
the height of the mold is 10 inches. If one cubic inch is about 0.55 ounce, how many ounces will
2 cupcakes weigh? Use 3.14 for T. Round to the nearest tenth of an ounce. Only write the
number

Answers

Answer 1

Answer:

25.9

Step-by-step explanation:

So calculate volume of the mold, which is a cone: (pi) r2 (h/3) where r is radius and h is height

So diameter/2 = r which is 1.5 in

h = 2 in

V = (3.14)(1.52)(2/3) = 4.71 in3

If 1 in3 = 0.55 oz, and 1 mold = 4.71 in3, then one mold = 2.59 oz

2.59 oz * 10 cupcakes = 25.9 oz total

Answer 2

Step-by-step explanation:

the volume of a cone is

pi×r² × h/3

the radius is always half of the diameter, so, it is here

12/2 = 6 in.

h = 10 in.

so, we have here

pi×6²×10/3 = 3.14 × 36 × 10/3 = 3.14×120 = 376.8 in³.

2 cupcakes have then

376.8 × 2 = 753.6 in³

1 in³ = 0.55 ounces

so, the weight of 2 such cupcakes is

0.55 × 753.6 = 414.48 ounces ≈ 414.5 ounces


Related Questions

Solve the equation for x. Do not include "x =" in your answer.
-3+√3x-11=5
Help pls

Answers

The value of x in the equation is 25

How to solve for x?

The equation is given as;

[tex]-3 + \sqrt{3x - 11} = 5[/tex]

Add 3 to both sides

[tex]\sqrt{3x - 11} = 8[/tex]

Take the square of both sides

3x- 11 = 64

Add 11 to both sides

3x = 75

Divide both sides by 3

x = 25

Hence, the value of x in the equation is 25

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What is the Parent Function?
What Are The Transformations?

Answers

Answer:

Parent function:
[tex]x^2+y^2=r^2[/tex]
General equation:
[tex](x-h)^2+(x-k)^2=r^2[/tex]
Transformations:
Its a circle with a center of (100,60) and a radius of 15

Will mark brainlist to whoever answers first

Answers

Answer:

the answer is (6,5) pls mark brainest

Answer:

The answer is D.) (6,5)

Step-by-step explanation:

When the first point goes right, you add it, and when the second point goes down, you subtract it

Find the perimeter of the triangle.
20 ft
21 ft

Answers

Answer:

29 feet

Step-by-step explanation:

20^2 + 21^2 = 841

841sqrt = 29 feet

please help me solve this

Answers

Answer:

i actually don't know

Step-by-step explanation:

Find the slope from the graph.

Answers

Answer:

The answer is -3/2.

A rectangular garden has an area of 144 ft². If the base is 8 ft long, what is the height?
18 ft
36 ft
64 ft
72 ft

Answers

Answer:

The Answer is 18

Hope this helps! :)

Step-by-step explanation:

Name the property used in the equation 1=6n. Then find the value of n.

Answers

Answer:

1=6

Step-by-step explanation:

Divide both sides of the equation by the same term

1=6

please please please help help help !!

Answers

Answer:

The axis of Symmetry divides a line into two equal halves.

Step-by-step explanation

An easy relation to get this value without plotting a graph is x = –b/2a

Where

a = coefficient of x²

b = coefficient of x

From the Question, We need a symmetry of value ½

The only Option that'll give this value is OPTION D

2x y = 5 2x²

Since its a line, Don't forget to make "y" subject before doing any operation.

y = 2x² + 2x 5

a = 2

b= 2

x = (2)/2(2)

= 2/4

= ½

NEED HELP ASAP

Question A.) k=5
Question B.) ????

Answers

Answer:

b) [tex]f^{-1}(x) = \frac{4x+5}{3}[/tex]

Step-by-step explanation:

b) To find the inverse function, switch the [tex]x[/tex] and [tex]y[/tex] variables and solve for [tex]y[/tex]:

[tex]f(x) = \frac{3x-5}{4}\\y = \frac{3x-5}{4}\\x = \frac{3y-5}{4}\\4x = 3y-5\\4x+5 = 3y\\\frac{4x+5}{3} = y\\f^{-1}(x) = \frac{4x+5}{3}[/tex]

Verify Answer:

[tex]f(1) = \frac{3(1)-5}{4} = -0.5\\f^{-1}(-0.5) = \frac{4(-0.5)+5}{3} = 1[/tex]

Find the median and mean of the data set below:
3,40,15,28
3,40,15,28

Answers

Answer:

21.5

Step-by-step explanation:

Median: List all numbers in order, then find the two in the middle and average them so 3 15 28 40 and then do 15+28=43 then divide by 2 = 21.5

Mean: Average all of them so 3+15+28+40=86 divided by 4 = 21.5

Make g the subject of the formula [tex]w=7-\sqrt{g}[/tex]

Answers

Answer:

Step-by-step explanation:

[tex]\sqrt{g}[/tex] = 7-w

([tex]\sqrt{g}[/tex] )^2 = (7-w)^2

g = (7-w)^2

How do I find the domain range and function of the graph

Answers

Answer:

  D = {-3, -2, -1, 1, 4}

  R = {-5, -1, 0, 2}

Step-by-step explanation:

You have correctly described the process of finding the domain and range by the way you filled in the blanks at the top of the sheet.

__

The domain is the set of x-values of the points on the graph:

  D = {-3, -2, -1, 1, 4}

The range is the set of (unique) y-values of the points on the graph:

  R = {-5, -1, 0, 2}

What is the point-slope form of a line with slope -5 that contains the point
a
(2,-1)?

Answers

The point-slope form the line which has the value of slope -5 and contains a point as A(2,-1) is (y+1)=-5(x-2).

What is point slope form?

The point slope  form of a line is the expression of line which has a specified slope and passes through a point.

The point slope form is givne as,

(y-y₁)=m(x-x₁)

Here, m is the slope of the line, x₁ is the x coordinate of the point by which line passes and y₁ is the y coordinate of the same point.

The slope of a line is -5. This line contains the point A (2,-1). Thus, the point slope form is,

(y-y₁)=m(x-x₁)

(y-(-1))=-5(x-2)

(y+1)=-5(x-2)

Thus, the point-slope form the line which has the value of slope -5 and contains a point as A(2,-1) is (y+1)=-5(x-2).

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can someone please help me solve these math problems they are about triangle proofs

Answers

Answer:

Besides the givens:

12.

AC = EC, BC = DC; Definition of Midpoint

<ACB = <ECD; Vertical Angles Theorem

Triangle ABC = Triangle EDC; SAS Congruence Postulate

13.

AD = CD; Definition of Median

BD = BD; Reflexive Property

Triangle ABD = Triangle CBD; SSS Postulate

Step-by-step explanation:

None necessary.

Find the volume of a cone with the base of 10 and height of 6

Answers

Answer:

Answer = 157

Step-by-step explanation:

The formula to finding the volume of a cone is h(pi)(r^2)/3. We know that the height is 6 and the base is 10. This means that the radius is 5 because it is 1/2 of the base. Now we plug in our numbers into the equation and get 157!

Hope that helps! :)

Nandlal bought 20 dozen notebooks at Rs.156 per dozen.He sold 8 dozens of them at 10% gain and the remaining 12 dozens at 20% gain.What is his gain percent on the whole transaction?

Answers

Answer:

[tex]8(156 \times 1.1) + 12(156 \times 1.2) [/tex]

Which relations are functions?
Choose all answers that are correct:

Answers

Answer:

A. B and D are functions

Step-by-step explanation:

Functions are either one-to-one or many-to one    (x-value --> y value)

C is not a function because   -3  (x) maps to 1 and also to 0 (y).

Please help with this maze

Answers

Answer:

go down then go right

Step-by-step explanation:

can someone please help me to work this out

Answers

Answer:

13.64 cm²

Step-by-step explanation:

Area of Trapezoid :

1/2 x (a + b) x ha and b = parallel side lengthsh = height

Solving :

1/2 x (5.2 + 3.6) x  3.11/2 x 8.8 x 3.14.4 x 3.113.64 cm²

Answer:

13.64 square centimeters

Step-by-step explanation:

Hey there!

The formula to finding the area of a trapezoid is:

1/2 (p + q) h

Where h is the height, p is the shorter base and q is the longer base

In this case

p - 3.6

q - 5.2

h - 3.1

1/2 (3.6 + 5.2) 3.1

1/2 (8.8) 3.1

(4.4) 3.1 --> 4.4 x 3.1

13.64

So, the area of this trapezoid is 13.64 square centimeters

What is the area of this figure

Answers

Answer:

105 units²

Step-by-step explanation:

Area of triangle = ½bh

b = 11 + 4

b = 15

A = 2(½15(7))

2 and ½ cancel

A = 15(7)

A = 105 units²

Does anybody know this?Find the surface area of the triangular prism the ares of the base is 7.75yd

Answers

Answer:

10.308

Sure hope this helps you

How many sides does a regular n-gon have if the measure of one interior angle is 165?

Answers

The supplement of each interior angle has measure

180° - 165° = 15°

and so

n = 360°/15° = 24

since the exterior angles add up to 360° and are all congruent.

does anyone know what 3 x (8+2) x 5 is? i really need it for homework due tomorrow thank you!​

Answers

3(8+2) x 5
3 x 10 x 5
30 x 5
= 150

The value of a painting rises from £120,000 to £192,000.
Work out the percentage increase in the value of the painting.
Show your working.

Answers

Original value =£120000
Increased value=192000-120000=72000
%increased = (72000/120000)*100%=60%
Answer is 60% increase

One winter day, the temperature at noon was -9f The temperature then rose by ​1/2 degree each hour for 3 hours before dropping by 2 1/4 degrees each hour for 2 hours. What was the temperature, in degrees Fahrenheit, at 5 PM?

Answers

Answer:

The temperature at 5 PM was - 12°F

Step-by-step explanation:

One winter day, the temperature at noon was -9°F.

The temperature then rose by ​1/2 degree each hour for 3 hours:

1/2 × 3 = 3/2 = 1 1/2

The temperature then dropped by 2 1/4 degrees each hour for 2 hours:

- 2 1/4 × 2 = - 4 2/4 = - 4 1/2

Now add up all three values to find the final value:

- 9 + 1 1/2 - 4 1/2 = - 9 + 1 - 4 = - 12

Mr smith has 28 children if he wants 2 give 2 sweets to his class how many sweets

Answers

Answer:

56

Step-by-step explanation:

If each child gets 2 sweets then we have to multiply the number of children by 2.

[tex]28 \times 2 = 56[/tex]

Answer:

30 sweets.

Add 28 and 2.

An ice-cream from a restaurant costs $3 originally. The price is reduced to $2 one weekend. What is the percent change?

Answers

33.3 repeating percent.

nd Distances in the Coordinate Plane
What is the distance between the points (4, 7) and (4,-5)?
0 units
O2 units
O4 units
12 units

Answers

Answer:

12 units

Step-by-step explanation:

(4, 7) and (4, -5)

7-(-5)=12

4-4=0

A culture of bacteria contains 1,500 bacteria initially and doubles every 30 minutes.
1. Write a function that models the number of bacteria after t time.
2. Find the number of bacteria after 2 hours.
3. After how many minutes will there be 12,000 bacteria

Answers

if the bacterial is doubling, that means the growth rate is 100%, or 100% plus whatever it was before, so

[tex]\textit{Periodic/Cyclical Exponential Growth} \\\\ A=P(1 + r)^{\frac{t}{c}}\qquad \begin{cases} A=\textit{current amount}\\ P=\textit{initial amount}\dotfill &1500\\ r=rate\to 100\%\to \frac{100}{100}\dotfill &1\\ t=minutes\\ c=period\dotfill &30 \end{cases} \\\\\\ A=1500(1 + 1)^{\frac{t}{30}}\implies A=1500(2)^{\frac{t}{30}} \\\\\\ \stackrel{\textit{after two hours, or 120 minutes, t = 120}~\hfill }{A=1500(2)^{\frac{120}{30}}\implies A=1500(2)^4\implies A=24000}[/tex]

[tex]~\dotfill\\\\ \stackrel{\textit{current amount being 12000}}{12000=1500(2)^{\frac{t}{30}}}\implies \cfrac{12000}{1500}=(2)^{\frac{t}{30}}\implies 8=(2)^{\frac{t}{30}}\implies 8=\sqrt[30]{2^t} \\\\\\ 8^{30}=2^t\implies (2^3)^{30}=2^t\implies 2^{90}=2^t\implies 90=t[/tex]

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