Suppose you were offered this choice:
ONE supersized cone for $8 or FOUR regular-sized cones for $5.
The radius of the large cone is 5 inches, and its height is 12 inches.
Each of the smaller cones has a radius of 2.5 inches and a height of 6 inches.
Does the large cone hold more ice cream, or do the four smaller cones combined?
Which is the better deal? Provide mathematical justification for your answer.

Answers

Answer 1

The large cone can hold more ice cream than the four smaller cones combined.

The large cone is a better deal.

What is a cone?

A cone is a three-dimensional structure with a round base and a point at the top, known as the vertex.

A cone is a three-dimensional solid geometric object with a point at the top and a circular base. A cone has a vertex and one face. For a cone, there are no edges.

The radius, height, and slant height of the cone are its three constituent parts.

For the supersized cone,

Volume = π(5)(5)(12)/3 = 314.29 cubic inches

For a small cone,

Volume= π(2.5)(2.5)(6)/3 = 39.29 cubic inches

Combined volume of 4 such cones = 4*39.29 = 157.16 cubic inches

As the volume of the larger cone is more, thus it holds more ice cream. Also it is a better deal, as it costs less than 4 small cones.

Learn more about cones here:

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Related Questions

A quality control inspector is testing microprocessor chips made during a single day by a new machine to determine the proportion of defective chips. She selects an SRS of 80 chips from the 3000 chips produced by the machine on that day. it turns out that six of the chips are defective. Which of the following conditions for constructing a confidence interval for the proportion of defective chips has been violated?
A. np>10 and n(1-p) > 10
B. An SRS has been taken from the population of interest.
C. The population is at least 10 times the size of the sample.
D. The population is approximately Normally distributed.
E. There appear to be no violations.

Answers

Answer:

The answer is "Choice A".

Step-by-step explanation:

[tex]\to \hat p = \frac{6}{80} = 0.075\\\\\to n \hat p = 6 \ngeq 10[/tex]

In this question, "choice A" violates the population size at a minimum of ten times the magnitude including its sample, and therefore does not violate its requirement that is the sample, which was taken in change.

HELP solve the proportion x+1/16 = 17/32

Answers

Answer:

Exact Form:

x=15/32

Decimal Form:

x=0.46875

Step-by-step explanation:

Move all terms not containing x to the right side of the equation.

Exact Form:

x=15/32

Decimal Form:

x=0.46875

Hope this helps!!!

Answer:

Exact Form : x = 15/32

Decimal : 0.46875

An article describes a study in which a new type of ointment was applied to forearms of volunteers to study the rates of absorption into the skin. Eight locations on the forearm were designated for ointment application. The new ointment was applied to four locations, and a control was applied to the other four. How many different choices were there for the four locations to apply the new ointment

Answers

Answer:

There were 70 choices for the four locations to apply the new ointment

Step-by-step explanation:

The order in which the locations are chosen is not important. So we use the combinations formula to solve this question.

Combinations formula:

[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

How many different choices were there for the four locations to apply the new ointment

Four locations from a set of 8. So

[tex]C_{8,4} = \frac{8!}{4!(8-4)!} = 70[/tex]

There were 70 choices for the four locations to apply the new ointment

Help plz:)))I’ll mark u Brainliest

Answers

Step-by-step explanation:

The angle where the shadow ends is

[tex] \tan(x) = \frac{48}{60} \\ x = 38.66[/tex]

The distance from the tree to the angle of end shadow equal (60-20)=40ft

So the tall of tree is

[tex] \tan(38.66) = \frac{x}{40} \\ x = 40 \times \tan(38.66) \\ x = 32ft[/tex]

If a dozen eggs cost $3.84 calculate the cost of 30 eggs

Answers

Answer:

a dozen is 12 so in this we find the unit rate which will be 3.84/12 which is $0.32 per egg now we multiply this by 30 which is $9.6 which is the cost for 30 eggs

THX mark me brainlyiest

$9.60 ............................

Dagny Taggart has just purchased a home and taken out a $300,000 mortgage. The mortgage has a 25 year term with monthly payments and has an APR of 6% (monthly compounding). The total amount of interest that Dagny will pay during the first month of her mortgage is closest to:

a.
1923.24

b.
1816.93

c.
1500

d.
1485

Answers

Answer:

c.

1500

Step-by-step explanation:

The computation of the total amount of interest in first month is shown below:

Interest for first month is

= Mortgage amount × interest rate ÷ total number of months in a year

= $300,000 × 6% ÷ 12  

= $1,500

Hence, the interest in the first month is $1,500

Therefore the c option is correct

6/10 times 1/5 pls hurry

Answers

Answer:

is your answer 6/50

Step-by-step explanation:

6/10 X 1/5 = 6/50

please help 30 points !! in a proportional relationship when Y=2 when X=8 Which of the following equations would describe this relationship?

Answers

Answer:

(1)

Step-by-step explanation:

We will try:

(1) y = [tex]\frac{1}{4}[/tex]x => 2 = 2 (seems legit)

(2) y = 4x => 2 = 32 (nope)

(3) y = x - 6 => 2 = 2 (yes but actually no because it is proportional relationship)

(4) y = [tex]\frac{1}{2}[/tex]x - 2 => 2 = 2 (like the above)

What is x. PLEASE HELP NEED ANSWERS NOW. M=​

Answers

2(6x+20) +2(8x-16)=180
12x+16x+40-32=180
28x+8=180
X=180-8/28=6
I think so my calculation may be wrong )

Decide whether the two segments are parallel, perpendicular, or neither.
Show your work!
PO: P(5. 2) QC-1, 6)
AB: A(-2,3) B(4, -1)

Answers

Answer:

Step-by-step explanation:

You need to find the slopes of the line segments.

If the lines are perpendicular to each other, the product of their slopes is -1.

If the lines are parallel, they have the same slope.

PLEASE HELP !! ILL GIVE BRAINLIEST *EXTRA POINTS*..
IM GIVING 40 POINTS !! DONT SKIP :((.

Answers

Answer:

14

Step-by-step explanation:

Answer is y =14/1 y=14x


solve
y+ 5- y + 4 = ​

Answers

Answer:

9

Step-by-step explanation:

its 9 lol

Answer:

9

Step-by-step explanation:

Solve:

y-y= 0y or 0

5+4= 9

Hope this helps!

un terreno de forma triangular tiene 250 pies de base por 180 pies de altura Cuál es la magnitud de su área en metro​

Answers

[tex]\mathfrak{\huge{\orange{\underline{\underline{AnSwEr:-}}}}}[/tex]

Actually Welcome to the Concept of the Areas..

Bienvenidos al concepto de áreas.

Área de un triángulo = 1/2 * base * altura,

aquí, base = 250, altura = 180, así que obtenemos como

Área = 1/2 * 250 * 180

Área = 250 * 90

Área = 22,500 mtrs.

The magnitude of the area of the triangular piece of land is approximately 2,094.2 square meters.

What is a triangle?

A triangle is a 2-D figure with three sides and three angles.

The sum of the angles is 180 degrees.

We can have an obtuse triangle, an acute triangle, or a right triangle.

We have,

First, let's calculate the area of the triangular piece of land in square feet:

Area = (1/2) x base x height

Area = (1/2) x 250 ft x 180 ft

Area = 22,500 sq. ft

To convert this to square meters, we can use the conversion factor of 1 sq. ft = 0.092903 sq. m:

Area = 22,500 sq. ft x 0.092903 sq. m/sq. ft

Area ≈ 2,094.2 sq. m

Rounding to the nearest tenth of a square meter, we get:

Area ≈ 2,094.2 sq. m

Therefore,

The magnitude of the area of the triangular piece of land is approximately 2,094.2 square meters.

Learn more about triangles here:

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The complete question:

A triangular piece of land has a base of 250 feet by a height of 180 feet What is the magnitude of its area in meters​

Elizabeth invested $67,000 in an account paying an interest rate of 4 %
compdunded annually. Aiden invested $67,000 in an account paying an interest rate
of 4 % compounded daily. After 6 years, how much more money would Elizabeth
have in her account than Aiden, to the nearest dollar?
o

Answers

Answer: $2066

Step-by-step explanation:

1. 25% of 300
2. 20% of what number is 50?
3. What percent of 120 is 40?
4. If 20% of 60 is 12. Which represent the percentage?
5. Which represent the base?​

Answers

Answer:

rawrrrrrr

Step-by-step explanation:

rawrrrrrrrrrrrrrrrr

1. 75
2. 250
3. 33.33
4. 20% I think?
5. I’m not sure

Sophia wants a video game. The one she wants costs $38. Sophia has saved $43 toward the video game. How much can Sophia spend and still afford the video game?

Answers

Answer:

She can spend $38 and have $5 left.

Step-by-step explanation:

$43 - $38 = $5. Therefore, she can afford the video game and have $5 left.

Answer:

$5

Step-by-step explanation:

Subtract 48 by 38

48 -  38

You are doing this because after you subtract the game cost from what she has at the moment she will have $5 so she can spend $5 and still get the video game.

How
Solve The D. E

dy/dx=2x^5 y^3 - 4y/x

Answers

dy/dx (2x⁵ y³ - 4y/x)

dy/dx (2y³ x⁵ - 4y/x)

dy/dx ( 2y³ x⁵ ) - dy/dx (4y/x)

= 2y³ 5x⁴ - (-4y × 1/x²)

=
10x⁶ y³ + 4y
-------------------


harriet is 2 years less than a third of her brothers age. Harriet is 3 years old. How old is her brother? please help​

Answers

I think the answer is 15
15? Not sure. She is 3, and 2 years younger than 1/3 of her brothers age. So, 5 would be 2+3. And 5x3=15 because 5 years is only 1/3 of the age

Four times the sum of a number n plus 2 equals 3 times the sum of the number plus 5. What is n?

Equation:

n=

Answers

Answer:

nweoksowjxu928idvdiwd9w

4 (n + 2) = 3 (n + 5)
4n + 8 = 3n + 15
4n = 3n + 7
n = 7
Let’s check your answer...
4 (7+2) = 3 (7+5)
4x9 = 3x12
36 = 36
We have a winner!

Multiply (x-1)(x^3+4x^2+4x-1) and combine like terms. Show your work.

Answers

Answer:

I love algebra anyways

The ans is in the picture with the  steps how i got it

(hope this helps can i plz have brainlist :D hehe)

Step-by-step explanation:

PLEASE PLEASE PLEASE PLEASE HELP!

Answers

Answer:

x=40°

Step-by-step explanation:

x=180-75-65=40°

3(2X+3)+2(3X+2)=9X+4

Answers

The answer to this is -3

Answer:59

Step-by-step explanation:

What is the length of the missing leg in this right triangle?
A right triangle has a side with length 7 millimeters and hypotenuse with length 25 millimeters.
18 mm
24 mm
26 mm
32 mm

Answers

Answer:

24mm

Step-by-step explanation:

I did the test and got it right

hope this helps :)

Answer:

B)24mm

Step-by-step explanation:

got it right edge 2021

Which of the following is equal to sin 8
A)sin 82
B)cos 8
C)cos82
D)sin98

Answers

Answer:

A

Step-by-step explanation:

sin 82 I think but i just try

The figure shows a square with sides of length 1 and a diameter of length x.

How can you determine the value of x?

Find x.
Pls help i don’t know what this is or how to figure it out

Answers

Answer:

√2 units

Step-by-step explanation:

It should be diagonal not diameter.

The diagonal of the square is √2 time the side.

The side given 1 unit, then the diagonal is x = √2 units

9514 1404 393

Answer:

  x = √2

Step-by-step explanation:

Perhaps you've heard of the Pythagorean theorem. It tells you the relationship between the sides (a, b) of a right triangle and the hypotenuse (c) is ...

  c² = a² + b²

The diagonal of the square (diameter) is the hypotenuse of a right triangle with legs that are the sides of the square. Using the above relation, we have ...

  x² = 1² + 1²

  x² = 2

  x = √2 . . . . . . the length of the diagonal (diameter)

_____

Additional comment

The "take-away" from this is that an isosceles right triangle (one of the two "special" triangles) has side ratios of ...

  side : side : hypotenuse = 1 : 1 : √2

(You will see this again.)

Round 7.5 to nearest whole number

Answers

Answer:

The answer is 8

Step-by-step explanation:

Answer:

8

Step-by-step explanation:

When a number has .5 after it you round up.

So, if a number has 5, 6, 7, 8, or 9 after the decimal round up

If a number has 1, 2, 3, or 4 after the decimal round down

Hope this helps!!

- Kay :)

help


There are 4 housekeepers working on each floor. One room only requires one housekeeper. If the housekeepers try distributing the work equally, how many housekeepers need to clean more rooms that the others?

Answers

35 rooms + 3 suites = 38 total rooms.

38 / 4 = 9.5

2 house keepers can clean 9 rooms each and 2 house keepers can clean 10 rooms each

2 Housekeepers need to clean more rooms than the other two.

Scientists are conducting an experiment with a gas in a sealed container. The mass of the gas is measured, and the scientists realize that the gas is leaking over time in a linear way. Its mass is leaking by 9.7 grams per minute. Eight minutes since the experiment started, the remaining gas had a mass of 339.5 grams. Let x be the number of minutes that have passed since the experiment started, and let y be the mass of the gas in grams at that moment. Use a linear equation to model the weight of the gas over time.
a. This line's slope-intercept equation is ___________
b. 31 minutes after the experiment started, there would be ____________ grams of gas left.
c. If a linear model continues to be accurate,______________ minutes since the experiment started, all gas in the container will be gone.

Answers

Answer: a. This line's slope-intercept equation: y=-9.7x+417.1

b. 31 minutes after the experiment started, there would be 116.4 grams of gas left.

c. If a linear model continues to be accurate,43 minutes since the experiment started, all gas in the container will be gone.

Step-by-step explanation:

Linear equation: y=mx+c  (slope-intercept equation)

, where m= rate of change in y with respect to change in x , c= Initial value.

Let y=   Mass of remaining gas after x minutes.

m= -9.7 (given)

At x= 8, y=339.5

Thus,

[tex]339.5=(-9.7)(8)+c\\\\\Rightarrow\ 339.5=-77.6+c\\\\\Rightarrow\ c= 339.5+77.6=417.1[/tex]

a. This line's slope-intercept equation: y=-9.7x+417.1

b. At x= 31 minutes

y=-9.7(31)+417.1

⇒ y=-300.7+417.1

⇒ y=116.4

31 minutes after the experiment started, there would be 116.4 grams of gas left.

c. Put y=0, we get

[tex]0=-9.7x+417.1\\\\ x=\dfrac{417.1}{9.7}\\\\ x=43[/tex]

If a linear model continues to be accurate,43 minutes since the experiment started, all gas in the container will be gone.

Ayuden con la ecuación
[tex] \times + 15 = 51[/tex]

Answers

X=36 that’s what it gave to me
The answer is:


X= 36

Write Function or Not
1.{(1,3),(2,4),(3,5)}
2.{(1,2),(1,3),(2,4)}
3.{(-3,4),(0,7),(3,0)}
4.{(4,3),(4,0),(-3,0)}
5.{(6,-8,),(-6,-8),(-6,8)​}

Answers

Answer:

1. is a function

2.is a function

3. is function

4 is not function

5. is not function

Step-by-step explanation:

Other Questions
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