You have been asked to order a three-layer cake for the party. In order to feed 75 people, the bakery gave you the following two options for the size of each layer:

Option 1: Option 2:

Layer 1 - 10-inch diameter Layer 1- 11-inch diameter

Layer 2 - 8-inch diameter Layer 2- 7-inch diameter

Layer 3 - 6-inch diameter Layer 3- 4-inch diameter

Each layer is shaped like a cylinder and will have a height of 4 inches. The bakery charges $0.50 per cubic inch of cake.

What is the total cost of cake Option 1?

What is the total cost of cake Option 2?

Must show work and formulas

Answers

Answer 1

Answer:

1-11-2-7-3-4-0.50 =-26.5

Step-by-step explanation:


Related Questions

Can someone please help, ty!!

Answers

I presume it is A although I am not sure...

Answer:

B i think

Step-by-step explanation:

use long division by dividing 78 and 3

Answers

Answer:

26

Step-by-step explanation:

Answer:

26

Step-by-step explanation:

Step 1:

Start by setting it up with the divisor 3 on the left side and the dividend 78 on the right side like this:

           

   3 ⟌ 7 8  

Step 2:

The divisor (3) goes into the first digit of the dividend (7), 2 time(s). Therefore, put 2 on top:

       2    

   3 ⟌ 7 8  

Step 3:

Multiply the divisor by the result in the previous step (3 x 2 = 6) and write that answer below the dividend.

       2    

   3 ⟌ 7 8  

       6    

Step 4:

Subtract the result in the previous step from the first digit of the dividend (7 - 6 = 1) and write the answer below.

       2    

   3 ⟌ 7 8  

     - 6    

       1    

Step 5:

Move down the 2nd digit of the dividend (8) like this:

       2    

   3 ⟌ 7 8  

     - 6    

       1 8  

Step 6:

The divisor (3) goes into the bottom number (18), 6 time(s). Therefore, put 6 on top:

       2 6  

   3 ⟌ 7 8  

     - 6    

       1 8  

Step 7:

Multiply the divisor by the result in the previous step (3 x 6 = 18) and write that answer at the bottom:

       2 6  

   3 ⟌ 7 8  

     - 6    

       1 8  

      1 8  

Step 8:

Subtract the result in the previous step from the number written above it. (18 - 18 = 0) and write the answer at the bottom.

       2 6  

   3 ⟌ 7 8  

     - 6    

       1 8  

     - 1 8  

         0  

Solve for x 10x+1=8x+25

Answers

Answer:

x=12

Step-by-step explanation:

(10(12)=8(12)+25)=(120+1=96+25)=(121=121)

Collect the like terms
10x-8x
2x=25-1
Subtract the other numbers
25-1=24
Divide both sides by 2
X=12

In a test of a printed circuit board using a random test pattern, an array of 14 bits is equally likely to be 0 or 1. Assume the bits are independent.
(a) What is the probability that all bits are 1s? Round your answer to six decimal places (e.g. 98.765432). Enter your answer in accordance to the item a) of the question statement
(b) What is the probability that all bits are 0s? Round your answer to six decimal places (e.g. 98.765432). Enter your answer in accordance to the item b) of the question statement
(c) What is the probability that exactly 7 bits are 1s and 7 bits are 0s? Round your answer to three decimal places (e.g. 98.765). Enter your answer in accordance to the item c) of the question statement

Answers

Answer:

(a) 0.000061

(b) 0.000061

(c) 0.209

Step-by-step explanation:

An array of 14 bits is equally likely to be 0 or 1.

That is, P (0) = P (1) = 0.50.

(a)

Compute the probability that all bits are 1s as follows:

[tex]P(\text{All bits are 1s})=[P(1)]^{14}[/tex] ∵ the bits are independent

                            [tex]=(0.50)^{14}\\=0.00006103515625\\\approx 0.000061[/tex]

Thus, the probability that all bits are 1s is 0.000061.

(b)

Compute the probability that all bits are 0s as follows:

[tex]P(\text{All bits are 0s})=[P(0)]^{14}[/tex] ∵ the bits are independent

                            [tex]=(0.50)^{14}\\=0.00006103515625\\\approx 0.000061[/tex]

Thus, the probability that all bits are 0s is 0.000061.

(c)

Compute the probability that exactly 7 bits are 1s and 7 bits are 0s as follows:

Define X as the number of bits that 1s.

Then the random variable X will follows a binomial distribution with parameters n = 14 and p = 0.50.

The value of P (X = 7) is:

[tex]P(X=7)={14\choose 7}(0.50)^{7}(1-0.50)^{14-7}[/tex]

               [tex]=\frac{14!}{7!\times 7!}\times (0.50)^{14}\\\\=3432\times 0.000061\\\\=0.209352\\\\\approx 0.209[/tex]

Thus, the probability that exactly 7 bits are 1s and 7 bits are 0s is 0.209.

Anybody Know This. ?

Answers

Answer second option

Step-by-step explanation:

Answer:

the 2nd

Step-by-step explanation:

one is the one and only

The age of earth’s crust is 5 · 10^9 years. Express this number as an integer.

Answers

Answer:

5,000,000,000 (see below)

Step-by-step explanation:

Integers are whole numbers and their opposites. That doesn't include fractions or decimals, even if they're negative. Being negative doesn't do anything, really.

For example, 5 and –5 are integers, but 5.1 or –5.3 are not integers. They're decimals, which means they're rational.

Integers also include 0.

Whole numbers do not include 0, so they're only 1, 2, 3, 4, 5, 6, 7, 8, 9 . . . and so on.

All whole numbers are integers.

So in order to find 5 × [tex]10^{9}[/tex] as an integer, you'll have to multiply the 5 and [tex]10^{9}[/tex] together.

[tex]10^{9}[/tex] is simply nine zeros, so it's: 1,000,000,000.

5 × 1,000,000,000 = 5,000,000,000

5,000,000,000 is not a decimal or fraction—and it also isn't negative. That means it's a whole number. Which qualifies it as an integer as well.

Find the value of a. Then find the angle measures of the quadrilateral.

Answers

Answer:

a = 60

Step-by-step explanation:

Since it is a quadrilateral, the sum of interior angles is equal to 360°. Now you have to create an equation to solve this question. To create an equation, you have to add all the interior angles to 360°.

The equation would be 2a°+a°+a°+2a° = 360°.

Then you would simplify it to 6a° = 360.

You would divide 6 on both sides to get to a° = 60.

Therefore, the value of a is 60.

Hope this helped! If not, please let me know! <3

A=60 hope this helps you

Express the ratio as a fraction in simplest form.

7 kilograms to 400 grams

Answers

Answer:

35:2

Step-by-step explanation:

7000 and 400 are each multiples of 100. 7000÷100=70

400÷100=4

70/4 is left

divide each by 2 as it is the only number that can go both in to 70 and 4

40% of 250 is equal to 60% of what number

Answers

Answer:

24

Step-by-step explanation:

250% × ? = 60

? =

60 ÷ 250% =

60 ÷ (250 ÷ 100) =

(100 × 60) ÷ 250 =

6,000 ÷ 250 =

24

Multiply the polynomial expressions.
-3x*(2x2 - 4x + 1)

Answers

the answer would be -15x + 12x ^2

Answer:

-15

Step-by-step explanation:the

I NEED HELP PLS HELP MEEE​

Answers

the answer for this problem is t=-6.957

You borrow $600 to buy a violin. The simple interest rate is 15%. You
pay off the loan after 5 years. How much do you pay for the loan?
What would the monthly payment be for the loan?

Answers

Answer:

$1050

Step-by-step explanation:

$600*15%*5=$450 interest

interest+borrowed=loan

$450+$600=$1050

I don't know the monthly payment sorry

It is necessary to find the times when the temperature is 8° F. Which of the following is the correct equation to do this
(A) 9 - 1 = 8
(B) 9+2 = 8
(C) 9-12 = 8

Answers

the answer is A... 9-1=8

50 twenties minus 1 twenty

Answers

980


correct me if i am wrong
I agree with the first answer I belive it would be 989


I need help I currently have a c trying to make up some work

Answers

Answer:

y=(-2)

Step-by-step explanation:

x=(-4) so 3x(-4)=(-12) (note: negative times a positive always equals a negative) 12/6=2 so 6x(-2)=(-12) both equations equal the same answer

A rectangle is dilated using a scale factor of 6. The
image is then dilated using a scale factor of 1/3. What
scale factor could you use to dilate the origianl
rectangle to get the final rectangle? Explain.

Answers

9514 1404 393

Answer:

  2

Step-by-step explanation:

The second rectangle's dimensions are 1/3 of those after they were multiplied by 6, so are (6)(1/3) = 2 times the original dimensions.

A scale factor of 2 could be used to get the final rectangle.

The answer is 2 I’m pretty sure

What is 8/23/25 as decimal

Answers

9514 1404 393

Answer:

  0.01_3913043478260869565217...

Step-by-step explanation:

The value of 8/23/25 is a repeating decimal with a repeat of 22 digits.

  [tex]\dfrac{8}{23}\div25=0.01\overline{3913043478260869565217}[/tex]

1) Paula buys 5 sandwiches. Each sandwich is the same price. She has a coupon for $2 off the entire purchase. She pays a total of $50.


• Which equation can be used to find the price, x, of one sandwich?

5(x + 2) = 50
5x + 2 = 50
5(x − 2) = 50
5x – 2 = 50

Answers

Answer:

5x - 2 = 50

Step-by-step explanation:

The coupon takes $2 OFF the entire purchase, so we eliminate answers A and B. If we take away $2 off the price of each sandwich, then that would be a $10 coupon, so we eliminate C. The only answer left is D, so D is the answer.

Answer:

5x - 2 = 50

I READY!!!

holpe it help

Find the total surface area of this cuboid,
5 cm
4 cm
6 cm

Answers

I don’t see a picture:(

The variables y and x have a proportional relationship, and y = 25 when x = 60.


What is the value of x when y = 30?

A. x = 25
B. x = 36
C. x = 50
D. X= 72

Answers

Answer:

A

Step-by-step explanation:

A. x = 25

it’s A. x = 25. :) i hope this helped !!

Consider the following data on x = weight (pounds) and y = price ($) for 10 road-racing bikes.

Brand Weight Price ($)
A 17.8 2,100
B 16.1 6,250
C 14.9 8,370
D 15.9 6,200
E 17.2 4,000
F 13.1 8,500
G 16.2 6,000
H 17.1 2,580
I 17.6 3,500
J 14.1 8,000

Required:
Use the F test to determine whether the weight for a bike and the price are related at the 0.05 level.

Answers

Answer:

There is a significant relation between weight and price

Step-by-step explanation:

              Brand Weight(x)          Price ($) (y)

A                  17.8                        2100

B                   16.1                        6,250

C                   14.9                        8,370

D                   15.9                        6,200

E                   17.2                        4,000

F                   13.1                         8,500

G                   16.2                        6,000

H                   17.1                         2,580

I                   17.6                          3,500

J                   14.1                         8,000

Null Hypothesis : [tex]H_0: \mu =0[/tex]

Alternate Hypothesis : [tex]H_a: \mu \neq 0[/tex]

Given : SST=51956800 SSE= 7312286.84 n = 10

SSR = SST-SSE

SSR=51956800-7312286.84

SSR=44644513.16

Level of significance =[tex]\alpha = 0.05[/tex]

[tex]F=\frac{\frac{SSR}{m}}{\frac{SSE}{n-k}}[/tex]

Where m = no. of restrictions

k = No. of independent variables

[tex]F=\frac{\frac{44644513.16}{1}}{\frac{ 7312286.84}{10-2}}[/tex]

F=48.843

Degree of freedom 1 = 1

Degree of freedom 2 = 10-2=8

Using calculator

p-value is .000114.

p value < α

So, we reject the null hypothesis .

Hence There is a significant relation between weight and price

Mrs. Simon is teaching a 5th grade class. She is standing 6 meters in front of Britney. Lisa is sitting to Britney's right. If Lisa and Mrs. Simon are 10 meters apart, how far apart are Britney and Lisa?​

Answers

Answer:

they are 4 meters apart from each other i think im not so sure

They’re 4 meters apart. You would subtract 10 from 6 to get 4.

Consider 8 = − 2/3x. 1 Which is the BEST first step to take when solving the given equation?


A) Multiply each side by 3/2.

B) Multiply each side by −3/2.

C) Multiply each side by −2/3.

D) Add 2/3x to each side.


Solve the equation.

A) x = 10

B) x = 6

C) x = −10

D) x = −12

Answers

Solve for x by simplifying both sides of the equation, then isolating the variable. Answer x = −12

In the triangle below, what is the length of the side opposite the 60° angle?

Answers

Answer:

3

Step-by-step explanation:

Answer:

3 sqrt3

Step-by-step explanation:

AP3X

out of fifty students,34 joined the journalism class and 25 joined robotics club.if 16 students joined both clubs,how many students are in neither club?how many are in either club? show the venn diagram​

Answers

Answer:

Step-by-step explanation:

Total student=50

35 -> j.

25 -> r.

16-> j.+r.

35-16=19 students joined j.

25-16=9 joined r.

50-19+9

50-28=22

Awnser is 22

It will be nice if you give me brainliest. Good luck!

What’s 3 over 4 plus 1 over 8

Answers

Answer:

7/8

Step-by-step explanation:

3/4+1/8

give common denominators

6/8+1/8

add like terms

7/8.

Answer:

3/4 +1/8=

6/8+1/8=7/8

ANSWER TO GET BRAINLIEST!!!
Sheila can ride are bicycle 6,000 meters in 15 minutes. Cal can ride his bicycle 3,400 meters in 8 minutes.Select true or false for the following statement. cal can ride his bicycle 750 meters in 1 minutes.

Answers

No he cannot it would be 425 minutes

joaquin has been working on homework for 3 1/2 hours. if each assignment takes him 1/4 of an hour, how many assignments has he completed?

Answers

Convert 3 1/2 to a improper fraction:

3 1/2 = 7/2

Divide 7/2 by 1/4:

7/2 ÷ 1/4

7/2 × 4/1

28 / 2

= 14

Joaquin has finished 14 assignments

Answer:

14

Step-by-step explanation:

Ram bought an article for rs. 148.75. He gave rs. 200 to the shopkeeper. What balance will he get ?

Answers

Answer:

his balance will be 51.25 rs.

Step-by-step explanation:

200 - 148.75 = 51.25

Answer:

51.25

Step-by-step explanation:

200-148.75

=51.25

Soft drinks are often sold in six-packs of 12-ounce cans and in 2-liter bottles. A liter is about 33.8 fluid ounces.

Which is the greater volume: a six-pack or 2 liters?

A store offers a 2-liter bottle of soft drink for $1.31 and a six-pack of 12-ounce cans for $1.37. Which is the better value (based on price per ounce)?

Answers

Answer:

List some of the given data:

1 L = 33.8 oz.

A) Which one has more volume?

In a six-pack, each can has 12 oz.

Then in total, this is:

6*12oz = 72oz.

In one liter we have 33.8 oz.

Then in two liters, we have two times that:

2L = 2*33.8 oz = 67.7 oz.

Then the sixpack has more volume.

B) Which one has more value?

Here we must divide the volume by the price:

Six-pack:

Volume  = 72 oz.

Price = $1.37

Ratio = 72oz/$1.37 = 52.55 oz/$.

2L bottle:

Volume = 67.7 oz

Price = $1.31

Ratio = 67.7oz/$1.31 = 51.68 oz/$.

You can see that the ratio is larger in the case of the six-pack, this means that you get more ounces for each dollar.

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