Devin is making a candle by pouring melted wax into a mold in the shape of a square pyramid. Each side of the base of the pyramid is 30 mm and the height of the pyramid is 18 mm. To get the wax for the candle, Devin melts blocks of wax that are each 8 mm by 6 mm by 5 mm. How many of the wax cubes will Devin need in order to make the candle? Show all formulas and calculations used to arrive at your answer

Answers

Answer 1

9514 1404 393

Answer:

  23

Step-by-step explanation:

The volume of the square pyramid with base of side length s and height h is ...

  V = 1/3s²h

  V = 1/3(30 mm)²(18 mm) = 5400 mm³

The volume of a block of wax is ...

  V = LWH

  V = (8 mm)(6 mm)(5 mm) = 240 mm³

Then the number of blocks of wax required for a candle is ...

  (5400 mm³/candle)/(240 mm³/block) = 45/2 blocks/candle

The candle is equal to the volume of 22.5 blocks of wax. We presume Devin will want to melt whole blocks, so ...

Devin needs 23 blocks of wax to make the candle.


Related Questions

A truck driver drives at an average rate of 43 miles per hour.
At this rate, how many miles will he drive in 11 hours?
A: 473 miles
B: 54 miles
C: 483 miles
D: 55 miles

Answers

The answer is 54miles

For every boy taking classes at the music school, there are 3 girls who are taking classes at the school. If there are 128 students taking classes, write and solve a proportion to predict the number of girls taking classes at the school.

Answers

Answer:

96

Step-by-step explanation:

In the sample compound interest rate tables presented in your reading material, the first column on the left-hand side of each table shows you the __________. a. 1% rate, b. principal, c. number of periods, d. maturity values

Answers

In the sample compound interest rate tables presented in your reading material, the first column on the left-hand side of each table shows you the number of periods. Option C

What is the compound interest?

When interest is computed, it is done so on the initial principal as well as all of the accrued interest from prior periods.

The ability of compound interest is defined as producing "interest on interest."

Any frequency schedule, including continuous, daily, and yearly, can be used to compound interest.

Money increases more quickly when compounded.

Formula is given as :
[tex]A = P(1 + \frac{r}{n})^n^t[/tex]

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Find the exact value of x.

Answers

Answer:

[tex]x = 4 \sqrt{3} [/tex]

Step-by-step explanation:

[tex] \frac{8}{2} = 4 \\ 4 \times \sqrt{3} = 4 \sqrt{3} [/tex]

Ron and Ben had a total of 700 playing cards. After Ron gave away 40% of his playing cards and Ben gave away 20% of his playing cards, they each had an equal number of cards. How many more picture cards did Ron have than Ben at first?

Answers

Ron had 140 picture cards more than Ben

The power generation plant of a ship is outfitted with two identical diesel-generator sets. One single set running stand-alone can meet the full power requirement of the vessel. The engine of each set has a malfunction probability of 25% and the generator of 10%. In case one set breaks down there is a 50% probability of it being repaired but it will run again only if repaired and its subsystems do not further malfunction upon startup. Calculate the probability of an electric power outage shipboard.

Answers

Answer:

probability of an electric power outage shipboard is 0.075 or 7.5 %

Step-by-step explanation:

Given the data in the question;

Probability of engine malfunction = 25% = 0.25

Probability of generator malfunction = 10% = 0.1  

Probability of generator being repaired = 50% = 0.5

probability of an electric power outage shipboard = ?

To get the probability of an electric power outage shipboard, we use the expression;

probability of an electric power outage = 2[tex]_c_1[/tex] × p( Probability of generator malfunction ) × p( Probability of generator being repaired ) × ( 1 - p( Probability of engine malfunction ) )

so we substitute in our given values;

probability of an electric power outage = 2 × 0.1 × 0.5 × ( 1 - 0.25 )

probability of an electric power outage = 2 × 0.1 × 0.5 × 0.75

probability of an electric power outage = 0.075 or 7.5 %

The graph of the function y = f(x + 26) can be obtained from the graph of
y = = f(x) by one of the following actions:

Answers

Answer:

left 26 units

Step-by-step explanation:

inside the parentheses means left or right, and it also means opposite direction.

Answer:

this question answer Iis left 26 units..

If you can help me with these four questions I'll give you brainliest :))​

Answers

Answer:

13. The mode is 265

14. The range is 42

15. The median is 250

16. The mean is 249

Calculate the state income tax owned on a 40,000 per year salary

Answers

Answer:

The state income tax to be paid will be $ 2,300.

Step-by-step explanation:

Given that an annual salary of $ 40,000 pays a state income tax of 5.75% of said value, to determine the total amount of tax to be paid, the following calculation must be made:

40,000 x 5.75 / 100 = X

230,000 / 100 = X

2,300 = X

Therefore, the state income tax to be paid will be $ 2,300.

What is the value of x?

Answers

Answer:

23

Step-by-step explanation:

The given two triangles are congruent , by SSS congruence condition , therefore the corresponding sides will be equal .

=> x - 4 = 19

=> x = 19 + 4

=> x = 23

The value of x is 23. The triangles are identical, so (x - 4) = 19. 23 - 4 = 19.

Hence, x = 23

elijah used 3/4 of the memory on his cell phone memory card if the memory card can hold 32 gigabytes how many gigabytes did elijah used

Answers

Elijah used 24 gigabytes memory on his cell.

What is Division method?

Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications. For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.

Given that;

Elijah used 3/4 of the memory on his cell phone memory card.

And, The memory card can hold 32 gigabytes.

Now,

Since, The memory card can hold 32 gigabytes.

And, She used 3/4 of the memory on his cell phone memory card.

Hence. The used memory = 3/4 of 32

                                         = 3/4 × 32

                                         = 3 × 8

                                          = 24 gigabytes

Thus, Elijah used 24 gigabytes memory on his cell.

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Edgar accumulated $9,000 in credit card debt. If the interest rate is 30% per year and he does not make any
payments for 2 years, how much will he owe on this debt in 2 years by compounding continuously?

Answers

Answer:

$16399.06

Step-by-step explanation:

Given

Debt amount P = $9000Interest rate r = 30% = 0.3Time t = 2 yearsCompound number = continuous

Use formula

A = Pe^(rt)A = 9000*e^(0.3*2) = $16399.06

HELP!

Will give branliest

Answers

Answer:

maybe 10

if this is wrong then sorry

Idil owns a small business selling clothing. She knows that in the last week 3
customers paid cash, 25 customers used a debit card, and 53 customers used a credit
card.
with
Based on these results, express the probability that the next customer will pay
cash or a credit card as a percent to the nearest whole number.

Answers

The probability that the next customer will pay cash or a credit card is 56%, since 3 customers paid cash and 53 customers used a credit card out of a total of 81 customers.

What is customers?

Customers are individuals or organizations who purchase goods and services from a business. They play an important role in a company's success as they provide the revenue needed to sustain and grow the business. Customers become loyal to a business when they are provided with quality products, excellent customer service, and competitive prices. Companies that focus on customer satisfaction often develop long-term relationships with their customers, as they understand the importance of customer loyalty. Companies must strive to continually meet the changing needs of their customers in order to remain successful in the long term.

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SOMEONE HELP
Find sinD, sinE, cosD, and cosE. Write each answer as a fraction in simplest form.

Answers

Answer:

Step-by-step explanation:

sinD = opposite/hypotenuse = 12/15 = 4/5

cosD = adjacent/ hypotenuse = 9/15 = 3/5

sinE = opposite/hypotenuse = 9/15 = 3/5

cosE = adjacent/ hypotenuse = 12/15 = 4/5

Mark's school is 5 kilometers away from his home. There are about 0.62 miles in 1 kilometer. About how many miles is Mark’s school from his home?

Answers

Answer:

3.1 miles

Step-by-step explanation:

(5 km)(0.62 mi/km) = 3.1 miles

3.1 miles! 3.10686 exactly

Maya is solving the equation 2(1+7x)=72. She lists an explanation for each step as shown. Which is the missing explanation for Maya's first step after writing the given equation?

Answers

Answer:

apply the distrbutive property

Step-by-step explanation:

...........................

help pls with the question

Answers

Answer:

fart

Step-by-step explanation:

Which model can be used to represent
the number below?

Answers

Answer:

0.7

Step-by-step explanation:

Johnny bought 8 toy cars. The cars came in p packages. Write an expression that shows how many toy cars were in each package.

Answers

Answer:

p=8+x

Step-by-step explanation:

c=t/8 where c is the number of cars in each package.

Mr Paul has 4 bars of chocolate. He distributes 1/3
of each bar to 4 children.
a) Write the fraction of chocolate distributed.
b) Write the fraction of cholates left with Mr. Paul

Answers

a) The fraction of chocolate distributed is given as follows: 4/3.

b) The fraction of chocolates left with Paul is given as follows: 8/3.

How to obtain the fractions?

The fractions are obtained applying the proportions used in the context of this problem.

He distributes 1/3 of each bar to 4 children, hence the total number of bars distributed is given as follows:

4 x 1/3 = 4/3.

(multiplication of fractions, multiply the numerators and the denominators, keeping the quotient).

The total number of bars that Paul had initially is given as follows:

4 bars.

Then the fraction of chocolate remaining with Paul is given by the subtraction of the total amount of bars by the amount given to the children, as follows:

4 - 4/3 = 12/3 - 4/3 = 8/3 bars.

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In a survey of 1,000 women aged 22 to 35 who work full time, 545 indicated that they would be willing to give up some personal time in order to make more money. The sample was selected in a way that was designed to produce a sample that was representative of women in the targeted age group.
a. Do the sample data provide convincing evidence that the majority of women age 22 to 35 who work full-time would be willing to give up some personal time for more money? Test the relevant hypotheses using α = .01.
b. Would it be reasonable to generalize the conclusion from Part (a) to all working women? Explain why or why not.

Answers

Answer:

Yes, there is convincing evidence that the majority of women age 22 to 35 who work full-time would be willing to give up some personal time for more money.

No ;

Step-by-step explanation:

n = 1000

x = 545

Phat = x / n = 545/1000 = 0.545

H0: p ≤ 0.5

H1: μ > 0.5

The test statistic :

(phat - p0) ÷ √(p(1 - P0) / n)

Test statistic :

(0.545 - 0.5) ÷ √(0.5(0.5) / 1000)

0.045 / 0.0158113

Test statistic = 2.846

α = 0.01

Decison :

Reject H0 ; if Pvalue < α

Using the Pvalue from Test statistic (Z) calculator :

Pvalue = 0.002214

With Pvalue < α ; We reject H0 and conclude that there is convincing evidence that the majority of women age 22 to 35 who work full-time would be willing to give up some personal time for more money.

No, making generalization about all women would not be reasonable as the data employed for the research mainly focuses on a particular

Is a function that can be graphed
as a solid line discrete or continuous?

Answers

Linear function Is a function that can be graphed as a solid line discrete or continuous

What is a linear function?

Linear functions are simply known as functions whose graph is a straight line.

They have one dependent variable and one independent variable.

These functions have either one or two variables without exponents.

Continuous graphs are used to represent functions that are continuous along their entire or whole domain.

Whereas, discrete graphs are used to represent values at specific points along the number line from different directions.

Types of the linear function;

Direct variationslope-intercept formstandard formpoint-slope form

Hence, it is a linear function

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The Singh family ordered a large pizza with a diameter of 16 inches for dinner. If one of the members of the family ate one eighth of the pizza, how many square inches of pizza are remaining? Use 3.14 for π.

200.96 square inches
175.84 square inches
100.48 square inches
25.12 square inches

Answers

Answer: D

Step-by-step explanation: 25.12

Answer: The actual answer is (175.84 square inches)

Step-by-step explanation:

First, find the area of the pizza.

You need to use the formula for area of a circle: A = πr^2

or in words, the area of a circle is equal to pi times radius to the second power.

So find the radius which is half the diameter.

The diameter is 16 inches, so the radius is 8 inches.

Now raise 8 to the second power, meaning that you need to times 8 by 8

(8 * 8 = 64) Now you times 64 by pi or 3.14. (64 * 3.14 = 200.96)

That is the area of the entire pizza.

But you still need to find how many square inches are left after 1/8 is eaten.

If 1/8 is eaten, then that means the pizza is divided into eighths.

Take 200.96 and divided that by 8 to find how much the individual pieces are.

200.96/8 = 25.12

But you need to find what is left is the pizza, so times 25.12 by 7 because that is how many pieces are left. 25.12 * 7 = 175.84

Sorry for the long explanation, but here is proof that the answer is correct. I took the same test and got the answer right

Here is a photo from my test:

Have a good day

What is 1653.78367 to the nearest ten square meter? Please help

Answers

Answer: 1653.8

Step-by-step explanation: Find the number in the tenth place  7  and look one place to the right for the rounding digit  8 . Round up if this number is greater than or equal to  5  and round down if it is less than  5.

this is a unit test right answers only pls

Answers

Answer:

d

Step-by-step explanation:

took da test

What would y be? If x is 9 m

Answers

The answer is 30 because you do big side over small side and cross multiply.

please help me this is. big

Answers

Answer:

C. = 69.5

Step-by-step explanation:

The median or the average between 80 and 59 is 69.5

Hope this helps! :)

The following table shows the coordinates for a triangle and the coordinates for its image. The triangle is mapped
onto its image by a dilation. Draw the triangle and its image on a coordinate plane.
Pls help! Thanks

Answers

Answer:

Th (0,0)

the centre of dialation

4. There are 36 units in a case. You have 90 loose units of stock in the store. The store manager has requested a stock count in CASES. How many cases of stock will 90 units fill? CALCULATION:​

Answers

There are 36 pieces in one case. The store has 90 loose storage units. The store manager requested an inventory count where 2.5 units would fill her 90 units.

What is the inventory process like?

Typically, this process involves the retailer (or team of employees) walking through the retailer's warehouse and storefront, counting each item. Information is captured manually using pen and paper or electronically using a mobile device.

Create a storage location map showing each shelf, bin, drawer, receiving dock, and return area. Place geographic divisions, not product lines, between each storage area. Let's start counting! After each counter completes a certain range, allow a manager or someone else to check the count.

90/36 = 2.5

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Other Questions
Why can the sine ratio never be greater than 1? Grade -7 ENGLISH PERIODIC TEST-2 Read the poem -'The Dentist and the Crocodile' by ROALD DAHL and answer questions 8-13:The crocodile, with cunning smile, sat in the dentists chair.He said, Right here and everywhere my teeth require repair.The dentists face was turning white. He quivered, quaked and shook. (3)He muttered, I suppose Im going to have to take a look.I want you, Crocodile declared, to do the back ones first.The molars at the very back are easily the worst.He opened wide his massive jaws. It was a fearsome sight(7)At least three hundred pointed teeth, all sharp and shining white.The dentist kept himself well clear. He stood two yards away.He chose the longest probe he had to search out the decay.(10)I said to do the back ones first! the Crocodile called out.Youre much too far away, dear sir, to see what youre about.To do the back ones properly youve got to put your headDeep down inside my great big mouth, the grinning Crocky said.The poor old dentist wrung his hands and, weeping in despair,He cried, No no! I see them all extremely well from here!(16)Just then, in burst a lady, in her hands a golden chain.She cried, Oh Croc, you naughty boy, youre playing tricks again!Watch out! the dentist shrieked and started climbing up the wall.Hes after me! Hes after you! Hes going to eat us all!Dont be a twit, the lady said, and flashed a gorgeous smile.Hes harmless. Hes my little pet, my lovely crocodile.7What did the dentist think the crocodile was trying to do?(1 Point)A. to trick him into being eatenB. to scare him into treating itC. to steal his medical instrumentsD. to impress him and become his pet8He's after me! He's after you! He's going to eat us all! Which of these best describes the dentist when he says the above lines?(1 Point)A. He is surprised at the turn of events.B. He is panicking and unsure of what to do.C. He is looking for a solution to the problem.D. He is trying to understand what is happening.9Which of these lines from the poem best shows that the dentist was afraid?(1 Point)A. line 3B. line 7C. line 10D. line 1610Looking at the dentist's reaction to her crocodile, the lady feels that _________________(1 Point)A. he is overreacting to her petB.she needs to punish her petC. she needs to protect her petD. he is being harsh with her pet11Which of these pairs does NOT have rhyming lines?(1 Point)A. line 3 and line 4B. line 9 and line 10C. line 15 and line 16D. line 19 and line2012Which of these describes the tone of the poem?(1 Point)A. silly and playfulB. angry and bitterC. serious and formalD. bored and uninterested OPEN ENDED NOT MULTIPLE CHOICE Some recent studies suggest that a teenager sends an average of 60 texts per day. For each ofthe following scenarios, find the linear function that describes the relationship between the inputvalue and the output value. 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