Josie has 250 cubic centimeters of candle wax. She wants to make a hexagonal prism candle with a base area of 21 square centimeters and a height of 8 centimeters. She also wants to make a triangular prism candle with a height of 14 centimeters. Can the base area of the triangular prism candle be 7 square centimeters?

Answers

Answer 1

Let's compute the volume of the hexagonal prism candle. That volume is

Volume = (area of base)*(height)
Volume = 21*8
Volume = 168

The volume of the hexagonal prism candle is 168 cubic cm

So we have 250-168 = 82 cubic centimeters of wax leftover.

Let V = 82 be the volume of the triangular prism. We're given the height to be 14 so h = 14

Use V = 82 and h = 14 to find the area of the base (A)

V = A*h
82 = A*14
82/14 = A*14/14
A = 5.857 ... this is approximate

The base area is about 5.857 square cm which is less than 7 square cm. So it's impossible for the base area to be 7 square cm. The area of the base must be 5.857 (approx) or smaller if we want the height to be 14 cm.

The answer to the question in the problem is simply "no" with the reasoning explained above.

Related Questions

I know this isn't math but what is this question asking me? 15 points. I'm writing something for my school and it says "How do floods affect people, the environment, ect.. today on a mass scale? To what level and how? How will you address it?" What does it mean by how will you address it?

Answers

The word address in this situation basically means the way you would speak to the person or the way you would answer the question to someone.

Final answer:

The question is asking for an exploration on the large-scale impacts of floods on people and the environment, and what solutions or preventative measures you would suggest to handle these effects.

Explanation:

The question you're asked to answer in your writing relates to the impact of floods on a large scale, specifically focusing on people and the environment. In particular, the question desires an exploration of the magnitude and process of these impacts. The part 'How will you address it?' refers to your proposals for handling the situation, including potential solutions or preventative measures to mitigate these effects. For instance, you might suggest improving infrastructure to withstand floods, educating communities about disaster preparedness, or implementing stricter environmental regulations to protect and restore natural flood barriers.

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use number sense Duane and Mick are saving their money to build a tree house.Duane adds $5. ti their piggy bank every other week Mick adds $2.every week.So far they have saved $45.How many weeks have they been saving money?

Answers

5 weeks
Work: (9×5=45
5+2}
2. }these 5+2+2=9
5+2
2
5+2
2
5+2
2
5+2
2

Duane and Mick have been saving money for 10 weeks.

Work

W1 5+2=7
W2 0+2=2
W3 5+2=7
W4 0+2= 2
Total so far is 18
W5 5+2 = 7
W6 0+2 = 2
W7 5+2 = 7
W8 0+2 = 2
Total now is 36
W9 5+2 = 7
W10 0+2 = 2
You end at 45!

Which answer correctly estimates the quotient of 8.39 ÷ 1.22? A. about 70 B. about 7 C. about 0.7 D. about 0.07

Answers

Well I just solve it on my phone I got 7

The answer should be B) 7.

You know that 15% of a number n is 12. How can you use this to find 30% of n? 45% of n? Explain.

Answers

If 12 is 15% of a number than you could double 12 and get 24. The reason for this is because 15%*2 is 30% so than 12*2 would be 30% of a number. So 30% of a number is 24. If you than look at the 15% again you than will want to do 12*3 and get 46 as your answer.

DeShawn deposited $6500 into a bank account that earned 11.5% simple interest each year. He earned $4485 in interest before closing the account.

If no money was deposited into or withdrawn from the account, for how many years was the money in the account?

Round your answer to the nearest whole year.

Rich deposited money into a bank account that earned 2.5% simple interest each year. After 2 years, he had earned $14.65 in interest on the account.

If no other money was deposited into or withdrawn from the account, how much was his initial deposit?
PLEASE HELP ME!

Answers

The answer for the first part is 6 years and the answer for the second part is $293.

What is simple interest?

It is defined as the interest based on the principal amount, it does not include the compounded amount. The interest calculates on the initial amount or borrowed amount.

It is given that:

DeShawn deposited $6500 into a bank account that earned 11.5% simple interest each year.

I = Prt

$4485 = 6500(0.115)(t)

t = 6 years

Rich deposited money into a bank account that earned 2.5% simple interest each year.

I = Prt

14.65 = P(0.025)(2)

P = $293

Thus, the answer for the first part is 6 years and the answer for the second part is $293.

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Answer:

the one above me is not correct it is actually 6 years.

Step-by-step explanation:

I took the k12 quiz

hope this helps!

there are six blades on each windmill. How many total blades are on seven windmills? Use a fives fact to solve.plzzz help me plzz!!!!!!

Answers

The way to solve this is 6 times 7 which is 42.

Juan delivers 174 newspapers every day. Edward delivers 126 more newspapers each day than Juan. Write an expression to show how newspapers Edwards will deliver in 29 days

Answers

The expression is 300 multiplied by 29

300 x 29

Further explanation

Given:

Juan delivers 174 newspapers every day.

Edward delivers 126 more newspapers each day than Juan.

Question:

Write an expression to show how newspapers Edwards will deliver in 29 days.

The Process:

Since Edwards delivers 126 more newspapers every day than Juan, we will count the number of newspapers delivered by Edwards every day.

Edwards: [tex]\boxed{ \ 174 + 126 = 300 \ }[/tex]

Therefore, Edwards delivers 300 newspapers every day.

And now, we will write an expression to show how newspapers Edwards will deliver in 29 days.

We multiply the number of newspapers delivered every day by the number of days requested.

Thus, an expression to show how newspapers Edwards will deliver in 29 days is [tex]\boxed{\boxed{ \ 300 \times 29 \ }}.[/tex]

The summary is as follows:

[tex]\boxed{ \ (174 + 126) \times 29 \ } \rightarrow \boxed{ \ 300 \times 29 \ }[/tex]

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Keywords: Juan delivers, 174 newspapers, every day, Edward, 126 more, each day, write an expression, to show, how newspapers, in 29 days

Miss Ferguson recorded 17 absences in her class during the first 30 days of school. During the last 60 days of school, she recorded 42 absences. Are the rates equivalent? Explain your reasoning.

Answers

The rates are not equivalent because 60 is double of 30 the absences must be 17 times 2. But 17 times 2 is 34 so they cannot be equivalent.

no because if you look at 30 & 60those are half-friends 30 is half of 60 so, look at 17... ... keepthat in your head..... ..... 17 x 2 is 34 so 17 is NOT equevilent to 42.

Valentina purchased 200 beads for $48 to make necklaces. If she needs to buy 25 more beads, how much will she pay if she's charged the same rate

Answers

$6 because 48÷200=0.24, so 0.25x25=$6

She will have to pay $6 and THaTS MY NAmE

what is the value of the function at x=3

Answers

It's asking what the value of y is when x = 3.
Count three spaces to the right from the origin to find x=3, then how ever many spaces to the point is the y value.
The y-axis also indicates what the y-coordinate is.
When x = 3, y = 4.

Answer:

correct answer is 4

Step-by-step explanation:

Randy ' s garden has 3 rows of carrots with 3 plants in each row. Next year, he plans to plant 4 times the number of rows. How many plants will he have next year?

Answers

3x3=9 thus 9x4=36 36 plants

Okay, let's break this down.

We first need to multiply the number of rows now with the plants he will plant in each row. 3 x 3 = 9.

Now, we need to do some more multiplication. Since Randy wants to plant 4 times as many rows as this year, we need to multiply the number of rows this year, and the number of rows next year. 4 x 3 = 12.

Now, we can multiply the number of rows with the number of plants. 12 x 3 = 36.

You could have also multiplied the number of rows this year with the number of plants, 3 x 3 = 9. Then, you can multiply that with the number of rows Randy wants to plant next year. 9 x 4 = 36.

Happy learning!

If 1 inch on a map represents 200 miles, then 1.5 inches represents how many miles.

Answers

300. 1 inch - 200 miles. Half of 1 inch is .5 and half of 200 is 100.

Jeffrey is buying mulch for a circular flower garden with a diameter of 12 feet. The layer of mulch needs to be 4 inches thick. What is the volume of mulch needed for the flower garden?

Answers

For anyone doing the USA test prep the correct answer is 37.7 cubic feet!

Final answer:

The volume of mulch needed for the flower garden is approximately 37.68 cubic feet.

Explanation:

To find the volume of mulch needed for a circular flower garden, we first need to calculate the volume of the garden. The formula for the volume of a cylinder is V = πr^2h, where r is the radius and h is the height. In this case, the radius is half the diameter, so r = 12/2 = 6 feet. The height is the thickness of the mulch, which is 4 inches or 4/12 = 1/3 feet. Plugging these values into the formula, we get V = π(6)^2(1/3). To simplify further, we can use the approximate value of π as 3.14. Therefore, the volume of mulch needed for the flower garden is approximately 37.68 cubic feet.

More adding and subtracting mixed numbers. How do you fix a unlike denominator?

Answers

I'll give you 14A the denominator will be 12. So do 20/12+17/12+57/12=7 5/6.

In the United States ,sales tax is added to items that you purchase.the rate of sales tax varies by state and sometimes by country or region. Use the table to order the counties from least to greatest sale tax

Answers

country A : 6.75% = 0.0675
country B : 0.0625
country C : 7/100 = 0.07

least to greatest : B , A , C

hey!

i got B C A

hope this helps!

what is the sum of -2/3 and -4/6

Answers

I hope this helps you

-2/3-4/6

-2/3-2.2/3.2

-2/3-2/3

-4/3

Saeed bought 21 1/2 lb. of ground beef. He used 1/4 of the beef to make tacos and 2/3 of the remainder to make quarter-pound burgers. How many burgers did he make?

Answers

This may be a little complicated, but basically, you have to break everything down into decimals. 21.5 X .25 = 5.375. Subtract 5.375 from 21.5 and you should get 10.75 or 10 3/4. Divide 10 3/4 by 1/4, the answer should be 30 burgers.

What is 11/10 simplified

Answers

it is 1 1/10 when simplified.

11/10 is already simplified unless you want a mixed number.

If you want a mixed number then it would be 1 and 1/10

A bowl contains 15 granola bars and 10 fruit bars.

What is the ratio of granola bars to fruit bars?

Enter your answer in simplest fractional form in the box

Answers

granola bars to fruit bars....
15 / 10 reduces to 3/2 in simplest form......so its 3/2, or 3:2, or 3 to 2

Answer:

3/2 or if mixed number 1 1/2

Step-by-step explanation:

The sum of two numbers is 17 and their difference is 5. What are the two numbers?

Answers

Should be 11 and 6 because when you add 11 and 6 you get 17 and when you subtract them you get 5

6 and 11

17 - 5 = 12
12/2 = 6
6 + 5 = 11

how many times does 40 go into 746

Answers

746\40=18.65
answer=18.65

18.65 times! Because I just divided 746 by 40 and I got that answer.

a dogs weight goes from 75 to 65 lbs. what is the percent of change? rounded to the nearest whole percent

Answers

We set the denominator as the original weight of the dog which is 75.
And the numerator is the new weight of the dog.

65/75 = 13/15

13/15 ≈ 87%

100% - 87% = 13%

So the dog weight decreased by about 13%.

Solve the equation. -5x + 2 = 67

Answers

x= -13 because you subtract 2 then divide by -5

-5x + 2 = 67
-2 | -2
-5x | 65
------------
-5 | -13
So your answer is x = -13

if 2.54 centimeters = 1 inch, what would be the length of a ribbon that is 52 centimeters long in inches? ( round to the nearest tenths)

Answers

You divide the total centimeters for the 2.54 centimeters so it will be 52\2.54 and you will get the answer then round the number to the nearest tenth

Nice question. A way to solve this is by using ratios.

Well, we know that 2.54 cm = 1 in

We want to find out how many inches are in 52 centimeters. Here's how we start...

We take our known similar information and make that a ratio. We want partial over whole always!

So... 2.54 cm ÷ 52 cm

For the inches... 1 inches ÷ x inches
The reason we use the "x" is because it is a variable (we don't know what that value is yet).

Mentioned before, we know 2.54 cm = 1 in.
So, we can assume the following...

2.54/52 = 1/x

All I did there was state, if 2.54 = 1 then 52 = x.

Now, we can solve for "x" by cross multiplying.

2.54 * x = 52 * 1

2.54 * x = 52

Solve for "x" by dividing

x = 52/2.54

x = 20.47 inches

If you have any questions then please leave a comment.

John is making a tent for his next camping trip out of waterproof material. He is going to use two different colors for the tent and needs to know how many square yards of material he will need for the lateral portion of the tent. The equilateral triangular-shaped opening of the tent, or base, has side lengths of 3 yards, and the tent will be 6 yards long. How many square yards of material does John need for the lateral portion of the tent? A. 15 square yards B. 63 square yards C. 54 square yards D. 36 square yards

Answers

I Would have to say D

what strategies do you use to make a rate table?

Answers

a data table with x and y values comparing the two

Dina started chores at 8:15 am and finished at 9:05 am it took her 30 minutes to clean her room and she spent the rest of the time bathing her dog. How long did Dina spend bathing her dog ?

Answers

it took Dina 20 minets to wash her dog hope this helped

It took Dina 20
minutes to wash her dog. Hope this Helped!!

Earl runs 35 meters in 10 seconds. How many meters does Earl run per second?

Answers

If he ran 35 meters in 10 seconds, how many meters did he run in a second?
35m=10s
? =1
1/10*35m=3.5m
Therefore he ran 3.5 meters in a second.

3.5 meters per second because 3.5 x 10 = 35

ted is asked to multiply 10 power of 2 x 18.72. how many places and in which direction should he move the decimal point to get the correct product?

Answers

Move to the left 2 times

Use the Distributive Property to find the product mentally. Show the steps you used
5 x 47

Answers

Final answer:

To find the product of 5 x 47 using the Distributive Property, we can break down the second number into its tens and ones digits, distribute the first number to both parts, and simplify the expression.

Explanation:

To find the product of 5 x 47 using the Distributive Property, we can break down the second number, 47, into its tens and ones digits.

47 can be written as 40 + 7.

Then, we can distribute the 5 to both parts: 5 x 40 + 5 x 7.

This simplifies to 200 + 35, which equals 235.

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