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balu736 [363]
4 years ago
14

Sarah has a make your own candle set that includes a block of wax in the shape of a rectangular prism. The block of wax has a le

ngth of 8 inches, a width of 6 inches, and a height 3 inches. She wants to make 4 cylindrical candles called pillar candles. Each candle mold will have a diameter of three inches and a height of 6 inches. Does she have enough wax to make the pillar candles? If not, how many complete candles can she make

Mathematics
1 answer:
rosijanka [135]4 years ago
8 0

Answer:

She doesn't have enough wax to make 4 candles, but she does have enough to make 3 whole candles

Step-by-step explanation:

Please refer to the attached image for explanations

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Oh mah lord please please help me
Alenkinab [10]

Option 2: 4^{\frac{1}{6}} is the correct answer.

Step-by-step explanation:

The radical expressions like these are simplified by using fractional exponents

given

\frac{\sqrt{4}}{\sqrt[3]{4} }

Converting radicals into exponents

When there is no base the exponent is 1/2 and as the base is 3, the exponent will be 1/3

So

=\frac{4^{\frac{1}{2}}}{4^{\frac{1}{3}}}

As the bases of numerator and denominator is same, the exponents can be subtracted

=4^{\frac{1}{2}-\frac{1}{3}}\\=4^{\frac{3-2}{6}}\\=4^{\frac{1}{6}}

Hence,

Option 2: 4^{\frac{1}{6}} is the correct answer.

Keywords: Exponents, radicals

Learn more about radicals at:

  • brainly.com/question/6073431
  • brainly.com/question/6075514

#LearnwithBrainly

7 0
3 years ago
13,22,31,...<br> Find the 31st term.<br> Find the 31st term.
Galina-37 [17]

Answer: 283

Step-by-step explanation:

To do this, it is helpful to get an equation you can use to solve any term.

This equation is:

13 + 9(n-1)

So simply plug in 31 for n to get

13+9(31-1)

=13+270

=283

5 0
2 years ago
Read 2 more answers
What is the vertex of g(x) = -3/? + 2<br> (3, -25)<br> (-3,-25)<br> (3,29)<br> (-3, 29)
Orlov [11]

Answer:

(3,-25)

Step-by-step explanation:

6 0
3 years ago
sam makes some bread rolls. He gives 2/5 of the bread rolls to his neighbor and 4/9 of the remainder to his cousin. He has fifte
FinnZ [79.3K]
 <span>Neighbor: 2/5(x) </span>
<span>Remainder = x - 2/5(x) = 3/5(x) </span>
<span>Cousin = 4/9 * 3/5(x) = 4/15(x) </span>

<span>x - 2/5(x) - 4/15(x) = 15 </span>
<span>x - 6/15(x) - 4/15(x) = 15 </span>
<span>x - 10/15(x) = 15 </span>
<span>(15x - 10x) = 225 </span>
<span>5x = 225 </span>
<span>x = 225/5 = 45 </span>

<span>Therefore, he made 45 rolls</span>
8 0
3 years ago
to rent a bike for 3 hours it costs $12. for 5 hours it costs $20. a) write an equation that models the cost of a bike rental as
pychu [463]
To answer b - You need to find how much it costs to rent a bike per hour. To do this divide the over all cost ($12) by your amount of time (3 hrs) to get $4 per hour. Same with the $20 per 5 hours!
5 0
3 years ago
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