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Katen [24]
2 years ago
5

On my 30th birthday, I plan to light 30 candles on my cake and blow 30% of them. How many candles will stay lit after I'm done?

Mathematics
2 answers:
zloy xaker [14]2 years ago
8 0

30 candles=100%

30% of 100%= 9 candles out of 100 candles

after blowing out 30% of the candles, 9 should be left lit.


SashulF [63]2 years ago
6 0
You can set up an proportion like this:

———- = ————
You can use this way for future questions.

On the left denominator/bottom, place 100, as for percents it will always be 100. On the right denominator, place 30/ the whole. On the right numerator/top, place an x, as the part is unknown. On the right numerator, place 30%/The percent.
You multiply across, then divide what’s left over.
1) multiply: 30 candles x 30 = 900
2) divide: 900/100= 9

After you blow 30% of your 39 candles, you will have 9 candles that are still lit.
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General solution of equation sin x + sin 5x = sin 2x + sin 4x is
zaharov [31]

Answer:

x=nπ3, n∈I

Step-by-step explanation:

sin x + sin 5x = sin 2x + sin 4x

⇒⇒   2 sin 3x cos 2x = 2 sin 3x cos x

⇒⇒   2 sin 3x(cos 2x - cos x) = 0

⇒    sin 3x=0 ⇒ 3x=nπ ⇒ x=nπ3⇒    sin 3x=0 ⇒ 3x=nπ ⇒ x=nπ3 , n∈I, n∈I

or    cos 2x−cos x=0 ⇒ cos 2x=cos xcos 2x-cos x=0 ⇒ cos 2x=cos x

⇒   2x=2nπ±x  ⇒  x=2nπ, 2nπ3⇒   2x=2nπ±x  ⇒  x=2nπ, 2nπ3 , n∈I, n∈I

But solutions obtained by x=2nπx=2nπ , n∈I, n∈I or x=2nπ3x=2nπ3 , n∈I, n∈I are all involved in x=nπ3x=nπ3 , n∈I

7 0
2 years ago
Melissa and Joey enjoyed dinner at a restaurant. They paid the waiter $100.50 plus a 20% tip. How much did each person pay if th
BigorU [14]

Each person should pay if the total bill should split is $60.30.

Given that,

  • The two-person paid the waiter $100.50.
  • Also,  there is a 20% tip.

Based on the above information,

The total amount paid including the tip is

= $100.50 + 20% of $100.50

= $120.60

Now the above amount should be split into 2 persons so it should be $60.30.

Therefore we can conclude that each person should pay if the total bill should split is $60.30.

Learn more: brainly.com/question/19877146

7 0
1 year ago
Tyrell Otis deposited his IRS refund check for $760 at 5% and made no other deposits or withdrawals. How much simple interest di
Helga [31]

Answer:

He earned $114 in interest.

The final amount in the account is $874

Step-by-step explanation:

Initial balance (b): $760

Interest rate (i): 0.05

Period (n): 3 months

Simple interest applications yield the same amount in interest every period. Therefore, the total simple interest earned can be defined by:

I = n*B*i\\I= 3*760*0.05\\I=114

The final amount (A) in the account is the initial balance plus the interest earned in 3 months.

A = 760 +114\\A=874

He earned $114 in interest and the final amount in the account is $874

6 0
2 years ago
Helen gathered 37 mushrooms in three hours. How many mushrooms did she gather every hour, if she gathered 7 more mushrooms in th
mihalych1998 [28]

Answer:

On the first hour she gathered 8 mushroons, on the second 15 mushroons and on the third she gathered 14 mushroons.

Step-by-step explanation:

Helen gathred a total of 37 mushroons in three hours. On the first hour she gathered "x" mushroons, on the second hour she gathered "x + 7" mushroons and on the third hour she gathered "x + 6". Therefore the sum of mushrrons she gathered on each hour should be equal to the total she gathered as shown below:

37 = x + (x+ 7) + (x + 6)

37 = 3*x + 13

3*x + 13 = 37

3*x = 37 - 13

3*x = 24

x = 24 / 3

x = 8

On the first hour she gathered 8 mushroons, on the second 15 mushroons and on the third she gathered 14 mushroons.

8 0
2 years ago
If f(x) is a third degree polynomial function, how many distinct complex roots are possible?
dezoksy [38]

Good evening ,

Answer:

There are exactly 3 complex roots and that is due to the fundamental theorem of Algebra.

:)

4 0
2 years ago
Read 2 more answers
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