A child has $6.17 in change in her piggy bank. The change consists of 113 coins in a mix of pennies, nickels, and quarters. If there are 8 times as many nickels as pennies, how many of each coin does the child have?

Answers

Answer 1

Answer:

Answer:there are 12 pennies, 96 nickels and 5 quarters in the piggy bank

Step-by-step explanation:

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Mary sells to her father, robert, her shares in a corp for $55,000. the shares cost mary $80,000. how much loss may mary claim from the sale

Answers

Mary Purchase shares = $80,000
Mary Sells shares = $55,000

Loss she can claim for = $80,000 - $55,000
= $ 25,000

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the slope is 4, the equation is in y= mx + b format. the m, or in this case 4, is the slope.

Kenny reads 56pages in 23minutes, How many pages per 1 minute?

Answers

56/23= 2.43 or 2 pages per 1 minute

DJ Davon is making a playlist for work; he is trying to decide what 12 songs to play and in what order they should be played. If he has his choices narrowed down to 14 blues, 25 country, and 21 disco songs, and he wants to play an equal number of blues, country, and disco songs, how many different playlists are possible? Express your answer in scientific notation rounding to the hundredths place.

Answers

Answer:

1.80 * 10^19

Step-by-step explanation:

If he has narrowed down his choices to 14blues, 25 country and 21 disco songs and he has to make a list of 12 songs with equal representation of each genre of song, the it means there will be 4 songs from each genre of music.

We select this 4 different songs using the combination formula for selection and multiply our results.

This means we have:

12C4 for blues,

25C4 for country

21C4 for disco.

This gives:

=12C4 * 25C4 * 21C4

= 495 * 12650 * 5985

And the order they can be played = 12!.

We then multiply the number of ways to get these songs by the order they can come in.

That is:

=495 * 12650 * 5985 * 12!

= 1.7951 * 10^19

= 1.80 * 10^19 (nearest hundredth).

Final answer:

DJ Davon can make approximately 3.57 x 10^21 different playlists, if he includes an equal number of blues, country, and disco songs. This calculation utilizes combination and permutation formulas.

Explanation:

DJ Davon wants to play an equal number of blues, country, and disco songs, which means he will play 4 songs from each genre. The number of ways to select 4 songs out of each genre is represented by the combination formula C(n,r) = n! / [r!(n-r)!].

So, for each genre, the number of ways to select 4 songs is:
Blues: C(14,4) = 1001
Country: C(25,4) = 12,650
Disco: C(21,4) = 5985.

After the songs are selected, the order of the playlist matters, so we use the permutation formula. Given 12 slots for the songs, the number of ways to order them is P(n) = n!, which for 12 is 479,001,600. The total number of different playlists is product of blues, country and disco song combinations and the permutations, which gives 3.57 x 10^21. This rounded to the hundredths place in scientific notation is 3.57 x 10^21.

Learn more about Combinations and Permutations here:

brainly.com/question/19917646

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On a snowy evening only 2/3 of the registered students in Bob's chessclass came to school. Eighteen students attended that night. How
many students are registered in Bob's class?

Answers

18 / 2 = 9 || 9 x 3 = 27. Therefore, 27 students are registered in Bob’s class.

A turkey costs $1.05 per pound. There are going to be fifteen people at Thanksgiving dinner. Plan for each person to eat two, 3/8 pound servings of turkey. How many pounds of turkey will you need to buy?