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PolarNik [594]
3 years ago
15

Annie loves giving away puppies. When her friend Bobby walks by, she instantly gives him 50% of her puppy stash. Bobby, stunned

with this shower of puppies, gives back 20% of his total. Annie counters by giving Bobby 50% of her new puppy total. Bobby responds by giving Annie back 50% of the puppies he now has and then running off, having gone from 0 to 7 puppies in just a few seconds! How many puppies did Annie begin with?
Mathematics
1 answer:
mihalych1998 [28]3 years ago
4 0
I think that she started with 10.. I'm not 100% sure, though
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Two dices are tossed. What is probability that you will see even numbers on both dices? Answer should be in reduced
zimovet [89]

Answer:

3/6

Step-by-step explanation:

Well 3 is half of 6 and if you were to turn that into a fraction it would either be 3/6 or 1/2.

8 0
3 years ago
Choose 5 cards from a full deck of 52 cards with 13values (2, 3, 4, 5, 6, 7, 8, 9, 10, J, Q, K, A) and 4 kinds(spade, diamond, h
Delvig [45]

Answer:

a) 182 possible ways.

b) 5148 possible ways.

c) 1378 possible ways.

d) 2899 possible ways.

Step-by-step explanation:

The order in which the cards are chosen is not important, which means that we use the combinations formula to solve this question.

Combinations formula:

C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

In this question, we have that:

There are 52 total cards, of which:

13 are spades.

13 are diamonds.

13 are hearts.

13 are clubs.

(a)Two-pairs: Two pairs plus another card of a different value, for example:

2 pairs of 2 from sets os 13.

1 other card, from a set of 26(whichever two cards were not chosen above). So

T = 2C_{13,2} + C_{26,1} = 2*\frac{13!}{2!11!} + \frac{26!}{1!25!} = 182

So 182 possible ways.

(b)Flush: five cards of the same suit but different values, for example:

4 combinations of 5 from a set of 13(can be all spades, all diamonds, and hearts or all clubs). So

T = 4*C_{13,5} = 4*\frac{13!}{5!8!} = 5148

So 5148 possible ways.

(c)Full house: A three of a kind and a pair, for example:

4 combinations of 3 from a set of 13(three of a kind ,c an be all possible kinds).

3 combinations of 2 from a set of 13(the pair, cant be the kind chosen for the trio, so 3 combinations). So

T = 4*C_{13,3} + 3*C_{13.2} = 4*\frac{13!}{3!10!} + 3*\frac{13!}{2!11!} = 1378

So 1378 possible ways.

(d)Four of a kind: Four cards of the same value, for example:

4 combinations of 4 from a set of 13(four of a kind, can be all spades, all diamonds, and hearts or all clubs).

1 from the remaining 39(do not involve the kind chosen above). So

T = 4*C_{13,4} + C_{39,1} = 4*\frac{13!}{4!9!} + \frac{39!}{1!38!} = 2899

So 2899 possible ways.

4 0
3 years ago
Olivia has $680 to spend at a bicycle store for some new gear and biking outfits. Assume all prices listed include tax.
nika2105 [10]

Answer:

2999999

Step-by-step explanation:

82882+9_933

5 0
2 years ago
Read 2 more answers
Evaluate the expression 4x² – 13y for x = 3 and y = 2.
irina [24]

Answer: 118

Step-by-step explanation: if x=4 then 4x3 to the 2nd power= 144. 13x2=26

144-26=118

3 0
2 years ago
Read 2 more answers
angel is visiting a cousin 280 miles away from nashville. he’s already driven 70 miles in the first hour. at that speed how many
Tpy6a [65]

Answer:

  3 hours

Step-by-step explanation:

Angel's remaining distance is ...

  280 mi - 70 mi = 210 mi

At 70 miles per hour, it will take ...

  (210 mi)/(70 mi/h) = 3 h

to cover the remaining distance.

_____

The appropriate relationship is ...

  time = distance/speed

4 0
3 years ago
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