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Lady bird [3.3K]
3 years ago
10

james has a card collection with 64 basketball cards, 32 football cards, and 24 baseball cards. he wants to arrange the cards in

equal piles, with only one type of card in each pile. How many can he put in each pile?
Mathematics
1 answer:
____ [38]3 years ago
5 0
64+32=96
96+24=120
120÷3=40
Lee can put 40 cards in each pile.
Your final answer is 40.
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If (1/4)^(x+y) = 256 and log₄(x-y) = 3, what are the exact values of x and y
andrew-mc [135]

Answer:

x = 30 and y = -34

Step-by-step explanation:

Given the following functions

(1/4)^(x+y) = 256... 1

log₄(x-y) = 3.... 2

From equation 2;

x-y = 4³

x-y = 64

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Substitutw 3 into 1

From 1:

(1/4)^(x+y) = 256

(1/4)^(64+y+y) = 256

(1/4)^(64+2y) = 256

Take log₄ of both sides

64+2y log₄ (1/4) = log₄256

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-(64+2y) = 4

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2y = -4 - 64

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y = -34

Since

x = 64 + y .

x = 64 - 34

x = 30

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