Matt wins a "Magic the Gathering" trading card game tournament at his local game shop and is given two options as a prize:

Option A: 2 pack the first week, 8 packs the second week, 32 packs the third week, 128 packs the fourth week and so on for 6 weeks

Option B: 2500 packs of the newest set of "Magic the Gathering" cards now.

Part A: To obtain the most packs after 6 weeks,

Matt should choose option A or B?

Part B: What is the difference in the total number of packs between

the two options?

Group of answer choices

Option A, and 452

Option B, and 452

Option A, and 230

Option B, and 230

x= 3^y

step-by-step explanation:

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step-by-step explanation:

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delaney would like to make a 5lb nut mixture that is 60% peanuts and 40% almonds.

she has several pounds of peanuts and several pounds of a mixture that is 20% peanuts and 80% almonds.

let 'p' represent the number of pounds of peanuts needed to make the new mixture, and  

let 'm' represent the number of pounds of the 80% almond-20% peanut mixture.

:

p + m = 5

therefore

m = (5-p)

write an equation based on the percent of peanuts

1p + .2m = .6(5)

replace m with (5-p)

p + .2(5-p) = .6(5)

p + 1 - .2p = 3

p - .2p = 3 - 1

.8p = 2

p = 2/.8

p = 2.5 lbs of peanuts required

then

5 - 2.5 = 2.5 lbs of the peanut/almond mixture required

:

a) what is the system that models this situation?

p + m = 5

1p + .2m = .6(5)