We already know from the given data that 6 pencils can be bought for 59 cents. We have to determine the number of pencils that can be bought for $2.95.
So
Price of 6 pencils = 59 cents.
Price of 1 pencil = (59/6) cents
= 9.83 cents
Now total amount in hand for buying pencils = $2.95
= 295 cents
Then the number of pencils that can be bought for 295 cents = (295/9.83)
= 30.01
So the maximum number of pencils that can be bought for $2.95 is 30 pencils.
Answer:
Step-by-step explanation:
Volume =
find partial derivatives using product rule
i.e.
Using maximum for partial derivatives, we equate first partial derivative to 0.
y=0 or x+y =6
x=0 or x+4y =12
Simplify to get y =2, x = 4
thus critical points are (4,2) (6,0) (0,3)
Of these D the II derivative test gives
D<0 only for (4,2)
Hence maximum volume is when x=4, y=2, z= 4/3
Max volume is = 4(2)(4/3) = 32/3
Pretty sure the answer would be 16.
Because 7.6 rounds to 8 and 1.4 would round up to 2. Then you multiply 8 & 2 and get 16.
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Step-by-step explanation:
-x, -(x+1)
-x-(x+1)=10506
x^2+x-10506=0