Answer:
The absolute value of any number will always be positive meaning that if you start with a positive number the sum of its absolute value will not be zero. Although if you start out with a negative number the sum of its absolute value will be zero.
Step-by-step explanation:
Dan started with 69 cards
Step-by-step explanation:
Let x be the initial number of cards
Then
According to "Dan bought 7 new baseball trading cards to add to his collection"
The next day his dog ate half of his collection.
There are now only 38 cards left.
Multiplying both sides by 2
Subtracting 7 from both sides
Hence,
Dan started with 69 cards
Keywords: Linear equation, word problems
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Answer:
C 1055 04 cm
Step-by-step explanation:
We don't need to see the figure, since we know for sure the cone fits into the cylinder (smaller diameter and height).
So, we first need to calculate the volume of the cylinder, which is given by the formula:
VT = π * r² * h
VT = 3.14 * 5² * 16 = 3.14 * 400 = 1,256 cubic cm
Then we calculate the volume of the cone, which is given by:
VC = (π * r² * h)/3
VC = (3.14 * 4² * 12)/3 = (3.14 * 192)/3 = 200.96 cu cm
Then we calculate the void space left inside the cylinder by subtracting the volume of the cone from the volume of the cylinder:
NV = VT - VC = 1,256 - 200.96 = 1,055.04 cu cm
To get that, you have to multiply the both numbers, which is 24*12=288
