Apricots is 8.75 per pound and is less expensive than almonds per pound (10.99). To find how much less expensive you subtract apricots from almonds. 10.99-8.75= 2.24.
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Step-by-step explanation:
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This is a simple problem based on combinatorics which can be easily tackled by using inclusion-exclusion principle.
We are asked to find number of positive integers less than 1,000,000 that are not divisible by 6 or 4.
let n be the number of positive integers.
∴ 1≤n≤999,999
Let c₁ be the set of numbers divisible by 6 and c₂ be the set of numbers divisible by 4.
Let N(c₁) be the number of elements in set c₁ and N(c₂) be the number of elements in set c₂.
∴N(c₁) =

N(c₂) =

∴N(c₁c₂) =

∴ Number of positive integers that are not divisible by 4 or 6,
N(c₁`c₂`) = 999,999 - (166666+250000) + 41667 = 625000
Therefore, 625000 integers are not divisible by 6 or 4
The First One
The Third One
The Forth One
The others result in a lower number than what they are supposed to be. The 3 correct ones end with the exact number of the equations solution number.
Let's convert the equation in point-slope form to slope-intercept form.
y - 4 = -(x - 6)
Multiply everything out.
y - 4 = -x + 6
Add 4 to both sides.
y = -x + 10
To be perpendicular, the slope of the new has to be the reciprocal of the other line. To slope in this equation is -1/1. To get the reciprocal, flip the numerator and denominator and change the sign too.
-1/1 becomes 1/-1, and changes to 1/+1, or 1.
y = x + b
Input the coordinate point and solve for b.
-2 = -2 + b
Add 2 to both sides.
0 = b
y = x