The total number of digits used when the first 2002 positive even integers are written is 4 digits
<h3>How to find the number of sequence?</h3>
Using arithmetic sequence,
nth term = a + (n - 1)d
where
- a = first term
- d = common difference
- n = number of terms
a = 2
d = 2
nth term = 2 + (2002 - 1)2
nth term = 2 + 4002
nth term = 4004
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Answer:
c < - 6
Step-by-step explanation:
Given
3(2c - 8) - 10c > 0 ← distribute and simplify left side
6c - 24 - 10c > 0
- 4c - 24 > 0 ( add 24 to both sides )
- 4c > 24
Divide both sides by - 4, reversing the inequality symbol as a consequence of dividing by a negative quantity.
c < - 6
Answer:
Step-by-step explanation:
a|c means that c=a*k k is some positive integer. We know that b|c so b| ak and (a,b)=1, so it must be b|k, i.e k=b*r, r is some positive integer number. Now we have that c=abr, so ab| c.
B) if x and x’ are both solution then we have that
mi | x-x’ for every i.
By a) we have that m1m2...mk| x-x’, so x and x’ are equal by mod od m1m2...mk.
Let the money alleli initially had be x
Money after buying clothes = x-(1/2)x=(1/2)x
Money spent on shoes = (1/2)x × (1/3)x=(1/6)x
Remaining money = x minus( (1/2)x + (1/6)x)= (1/3)x
Also we know the remaining money is 1000
Therefore
(1/3)x = 1000
Multiplying 3 on both sides
X = 3×1000
X = 3000
The initial amount she had is 3000
Hope this is right!!
I believe the correct answer from the choices listed above is option C. The slope of the green line would be -4/3. Parallel lines <span> are </span>lines<span> in a plane which do not meet; that is, two </span>lines<span> in a plane that do not intersect or touch each other at any point. These lines should have equal slopes. Hope this answers the question.</span>
