Answer:
V = 160mph
Step-by-step explanation:
We need to start from the formula of speed: V=d/t
We have two travels, with and against the wind, both done in the same time.
Clearing t from the formula, we will have: t=d/V2
450miles/V-35mph (speed of the wind is subtracted)
702miles/V+35mph (speed of the wind is subtracted)
Now, we find V:
450miles/V-35mph = 702miles/V+35
450*V+35 = 702*V-35
450V+15,750 = 702V-24,570
702V-450V = 15,750 + 24,570
252V = 40,320
V = 40,320/252
V = 160mph
Answer:
3 animals
Step-by-step explanation:
- combine like terms
- 6 + 2x = 15 + x
- -6 + x - 6 - x
--------------------------
3x = 9
2. divide both sides by 3
Lizzy's new neckalce cost 0.4 cents less than lucy's neckalce that cost 0.29. cents.How many cents did lizzy's neckalce cost.
Answer:
(a) 1 inch of rider ⇒ 0.29 inches of frame
Step-by-step explanation:
The "slope" in the equation is the coefficient of the independent variable. Here, that variable is "h", and its coefficient is 0.29. That is, the height of the rider is multiplied by 0.29 (and a constant is added) in order to find the height of the frame.
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The meaning of the value 0.29 is that a 1 inch increase in the rider's height should result in a 0.29 inch increase in the height of the frame of the bike.
The question asks for an <em>explanation</em> of the slope, not its function in the equation. That is why we have chosen the first answer.
Answer:
The even numbers between 0 and X represents an arithmetic sequence with a common difference of 2
The rule of arithmetic sequence = a + d(n - 1)
Where a is the first term and n is the number of terms
So, for the even numbers between 0 and X
The first term = a = 0
d = 2
So, we need to find n at the last term which is X
∴ X = 0 + 2 ( n -1 )
∴ n - 1 = X/2
∴ n = X/2 + 1
The sum of the arithmetic sequence = (n/2) × (2a + (n−1)d)
Substitute with a and d and X
So, the sum = (n/2) * (2*0 + (n−1)*2)
= (n/2) * ((n−1)*2)
= n(n-1)
= (X/2 + 1) * (X/2)
= X/2 by (X/2 + 1)
So, The quick way to add all even numbers between 0 and X always works.
