Speed of the ship in the second hour = (62.5 * x ) / 100 kph.
In third hour it is [(62 * x) / 100 ] * x/100]
is 4th hour its is the above * x/100 again so we can now form the equation
62.5x x x
------- * ---- * ---- = 32
100 100 100
62,5 x^3 = 32,000,000
x^3 = 512,000
x = 80 <----- Answer to (a)
(b) Ship travels 62.5 in first hour then this falls by a common ratio of 0.8 each hour so we have a geometric sequence
Dist travelled in 6 hours = a1 1 - r^n
-------- = 62.5* (1 - 0.8^6) / 1 -0.8 = 230.56
1 - r
Answer is 230.56 km
These 'l l' lines mean absolute value. essentially it's asking how many units away from 0 a number is. Because of this all absolute values are positive numbers
l-18l=18
n > -6 is the inequality for 16 plus 5 times a number is more than the number minus 8
<em><u>Solution:</u></em>
Given statement is:
16 plus 5 times a number is more than the number minus 8
We have to write a inequality
From given statement,
16 plus 5 times a number is more than the number minus 8
Let the number be "n"
Therefore,
16 plus 5 times "n" is more than "n" minus 8
Here, "plus" means addition and "minus" means subtraction and "times" means multiplication
Thus the statement is translated into inequality as:
Simplify the inequality
Thus the soultion is n > -6
I'm not entirely sure about some of these because there could be multiple answers, i think. i'll just leave the ones i can't help you with blank.
1) Begin to (isolate) the (variable) by eliminating the (constant). To eliminate the constant, you want to make it (cancel?) because ___+___=___)
2) (Balance) your equation by doing the exact same thing in the opisite side of the (equal sign).
3) Finish (isolating) the (variable) by eliminating the (coefficient). To eliminate the coefficient, you want to make it (cancel?) because ___x___=___,
4) (Balance) your equation by doing the exact same thing on the opposite side of the (equal sign).
5) Check your answer by (plugging) it in or the _____.
honestly, i find it really amusing that they found a way to break a TWO-step equation into 5 steps ?? but i hope this helps a little!!
