Suppose J, K, L, M, N are points on the same line.
MK = MN + (-KN) = MN - KN = 9x - 11 - x - 3 = 8x - 14
Since LK = MK and LK = 7x - 10, then
7x - 10 = 8x - 14
8x - 7x = -10 + 14
x = 4
LJ = MK + KJ
MK = LK = 7x - 10 = 7(4) - 10 = 28 - 10 = 18
LJ = 18 + 28 = 46
Because temperature is decreasing we can say that after one hour new temperature is -6° from starting temperature.
After 5 hours temperature will drop:
5*(-6) = -30 because temperature decrease is constant on each hour.
The answer is -30°
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It's +10 and - 8.
So 10-8 =2. He'll record +2 or just 2
5.
Let x be the age of the father and y be the age of the son. As of today, he's 3 times older, so we have
10 years ago their ages were, respectively, x-10 and y-10, and the father was 5 times older:
So, we have the system
Using the first equation, we can substitute every occurrence of "x" with "3y" in the second equation:
So, the son is 20 years old, which means that the father is 60 years old.
Indeed, 10 years ago they were 10 and 50 years old, so the father was 5 times older.
6.
Let x be the age of the grandfather and y the age of the granddaughter. We know that the grandfather is 10 times older:
He also is 54 years older:
Again, if we substitute x=10y in the second equation we have