Answer:
The eldest of them is Brian and he is 24 + 2 = 26 years old.
Step-by-step explanation:
Let
Malachy age = a
Brian age = a + 2
Caroline age = a - 8
Total of their age = a + (a + 2) + (a - 8)
66 = a + (a + 2) + (a - 8)
collect like terms
66 = a + a + 2 + a - 8
66 = a + a + a - 6
3a = 66 + 6
3a = 72
divide both sides by 3
a = 72/3
a = 24
Malachy age is 24 . Caroline is 24 - 8 = 16 years old.
The eldest of them is Brian and he is 24 + 2 = 26 years old.
Answer:
1/8 or 0.125
Step-by-step explanation:
Let x be the length of the sides of the square ABCD.
Therefore, the length of CN and CM is x/2.
The area of the triangle MCN is:
The area of the square ABCD is:
Thus, the probability that a random point lies in the triangle MCN is:
The probability that the point will lie in the triangle MCN is 1/8 or 0.125.
Unit rate is (cost) per 1 unit
the unit is fluid oz
'per' is fraction
cost/1unit
so we do
2.56/32
divide completely
2.56/32=0.08/1
the unit rate is $0.08 per oz
Answer: the rate of the jet in still air is 685 mph and the rate of the jetstream is 75 mph
Step-by-step explanation:
Let x represent the rate of the jet in still air.
Let y represent the rate of the jet jetstream.
Distance = speed × time
Flying against the jetstream, a jet travels 3050 miles in 5 hours. This means that the total speed of the jet would be (x - y) mph. Therefore,
3050 = 5(x - y)
3050/5 = x - y
x - y = 610 - - - - - - - - - - - - - -1
Flying with the jetstream, the same jet travels 3800 miles in 4 hours. This means that the total speed of the jet would be (x + y) mph. Therefore,
3800 = 4(x + y)
3800/5 = x + y
x + y = 760 - - - - - - - - - - - - - -2
Adding equation 1 to equation 2, it becomes
2x = 1370
x = 1370/2 = 685mph
Substituting x = 685 into equation 1, it becomes
685 - y = 610
y = 685 - 610 = 75mph
