Casey is 18 years old and Ralph is 3 years old.
Step-by-step explanation:
Let,
Age of Casey = x
Age of Ralph = y
According to given statement;
x = 6y Eqn 1
In two years
x+2=4(y+2)
x+2=4y+8
x = 4y+8-2
x = 4y+6 Eqn 2
Putting value of x from Eqn 1 in Eqn 2

Dividing both sides by 2

Putting y=3 in Eqn 1

Casey is 18 years old and Ralph is 3 years old.
Keywords: word problems, substitution method
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Answer:
500 flags each
Step-by-step explanation:
If 40 schools receive 250 each, then in total, that's 10,000
25,000 - 10,000 = 15,000. There are 30 schools remaining, so we divide. 15,000 / 30 = 500, so...
40 schools get 250 flags each, and the other 30 schools get 500 flags each.
sin(π/6) is independent of x, so

Answer:
30cm^2
Step-by-step explanation:
area of large rectangle = length x width
= 5 X 9 = 45 cm^2
area of small rectangle = length x width
= 3 X 5 = 15 cm ^2
45 - 15 = 30cm^2