Let t represent the time the stone fell in the air.
distance = speed * time
t*16 + (12-t)*3 = 127 . . . . . total length of travel
13t = 91
t = 7 . . . . . time in air
The stone fell 7 seconds in the air, then 5 seconds in the water.
Answer:
8 positive integers.
Step-by-step explanation:
One value of n would be 15 because 225 = 15^2.
Other values are 225 * n where 15n <= 1000 and n is a perfect square.
So n = 4 gives us 225* 4 = 900 which is a perfect square and 15*4 = 60.
n = 9 gives us 225 * 9 which is a perfect square and 15*9 = 135.
n = 16 gives us 225*16 and 15*16 = 240 , so OK.
n = 25 gives a perfect square and and 15*25 = 375 - so OK.
n = 36 gives a perfect square and 15*36 = 540 - so OK.
n = 49 gives a perfect square and 15*49 = 735 - so OK.
n = 64 gives a perfect square and 15*64 = 960 - so ok.
n = 81 gives a perfect square and 15 * 81 = 1215 so NOT ok.
Answer:
12 years
Step-by-step explanation:
Given that Mr. Hon purchases a new car every 4 years. Ms. Jasper purchases a new car every 6 years.
Assuming that they purchase new cars together after n years.
So, n must a multiple of 4 as well as multiple 6, i.e the number n is the lowest multiple (LCM) of 4 and 6.
As LCM od 4 and 6 is 12, so n=12.
Hence, after 12 years they will purchase news cars together.
Answer:
option A is correct answer
divide both sides with 2
hope it helps
