(a) He would drive 96 km in an hour because 1152 divided by 12 is 96
(b) He is technically on schedule because he is driving 104 km per hour, instead of 96, so if he keeps driving at the same rate, he should get there in under 12 hours
Answer:
b1 = 2 ; r = 3
Step-by-step explanation:
Given that :
if b3 −b1 = 16 and b5 −b3 = 144.
For a geometric series :
Ist term = a
Second term = ar
3rd term = ar^2
4th term = ar^3
5th term = ar^4 ;...
If b3 - b1 = 16;
ar^2 - a = 16
a(r^2 - 1) = 16 - - - (1)
b5 - b3 = 144
ar^4 - ar^2 = 144
ar^2(r^2 - 1) = 144 - - - - (2)
Divide (1) by (2)
a(r^2 - 1) / ar^2(r^2 - 1) = 16 /144
a / ar^2 = 1 / 9
ar^2 = 9a
Substitute for a in ar^2 - a = 16
9a - a = 16
8a = 16
a = 2
From ar^2 - a = 16
2r^2 - 2 = 16
2r^2 = 16 + 2
2r^2 = 18
r^2 = 18 / 2
r^2 = 9
r = √9
r = 3
Hence ;
a = b1 = 2 ; r = 3
One way you can rename it is by putting it into word form. Word form would be thirty thousand, but I don't know another way on how to express it.
Answer:
3780quarts, making 105 quarts per day
Step-by-step explanation:
36 is 2x18, so 210x18 equals 3780. divide 210 by 2 to get 105
It's the commutative property, which tells us the order in which you do this multiplication doesn't matter.
Please use * to indicate multiplication, not "x."
20*9*5 = 180*5 = 900
