Answer:
4
Step-by-step explanation:
The sum of n terms of a geometric series with first term a1 and common ratio r is given by ...
Sn = a1·(r^n -1)/(r -1)
for r=5 and n=6, this becomes ...
15624 = a1·(5^6 -1)/(5 -1) = a1·(15624/4)
Then we have ...
1 = a1/4 . . . . . divide by 15624
4 = a1 . . . . . . multiply by 4
The first term of the series is 4.
(length of tree's shadow)/(height of tree) = (length of person's shadow)/(person's height)
24/x = 8/5
24*5 = x*8
120 = 8x
8x = 120
8x/8 = 120/8
x = 15
The tree is 15 feet tall
2x-2y
parallel means that the x part is the same
and it is -2y because the y-coordinate is -2
Step-by-step explanation:
2(heads) + 2(goats) = 140
Heads are given, so we get:
2(52) + 2(goats) = 140
104 + 2(goats) = 140
2(goats) = 36
goats = 18
Since we know the number of goats, we know the number of chickens.
34Chickens and 18 goats.
