Step-by-step explanation:
the introduction of a fraction tells us that we are dealing with multiplications, and therefore a geometric sequence (where every new term is created by multiplying the previous term by a constant factor, the ratio r).
I think your teacher made a mistake, or you made one when typing the question in here.
there is no factor r that creates
15×r = 9
and
9×r = 5/27
it would mean that
15 × r² = 5/27
r² = 5/27 / 15 = 5/27 × 1/15 = 5/405 = 1/81
r = 1/9
but 15 × 1/9 = 5 × 1/3 = 5/3 is NOT 9
and 9 × 1/9 = 9/9 = 1 is NOT 5/27
so, this can't be right.
on the other hand
15 × r = 9
r = 9/15 = 3/5
and then
9 × 3/5 = 27/5
so, either the sequence should have been
15, 5/3, 5/27
or (and I suspect this to be true)
15, 9, 27/5
under that assumption we have
s1 = 15
r = 3/5
sn = sn-1 × r = s1 × r^(n-1) = 15 × (3/5)^(n-1)
s10 = 15 × (3/5)⁹ = 15 × 19683/1953125 =
= 3 × 19683/390625 = 59049/390625 =
= 0.15116544 ≈ 0.151
Answer: .375
Step-by-step explanation:
Instead of doing 8/3 it would be 3/8 since there are 8 cars being put inside of 3 feet. Therefore, 3/8= .375
If you were selling an items for $35.50 as the original price, but you give 30% off the item price then the result of it's cost would be:
Sale / Discounted Price: $26.95
Then if you're wondering, you'll be saving this amount of money:
Amount Saved (Discount): $11.55
Hope this helps!
290 * 7 = 1400 + 630 = 2,030
2030 - 7 = 2,023
Answer:
Step-by-step explanation:
first you need to put the equation in y=mx+b form
y-3=(-1/2)(x+4)
y-3= (-1/2x)+4
y=-1/2x+1
then you just graph
the y intercept is 1 and the slope is -1/2 so it’s going to be a negative graph and it starts from 1 on the y axis
