Answer:
8:16
Step-by-step explanation:
<h3>
Answer: 375</h3>
=========================================
Work Shown:
a = 300 = first term
r = 60/300 = 0.2 = common ratio
We multiply each term by 0.2, aka 1/5, to get the next term.
Since -1 < r < 1 is true, we can use the infinite geometric sum formula below
S = a/(1-r)
S = 300/(1-0.2)
S = 300/0.8
S = 375
----------
As a sort of "check", we can add up partial sums like so
- 300+60 = 360
- 300+60+12 = 360+12 = 372
- 300+60+12+2.4 = 372+2.4 = 374.4
- 300+60+12+2.4+0.48 = 374.4+0.48 = 374.88
and so on. The idea is that each time we add on a new term, we should be getting closer and closer to 375. I put "check" in quotation marks because it's probably not the rigorous of checks possible. But it may give a good idea of what's going on.
----------
Side note: If the common ratio r was either r < -1 or r > 1, then the terms we add on would get larger and larger. This would mean we don't approach a single finite value with the infinite sum.
Solution
The dimension of the rectangular floor is 18ft long and 12 ft wide
Using the conversion table
It is given that 1yd =3 ft
This shows that
12 feet will be equivalent to
Also 18ft will be equialent to
Therefore the new dimension is 6 yard by 4 yard
The area will be
Therefore the required area is
Answer:
0
Step-by-step explanation:
the answer is 0
because it neither rises nor fall
Answer:
This is the distributive property
Step-by-step explanation:
You use the distributive property to allocate a number outside of the parentheses to inside the parentheses.
For this example, they distributed a to both b and c making it a*b + a*c
This will result in the same answer:
3/5(-2 + 10/13) = 3/5*-2 + 3/5*10/13
3/5(-1.23..) = -6/5 + 30/65 (..= approx)
approximately- 0.74 = -0.74
