40% of 45 =
.40 × 45 = 18
this is how many comedies he has.
45-18 = 27 action adventures.
What we know:
Total of 140 animals
Rabbits are 5 less than one-half of cats
20 more cats than dogs
Work:
We know that there are 20 more cats than dogs. So we subtract that from 140, making it 120.
- Why: If we subtract 20 from 140, 120, cats and dogs have the same number.
c = cats
The equation is: 140 = (1/2c - 5) + (c - 20) + c
I don't know how to solve it, but this is my way:
Cats: 70 66
Dogs: 40 46
Rabbits: 30 28
I tried sort of guessing. I got near the first time, so I tried reducing it. Second time, it was the answer!
There are 28 rabbits, 66 cat, and 46 dogs.
I'm sorry for not being able to use real work, but I hope this helps a little.
1x6=6
2x3=6
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1x15=15
3x5=15
-----------
So, common factors of 6 and 15 are:
1 and 3.
Answer:
Step-by-step explanation:
You are being asked to compare the value of a growing infinite geometric series to a fixed constant. Such a series will always eventually have a sum that exceeds any given fixed constant.
__
<h3>a)</h3>
Angelina will get more money from the Choice 1 method of payment. The sequence of payments is a (growing) geometric sequence, so the payments and their sum will eventually exceed the alternative.
__
<h3>c)</h3>
For a first term of 1 and a common ratio of 2, the sum of n terms of the geometric series is given by ...
Sn = a1×(r^n -1)/(r -1) . . . . . . . . . . series with first term a1, common ratio r
We want to find n such that ...
Sn ≥ 1,000,000
1 × (2^n -1)/(2 -1) ≥ 1,000,000
2^n ≥ 1,000,001 . . . . add 1
n ≥ log(1,000,001)/log(2) . . . . . take the base-2 logarithm
n ≥ 19.93
The total Angelina receives from Choice 1 will exceed $1,000,000 after 20 days.
Answer:
C. x = -2
Step-by-step explanation:
A proper graph of the function will have an open circle at (-2, 5/3), so you should be able to read the answer from the graph.
The factorization is ...
... f(x) = 5(x +2)/((x +5)(x +2))
The removable discontinuity is created by the factor (x+2)/(x+2), which is undefined at x = -2.