A) 22:7
B) 29:22
29 - 7 = 22, so there are 22 yellow pencils.
There are 22 yellow pencils and 7 green pencils, so the ratio of yellow pencils to green pencils is 22:7.
There are 29 pencils, and 22 of them are yellow, so the ratio of all pencils to yellow pencils is 29:22.
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Answer: There are 
ways of doing this
Hi!
To solve this problem we can think in term of binary numbers. Let's start with an example:
n=5, A = {1, 2 ,3}, B = {4,5}
We can think of A as 11100, number 1 meaning "this element is in A" and number 0 meaning "this element is not in A"
And we can think of B as 00011.
Thinking like this, the empty set is 00000, and [n] =11111 (this is the case A=empty set, B=[n])
This representation is a 5 digit binary number. There are 
of these numbers. Each one of this is a possible selection of A and B. But there are repetitions: 11100 is the same selection as 00011. So we have to divide by two. The total number of ways of selecting A and B is the 
.
This can be easily generalized to n bits.
Since there are 12 months in a year, all we need to do is divide 27 pounds by 12, and we get that he lost, on average, 2.35lbs per month.
Answer:
1.28
Step-by-step explanation:
32% of 4
0.32 × 4
1.28
Answer:
5 weeks
$175
Step-by-step explanation:
Bill owes his mother $300 and plans to pay her $25 every week.
Therefore, after w weeks he has to give her mother more C = 300 - 25w, amount of money.
Steve owes his mother $550 and plans to pay her $75 every week.
Therefore, after w weeks he has to give her mother more C = 550 - 75w, amount of money.
If after w weeks they both will owe their mother the same amount of money, then
300 - 25w = 550 - 75w
⇒ w = 5 weeks. (Answer)
Now, the amount of money will be $(300 - 25 × 5) = $175. (Answer)
