4. 6/8, 5. 3 5/8, 6. 7 7/8, 7. 72 months and 2,190 days
100 notes were altogether
<em><u>Solution:</u></em>
Given that ratio of the number of $2 notes to the number of $5 notes was 4 : 1
number of $2 notes : number of $5 notes = 4 : 1
Let 4x be the number of $ 2 notes
Let 1x be the number of $ 5 notes
Given that total value of notes is $ 260
Therefore,
$ 2 (number of $ 2 notes ) + $ 5(number of $ 5 notes ) = $ 260
$ 2(4x) + $ 5(1x) = $ 260
8x + 5x = 260
13x = 260
x = 20
<em><u>Thus number of notes altogether is given as:</u></em>
4x + 1x = 4(20) + 1(20) = 80 + 20 = 100
Thus 100 notes were altogether
The correct answer is letter "<span>B. (3x – 2)(x + 3)."
</span>
This is how to factor the given polynomial:
<span>3x^2 + 7x – 6
(3x - 2) (x + 3)
It takes trial and error in order to get the final factor of a given polynomial. It has to be exact and correctly done.</span>
Answer:
a. 4 out of the 5 are boys.
b. only 1 of the 5 is a girl.
