Answer:
84 different lineups are possible
Step-by-step explanation:
The order in which the songs are chosen is not important. So we use the combinations formula to solve this question.
Combinations formula:
is the number of different combinations of x objects from a set of n elements, given by the following formula.

In this question:
6 musics from a set of 9. So

84 different lineups are possible
Answer:
The $2,000 decrease in Carlos's taxable income will save him

Step-by-step explanation:
i) Carlos is in the 12% tax bracket.
ii)The $2,000 decrease in Carlos's taxable income will save him

6 large + 5 small = 127 kg ------------ (1)
2 large + 3 small = 51kg ------------ (2)
<u>(2) x 3 :</u>
6 large + 9 small = 153 ---------------- (2a)
<u>(2a) - (1) :</u>
4 small = 26
1 small = 6.5kg ------------ (sub into equation 1)
6 large + 5 small = 127 kg
6 large + 5(6.5) = 127
6 large + 32.5 = 127
6 large = 127 - 32.5
6 large = 94.5
1 large = 15.75 kg
Answer: The small box weighs 6.5kg and the big box weighs 15.75 kg
Answer:
4.5 yard width, 12 yard length
Step-by-step explanation:
36 divided by 4 = 9
so then you take 3 times 9 which is 27 so the answer is
g=27