1) 199/30
2) 95/12
3) 47/10
4) 103/15
5) 83/10
6) 221/30
<u><em>Answer: </em></u>
#9: 5
#10: -2
#11: -1.5
<em><u>Step-by-step explanation:</u></em>
<em><u>#9:</u></em> 3,8,13,18,23,(28),(33),(38),.. <em>Go up by 5 each time, so the common difference is </em><u><em>5</em></u><em>.</em>
<u><em>#10:</em></u> 11,9,7,5,3,(1),(-1),(-3),... <em>Go down </em><em>(-)</em><em> by 2 each time, so the common difference is </em><u><em>-2</em></u><em>.</em>
<u><em>#11:</em></u> 3, 1.5, 0, -1.5, -3, (-4.5), (-6), (-7.5),... <em>Go down </em><em>(-) </em><em>by 1.5 each time, so the common difference is </em><u><em>-1.5</em></u><em>.</em>
30% converted to a decimal is 0.30
310 x 0.3 = 93 students play an instrument
Remark
The closest answer is D, but the answer has to be rewritten: f(x) = - 2/3 (6)^(x - 1) where x is 1,2,3,4,5,6 .... to plus infinity. If that is not what you are given, there is no answer.
Discussion
The minus sign is misplaced. There are 2 reasons.
1. When x is odd, then the minus sign is not there and every other term will be plus.
2. For a related reason, you cannot get a minus 2/3 if the sign is affected by the power. The first term must be -2/3. (-6)^0 power is 1 not -1
Answer: There is no answer, but you could try C if D does not work.
Answer:
m>−2
Step-by-step explanation:
3-2m<7
subtract 3 from both sides
-2m<4
divide by 2
m>−2