Answer:
n=-13, n=12
Step-by-step explanation:
Answer:
151°
Step-by-step explanation:
Supplementary angles equal 180°, so all you have to do here is subtract 29 from 180 to get 151° as the supplement.
Jelly beans - $0.98 per pound
chocolate drops - $0.67 per pounds
Terri's bag = 2.1 pounds and $1.56
p = represents the pounds jelly beans.
c = represents the pounds in chocolate drops
p + c = 2.1
0.98p + 0.67c = 1.56
c = 2.1 - p ; number of pounds of chocolate drops
0.98p + 0.67(2.1 - p) = 1.56
0.98p + 1.41 - 0.67p = 1.56
0.98p - 0.67p = 1.56 - 1.41
0.31p = 0.15
p = 0.15/0.31
p = 0.48 pounds of jelly beans
c = 2.1 - 0.48
c = 1.62 pounds of chocolate drops.
Answer:30
Step-by-step explanation:
Find the prime factorization of 6
6 = 2 × 3
Find the prime factorization of 10
10 = 2 × 5
Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 2 × 3 × 5
LCM = 30
<span><span>∑<span>i=2</span><span>i=10</span></span>(4+2n)=</span><span>
You can do it by hand, w/o much work .
plug in n=2 into (4+2n)
then plug in n=3 into (4+2n)
then plug in n=4 into (4+2n)
etc until you get to n=10. Add them all up.
</span><span>add 8 + 10 + 12 + 14 + 16 + 18 + 20 + 22 + 24
</span><span>144 jumps!</span>