50 / (3/7) =
50 * 7/3 =
350/3 =
116.66....so it would fill 116 glasses
5 nail polish and 4 lip gloss
5 x 4.5 =22.5
4 x 7 =28
28+22.5=50.50
We have that
an=<span>10 * 5n---------------> an=50*n
then
for n=1
a1=50*1=50
</span>for n=2
a2=50*2=100
for n=3
a3=50*3=150
for n=4
a4=50*4=200<span>
the answer is
</span><span>the first four terms are [50,100,150,200]</span><span>
</span>
Answer:
Step-by-step explanation:
Let 
represent students playing basketball, 
represent students playing baseball.
Then, 
, 
Let 
be the total number of students. So, 
.
Now,
3 students play neither of the sport. So, students playing either of the two sports is given as:
∴ 
From the probability addition theorem,
Where, 
is the probability that a student chosen randomly from the class plays both basketball and baseball.
Plug in all the values and solve for . This gives,
Therefore, the probability that a student chosen randomly from the class plays both basketball and baseball is
Expanding the limit, we get (x^2+2x∆x+∆x^2-2x-2∆x+1-x^2+2x-1)/<span>∆x
Crossing the 1s , the 2xs, and the x^2s out, we get
(2x</span>∆x+∆x^2-2∆x)/<span>∆x
Dividing the </span><span>∆x, we get
2x+</span><span>∆x-2.
Making the limit of </span><span>∆x=0, we get 2x-2.</span>
