Sophia has three stickers for every two stickers that Ethan has. If Sophia gives Ethan 16 of her stickers, then Ethan will have twice as many stickers as Sophia has.
How many stickers do Ethan and Sophia have all together?

  60

Step-by-step explanation:

Let s represent the number of stickers Sophia has. Then the number Ethan has is (2/3)s. The transfer of 16 stickers can be described by the equation ...

  (s -16)/(2/3s +16) = 1/2 . . . . . sophia/ethan = 1/2 after the transfer

  2s -32 = 2/3s +16 . . . . . . . . .cross multiply

  4/3s = 48 . . . . . . . . . . . . . . . add 32-2/3s

  s = (48)(3/4) = 36 . . . . . . . . .multiply by 3/4

Together, the total number of stickers held is s +(2/3)s = (5/3)s.

  5/3s = (5/3)(36) = 60 . . . . . total of Sophia's and Ethan's stickers

Together, Sophia and Ethan have 60 stickers.

40

Step-by-step explanation:

Let number of stickers Sophia has be "x" and number of stickers Ethan has be "y"

Now,

Sophia has 3 for every 2 ethan has, that means

3x = 2y

When sophia gives 16, she will have:

3x - 16

Ethan, after getting 16, will have:

2y + 16

This trade will make Ethan to have TWICE, so we can write:

2(3x-16) = 2y + 16

Now, the 1st equation can be written as:

3x = 2y

x = 2y/3

Now replacing this into 2nd, we solve for y:

So, x is:

Ethan and Sophia has:

24 + 16 = 40 stickers altogether

SI=(P*R*T)/100

P=2000

R=1.5

T=6

SI=(2000*1.5*6)/100

=(2000*9)/100

=180

Neil will earn interest of 180

For every 8 cars there are 7 trucks

Therefore,

Cars:Truck=8:7

Answer is B)8:7

y=2x+15

where y=Value of coin

x=Age in years

Value of coin after 19 years=2*19+15

=$53

Therefore, Value after 19 years=$53

The answer is in the image 

F=ma

where F=force

m=mass

a=acceleration

Here,

F=4300

a=3.3m/s2

m=F/a

    =4300/3.3

    =1303.03kg

Approximately it is aqual to 1300kg

Salesperson will make 6% of 1800

=(6/100)*1800

=108

Salesperson will make $108 in $1800 sales

Here,

tip=18%of $32

tip=(18/100)*32

=0.18*32

=$5.76

Total payment=32+5.76=$37.76

The wood before starting =12 feet

Left wood=6 feet

Wood used till now=12-6=6 feet

Picture frame built till now= 6/(3/4)

=8 pieces

Therefore, till now 8 pieces have been made.