Answer: E. (x,y) = (-19/5, 3/5)
Step-by-step explanation:
Answer: 25/7
Decimal form 3.57143.....
Answer:
A- X= 20÷5-3
B- 20÷5=4; 4-3=1
C- X=1
Step-by-step explanation:
Okay, well we have to work backwards. 20 cookies, and she makes 5 bags. We need to find out what 'x' means. To do that, we take 20 cookies and divide it by 5. 4 cookies. Then we want to take 3 cookies out of each bag to find out how many cookies she first put in. 1 cookie.
Let's check:
bag 1:
o (one cookie)
bag 2:
o (one cookie)
bag 3:
o (one cookie)
bag 4:
o (one cookie)
bag 5:
o (one cookie)
Now we have 15 cookies left. Now let's put 3 in each:
bag 1:
o (one cookie)
v v v ( three cookies)
bag 2:
o (one cookie)
v v v ( three cookies)
bag 3:
o (one cookie)
v v v ( three cookies)
bag 4:
o (one cookie)
v v v ( three cookies)
bag 5:
o (one cookie)
v v v ( three cookies)
Now we have no cookies left, and we put 4 cookies in each. (o representing the first cookie, v representing the next three cookies)
Let the actual value of the stool be x.
So if the carpenter sells the stool x rupees he neither loses, now wins anything.
67.50 is the value x - 10% of x, that is:
67.50=x-0.1x
67.50=0.9x
x=67.50/0.9=75 (rupees) is the actual value of the stool.
Selling the stool for 82.50 rupees, the carpenter clearly would make a profit, say of y% of that actual value, that is y%*75.
So using the same method:
82.50=75+y%*75
y%*75=82.50-75=7.5
we can make the calculations, but clearly 7.5 is 10% of 75
Answer: 10% gain.
Staals half
1 gram left
0.3 grams left
half lives are normally written in years
it goes likt this

A=final amount
P=initila amount
t=time elapsed
h=time half life is (same units as time)
let's use days as the units of time
we are given
initial amount=1gram
final amount=0.3gram
time=4 days
so

solve for h

take the ln of both sides


times both sides by h

divide both sides by ln(0.3)

use calculator
h=2.30287
3 sig figs
h=2.303 days