Answer: 7
Step-by-step explanation:
You are given that Bill bought 38 1/2 feet of wire. Convert the mixed fraction into improper fraction.
The length L1 = 77/2
You are given that he cut the wire into several pieces, each one measuring 5 1/2 feet. Convert it too to improper fraction.
The length L2 = 11/2
To know how many number of pieces of wire he have after making the cuts, divide length L1 by length L2. That is,
L1/L2 = 77/2 ÷ 11/2
Change the division to multiplication by reciprocating 11/2 to 2/11
77/2 × 2/11 = 77/11 = 7
Therefore, he had 7 pieces of wires after making the cuts.
Answer:
18.75%
Step-by-step explanation:
percent increase = × 100%
Increase in cost = $38 - $32 = $6
percent increase = × 100% = = 18.75%
Factor 4
4=1 times 4
2 times 2
they don't add to 2
set up equation
x+y=2
xy=4
first equation, subtract x from both sides
y=2-x
subsitute for y
x(2-x)=4
distribute
2x-x^2=4
add x^2
2x=x^2+4
subtract 2x
0=x^2-2x+4
use quadratic formula which is
if you have ax^2+bx+c=0 then
x=
so
1x^2-2x+4=0
a=1
b=-2
c=4
x=
x=
x=
we have
and that doesn't give a real solution
therefor there are no real solutions
but if you want to solve fully
x=
i=
x=
x=
x=
or x=
(those are the 2 numbers)
If the half-life is t, then every t days, the amount of the radioactive isotope will be cut in half.
(1/2)^(number of half-lives) = 3%
number of half-lives = ln(0.03) / ln(0.5)
This gives the number of half-lives as 5.06.
Then 300 days = (5.06)(length of 1 half-life)
length of 1 half-life = 300 / 5.06 = 59.29 days