Answer:
Total number of quarters=10
Total number of nickels=19
Step-by-step explanation:
The expression for the total value of money you have is;
Quarters have a value of= $0.25
Nickels have a value of= $0.05
Total value=(value of quarters×number of quarters)+(value of nickels×number of nickels)
where;
Total value=$3.45
Value of a quarter=$0.25
number of quarters=x
Value of a nickel=0.05
number of nickels=y, but y=x+9
replacing;
3.45=(0.25×x)+0.05(x+9)
3.45=0.25 x+0.05 x+0.45
3.45=0.3 x+0.45
0.3 x=3.45-0.45
0.3 x=3
x=3/0.3
x=10
y=x+9=10+9=19
Total number of quarters=10
Total number of nickels=19
Answer: y=x+3.5
The function of the original equation (the data table) is y=1/2x+3.5
So 1/2 times 2 is 1 and the y intercept (the initial value) is the same! I hope I helped
The initial length of the blue ribbon = 1.6 meters
Step-by-step explanation:
Here, according to the question:
The initial length of orange ribbon = 2 meters
Let us assume the initial length of blue ribbon = S meters
Now, the length of blue ribbon = (4/5) times the length of orange ribbon
x Length of Orange ribbon
or S = 1.6 meters
Hence, the initial length of the blue ribbon is 1.6 meters.
Start with trying to figure out rate (r):
P = i•e^rt
5200 = 4000•e^(r•7)
5200/4000 = 1.3 = e^7r
ln 1.3 = ln (e^7r)
.262 = 7r•1, because the ln (e) = 1
r = .262/7 = .0375
Now that you have the rate, plug in that for r and 9 hours as the new t, with again our 4200 as the i
P = i•e^rt = 4200•e^(.0375•9)
P = 4200•1.401 = 5,886 bacteria
