4/3
40/30
60/45
Simply multiply or divide both the 20 and the 15 to get an equivalent ratio.
Answer:
8b + 27 ≤ - 29
Step-by-step explanation:
Sum of a number can be written as x or in this case as b because it is an unknown number.
b is multipled by 8 so 8b
"and 27" indicates an addition so therefore, 8b + 27
"at most -29" This is a little bit tricky but ultimately it means 8b + 27 cannot be more than -29. Therefore, it must be lesser than.
However there is a line underneath that lesser than sign meaning lesser than or equal to. I believe that "at most" indicates equal to.
Other than the lesser than or equal to sign I'm unsure about, this inequality should be correct.
Answer:
$3.70
Step-by-step explanation:
$25.30 = 2P + 4D. p for popcorn and d for drinks
P= $5.25
$25.30 = 2($5.25) + 4D
$25.30 = $10.50 + 4D
-10.50. -10.50
inverse operations
$14.80 = 4D
÷4. ÷4
Inverse operations
$3.70 = D
We use P = i•e^rt for exponential population growth, where P = end population, i = initial population, r = rate, and t = time
P = 2•i = 2•15 = 30, so 30 = 15 [e^(r•1)],
or 30/15 = 2 = e^(r)
ln 2 = ln (e^r)
.693 = r•(ln e), ln e = 1, so r = .693
Now that we have our doubling rate of .693, we can use that r and our t as the 12th hour is t=11, because there are 11 more hours at the end of that first hour
So our initial population is again 15, and P = i•e^rt
P = 15•e^(.693×11) = 15•e^(7.624)
P = 15•2046.94 = 30,704
Answer:
6(3)-3
Step-by-step explanation:
