Answer:
She runs 4 miles in one hour
Step-by-step explanation:
5 divided by 1.25=4
Step-by-step explanation:
x/3+x/6=7/2
We simplify the equation to the form, which is simple to understand
x/3+x/6=7/2
Simplifying:
+ 0.333333333333x+x/6=7/2
Simplifying:
+ 0.333333333333x + 0.166666666667x=7/2
Simplifying:
+ 0.333333333333x + 0.166666666667x=+3.5
We move all terms containing x to the left and all other terms to the right.
+ 0.333333333333x + 0.166666666667x=+3.5
We simplify left and right side of the equation.
+ 0.5x=+3.5
We divide both sides of the equation by 0.5 to get x.
x=7
Answer:
funny funny
Step-by-step explanation:
Answer:
1/6
Step-by-step explanation:
We want to find how long it takes for the bacteria to lose half its size. We can do this by taking one point of the bacteria and finding how long it takes to go to half its size. When t=0, 9300 * (1/64)^t = 9300 * 1 = 9300 as anything to the power of 0 is 1. Therefore, we can solve for t when the end result of the bacteria is 9300/2= 4650, making our equation
4650 = 9300 * (1/64)^t
divide both sides by 9300
1/2 = (1/64)^t
First, we can tell that 2^6 = 64*. Because of this, we can say that (1/2)^6 = 1^6/2^6 = 1/64, so (1/64)^(1/6) = 1/2. We know this because
(1/2)^6 = 64
take the 6th root of both sides
(1/2) = (64)^(1/6)
. This means that t=1/6, so the bacterial culture loses 1/2 of its size every 1/6 seconds
* if this is harder to figure out, e.g. 3 and 729, we can plug (log₃729) into a calculator
