Answer:
for second and third letters, we again have 26 combinations available and thus 26×26×26=17576 combinations for letters. But digits are from 0 to 9 i.e. 10 combinations for each place and tolal 10×10=100 combinations. Hence for LLLDD , we have 1,757,600 combinations available for license plates.
Step-by-step explanation:
<span>Hollis travels 0.05 miles per minute faster than Charmaine.
First, convert to the same units for both Hollis and Charmaine. So Hollis takes 18.5 minutes and Charmaine takes 0.5*60 = 30 minutes. Both girls travel 2.4 miles, so calculate how many miles per minute each takes
Hollis = 2.4 / 18.5 = 0.13 miles per minute.
Charmaine = 2.4 / 30 = 0.08 miles per minute.
Finally determine the difference in speed between the two girls.
0.13 - 0.08 = 0.05 miles per minute.</span>
Answer:2/5
Step-by-step explanation:
First, you should make a graph plotting "h" as the y-axis and "t" as the x-axis. Then, you can plot the equation they give you in the question.
Part A is asking about the slope of the graph. Basically, you need to find the rise over the run each second.
Part B is asking about the "h"-intercept, or the y-intercept. When Johnny first began his ride, exactly 0 seconds passed, and he was at the top of the hill.
Part C is asking you to find how long it will take to travel a third of the way down the hill. (I think the answer should be 5 seconds, but I'll leave it to you to figure out why.)
Answer:
The actual discount is a 68% discount.
Step-by-step explanation:
Remember that if something has a price P, and you have a discount of the X%, the new price will be:
P' = P - P*(X%/100%) = P*(1 - X%/100%)
Here we first have a 60% discount, then if the initial price is P, the new price is:
P' = P*(1 - 60%/100%) = P*(1 - 0.6)
Now we have an additional 20% discount (this applies to the new price)
then the final price is:
P'' = P'*(1 - 20%/100%) = P'*(1 - 0.2) = P*(1 - 0.6)*(1 - 0.2)
We want to rewrite this as something like:
P'' = P*(1 - k)
Let's do this:
P'' = P*(1 - 0.6)*(1 - 0.2) = P*(1 - 0.2 - 0.6 + 0.2*0.6)
= P*(1 - 0.8 + 0.12) = P*(1 - 0.68)
And this can be as:
P'' = P*(1 - 68%/100%)
Then the actual discount is a 68% discount.