Answer: ![\$8.62/\text{Pound}](https://tex.z-dn.net/?f=%5C%248.62%2F%5Ctext%7BPound%7D)
Step-by-step explanation:
Given
There is
of ham available which costs
cost![=\$\ 19/kg](https://tex.z-dn.net/?f=%3D%5C%24%5C%2019%2Fkg)
i.e.
![1\ kg\ \text{costs}\ \$19](https://tex.z-dn.net/?f=1%5C%20kg%5C%20%5Ctext%7Bcosts%7D%5C%20%5C%2419)
and we know
![1\ kg=2.204\ \text{pound}](https://tex.z-dn.net/?f=1%5C%20kg%3D2.204%5C%20%5Ctext%7Bpound%7D)
So, ![2.204\ \text{Pound costs}\ \$19](https://tex.z-dn.net/?f=2.204%5C%20%5Ctext%7BPound%20costs%7D%5C%20%5C%2419)
thus ![1\ \text{Pound costs}\ \dfrac{19}{2.204}=\$8.62/\text{Pound}](https://tex.z-dn.net/?f=1%5C%20%5Ctext%7BPound%20costs%7D%5C%20%5Cdfrac%7B19%7D%7B2.204%7D%3D%5C%248.62%2F%5Ctext%7BPound%7D)
After clarification we see the respective diameters are
![A = 2.3 \times 10^{-a}](https://tex.z-dn.net/?f=A%20%3D%202.3%20%5Ctimes%2010%5E%7B-a%7D)
![B = 2.3 \times 10^{-b}](https://tex.z-dn.net/?f=B%20%3D%202.3%20%5Ctimes%2010%5E%7B-b%7D)
We're asked about the ratio
![A:B = 2.3 \times 10^{-a} : 2.3 \times 10^{-b} = 10^{-a} : 10^{-b} = 10^b : 10^a = 10^{b-a} : 1](https://tex.z-dn.net/?f=A%3AB%20%3D%20%202.3%20%5Ctimes%2010%5E%7B-a%7D%20%3A%20%202.3%20%5Ctimes%2010%5E%7B-b%7D%20%3D%2010%5E%7B-a%7D%20%3A%2010%5E%7B-b%7D%20%3D%2010%5Eb%20%3A%2010%5Ea%20%3D%2010%5E%7Bb-a%7D%20%3A%201)
Now we can go through the choices.
A. If a = 4 and b = 6, then cell a is 100 times greater than cell b.
![A:B=10^{6-4}:1 = 100:1](https://tex.z-dn.net/?f=%20A%3AB%3D10%5E%7B6-4%7D%3A1%20%3D%20100%3A1)
It would be more proper to say the diameter of cell A is 100 times the diameter of cell B, but yes, this is TRUE.
B. If a = 4 and b = 6, then cell b is 100 times greater than cell a.
FALSE. 10 to the minus 4 is 100 times bigger than 10 to the minus 6, so a is bigger.
C. If a = 4 and b = 6, then cell a is 2 times greater than cell b.
FALSE. We already calculated its 100 times bigger.
D. If a = 4 and b = 6, then cell b is 2 times greater than cell a.
FALSE.
Answer:
n-1
Step-by-step explanation:
Consecutive means that they have a difference of one, so the expression will be n-1.
Step-by-step explanation:
We must ask a question that your answer corresponds to each of the topics in the statement, therefore we will review each one:
5. Distances members of the track team jogged last week
How far did you run last week?
6. Numbers of letters in name of street you live on
How many letters are there in the name of your street?
7. Cost of a restaurant dinner
How much did you pay for dinner?
8. Numbers of cars of different colors in a parking lot
What color is your car?
Essentially, 50% of $10.56 is $5.28.
This means that all we have to do is add $10.56 to $5.28, making <u>$15.84</u>
Side note: Another way that you can do this is by simply doing 1.5(10.56).