Answer:

Step-by-step explanation:
Whenever we are doing unit conversions, we have to remember to make the first ratio and then each successive ratio should be put <em>in such a way</em> that the top and bottom cancels out with each unit and whatever we want, remains.
A simple example would be if we were to just convert from cm to mm. Suppose we want to convert 5 centimeters to millimeters. We can write the ratios is 2 ways:
First:

Second:

The first one is correct since we want mm, mm should be on top and cm should be on bottom form cm and cm to get canceled.
Now, for our problem, we want mm on top and day on bottom. So, cm and year should cancel. Looking at the first choice, the conversion factors are correct & skimming through, we see that
cm and cm cancels (top and bottom), also year and year cancels (top and bottom), it will leave us with mm on top and days on bottom, <em>which is what we want</em>.
First answer choice is right.
Her postcard is 5/8 inches over the height limit
Answer:
6
Step-by-step explanation:
Number of water bottles bought by Sylvia = 24
Number of water bottles sold by Sylvia = 
Number of water bottles left with Sylvia = 
Number of water bottles bought by Sam = 36
Number of water bottles sold by Sam = Three times as many as bottles as Sylvia sold = 
Number of water bottles left with Sam = 
It is given that the number of water bottles left with Sylvia and Sam are equal.
i.e.

So, number of water bottles sold by Sylvia = <em>6</em>
Answer:
Step-by-step explanation:
To solve this, we would use the formula for calculating simple interest which is:
Interest = PRT
Then, we will slot in the values given which will be:
84 = P × 3% × 7
84 = P × 0.03 × 7
84 = 0.21P
P = 84/0.21
P = $400
The Principal is $400
Answer:
2√15
Step-by-step explanation:
Use the Pythagorean theorem.
2² + x² = 8²
x² + 4 = 64
x² = 60
x² = 4 * 15
x = 2√15