<u>Answer:
</u>
If a rug was 5 times as long as this record sheet. The length of this record sheet in centimeters is 100x centimeter
<u>Solution:
</u>
Given that a rug was 5 times than the record sheet.
Let assume the length of the record sheet = x units
Then from given information,
Length of the rug = 5x units
Conversion of measure of record sheet in centimeter completely depends upon in which unit the length is given.
Suppose the given length is in meters, than need to multiply the given length by 100 to get the length in centimeter that is
x meter =
= 100x cm
Conversion factor will change accordingly to the unit of given length which needs to be convert into centimeter.
Answer:

Grant will make $60 from selling 12 magazines.
Step-by-step explanation:
Let m represent number of magazine sold and A represent amount of money earned.
We have been given that Grant earns $5 for each magazine he sells. So amount earned from m magazines would be 5 times m that is
dollars.
Now, we will equate total amount earned by Grant with A as:

Therefore, our required equation would be
.
To find the amount earned by Grant by selling 12 magazines, we will substitute
in our equation as:


Therefore, Grant will make $60 from selling 12 magazines.
Answer:
an = 63(-1/3)^(n-1)
Step-by-step explanation:
This is a geometric sequence with first term 63 and common ratio -1/3.
The equation for the nth term is
an = 63(-1/3)^(n-1).
Answer: 43
Step-by-step explanation: