Answer:
The actual stage is 42 feet long
Step-by-step explanation:
Step 1
Determine the conversion factor as shown;
1 inch in the drawing represents 3 feet in the actual drawing
To convert a measurement in inches in the drawing to an actual measurement, we use a conversion factor of 3. In the same way, to convert a measurement in feet in the actual stage to the drawing measurement in inches, we use a conversion factor of (1/3).
Step 2
Convert 14 inches in the drawing to the actual measurement of the stage as follows;
Actual stage length=drawing length×conversion factor
where;
drawing length=14 inches
conversion factor=3
replacing;
Actual stage length=(14×3)=42 feet
The actual stage is 42 feet long
Answer: If the number of bills counted is odd, the ones digit is 5; if the number of bills is even, the ones digit is 0.
Explanation
1) Simulate the counting of the bills:
number of bills counted value ones digit
1 5 5
2 5 + 5 = 10 0
3 10 + 5 = 15 5
4 15 + 5 = 20 0
5 20 + 5 = 25 5
6 25 + 5 = 30 0
2) Pattern: you can see that the ones digit alreternate: 5, 0, 5, 0, 5, 0, ...
If the number of bills counted is odd the ones digit is 5, if the number of bills is even the ones digit is 0.
The square's diagonal is the triangle's hypotenuse.
The Pythagorean theorem is = 
Here, 'c' is the hypotenuse and 'a' and 'b' are the two sides of the triangle.
As the side is given 12 inches, so this becomes
inches
$60 -$45= $15
$15/ $60* 100%= 25%
The percent discount is 25%~
Answer:
GCF(greatest common factor) of 5 is 5.
