A <em>scale factor </em>essentially takes all of the lengths on an object and multiplies them by itself.
For instance, a square with side lengths of 4 scaled by a factor of 2 would have scaled side lengths of 4 x 2 = 8, and that same square scaled by a factor of 1/2 would have side lengths 4 x 1/2 = 2. Scaling something by a factor of 1 keeps it exactly the same, since any number multiplied by 1 is unchanged - this means that 1 is basically the "pivot number" for scaling.
Any scale factor <em>greater </em>than one will scale an object <em>up </em>to larger dimensions, while any scale factor <em>less </em>than one will scale an object <em>down </em>to smaller dimensions.
Answer:
$6.50/per pair of socks
Step-by-step explanation:
12*5=60
125-60=65
65/10=6.50
4(1 + 5n) = -6n - 14 + 8
4(1 + 5n) = -6n -6
4 + 20n = -6n - 6
10 + 26n = 0
26n = -10
n = -10/26 = -5/13.
I believe this would be the solution to the question.
Point A would be zero; Point B, the end of the 1/2-hour time interval, would be 1/2 (representing 1/2 hour). Then Amy needs to subdivide the interval A to B into three equal time intervals and to determine the length of each of these subintervals.
I would begin with 1/2 and divide that by 3:
1
--
2
====
3
--
1
Inverting the fraction in the denom. and multiplying, we get
1 1 1
-- * ---- = -----
2 3 6
So Amy will spend 1/6 th of an hour, or 10 minutes, on each chore.
Note that 3 times 1/6 comes out to 1/2 (hour), which is were we started.
