Answer:
Option c.
Step-by-step explanation:
It is given that the piecewise function represents the Social Security taxes for 2009.

We need to find Rachel's security tax if she earned $102,000 in 2009.
Since 102,000 lies in
, therefore

Put x=102000.


So, the Social Security tax is $6324.
Therefore, the correct option is c.
Answer:
(-2, 6.5)
Step-by-step explanation:
Wayne can follow the line from (-2, 0) up to where it crosses the graphed line. The crossing point is approximately halfway between 6 and 7 on the graph, so can be considered to be 6.5.
If we put x=-2 into the equation and evaluate, we get ...
... y = (-3/4)(-2) +5 = 6/4 +5 = (1 1/2) +5 = 6 1/2
Thus the solution is (-2, 6 1/2).
Answer:
Square length of 5cm
Step-by-step explanation:
Given


Required
Determine the possible measure of square from the rectangular sheet
To do this, we simply calculate the greatest common factor (GCF) of the dimension of the rectangle.


The common factor is: 5
<em>Hence, the side length of the square is 5cm</em>
Answer:
The answer to your question is
Part A. Archimedes grades 6 1/4 tests per day
Part B. 8 19/32 days
Part C. 6 26/29 days
Step-by-step explanation:
Part A
Total time = 6 2/5 days
Number of tests = 40 tests
Process
1.- Convert the mixed fraction to improper fraction
6 2/5 = (30 + 2) / 5 = 32/5
2.- Divide 40 by 32/5
40/1 / 32/5 = (40 x 5) / (32 x 1)
= 200 / 32
Simplify
100 / 16 = 50/8 = 25/4
3.- Convert 25/4 to mixed fractions
6
4 25
1
25/4 = 6 1/4
Archimedes grade 6 1/4 tests per day
Part B
15 more tests
Total time = 32/5
Total tests = 40 + 15 = 55
Process
1.- Divide 55 by 32/5
55 / 1 / 32 /5 = (55 x 5) / (32 x 1)
= 275 / 32
2.- Convert 275/32 to a mixed fraction
8
32 275
256
19
Result 8 19/32 days
Part C
1.- Divide 55 by 7.25
50 / 7.25 = 5000 / 725
6
725 5000
- 4350
650
Result 6 650/750 = 6 26/29
You have -4,-3,-2, that is a 3 out of a total of 21 points or numbers on the number line. 3/21 is reduces to 1/7.
3 goes into 21 , 7 times. That is why it reduces to 1/7.