Answer:100
Step-by-step explanation:
Expand
x = 150 - 0.5x
Add 0.5x to both sides
x + 0.5x = 150
Simplify x + 0.5x to 1.5x
1.5x = 150
Divide both sides by 1.5
x = 150/1.5
Simplify 150/1.5 to 100
x = 100
1. Adding all the responses together, we get the total number of responses is 24. The number of people who chose a genre that wasn't mystery was 7 for science fiction, 6 for history, and 3 for biographies. This means we will have 3 fractions before reducing. 7/24, 6/24, and 3/24. 7/24 is in simplest form, but 6/24 and 3/24 can be reduced. 6/24 can be 3/12 and 1/4. 3/24 can be 1/8. The answer will be to circle 7/24, 6/24, 3/12, 1/4, 3/24, or 1/8.
2. Plot the points given, and mirror them for point B and C to form the figure. When connecting them, the resulting figure should look extremely similar to the picture given.
Answer:
B
Step-by-step explanation:
3 -4 | 2
0 -1 | 7
3/2 -2 | 1
R1/3 ----> R1 (divide Row 1 by 3)
1 -4/3 | 2/3
0 -1 | 7
3/2 -2 | 1
R3 - 3/2 R1 -------> R3 (multiply Row 1 by 3/2 and subtract it from Row 3)
1 -4/3 | 2/3
0 -1 | 7
0 0 | 0
R2 / -1 -------> R2 (Divide Row 2 by -1)
1 -4/3 | 2/3
0 1 | -7
0 0 | 0
R1 + 4/3 R2 --------> R1 (Multiply Row 2 by 4/3 and add it to Row 1)
1 0 | -26/3
0 1 | -7
0 0 | 0
Answer: 615.4
Step-by-step explanation:

if the radius is 14
