Answer:
1. 2(x+3.60) = 19.40
Divide both sides by 2:
x+3.60 = 9.70
Subtract 3.60 from both sides:
x = 6.10
Answer: 6.10
2. 45.93 + 112 + (−61.24)
45.93 + 112 = 157.93
157.93 - 61.24 = 96.69
Answer: 96.69
3. 20x + 2 > −98
Subtract 2 from both sides:
20x > −100
Divide both sides by 20:
x > −5
Answer: x > −5
4. 2/5 (4x - 8)
= 8x/5 - 16/5
Answer: 8x/5 - 16/5
5. On a school field trip, the number of students (y) is always proportional to the number of adults (x). In one group there are 96 students and 8 adults. What is the constant of proportionality between this relationship?
The constant of proportionality is the number that, when multiplied by the number of adults, gives the number of students. In this case, the constant of proportionality is 96/8 = 12.
Answer: 12