Answer:
Problem 1. Answer: D
Problem 2. Answer: A
Problem 3. Answer: C
Problem 4. Answer: D
Step-by-step explanation:
Problem 1:
A pack is targeted to weigh 9.25 oz.
A pack can be up to 0.23 oz off, either over or under weight.
The pack cannot weigh less than 9.25 oz - 0.23 oz or more than 9.25 oz + 0.23 oz.
The following compound inequality represents the rejected weights.
x < 9.25 - 0.23 or x > 9.25 + 0.23
Subtract 9.25 from both sides of both inequalities.
x - 9.25 < -0.23 or x - 9.25 > 0.23
Change to an absolute value inequality.
|x - 9.25| > 0.23
x - 9.25 < -0.23 or x - 9.25 > 0.23
x < 9.02 or x > 9.48
Problem 2:
Almond trees produce 12a
Macadamia nut trees produce 8m
Yield is 250
12a + 8m = 250
Problem 3:
8.8 m/s converted into km/h
1000 m = 1 km
60 sec = 1 min
60 min = 1 hr
8.8 m/s * (1 km)/(1000 m) * (60 s)/(1 min) * (60 min)/(1 hr) =
= 31.68 km/h
Problem 4.
Let number of alternative schools be a.
Let number of charter schools be c.
"the number of charter schools is 4 less than twice the number of alternative schools"
c = 2a - 4
There are 48 charter schools, so c = 48. Now we solve for a.
48 = 2a - 4
52 = 2a
a = 26
