The compound inequality that represents the two following scenarios are:
- 65 < f ≤ 4
- 8 ≤ f ≤ 12
A compound inequality usually puts together two or more simple inequalities statements together.
Following the assumption from the given information that;
- a free single scoop cone = f
<h3>1.</h3>
The age group of individuals designated to receive the free single scoop cones is:
- people who are older than 65 i.e. > 65
- children that are 4 or under 4 i.e. ≤ 4
Thus, the compound inequality that is appropriate to express both conditions is:
<h3>
2.</h3>
- On Tuesdays, the least amount of flavors = 8
- The addition amount of extra flavors they can add = 4
Now, we can infer that the total amount of flavors = 8 + 4 = 12
Thus, the compound inequality that is appropriate to express both conditions is:
- Least amount of flavors ≤ f ≤ total amount of flavors
- 8 ≤ f ≤ 12
Therefore, we can conclude that the compound inequality that represents the two following scenarios are:
- 65 < f ≤ 4
- 8 ≤ f ≤ 12
Learn more about compound inequality here:
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Answer:
Missing co-ordinate for the ordered pair is 
Y-intercept is 
X-intercept is 
Step-by-step explanation:
The number of a certain company's video stores can be approximated by the linear equation
where 
is the number of stores and 
represents the number of years after 1990.
To find the missing co-ordinate for the ordered pair solution 
For the ordered pair, we are given the value which is =7 i.e 7 years after 1990. Thus we will plugin 
in the linear equation to get the value which is number of stores after 7 years from 1990.
Thus the ordered pair is
To find y-intercept which is the point where the line touches the y-axis, we would plugin 
in the equation as the x-coordinate is 0 at y-axis.
Thus y-intercept is at point
To find x-intercept which is the point where the line touches the x-axis, we would plugin 
in the equation as the y-coordinate is 0 at x-axis and thus for
Subtracting both sides by 4682.
Dividing both sides by -264
∴ 
Thus x-intercept is at point
1) a. x = number of cars
b. x - 12
2) a. x = number of packages
b. 16 + 1/2x
3) a. x = number of coins
b. 1/2x - 6
4) 17 + x = 78
Subtract 17 from each side.
x = 61
5) x - 33 = 78
Add 33 to each side.
x = 111
6) x * 84 = 327.6
Divide each side by 84
x = 3.9
7) 1333/8.6 = 155
The speed was 155mph.
8) 2475/110 = 22.5
The trip took 22 and a half hours. (Or "The trip took 22.5 hours."
