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:
y = -3x - 4
Step-by-step explanation:
x - y - 2 = 4x + 2
x - y - 2 + y = 4x + 2 + y
x - 2 = 4x + 2 + y
x - 2 - 4x - 2 = 4x + 2 + y - 4x - 2
-3x - 4 = y
so y = -3x - 4
Answer:
C. 120
Step-by-step explanation:
Hope it helps!
Answer:
Measure of exterior angle ABD = 136°
Step-by-step explanation:
Given:
measure of ∠A = (2x + 2)°
measure of ∠C = (x + 4)°
measure of ∠B = x°
Find:
Measure of exterior angle ABD
Computation:
Using angles sum property
∠A + ∠B + ∠C = 180°
So,
(2x + 2) + (x + 4) + x = 180
4x + 6 = 180
4x = 176
x = 44
So,
measure of ∠B = x°
measure of ∠B = 44°
Measure of exterior angle ABD = 180 - measure of ∠B
Measure of exterior angle ABD = 180 - 44
Measure of exterior angle ABD = 136°