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:
48
Step-by-step explanation:
3.2 - 3 = .2
3(.2) = .6
9 + .6 = 9.6
5 * 9.6 = 48
Answer:
A)10.25 cm ; B)5 square cm
Step-by-step explanation:
A)
Formula:
p=(a+b+c) [p= perimeter ; a,b , and c are the side lengths.]
∴The perimeter of the triangle =(4+2.75+3.5) cm
=10.25 cm
B)
Formula:
A = 1/2 . b .h [A=area ; b= base ; h= height]
∴The area of the triangle = (1/2 . 4 . 2.5) square cm [b=4 ; h=2.5]
=5 square cm
we know that
The area of the hexagon is equal to the sum of the areas of the six equilateral triangles
Let
x-------> area of one equilateral triangle
so

Divide by
both sides
-------> area of one equilateral triangle
To find an equivalent expression for the area of the hexagon based on the area of a triangle, multiply the area of one equilateral triangle by 
therefore
the answer is
The equivalent expression is equal to
Answer:
-8k - 15
Step-by-step explanation:
5(-2k-3)+2k
At first, we will break the parenthesis. To break that, we will multiply the value inside the parenthesis by the adjacent number, that is 5. Again, we have to consider the Algebraic operation (Golden rule) -
[(-) x (-) = (+); (+) x (-) = (-)]
Therefore, since there is a minus sign in each of the value inside the parenthesis, the result will be minus as 5 is a positive integer.
or, -5*(2k) - (5*3) + 2k
or, -10k - 15 + 2k
or, -8k - 15 (after the deduction)
The answer is = -8k - 15