Answer:
Step-by-step explanation:
A. The first inequality is graphed as a shaded area below the solid line with x-and y-intercepts of 7.5 and 5, respectively. The second inequality is graphed as a shaded area above the solid line with x- and y-intercepts of 3.
The solution set is the set of integer-valued grid points one or between the lines.
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B. The point (5, 1) is included in the solution area. Mathematically, it can be shown to satisfy the two inequalities:
2(5) +3(1) ≤ 15 ⇒ 13 ≤ 15 True
(5) +(1) ≥ 3 ⇒ 6 ≥ 3 True
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C. The point (5, 1) is in the solution set. It means Michael can purchase 5 sandwiches and 1 hot lunch within his budget constraints. That will provide 6 meals, which is more than the minimum of 3 that he wants to provide.
Answer:
The equation representing how old Monique son is 
Step-by-step explanation:
From the given information:
A linear function can be used to represent the constant growth rate of Monique Son.
i.e.
where;
= initial height of Monique's son
= growth rate (in)
t = time
So, the average boy grows approximately 2 5/8 inches in a year.
i.e.
Then; from the equation
The height of the son as a function of the age can now be expressed as:
Then:
Making t the subject;
and the age of the son i.e. ( a (in years)) is:
a = 2 + t
So;
SO;
if q (growth rate) = 50 inches tall
Then;
a = 2 + 6.095
a = 8.095 years
a ≅ 8 years
i.e.
Monique son will be 8 years at the time Monique is 50 inches tall.
Answer:
9 packages of chocolate bars
Step-by-step explanation:
Let he bought c packages of chocolate bars and t packages of toffee bars,
Since, he bought 1 fewer package of chocolate bars than toffee bars.
⇒ c = t - 1 -----(1)
Also, he handed out out 
of the chocolate bars and 
of the toffee bars,
If he handed out the same number of each kind of candy bar.
( By cross multiplication )
( Division property of equality )
From equation (1),
Hence, he bought 9 packages of chocolate bars.
Answer:
True
Step-by-step explanation:
So the radius would be 5 (as you times it by 2 to get 10)
Therefore
2a=10 is the same as what the circle with diameter d=2r=10
