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:
solution,
x+41+59=180⁰ ( the sum of total angle of triangle is 180⁰)
or, x+ 100=180
or, X=180-100
so , X=80
Step-by-step explanation:
let us check
59+41+80=180
Answer:
<h2><u><em>
46 cm²</em></u></h2>
Step-by-step explanation
the figure is composed of a square with an isosceles right triangle inside, we find the area of the square and we take away the area of the triangle.
Triangle area = lxl, right-angled triangle area side by side divided by two.
8 * 8 = 64cm²
6 * 6 : 2 = 18 cm²
Area of the shaded region
64 - 18 = 46 cm²
Number 2 is x> -2 hope this helps a little
Answer:
317,988,000
Step-by-step explanation:
We have been given that according to the United States Census Bureau, on September 11, 2014, the population of the United States was increasing by 11 people every 12 seconds.
Let us find number of people increased in 1 minute as:
Now, we will convert 11 years into minutes and multiply by 55 to find increase in population in 11 years.
Upon multiplying 5,781,600 by 55, we will get:
Therefore, the population of United States would increase 317,988,000 in 11 years.
