Simplify the expression.(
+ 
)2
A. - 8 + 
+ 
+ 4
B. 23 + 4
C. 23
D. 8 + 4
Answer: B
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Provide an appropriate response.Two species of fish, A and B, are raised in one pond at a fish farm where they are fed two vitamin supplements. Each day they receive 100 grams of the first supplement and 200 grams of the second supplement. Each fish of species A requires 15 mg of the first supplement and 30 mg of the second supplement. Each fish of species B requires 20 mg of the first supplement and 40 mg of the second supplement. How many of each species of fish will the pond support so that all of the supplements are consumed each day? Use a graphing calculator to graph both of your equations at the same time. What do you notice about the graphs?
What will be an ideal response?
Write the system of inequalities that describes the possible solutions to the problem.A certain area of forest is populated by two species of animals, which scientists refer to as A and B for simplicity. The forest supplies two kinds of food, referred to as F1 and F2. For one year, an animal of species A requires 1.4 units of F1 and 1.2 units of F2. For one year an animal of species B requires 2.1 units of F1 and 1.8 units of F2. The forest can normally supply at most 913 units of F1 and 481 units of F2 per year. Let a represent the number of animals of species A and b represent the number of animals of species B.
A. 1.4a + 2.1 b ? 913 1.2 a + 1.8b ? 481 a ? 0, b ? 0 B. 1.4a + 2.1 b ? 913 1.2 a + 1.8b ? 481 a ? 0, b ? 0 C. 1.4a + 2.1 b ? 481 1.2 a + 1.8b ? 913 a ? 0, b ? 0 D. 1.4a + 1.2 b ? 913 2.1 a + 1.8b ? 481 a ? 0, b ? 0
Find the greatest common factor, GCF, of the expressions.10m3, 40m7, 100m4
A. 40m3 B. 400m4 C. 10m3 D. 10m4
Solve the problem.A television offer advertised a set of knives for $20 down and $8 a month for 12 months. What is the total cost of the knives?
A. $96 B. $126 C. $116 D. $106