QUESTION A
The given multiplication problem is
Factor each term to obtain;
Cancel out the common factors to obtain;
Simplify to get;
QUESTION B
The given multiplication problem is
This the same as
This simplifies to;
QUESTION C
The given problem is
This is the same as
This simplifies to
QUESTION D.
The given expression is
Factor the 54 to obtain;
Cancel the common factors to get;
This simplifies to;
QUESTION E
The given problem is
Convert the mixed numbers to improper fraction to obtain;
Cancel the common factors to get;
QUESTION F
The multiplication problem is
Convert the mixed numbers to improper fractions to obtain;
Cancel out the common factors to get;
Simplify;
QUESTION G
The given problem is
Convert to improper fractions;
Cancel out the common factors to get;
Convert back to mixed numbers
QUESTION H
The given expression is
Convert to improper fraction to get;
Cancel common factors to get;
Simplify
Convert back to mixed numbers;
Answer:
165 inches
Step-by-step explanation:
The scale is 1 to 60, so real measurements are 60 times bigger than drawing measurements.
2.75 inches * 60 = 165 inches
Answer:
2pie R so it would be 15.7
Answer: 81 units²
Step-by-step explanation: To solve this problem, remember that the formula for the area of a square is 4s.
Therefore, since the perimeter of the given square is 36, we have 36 = 4s and dividing both sides by 4, 9 = s.
Now, remember that the formula for the area of a square is s² and since the length of a side of the given square is 9, we have (9)² or 81.
So the area of a square that has a perimeter of 36 is 81 units².
Since, population of species A is represented by :
Let us find the population of species A, at the end of week 1:
i.e., x = 1
i.e.,
i.e.,
i.e.,
Also, since population of species B is represented by :
Let us find the population of species B, at the end of week 1:
i.e., x = 1
i.e.,
i.e.,
i.e.,
Thus, at the end of 1 week, species A and species B will have the same population.
Hence, option D is correct.