Answer:
15 two-point questions and 5 four-point questions.
Step-by-step explanation:
Let x represent number of two-points questions and y represent number of four-points questions.
We have been given that Janice wants to create a test containing 20 questions. We can represent this information in an equation as:
Since all questions are worth 50 points. We can represent this information in an equation as:
From equation (1), we will get:
Upon substituting this value in equation (2), we will get:
Therefore, there are 5 questions that are worth 4 points each.
Now, we will substitute in equation (1) to solve for x.
Therefore, there are 15 questions that are worth 2 points each.
Let the lenght perpendicular to street = x
Means lenght two sides will be x and x
Another side of retangle will be = 256 - 2x
Area of rectangle will be= A = x * (256-2x) = 256 x - 2 x^2
For maximum area, dA/dx = 0
d/dx (256 x - 2 x^2) = 0
256 - 4 x = 0
4 x = 256
x = 64 feet
Means one side is 64 feet
Another side will be = 256 - 2 * 64 = 128
Now we have two sides of rectangle 64 and 128
Area = 128 * 64 = 8192 square feet : Answer
Hope it will help :)
Solutions
Associative Property is a rule that refers to grouping. The rule is "<span>a + (b + c) = (a + b) + c</span><span>".
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The correct answers are (A) and (D)
(A) = <span> (11 + 2.2) + (–5) = 11 + [2.2 + (–5)]
(D) = </span><span>–7 + [4 + (–2.1 • 6)] = (–7 + 4) + (–2.1 • 6)</span>
The year he died was the year 1846
