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andreev551 [17]
3 years ago
6

The elevation of city A is 72 feet above sea level; the elevation of city C is 24 feet above sea level. The elevation of city D

is 1 over 4 of the elevation of city C.
Part A: Write an expression to represent the elevation, in feet, of city D. (5 points)

Part B: Simplify the expression and explain why the answer is negative or positive. (5 points)
Mathematics
1 answer:
Elena-2011 [213]3 years ago
4 0

Step-by-step explanation:

Part A:

In math, the word "of" means "multiplied by".

So if the elevation of city D is 1/4 of the elevation of city C, then our equation is 1/4*C, or C/4

Part B:

But we already know that C = 24, so we can just plug in 24 for C in our equation:

24/4 = 6 feet

Explanation: The answer is positive because when you're dividing two positive integers, there's no possible way to get a negative number.

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Step-by-step explanation:

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3 years ago
The area of a rectangular wall of a barn is 64 square feet. It’s length is 12 feet longer than the width. Find the length and wi
Svetach [21]

Length of wall is 16 feet and breadth is 4 feet.

Step-by-step explanation:

  • Step 1: Given area = 64 sq. ft, length is breadth + 12 ft. Let breadth be b.

So length, l = b + 12

  • Step 2: Substitute in area for rectangle = length * breadth

⇒ (b + 12) * b = 64

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⇒ b² + 12b - 64 = 0

  • Step 3: Solve for b using equation for finding roots of quadratic equation

Roots = (- b ±√b² - 4ac)/2a

⇒ b = (- 12 ±√144 - 4 * 1 * - 64)/2

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nignag [31]

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