Find the dimension of a rectangle whose with is 6 miles less than its length and whose area is 72 square tiles

Answers

Answer 1

Answer:

Length = 12

Width = 6

Step-by-step explanation:

Width = 6 miles less than length;

L = L

W = L - 6

Area = 72 ft²

Area = Length * width

Area = (L * L-6)

Area = L² - 6L

-

L² - 6L = 72

L² - 6L - 72 = 0

L² - 12L + 6L - 72 = 0

L(L - 12) +6(L - 12) = 0

L = 12 or L = - 6

L cannot be negative

Width = L - 6

Width = 12 - 6 = 6

Hence,

Dimension of rectangle :

Length = 12

Width = 6


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HIGHER ORDER THINKING A cell phone plan is shown on the right. The rates, which include an unlimited data plan, are the same each month for 7 months. The total cost for all 7 months is $180.39. Let m represent the average number of minutes that exceeds 700 minutes each month. A. Write an equation to represent the given situation. B. Solve the equation to determine how many additional minutes, on average, you use each month.

Answers

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Step-by-step explanation:

Equation to represent the given situation is 7(19.70 + 1.97 + m X 0.05) = 180.39; additional minutes, on average, you use each month is 82

What is Linear Equation?

A linear equation is an algebraic equation of the form y=mx+b. involving only a constant and a first-order (linear) term, where m is the slope and b is the y-intercept.

Given that;

Total cost for 7 month =$180.39

Let m be the average number of minutes  that exceeds 700 minutes every month

Equation formed;

7(19.70 + 1.97 + m X 0.05) = 180.39,

or,  7(19.70 + 1.97 + m X 0.05) = 180.39,

or, 21.67 + 0.05m = 180.39/ 7,

or, 0.05m = 25.77 – 21.67,

0.05m = 4.1

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Therefore,  equation for (a) : 7(19.70 + 1.97 + m X 0.05) = 180.39 and 82 will be the answer of (b)

Learn more about linear equations here;

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=========================================================

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----------------

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