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Ilia_Sergeevich [38]
3 years ago
14

Ashley wants to arrive at the airport at 3:30pm it takes her 1 hour and 40 minutes to get there.What time should Amanda leave he

r house
Mathematics
1 answer:
Rudiy273 years ago
8 0
She should leave her house at 1:50 pm. That way, if it takes 1 hour and 40 minutes, she'll arrive at 3:30 pm. 
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Exercise 2.4.2: Proving statements about rational numbers with direct proofs. About Prove each of the following statements using
IgorLugansk [536]

Answer:

See Explanation

Step-by-step explanation:

(a) Proof: Product of two rational numbers

Using direct proofs.

Let the two rational numbers be A and B.

Such that:

A = \frac{1}{2}

B = \frac{2}{3}

The product:

A * B = \frac{1}{2} * \frac{2}{3}

A * B = \frac{1}{1} * \frac{1}{3}

A * B = 1 * \frac{1}{3}

A * B = \frac{1}{3}

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(b) Proof: Quotient of a rational number and a non-zero rational number

Using direct proofs.

Let the two rational numbers be A and B.

Such that:

A = \frac{1}{2}

B = \frac{2}{3}

The quotient:

A / B = \frac{1}{2} / \frac{2}{3}

Express as product

A / B = \frac{1}{2} / \frac{3}{2}

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(c) x + y is rational (missing from the question)

Using direct proofs.

Let x and y be

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x = \frac{1}{2}

y = \frac{2}{3}

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Take LCM

x + y = \frac{3+4}{6}

x + y = \frac{7}{6}

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<em>The above proof works for all values of A, B, x and y; as long as they are rational values</em>

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3 years ago
A square parking lot has an area of 12,996 square yards. a. What is the length of one side of the parking lot? b. How many yards
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Answer:

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Step-by-step explanation:

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Area of square parking lot = 12,996 square yards

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12996 = a²

√12996 = a

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Yards of fence needed to enclose parking lot :

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