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Sergeu [11.5K]
3 years ago
9

Paul rides his bike for 2 hours at a constant rate of 20 mph. He then bikes for 3 hours at a constant rate of 25 mph. How far di

d Paul travel in the 5 hours?
A. 15 mi.
B. 52 mi.
C. 115 mi.
D. 165 mi.
Mathematics
1 answer:
Schach [20]3 years ago
4 0
In 5 hours Paul travelled 115 miles
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I'm not sure where to begin, can someone help me begin?
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First, convert the mixed number into an improper fraction.
To convert a mixed number into an improper fraction, find the product of the whole number and the denominator and then add the numerator.
Then the denominator will be the original denominator from the mixed number.

1 \frac{1}{3} = \frac{4}{3}

Now the fraction \frac{4}{3} is being raised to the third power negative.
When an exponent is negative, it means to take the reciprocal of the number then raise it to the power of the absolute value of the exponent.

In a mathematical expression: x^{-n} = \frac{1}{x^n}

So, first take the reciprocal of \frac{1}{3} which is 3.

Then raise 3 to the absolute value of the exponent. The exponent is -3.
The absolute value of -3 is 3.

3^3 = 3 * 3 * 3 = 27

So, the answer is 27.
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1 x 10^-3 millimeters
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Find the product.<br><br> 1.68×2.5 =?
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Answer:

Step-by-step explanation:

In a parallelogram, the opposite sides are parallel and also equal. The opposite angles are also equal.

In parallelogram ABCD, side AD is parallel to side BC. Also, side AB is opposite and parallel to side CD. This means that AB = CD

Sides CD and AB have lengths of y + 18 and 4y, respectively. Therefore,

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Subtracting y from the left hand side and the right hand side of the equation, it becomes

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y = 18/3 = 6

Therefore, the length of AB is

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