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ICE Princess25 [194]
2 years ago
13

A cycle race in France is 2214.5 miles in length. Miguel knows his average speed from previous races is 21.14 miles per hour. Fo

r this next race in France he is planning on cycling 9 hours per day. Estimate how many days Miguel will take to complete the race
Mathematics
1 answer:
tangare [24]2 years ago
8 0

Answer: 12 days

Step-by-step explanation:

Distance = speed / time

2214.50 = 21.14 / t

t = 2214.50 / 21.14 = 104.75 hours

At 9 hours per day, it will take

104.754/9 = 11.64 = 12 days

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The mathematical expression does not seem clear but I have made an attempt to make sense of what is implied.

Answer:

<em>a</em> = 4, <em>b</em> = 2, <em>c</em> = 16, <em>d</em> = 9

Step-by-step explanation:

\dfrac{(-3)^3(2^6)}{(-3)^5(2^2)} = \dfrac{(2)^a}{(-3)^b} = \dfrac{c}{d}

Solving the first part of the question by indices,

\dfrac{(-3)^3(2^6)}{(-3)^5(2^2)} = (-3)^{3-5}(2)^{6-2} = (-3)^{-2}(2)^{4} = \dfrac{(2)^4}{(-3)^2}

Comparing the rightmost term with the second term in the question,

<em>a</em> = 4, <em>b</em> = 2

Solving on,

\dfrac{(2)^4}{(-3)^2} = \dfrac{(2)\times(2)\times(2)\times(2)}{(-3)\times(-3)} = \dfrac{16}{9}

Comparing with the final term in the question,

<em>c</em> = 16 and <em>d</em> = 9

Therefore,

<em>a</em> = 4, <em>b</em> = 2, <em>c</em> = 16, <em>d</em> = 9

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2 years ago
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The ratio of length to width in a rectangle is 3 to 1. If the perimeter of the rectangle is 128 feet, what is the length of the
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Answer: B

Step-by-step explanation:

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A man bought a mobile phone for $800 and sold it for $1000. What was his profit as a percentage of the cost price ​
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Answer:

1000/800 = 125% profit

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How to estimate the quotient of 57.8÷81
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Round 57.8 to 60 and round 81 to 80.

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And it is common knowledge that 3/4 = .75

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2 years ago
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you roll a number cube twice. find p(even, then not 2). Write the probability as a fraction in simplest form.
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For the first roll, you expect that you would get an even number. Since there are six sides of a die, then there are 3 ways to get an even number which are numbers 2, 4 and 6. So the probability of an even number is 3/6 or 1/2.
Next for the second roll, you expect that you should not get a number 2. There are 5 ways occurring which are 1, 3, 4, 5, 6. So the probability for this is 5/6.
Multiply the two probabilities because both probabilities will occur for this event.
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