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SOVA2 [1]
3 years ago
13

The number of hours it takes Jack to drive from Boston to Bangor is inversely proportional to his average driving speed. When he

drives at an average speed of 40 miles per hour, it takes him 6 hours for the trip. Write the equation that relates the number of hours, h, with the speed, s. How long would the trip take if his average speed was 50 miles per hour?
Mathematics
1 answer:
NeTakaya3 years ago
7 0

Answer:

The equation that relates the number of hours, h, with the speed, s, is: h = 240/s.

If he drives at 50 miles/h he'll make the trip in 4.8 h.

Step-by-step explanation:

The formula for the average speed is given by:

average speed = distance/time

Since Jack takes 6 h if he drives at 40 miles per hour, then the distance between Boston and Bangor must be:

distance = (average speed)*time

distance = 40*6 = 240 miles

The equation that relates the number of hours to the speed at which he makes the trip is:

h = 240/s

If he drives at a speed of 50 miles, he'll make the trip in:

h = 240/50 = 4.8 hours

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6cos(20πt-π)+6√3cos(20πt-π\2)
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Step-by-step explanation:

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What is the difference between a factor of a number and a multiple of a number? use the number 25 has an example
Ne4ueva [31]

Answer:

  • factor: a submultiple; an integer value that gives an integer quotient when the number is divided by it.
  • multiple: the product of the number and another integer

Step-by-step explanation:

<h3>Factors</h3>

A set of factors of a number (N) is a set of integers {f1, f2, f3, ...} whose product is the number:

  f1 × f2 × f3 × ... = N

Often the term "factors" is used to mean "prime factors," the set of prime numbers whose product is N.

When N = 25, the prime factors are {5, 5}. That is ...

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<h3>Divisors</h3>

A "divisor" of a number is a sub-multiple of N. That is, the quotient N/k is an integer for some divisor k of N. Usually, we're interested in integer divisors. All prime factors will be integer divisors of N. The term "factor" is often used when the term "divisor" is meant.

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<h3>Multiples</h3>

For an integer k, the value k×N is called a <em>multiple</em> of N, often, the <em>k-th multiple</em> of N.

Multiples of 25 include 25, 50, 75, 100, 125, and any other decimal number ending in 25, 50, 75, or 00.

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<em>Another example</em>

When N=30, the prime factors are {2, 3, 5}. The divisors are {1, 2, 3, 5, 6, 10, 15, 30}. (Note there are an even number of divisors.) Multiples of 30 include 30, 60, 90, 120, ....

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