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3 years ago

a jet travels 520 miles in 5 hours at this rate how far could the jet fly in 11 hours what is the rate of speed of the jet

Mathematics

1 answer:

photoshop1234 [79]3 years ago

5 0

The rate of speed of jet is 104 miles per hour

The jet could cover 1144 miles in 11 hours

<h3><u>Solution:</u></h3>

Given that,

A jet travels 520 miles in 5 hours

<h3><u>Find the miles traveled in 1 hour ( speed in miles per hour)</u></h3>

$speed = \frac{distance}{time}$

$Speed = \frac{520}{5}\\\\Speed = 104\ miles\ per\ hour$

<h3><u>How far could the jet fly in 11 hours</u></h3>

Time = 11 hours

Speed = 104 miles per hour

$Distance = speed \times time\\\\Distance = 104 \times 11\\\\Distance = 1144$

Thus the jet could cover 1144 miles in 11 hours

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11) The sum of four consecutive integers is 290.

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Step-by-step explanation:

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3 years ago

Read 2 more answers

A population of mice is increasing exponentially. On Monday there were 120 most. One month later there were 132 most. Ready func

djyliett [7]

Answer:

$y=120 * 1.1^x$ --- function

The monthly rate is 10%

Step-by-step explanation:

Given

Let

$x \to months$

$y \to mice$

So, we have:

$(x_1,y_1) = (0,120)$ --- Monday

$(x_2,y_2) = (1,132)$ --- One month later

Required

The function

The function is represented as:

$y=ab^x$

In $(x_1,y_1) = (0,120)$ , we have:

$120 = a * b^0$

$120 = a * 1$

$120 = a$

$a=120$

In $(x_2,y_2) = (1,132)$ , we have:

$132 = a * b^1$

$132 = a * b$

Substitute: $a=120$

$132 = 120 * b$

Solve for b

$b = \frac{132}{120}$

$b = 1.1$

So, the function is:

$y=ab^x$

$y=120 * 1.1^x$

To calculate the monthly rate (r), we have:

$y =a(1 + r)^x$

Compare to: $y =ab^x$

$1 + r = b$

Make r the subject

$r = b-1$

Substitute $b = 1.1$

$r = 1.1-1$

$r = 0.1$

Express as percentage

$r = 0.1*100\%$

$r = 10\%$

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