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3 years ago

A cheetah ran 300 feet in 2.92 secods. What was the cheetahs average speed in miles per hou? Show your work.

1 answer:

6 0

Start by converting 300 feet to miles and 2.92 seconds to hours.

300 feet 1 mile
----------- x -------------- = ?
1 5280 feet

2.92 sec 1 hr
----------------- * ---------------- = ?
1 3600 sec

Reduce each of the above fractions. Then convert 300 feet
-------------- to the
2.92 sec

equivalent speed / rate in mph using the converstion factors you derived earlier.

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Dmitriy789 [7]

Answer:

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3 years ago

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Solve the system: 2/x - 3/y =-5; 4/x + 6\y =14

sertanlavr [38]

The solution is $x = 2 \text{ and } y = \frac{1}{2}$

Solution:

Let us assume,

$a = \frac{1}{x}\\\\b = \frac{1}{y}$

Given system of equations are:

$\frac{2}{x} - \frac{3}{y} = -5$

$\frac{4}{x} + \frac{6}{y} = 14$

Rewrite the equation using "a" and "b"

2a - 3b = -5 ------------ eqn 1

4a + 6b = 14 -------------- eqn 2

Let us solve eqn 1 and eqn 2

Multiply eqn 1 by 2

2(2a - 3b = -5)

4a - 6b = -10 ------------- eqn 3

Add eqn 2 and eqn 3

4a + 6b = 14

4a - 6b = -10

( - ) --------------------

8a = 4

$a = \frac{4}{8}\\\\a = \frac{1}{2}$

Substitute a = 1/2 in eqn 1

$2(\frac{1}{2}) -3b = -5\\\\1 - 3b = -5\\\\3b = 6\\\\b = 2$

Now let us go back to our assumed values

Substitute a = 1/2 in assumed values

$a = \frac{1}{x}\\\\\frac{1}{2} = \frac{1}{x}\\\\x = 2$

Substitute b = 2 in assumed value

$b = \frac{1}{y}\\\\2 = \frac{1}{y}\\\\y = \frac{1}{2}$

Thus the solution is $x = 2 \text{ and } y = \frac{1}{2}$

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2 years ago

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Answer:

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Step-by-step explanation:

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2 years ago

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photoshop1234 [79]

Answer:

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1 year ago