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Lunna [17]
2 years ago
5

A collection of five coins has a value of $1 and consists of dimes and

Mathematics
1 answer:
DENIUS [597]2 years ago
4 0

For this case we propose a system of equations. We have to:

x: Let the variable that represents the number of dimes

y: Let the variable that represents the number of quaters

We know that:

One dime equals 10 cents, $0.10

A quater equals 0.25 cents, $0.25

According to the statement we have:

x + y = 5\\0.10x + 0.25y = 1

We multiply the first equation by -0.10:

-0.10x-0.10y = -0.5

We have the following equivalent system:

-0.10x-0.10y = -0.5\\0.10x + 0.25y = 1

We add the equations:

-0.10x + 0.10x-010y + 0.25y = -0.5 + 1\\0.15y = 0.5\\y = \frac {0.5}{0.15}\\y = 3.33

Approximately 3 quater coins

x = 5-y = 5-3 = 2

And two dimes

Answer:

3 quater

2 dimes

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A space shuttle orbits earth one time in 90 minutes how many times does it orbit earth in six hours
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M is 1.5

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Answer:

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29. 1/f^4

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Step-by-step explanation:

27. \:  \:  \frac{ {x}^{ - 1} }{ {x}^{ - 8} }  \\  \frac{ {x}^{8} }{ {x}^{1} }  \\  {x}^{8 - 1}   =  {x}^{7} \\

28. \:  \:  \:  \frac{ {52x}^{6} }{ {13x}^{ - 7} }  \\   \frac{ {52x}^{6}  {x}^{7} }{13}  \\  {4x}^{6 + 7}  =  {4x}^{13}

29. \:  \: {f}^{ - 3} ( {f}^{2} )( {f}^{ - 3} ) \\  {f}^{( - 3) +2 + ( - 3) }  \\  {f}^{ - 4}  \\  \frac{1}{ {f}^{4} }  \\

30. \:  \: \frac{ {x}^{ - 4} }{ {x}^{ - 9} } \\   \frac{ {x}^{9} }{ {x}^{4} }  \\  {x}^{9 - 4}  =  {x}^{5}

31. \:  \:  \frac{ {24x}^{6} }{ {12x}^{ - 8} }  \\  \frac{ {24x}^{6} {x}^{8}  }{12}  \\  {2x}^{6 + 8}  =  {2x}^{14}  \\

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