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1 year ago

Jennifer has 25 coins with a total value of $4.25. The coins are quarters and nickels. How many of each does she have?

Mathematics

1 answer:

kirill115 [55]1 year ago

8 0

Answer:

15 quarters, 10 nickels

Step-by-step explanation:

$q+n=25$

$0.25q+0.05n=4.25$

multiply the first equation by -0.25 and add the second equation to it

$-0.25q-0.25n=-6.25\\0.25q+0.05n=4.25$
________________
$-0.2n=-2$

$n=\frac{-2}{-0.2} =10$ has 10 nickels

$q=25-n=25-10=15$ has 15 quarters

10(.05) +15(0.25) = 0.5 + 3.75 = 4.25

Hope this helps

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For this case we have that by definition, the equation of the line of the slope-intersection form is given by:

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Where:

m: It is the slope of the line

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According to the statement data we have:

$m = -4\\(x, y) :( 3,7)$

Then, the equation is of the form:

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We substitute the given point and find "b":

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Finally, the equation is of the form:

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Answer:

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3 years ago

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3 years ago

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natima [27]

Answer:

$\boxed{ \bold{ \boxed{ \sf{1. \: \: \: \: \: x = 12}}}}$

$\boxed{ \bold{ \boxed{ \sf{2. \: \: \: \: \: x = 3}}}}$

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$\sf{1. \: \: \: \: \frac{x}{3} + 2 = \frac{x}{4} + 3}$

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Similarly, move 2 to right hand side and change it's sign

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Subtract 2 from 3

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Do cross multiplication

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Move x to left hand side and change it's sign

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Collect like terms

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Subtract 12 from 33

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