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vladimir2022 [97]
3 years ago
10

3. Adam deposits 4

Mathematics
1 answer:
8090 [49]3 years ago
5 0

Answer:

$3105.97

Step-by-step explanation:

checks add up to $2333.66

then add it change up

33 $1=$33

103 $5=$515(10 $5=$50 $50*10=500 +$15 cause 3$5=$15)

1$10=10

12 25¢=$3(4quarters make $1 4/12=$3)

5 10¢=50¢

200 5¢= $10(20 5¢=$1 so 20*10=200 so have $10)

81 1¢=81¢

change added together=$772.31

now add checks and cash=$3105.97

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Note: 6 employees means half of the employees contributed $7.75 each.


6 x $7.75 = $46.50.


To find how much money remains to be collected, subtract $46.50 from $100.


So, $100 - $46.50 = $53.50 is the answer.


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<img src="https://tex.z-dn.net/?f=5x-%20%5Cdfrac%7B%20%5Csqrt%7B%209%20%7B%20x%20%7D%5E%7B%202%20%7D%20-6x%2B1%20%5Cphantom%7B%5
Morgarella [4.7K]

Answer:

=5x+1          or          =5x-1

Step-by-step explanation:

One is given the following equation:

5x-\frac{\sqrt{9x^2-6x+1}}{1-3x}

The problem asks one to simplify the expression, the first step in solving this equation is to factor the equation.  Rewrite the numerator and denominator of the fraction as the product of two expressions. Remember the factoring patterns:

(a-b)^2=a^2-2ab+b^2

=5x-\frac{\sqrt{9x^2-6x+1}}{1-3x}

=5x-\frac{\sqrt{(3x-1)^2}}{-(3x-1)}

Now simplify the numerator. Remember, taking the square root of a squared value is the same as taking the absolute value of the expression,

=5x-\frac{\sqrt{(3x-1)^2}}{1-3x}

=5x-\frac{|3x-1|}{-(3x-1)}

Rewrite the expression without the absolute value sign in the numerator. Remember the general rule for removing the absolute value sign:

|a-b|\\=a -b           or           (-a-b) = b-a

=5x-\frac{|3x-1|}{-(3x-1)}

=5x-\frac{3x-1}{-(3x-1)}          or          =5x-\frac{-(3x-1)}{-(3x-1)}

Simplify both expressions, reduce by canceling out common terms in both the numerator and the denominator,

=5x-\frac{3x-1}{-(3x-1)}          or          =5x-\frac{-(3x-1)}{-(3x-1)}

=5x-(-1)          or          =5x-(1)

Simplify further by rewriting the expression without the parenthesis, remember to distribute the sign outside the parenthesis by the terms inside of the parenthesis; note that negative times negative equals positive.

=5x-(-1)          or          =5x-(1)

=5x+1          or          =5x-1

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X = 112

Sorry I had to smoosh the image so it would fit.

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