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Lena [83]
3 years ago
12

An experienced employee can enter tax data into a computer tree times as fast as a new employee. Working together, it takes them

9hrs. How long would it take the experienced employee working alone?
Mathematics
1 answer:
disa [49]3 years ago
3 0

Answer:

12 hours

Step-by-step explanation:

Let x hours be the time needed for the experienced employee, then 3x hours is time needed for the new employee.

Then, the experienced employee completes \dfrac{1}{x} of the whole work per hour and the new employee completes \dfrac{1}{3x} of the whole work per hour.

Altogether the can complete

\dfrac{1}{x}+\dfrac{1}{3x}=\dfrac{4}{3x}

of the whole work per hour and need

\dfrac{1}{\frac{4}{3x}}=\dfrac{3x}{4}

hours to finish the whole work.

Working together, it takes them 9 hours, then

\dfrac{3x}{4}=9\\ \\3x=36\\ \\x=12\ hours

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Montano1993 [528]
When the height is 0 that is when it hits the ground
solve
0=-16t²+25x+3
cant factor so use quadratic formula

for
0=ax²+bx+c
x=\frac{-b+/-\sqrt{b^2-4ac}}{2a}

so for
0=-16t²+25t+3
a=-16
b=25
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so

x=\frac{-25+/-\sqrt{25^2-4(-16)(3)}}{2(-16)}
x=\frac{-25+/-\frac{625+192}}{-32}
x=\frac{-25+/-\frac{817}}{-32}
it has to be a positive time

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3 years ago
Write 6/10 as a terminating decimal
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I can't figure out the slope of (-5,1) and (6, 4)​
Nuetrik [128]

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5 0
3 years ago
What numbers multiply to 6 and add up to 9
Nookie1986 [14]
Xy = 6
x + y = 9

     x + y = 9
x - x + y = -x + 9
           y = -x + 9

                                          xy = 6
                                x(-x + 9) = 6
                            x(-x) + x(9) = 6
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                            -x² + 9x - 6 = 0
              -1(x²) - 1(-9x) - 1(6) = 0
                       -1(x² - 9x + 6) = 0
                                 -1           -1
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                             x = -(-9) ± √((-9)² - 4(1)(6))
                                                 2(1) 
                             x = 9 ± √(81 - 24)
                                            2
                             x = 9 ± √(57)
                                        2
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- (4.5 ± 0.5√(57))    - (4.5 ± 0.5√(57))
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The two numbers that multiply to 6 and add up to 9 are 4.5 ± 0.5√(57).
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