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7nadin3 [17]
2 years ago
9

Sven Hendriksson finds that one of his productivity measures is related to the number of employees, e, and the production, n, by

the equations:
10n + 3e = 45 and 2n + 5e = 31
What are the current values for e and n?
Mathematics
1 answer:
muminat2 years ago
8 0

Answer:

n = 3

e = 5

Step-by-step explanation:

10n + 3e = 45

2n + 5e = 31

10n + 3e = 45

10n + 25e = 155

o + 22e = 110

e = 5

to fix 5 into the first equation

10n + 3(5) = 45

10n + 15 = 45

10n = 45 -15

10n = 30

n = 3

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How many extraneous solutions does the equation below have? StartFraction 9 Over n squared 1 EndFraction = StartFraction n 3 Ove
BigorU [14]

The equation has one extraneous solution which is n ≈ 2.38450287.

Given that,

The equation;

\dfrac{9}{n^2+1} =\dfrac{n+3}{4}

We have to find,

How many extraneous solutions does the equation?

According to the question,

An extraneous solution is a solution value of the variable in the equations, that is found by solving the given equation algebraically but it is not a solution of the given equation.

To solve the equation cross multiplication process is applied following all the steps given below.

\rm \dfrac{9}{n^2+1} =\dfrac{n+3}{4}\\\\9 (4) = (n+3) (n^2+1)\\\\36 = n(n^2+1) + 3 (n^2+1)\\\\36 = n^3+ n + 3n^2+3\\\\n^3+ n + 3n^2+3 - 36=0\\\\n^3+ 3n^2+n -33=0\\

The roots (zeros) are the  x  values where the graph intersects the x-axis. To find the roots (zeros), replace  y

with  0  and solve for  x. The graph of the equation is attached.

n  ≈  2.38450287

Hence, The equation has one extraneous solution which is n  ≈  2.38450287

For more information refer to the link.

brainly.com/question/15070282

5 0
2 years ago
Solve for x.<br><br> 25x=65<br><br><br> 1225<br><br> 125<br><br> 3<br><br> 6
NARA [144]

25x = 65
Divide both sides by 25 to isolate x:

\frac{25x}{25}  =  \frac{65}{25}  \\  \\ x =  \frac{13}{5}  = 2.6
8 0
3 years ago
Read 2 more answers
Just #2 . Help !! Please :)
kirza4 [7]
180- 113 = 67

180- 67= 113

<5= 67
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8 0
3 years ago
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Write the least common denominator for 2/3, 4/5, and 5/6.
Lunna [17]

Answer:

30 I think but I'm probably wrong

5 0
2 years ago
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HELP When 2((Three-fifths x + 2 and three-fourths y minus one-fourth x minus 1 and one-half y + 3)) is simplified, what is the r
lesya692 [45]

Answer:

<h2> StartFraction 7 over 10 EndFraction x + 2 and one-half y + 6</h2>

Step-by-step explanation:

Given the expression 2(\frac{3x}{5}+2\frac{3y}{4}-\frac{x}{4}-1 \frac{1}{2}y+3)

To simplify the expression, we need to first collect the like terms of the functions in parentheses as shown;

= 2(\frac{3x}{5}-\frac{x}{4}-1 \frac{1}{2}y+2\frac{3}{4}y+3)\\= 2(\frac{3x}{5}-\frac{x}{4}- \frac{3}{2}y+\frac{11}{4}y+3)\\

Then we find the LCM of the resulting function

= 2(\frac{3x}{5}-\frac{x}{4}- \frac{3}{2}y+\frac{11}{4}y+3)\\= 2(\frac{12x-5x}{20} - (\frac{6y-11y}{4})+3)\\= 2(\frac{7x}{20}- (\frac{-5y}{4})+3 )\\= 2(\frac{7x}{20}+ \frac{5y}{4}+3 )\\= \frac{7x}{10} + \frac{5y}{2} +6\\=  \frac{7x}{10} + 2\frac{1}{2}y+6\\

The final expression gives the required answer

7 0
2 years ago
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