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Dafna11 [192]
2 years ago
10

Which expression is equivalent to the expression below? 15 + 10x - 14x - 9

Mathematics
1 answer:
pychu [463]2 years ago
6 0

Answer:

The last expression 9.

Step-by-step explanation:

hope this helps! let me know if I am wrong

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4 years ago
Read 2 more answers
At Gallicum Enterprises, all employees are in one of three categories: J, K, or L. The ratio of the numbers of employees in J to
MrRa [10]

Answer:

380.

Step-by-step explanation:

Given:

Total number of employees at Gallicum Enterprises are in the ratio,

J : k : L = 1 : 3 : 5 for some time.

Last month, 20 new J employees were hired, and no employees left and the new ratio of J to K is now 1 : 2.

Question asked:

What is the new total number of employees at Gallicum Enterprises ?

Solution:

<u>As given, J : K : L = 1 : 3 : 5 </u>

<em><u>So, J : K = 1 : 3 </u></em>

      \frac{J}{K} = \frac{1}{3}      \               (1)

As last month, 20 new J employees were hired, new ratio of J to K is now

1 : 2.

So, \frac{J+20}{K}=\frac{1}{2}  \ (2)

Dividing equation 1 and 2,

\frac{J}{K}\div{\frac{J+20}{K} } = \frac{1}{3}\div{\frac{1}{2} }

\frac{J}{K}\times{\frac{K}{J+20} } = \frac{1}{3}\times{\frac{2}{1} }\\\\ \frac{J}{J+20} =\frac{2}{3} \\\\

By cross multiplication:

3J=2(J+20)\\3J=2J+40

Subtracting both sides by 2J

J=40

From equation 1.

\frac{J}{K} = \frac{1}{3}    \\\\ \frac{40}{K} =\frac{1}{3}  \\\\

By cross multiplication:

K=40\times3\\\\ K=120

As given, J : K : L = 1 : 3 : 5

So,  K : L =  3 : 5

  \frac{K}{L} =\frac{3}{5} \\\\\\ \frac{120}{L} =\frac{3}{5}

By cross multiplication:

120\times5=3\times L\\600=3L

Dividing both sides by 3

L =200

<em>New total number of employees after hiring 20 new J employees :</em>

New J + K + L<u> =</u> (New J = J + 20 = 40 + 20 = 60 )

60 + 120 + 200 = 380

Therefore, the new total number of employees at Gallicum Enterprises is 380.

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