What is the slope of this line? −3 4 −3/4 3/4

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:

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

So, J : K = 1 : 3

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

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

$L =200$

New total number of employees after hiring 20 new J employees :

New J + K + L = (New J = J + 20 = 40 + 20 = 60 )

60 + 120 + 200 = 380

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

4 0

3 years ago

See the attached picture.

katrin2010 [14]

Answer:

67.5 ft

Step-by-step Explanation:

==>Given:

∆MAB and ∆MNP, such that:

AB is parallel to NP

MN and MP are transversal

MN = 71.5 ft

MP = 97.5 ft

AN = 22ft

MA = MP - AN = 71.5 - 22 = 49.5 ft

MB = x

==>Required:

Value of x

==>Solution:

From the figure given, since AB is parallel to NP, and MN and MP are transversal, thus:

<MAB is congruent to <MNP

<MBA is congruent to <MPN

This implies that ∆MAB is similar to ∆MNP

Therefore, the ratio of their corresponding sides would be the same, and also proportional.

Thus,

MA/MN = MB/MP

49.5/71.5 = x/97.5

=>Cross multiply to solve for x

49.5 × 97.5 = x × 71.5

4,826.25 = 71.5x

=>Divide both sides by 71.5

4,826.25/71.5 = x

67.5 = x

x = 67.5 ft

6 0

3 years ago

Complete the equations. look at photo

Jlenok [28]

Answer:

25.8

258.

2580.

Step-by-step explanation:

just move the decimal that many times

8 0

3 years ago

Read 2 more answers

Which rule best described the following pattern 5,6,15,16,25,26,35

ad-work [718]

The pattern is increasing by 10 then a ding 1 to the next number. Hope this helps! :)

6 0

3 years ago

I need help! (It's easy)

kati45 [8]

A.) it's a 90° angle
90=6x+4x+10
90=10x+10
-10 -10
80=10x
divide both sides by 10, x=8
B.) it's a 180° angle
180=5x+13+3x+7
180=8x+20
-20 -20
160=8x
divide both sides by 8, x=20
C.) it's a 180° angle
180=3x+5+2x+18+2x+17
180=7x+40
-40 -40
140=7x
divide both sides by 7, x=20
D.) it's a 180° angle
180=90+30+x
180=120+x
-120 -120
60=x

7 0

3 years ago