So women:men=5:7
for every 5 units of women, there are 7 units of men so
there are 140 men and that equals 7 units so
140=7 units
solve for 1 unit
140/7=20
1 unit=20
women=5 units
5 times 20=100
women=100
total=women+men=100+140=240
another way would be to add up the units (5+7=12) and multiply by the amount per 1 unit
Answer:

Step-by-step explanation:





1) Answer: 
<u>Step-by-step explanation:</u>
f(x) = 6x⁻¹
f'(x) = -6x⁻²
= 
f'(-2) = 
= 
= 
*****************************************************
2) Answer: 
<u>Step-by-step explanation:</u>
f(x) = -9x⁻¹
f'(x) = 9x⁻²
= 
f'(6) = 
= 
= 
Answer:
if two parallel lines are cut by a transversal so that the alternate interior angles are <u>congruent,</u> then the lines are parallel.
Answer:
2y-x= -10
3y-x = 18
Step-by-step explanation:
The correct option is . 2y-x = -10 , 3y-x = 18
one half x − 5 = 1/2 (x-5)
one third x + 6 = 1/3 *(x+6)
1/2 x-5 = 1/3x+6 =y
y= 1/2x-5
y = 1/3x+6
Now,
y=x/2 -5 equation 1
y = x/3 +6 equation 2
By taking L.C.M of the first equation we get:
y=x/2 -5
y= x-10/2
Now multiply both terms by 2.
2y=x-10
2y-x= -10
Now lets solve second equation:
Take L.C.M of the second equation:
y = x/3 +6
y=x+18/3
Multiply both sides by 3
3y= x+18
3y-x = 18
Therefore the system of equations we get is:
2y-x= -10
3y-x = 18 ....