The ratio of men to women in an office is 4 to 5. If there are a total of 48 men in the office, then how many men and women are there altogether?

108 people

Step-by-step explanation:

4 : 5

To go from 4 to 48 we times by 12. So we do the same to 5.

5 times 12 = 60

48 + 60 = 108

:)

108

Step-by-step explanation:

For every 4 men there is 5 women. 48 / 4 = 12

12 * 5 = 60

so it's 48:60.

Then add it 48 + 60 = 108.

5x + 3y = - 4

step-by-step explanation:

the equation of a line in standard form is

ax + by = c ( a is a positive integer and b, c are integers )

express the line first of all in slope- intercept form

y = mx + c ( m is the slope and c the y-intercept )

to calculate m use the gradient formula

m = ( y₂ - y₁ ) / ( x₂ - x₁ )

with (x₁, y₁ ) = (7, - 3) and (x₂, y₂ ) = (4, - 8)

m = = -

y = - x + c ← is the partial equation

to find c substitute either of the 2 points into the partial equation

using (4, - 8 ), then

- 8 = - + c ⇒ c = -

y = - x - ← in slope-intercept form

multiply all terms by 3 to eliminate the fractions

3y = - 5x - 4 ( add 5x to both sides )

5x + 3y = - 4 ← in standard form