Help please, I don’t get it

9514 1404 393

  £66

Step-by-step explanation:

I like to work problems involving ratios by considering the value of each "ratio unit." Before we get that far, we need to finish the division ratios.

  Dan : Eva = 3 : 4

There are two remaining divisions, each getting half Eva's amount. That is, each of those gets 4/2 = 2 "ratio units." Then the full division ratios are ...

  Dan : Eva : Freddie : Gok = 3 : 4 : 2 : 2

for a total of 11 ratio units. Those 11 units represent £242, so each one represents £242/11 = £22. That makes Dan's 3 units worth ...

  3×£22 = £66 . . . the amount Dan gets

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