Sumo is making a necklace the ratio of red beads to turquoise beads on the necklace 5: 1. if there are 55 red beads how many are turquoise

Step-by-step explanation:

The ratio of red beads to turquoise beads = 5:1

Total ratio = 5 + 1 = 6

Let the total no. Of beads be y

The number of red beads = 55

:- 5/6 × y = 55

5y = 55 × 6

y = (55 × 6)/5

y = 66 beads

No. Of turquoise beads = 66 - 55

= 11

add 5 subtract 1

step-by-step explanation:

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