Mrs. Garcia has two kinds of flowers in her garden. The ratio of lilies to daisies in the garden 3:2 if there are 15 lilies, what is the total number of flowers in her garden?

The total number of flowers in Mrs. Garcia's garden is 25.

Step-by-step explanation:

The ratio of lilies to daisies is 3:2 and there are 15 lilies. We need to compute the number of daisies first and then add both the number of daisies and lilies to compute the total number of flowers. Using the ratio method:

Lilies : Daisies

  3    :     2

  15   :    x

By cross multiplying we get:

3x = 15*2

3x = 30

x = 10

Hence, the total number of flowers in the garden are:

10 + 15 = 25

The total number of flowers in Mrs. Garcia's garden is 25.

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