Kaya works for a t-shirt company and has 49.5 yards of fabric to make specialty t-shirts. each t-shirt needs 4.5 yards if fabric and sells for $22.50. how much money can kaya make using the fabric she has?

$ 247.5 is earned from selling shirts using the fabric she has

Solution:

Given that, Kaya works for a T-shirt company and has 49.5 yards of fabric to make specialty T-shirts

Each T-shirt needs 4.5 yards if fabric and sells for $22.50

To find: Amount earned by using the fabric she has

From given question,

Total yards of fabric = 49.5

Fabric needed for 1 shirt = 4.5 yards

Number of shirts made is given by:

Thus 11 shirts are made

Each shirt is sold for $ 22.50

Cost of 11 shirts = 11 x 22.50 = 247.5

Thus $ 247.5 is earned from selling shirts

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