A manufacturer produces two types of bottled coffee drinks: cappuccinos and cafés au lait. Each
bottle of cappuccino requires 6 ounces of coffee
and 2 ounces of milk and earns a profit of $0.40.
Each bottle of café au lait requires 4 ounces of
coffee and 4 ounces of milk and earns a profit of
$0.50. The manufacturer has 720 ounces of coffee
and 400 ounces of milk available for production
each day. To meet demand, the manufacturer
must produce
at least 80 coffee drinks each day.
Let x = the number of cappuccino bottles and y=
the number of café au lait bottles.

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

this linear equation would have just one solution.

step-by-step explanation:

the reason why this would have one solution is that it is an expression with just one variable. since that variable is not raised to a power, it will always have just one solution.

s

step-by-step explanation:

a

step-by-step explanation: