A candy store sells chocolate-covered almonds for $7.50 per pound and chocolate-covered peanuts for $5.00 per pound. The manager decides to make a bridge mix that combines the almonds with the peanuts. She wants the bridge mix to sell for $7.00 per pound, and there should be no loss in revenue from selling the bridge mix rather than the almonds and peanuts alone. How many pounds of chocolate-covered almonds and how many pounds of chocolate-covered peanuts are required to create 65 pounds of bridge mix?

32.5 lbs

Step-by-step explanation:

so divide 65 by 2 which will give you 32.5 it's eveny in half

answer: about 22.67

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