On wednesday the farmers at the marshall farm picked 3 1/5 barrels of tomatoes. thursday, the farmers picked 2 1/10 times as many tomatoes as on wednesday. how many barrels of tomatoes did the farmers pick on thursday?

3/4

Step-by-step explanation:

The number of barrels on Thursday is the product of the number of barrels on Wednesday and the ratio of barrels Thursday/Wednesday.

... (Wed barrels) × (Thu barrels)/(Wed barrels) = (Thu barrels)

... 9/10 × 5/6 = (9×5)/(10×6) = 45/60

... = (3×15)/(4×15) = 3/4 . . . . barrels picked on Thursday

y=-2.5x+12.5

step-by-step explanation:

5y=2x+10

y=0.4x+2

slope=-2.5

5=-2.5*3+b

b=12.5

delaney would like to make a 5lb nut mixture that is 60% peanuts and 40% almonds.

she has several pounds of peanuts and several pounds of a mixture that is 20% peanuts and 80% almonds.

let 'p' represent the number of pounds of peanuts needed to make the new mixture, and  

let 'm' represent the number of pounds of the 80% almond-20% peanut mixture.

:

p + m = 5

therefore

m = (5-p)

write an equation based on the percent of peanuts

1p + .2m = .6(5)

replace m with (5-p)

p + .2(5-p) = .6(5)

p + 1 - .2p = 3

p - .2p = 3 - 1

.8p = 2

p = 2/.8

p = 2.5 lbs of peanuts required

then

5 - 2.5 = 2.5 lbs of the peanut/almond mixture required

:

a) what is the system that models this situation?

p + m = 5

1p + .2m = .6(5)