5. the length of time, y hours, it takes to put a jigsaw puzzle together is
inversely proportional to the number of children, x, working on it. it takes
16 children 6 hours to put the jigsaw puzzle together. how many children
are needed to put the same jigsaw puzzle together in 4 hours?

$9.41

step-by-step explanation:

m=-16

step-by-step explanation:

step-by-step explanation:

its 512 because parenthesis and to the 2nd power is 512 so it will be 512

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)