Rewrite in simplest terms: −9(5s−6)+9s

-36s + 54

Step-by-step explanation:

−9(5s − 6) + 9s =

-45s + 54 + 9s =

-36s + 54

−36s+54

Step-by-step explanation:

let's distribute:

= (−9)(5s)+(−9)(−6)+9s

= −45s+54+9s.

ok, now let's combine like terms.

= −45s+54+9s

= (−45s+9s)+(54)

= −36s+54

−9(5s−6)+9s is −36s+54 in simplest form! :)

you forgot an image

step-by-step explanation:

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)