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10. Higher Order Thinking A carpenter plans to extend the length a
rectangular desk by 7 feet. Let x represent the desk's original leng
The expression 9(x + 7) represents the area of the desk's surface,
where 9 is the width, in feet, and (x + 7) represents the extended
length, in feet, of the desk. The carpenter thinks that the area a
extended portion of the desk is 16 square feet.
Which choice below includes the expanded form of the area
expression for the desk's surface and the correct area of the
extended portion of the desk's surface?
A 10x + 16 and 10x square feet
® 9x + 63 and 9x square feet

13.46

step-by-step explanation:

16.80 x .20 = 13.46

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)