Agardner plants two trees
type a is 9 feet tall and grows a rate of 17 inches per year
type b is 2 feet tall and grows a rate of 24 in per year
algebraically determine exactly how many years it will take for these trees to be the same height

Step-by-step explanation:

before we make out equation, we have to turn our tree heights into inches.

1 ft = 12 inches

9 ft = (9 * 12) = 108 inches

2 ft = (2 * 12) =24 inches

let x represent number of years

Type A :

108 + 17x

Type B :

24 + 24x

now it wants to know how many years till there the same heightwhen they will be equalso set them equal and solve for x

108 + 17x = 24 + 24x

108 - 24 = 24x - 17x

84 = 7x

84/7 = x

12 = x

so they will be the same height in 12 years <===

true statements:

a) x + y = y + x   ⇒ commutative property of addition

b) (x * y) * z = x * (y * z) ⇒ associative property of multiplication

d) (x + y) + z = x + (y + z) ⇒ associative property of addition

false statements:

c) x - y = y - x   should be: x - y = - y + x

e) (x - y) - z = x - (y - z) should be: (x - y) - z = x - (y + z)

step-by-step explanation:

b. 1.25 hr

step-by-step explanation:

if you have a constant speed of 60 mph, then you have a ratio between 60 mi. to 1 hr. dividing both sides by 60 we get the ratio

1 mi. to

then mult. both sides by 75 we get the ratio

75 mi. to

simplifying we get

75 mi. to

or 1.25 hr.