9. Luna opened an account with $50 and plans to deposit $ 15 each week. On the same day, Mason opened an account with $10 and plans to deposit $25 each week. Write and solve an
inequality to represent the number of weeks
that Luna's account balance will be greater
than or equal to Mason's.

Step-by-step explanation:

Let the number of weeks = x

Luna's account:

Amount deposited in x week = 15 *x = 15x

Balance after 'x' weeks = 50 + 15x

Mason's account:

Amount deposited in x weeks = 25 * x = 25x

Balance after 'x' weeks = 10 + 25x

Luna's account ≥ Mason's account

50 + 15x ≥ 10 + 25x

Subtract 10from both sides

50 - 10 + 15x  ≥ 10 - 10 + 25x

40 + 15x ≥ 25x

Subtract 15x form both sides

40 ≥ 25x - 15x

40 ≥ 10x

Divide both sides by 10

40/10 ≥ x

4 ≥ x

x ≤4 weeks

-3

step-by-step explanation:

a drawing really does here:

so i draw the horizontal line y=2 and the vertical line x=-2 at this intersection i put b (this is where my right angle is going to be).   so point b is at (-2,2).   point a is 5 units long and is also on y=2 so this point has to be (3,2) or (-7,2) -doesn't matter i will go with (3,2).

now we know c is at (-2,y) we don't know the y yet bet we know that c is on x=-2.

we have the area of the triangle is .5bh=12.5

we know the base length is 5 (ab)

we have the height is (2-y) if you look at your

plug in

.5(5)(2-y)=12.5

solve for y to get the y-coordinate for c

2.5(2-y)=12.5

divide both sides by 2.5 giving:

2-y=5

now subtract 2 on both sides

-y=3

y=-3

step-by-step explanation: