Landon babysits and works part time at the water park over the summer. one week, he babysat for 3 hours and worked at the water park for 10 hours and made $109. the next week he babysat for 8 hours and worked at the water park for 12 hours and made $177. how much does landon make per hour at each job?

Landon earns $ 10.5 per hour for babysitting and $7.75 per hour at water park.

Step-by-step explanation:

Let b be the number of hours Landon babysits and w be number of hours Landon works at water park. Upon substituting our given values we can get a system of equations as:

We will use substitution property in order to solve this system of equations.

Now let us substitute w=7.75 in equation 1.

Therefore, Landon earns $10.5 for per hour babysitting and $7.75 for per hour at water park.

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-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