125.63 (dollars) / 18.25 (hrs) = 6.88384 dollars per hr....he just figure out what he made per hr...and when rounded, he made about 6.88 per hr
= x1 + x2/2 , y1 + y2/2
= 7+-1/2 , 1+(-1)/2
Midpoint = (3,0)
Answer:
A. 25°
Step-by-step explanation:
25° is really the only logical answer.
Answer:
$293.83
Step-by-step explanation:
She started with $153. The next day she withdrew $15.72 six times, that is $15.72*6 = $94.32
We have to subtract $94.32 from the starting amount, that is $153 - $94.32 = $58.68
After that, she deposited $235.15. We have to add that to the current balance.
Now she has $58.68 + $235.15 = $293.83
Therefore, her account balance after these transactions is $293.83
Answer:
- dimensions: 12 ft by 5 ft
- area: 60 ft²
Step-by-step explanation:
Let x represent the shorter dimension in feet. Then the longer one is x+7 and the Pythagorean theorem tells us the relation of these to the diagonal is ...
x² + (x+7)² = 13²
2x² +14x + 49 = 169 . . . . eliminate parentheses
x² +7x -60 = 0 . . . . . subtract 169 and divide by 2
(x +12)(x -5) = 0 . . . . factor the equation
x = -12 or +5 . . . . . . . only the positive value of x is useful here.
The short dimension is 5 ft, so the long dimension is 12 ft. The area is their product, 60 ft².
_____
<em>Comment on finding the area</em>
The quadratic equation above can be rearranged and factored as ...
x(x +7) = 60
Since the dimensions of the garden are x and (x+7), this product is the garden's area. This equation tells us the area is 60. We don't actually have to find the dimensions.
