Let's solve this problem step by step.
FIRST. <em>Quadrilateral A′B′C′D′ is obtained by a reflection across the y-axis of quadrilateral ABCD</em>
When we reflect a point across the y-axis, the y-coordinate remains the same, but the x-coordinate changes in sign. So:
(x, y) → (-x, y)
SECOND. <em>Followed by a translation 3 units to the left and 3 units down.</em>
To translate a point <em>3 units to the left</em> subtract 3 from the x-coordinate and to translate a point <em>3 units down </em>subtract 3 from the y-coordinate. Therefore, the function we are looking for is:
f(x, y) = (-x - 3, y - 3)
For this case, what you should know is that Sue Jones insurance covers half of the expenses. Equivalently, her insurance covers:
10/20 = 1/2 = 0.5
Therefore, we have then that
a. for Albert
0.5 * (12000) = $ 6000
b. for Sam
0.5 * (8000) = $ 4000
c. total
The sum of the results of parts a and b
$ 6000 + $ 4000 = $ 10,000
answer
$ 6000
$ 4000
$ 10,000
Gabriela needs to sell 4 more cups of coffee to make a profit of $75.
She sells 90 cups and makes $0.80 profit on each cup. That equals $72 profit.
90 x $0.80= $72
She wants to make $75 profit.
$75 - $72 = $3 profit short for the day
$3/$0.80 = 3.75 cups of coffee short so to make her profit she must sell a total of 94 cups of coffee for the day or an additional 4 cups.
