Answer:
2010
Step-by-step explanation:
If the numbers are x and y, you have ...
x +y = 97
x -y = 37
Adding these two equations gives ...
2x = 134
x = 67
y = 67 -37 = 30
The product is then ...
xy = (67)(30) = 2010
__
<em>Alternate solution</em>
There is no need to find the actual numbers. We can go directly to their product.
(x+y)² = x² +2xy +y² = 97² = 9409
(x-y)² = x² -2xy +y² = 37² = 1369
Subtracting the second equation from the first gives ...
4xy = 9409 -1369 = 8040
xy = 8040/4 = 2010
Of course the difference of squares can be factored, so we could compute ...
(97² -37²)/4 = (97 +37)(97 -37)/4 = 134(60)/4 = 134(15) = 2010
Answer:
$801
Step-by-step explanation:
The cost is computed as ...
total cost = yearly fee + time-based charge
= $129 + ($16/h)·(42 h)
= $129 + 672
total cost = $801
X = amount of seeds.
y = amount of dried fruits.
we know the snack mix contains both, and we know is 10oz, thus
x + y = 10, whatever ounces "x" and "y" are.
how much is it for "x" ounces if each one costs $1.5? well is just 1.5*x or
1.5x.
how much is it for "y" ounces if each one costs $2.5? well is just 2.5*x or
2.5x.
the mix contains 10 ounces, each of which costs $2.2 each, how much will it be then for 10 oz? well, is just 10 * 2.2, or $22.
since the whole 10 oz snack mix costs 22 bucks, then
1.5x + 2.5y = 22.

how many ounces of dried fruit is there anyway? well, y = 10 - x.