164x + 24(2x) < = 4240
164x + 48x < = 4240
212x < = 4240
x < = 4240/212
x < = 20
for a dog.....2x = 2 * 20 = 40.....so it costs 40 per dog and 20 per cat
40 times there are 4quarts in each gallon so 4 times 10 gallons
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
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<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
I'm not sure what you want but the slope for each graph from left to right is 5, -7/8, -2.
The equation of each graph from left to right in slope intercept form is
y = 5x + 2, y = -7/8x - 11/8, y = -2x + 6.
The total is $26 with the tip this is a 30% tip
