Answer:
160
Step-by-step explanation:
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Answer:

Step-by-step explanation:
Given:
Given point P(6, 6)
The equation of the line.

We need to find the equation of the line perpendicular to the given line that contains P
Solution:
The equation of the line.

Now, we compare the given equation by standard form 
So, slope of the line
, and
y-intercept 
We know that the slope of the perpendicular line 



So, the slope of the perpendicular line
From the above statement, line passes through the point P(6, 6).
Using slope intercept formula to know y-intercept.

Substitute point
and 




So, the y-intercept of the perpendicular line 
Using point slope formula.

Substitute
and
in above equation.

Therefore: the equation of the perpendicular line 
Answer:
1 2/21
Step-by-step explanation:
We start out with:
3/7 + 2/3
In order to add them together, they must have an equal denominator. An easy way to find an equal denominator is the cross method. We divide 7 by 3 and 3 by 7, giving us a denominator of 21:
3/21 + 2/21
But what about the numerators? You do the same thing as before (multiplying by the other's denominator). Now we have:
9/21 + 14/21
We add both together (the denominator stays the same) and we get 23. 23/21 is correct but not in simplest form. We remove 21 from the numerator (because it is a whole) and finally get:
1 2/21!
≧◡≦
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Answer:
134 sneakers and 66 sandals
Step-by-step explanation:
Sneakers= x, sandals= y
Profit rate:
- sneakers: (10-2)/8= 25%
- sandals: (17-14)/14= 21.4%
Sneakers are more profitable, so it should be maximized.
Cost:
8x+14y≤2000
x+y≤200
if we assume the maximum of 200 shoes stocked, then:
x= 200-y
8(200-y)+14y ≤ 2000
1600 - 8y +14y ≤ 2000
6y≤400
y≤66 and x=134 is the best option