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3 years ago

the ratio of cars to minivans in the parking lot is 2 to 3 there are 96 minivans. How many cars are in the lot

Mathematics

1 answer:

andre [41]3 years ago

6 0

let y = total vehicles in lot

2x + 3x = y

you know there are 96 minivans, so 3x = 96.

solve for x, x = 96/3 means x = 32 vehicles.

2x = cars = 64

3x = minivans = 96

y = total vehicles = 160. An alternate solution is to multiply 96 times 2/3 which = 64 also.

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Answer:

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Step-by-step explanation:

Given surface function is,

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To find tangent plane at the point (5,-1,1).

We know equation of tangent plane at the point $(x_0,y_0,z_0)[/tex] is,

$z=f(x_0,y_0)+f_x(x_0,y_0)(x-x_0)+f_y(x_0,y_0)(y-y_0)\hfill (1)$

So that,

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$f_y=-\frac{6}{5}x\implies f_y(5,-1,1)=-6$

Substitute all these values in (1) we get,

$z=\frac{6}{5}(x-5)-6(y+1)-\frac{6}{5}$

$\therefore z=\frac{6}{5}(x-5y-11)$

Which is the required euation of tangent plane.

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