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Dima020 [189]
3 years ago
12

N a recent election, Mark Benton received 780 votes for 12% of the total vote. How many people voted in the election?

Mathematics
1 answer:
Sloan [31]3 years ago
5 0

Answer: Answer C

Step-by-step explanation:

12%___780 votes

100%___X= 6500 votes

(100*780)/12 = 6500

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a BBQ restaurant grills 53 lb of chicken and one day. The restaurant does not close. How many pounds of chicken would the restau
nignag [31]

Answer: 19,345lb

Step-by-step explanation: 365(53)

4 0
2 years ago
Find equations of the tangent plane and the normal line to the given surface at the specified point. x + y + z = 8exyz, (0, 0, 8
Dima020 [189]

Let f(x,y,z)=x+y+z-8e^{xyz}. The tangent plane to the surface at (0, 0, 8) is

\nabla f(0,0,8)\cdot(x,y,z-8)=0

The gradient is

\nabla f(x,y,z)=\left(1-8yze^{xyz},1-8xze^{xyz},1-8xye^{xyz}\right)

so the tangent plane's equation is

(1,1,1)\cdot(x,y,z-8)=0\implies x+y+(z-8)=0\implies x+y+z=8

The normal vector to the plane at (0, 0, 8) is the same as the gradient of the surface at this point, (1, 1, 1). We can get all points along the line containing this vector by scaling the vector by t, then ensure it passes through (0, 0, 8) by translating the line so that it does. Then the line has parametric equation

(1,1,1)t+(0,0,8)=(t,t,t+8)

or x(t)=t, y(t)=t, and z(t)=t+8.

(See the attached plot; the given surface is orange, (0, 0, 8) is the black point, the tangent plane is blue, and the red line is the normal at this point)

4 0
3 years ago
Express 80 miles per hour in kilometers per hour
Anna [14]
80 miles per hour is 128.74752 kilometers per hour
8 0
3 years ago
Read 2 more answers
In parallelogram ABCD, AD = 4x - 10 and BC = 3x + 2. Find AD.
Helga [31]

Answer:12


Step-by-step explanation:

4x - 10= 3x+2 add 10= 4x = 3x+12 subtract 3x=1x 1x=12 divide 12 by 1=12 should be 12 sorry if I got it wrong...

8 0
3 years ago
(10 times 2) + 5 times 8 =
DerKrebs [107]
The answer is 60 because 10 x 2 is 20 and 5 x 8 is 40 and add those together to get 60
7 0
2 years ago
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