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Mumz [18]
3 years ago
9

If you have to drive 200 miles and someone drives 4/10 of the distance and some one else drives 20% what does the other person.

Have left to drive
Mathematics
1 answer:
Dafna11 [192]3 years ago
8 0

Answer:80 miles

Step-by-step explanation:

40% of 200 is 80 and the first two people drive a total of 60% leaving 40% for the last person

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Over a period of 3 years, the company’s sales of biscuits increased from 15.6 million packets to
horsena [70]

Answer:

33%

Step-by-step explanation:

So you Subtract 20.8 by 15.6 and you get 5.2.

Then you divide 5.2 by 15.6 getting you .33. Then you'll make it into a percentage getting you 33%. This could be wrong but let me know.

I hope this helps! ^^

5 0
3 years ago
Consider the surface f (x comma y comma z )f(x,y,z)equals=negative 2 x squared plus 2 y squared minus 3 z squared plus 3 equals
trapecia [35]

Answer:

a) (8,8,-6)

b) 4x+4y+3z = -3

Step-by-step explanation:

a)

The surface is given by the equation  

f(x,y,z) = 0 where

f(x,y,z)=-2x^2+2y^2-3z^2+3

The gradient of this function is the vector

(\frac{\partial f}{\partial x},\frac{\partial f}{\partial y},\frac{\partial f}{\partial z})=(-4x,4y,-6z)

If we evaluate it in the point P = (-2,2,1) we obtain the point

(8,8,-6)

b)

The vectors with their tails at P are of the form  

(-2,2,1)-(x,y,z) = (-2-x, 2-y, 1-z)

as they must be orthogonal to the gradient, they must be orthogonal to the vector (8,8,6) so their inner product is 0

(-2-x,2-y,1-z)\cdot(8,8,6)=0\Rightarrow -16-8x+16-8y+6-6z=0\Rightarrow 4x+4y+3z=-3

and the equation of the desired plane is

4x+4y+3z = -3

3 0
3 years ago
Factor x3 + 3x2 + 2x completely.<br> x(x2 + 3x + 2)<br> x(x + 1)(x + 2)<br> x(x - 1)(x - 2)<br> DONE
Natasha2012 [34]

\text{To factor out the expression, all of the numbers have to have the same}\\\text{amount of variables}\\\\\text{You would see that in the expression}\,\, x^3 + 3x^2 + 2x\,\,\text{they all}\\\text{have "x"}\\\\\text{Factor out x:}\\\\x^3 + 3x^2+2x\\\\x(x^2+3x+2)\\\\\text{Factor}\,\, x^3 + 3x^2+2x\\\\x(x+1)(x+2)\\\\\boxed{\text{Answer:}\,x(x+1)(x+2)}}

6 0
3 years ago
Read 2 more answers
Michael’s weight can be represented by the expression 72x^5. Al’s weight can be represented by the expression 9x^7.
podryga [215]

Answer:

a) \frac{72x^5}{9x^7}

b) =\frac{8}{x^2}

c), Yes;8x^2

Step-by-step explanation:

Michael's Weight: 72x^5

Al's weight: 9x^7

a) Ratio of Michael's weight to Al's weight: \frac{72x^5}{9x^7}

b) This ratio simplifies to:  \frac{8\times 9x^5}{9x^5\timesx^2}

                                         =\frac{8}{x^2}

c) Yes, If the exponent in each expression were negative, then we have:

Ratio of Michael's weight to Al's weight: \frac{72x^{-5}}{9x^{-7}}

This ratio simplifies to:  8x^{-5--7}=8x^2

The two ratios are not the same.

3 0
3 years ago
BD bisects ∠ABC, m∠ABD=(7x−1)°, and m∠DBC=(4x+8)°. Find m∠ABD.
Naya [18.7K]

Answer:

  m∠ABD = 20°

Step-by-step explanation:

The bisector makes angles ABD and BDC congruent, so ...

  7x -1 = 4x +8

  3x = 9 . . . . . . add 1-4x to both sides

  x = 3

  m∠ABD = (7x-1)° = (7·3 -1)°

  m∠ABD = 20°

4 0
3 years ago
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