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Mumz [18]
3 years ago
10

1 2/5 divided by 2 3/4

Mathematics
1 answer:
LekaFEV [45]3 years ago
5 0

The answer is 28/55.

In order to find this, the easiest thing to do is to make both of the terms improper fractions. To do that for any term, you need to multiply the big number by the bottom of the fraction (denominator) and then add that to the top number (numerator). Then this can be expressed over the original bottom number.

\frac{WHOLE*BOTTOM + TOP}{BOTTOM}

\frac{1*5 + 2}{5}

\frac{7}{5}

Now do the same for the second fraction.

\frac{WHOLE*BOTTOM + TOP}{BOTTOM}

\frac{2*4 + 3}{4}

\frac{11}{3}

Now that we have both in that way, we can flip the second fraction and multiply. This is the same as dividing when you are using fractions.

\frac{7}{5} / \frac{11}{4}

\frac{7}{5} * \frac{4}{11}

\frac{28}{55}

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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
4 years ago
Question is on picture<br><br> Please help<br> Zoom in if needed :D
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3 years ago
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Nataliya [291]

Answer:

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Step-by-step explanation:

4 0
3 years ago
There are 6 flavors of candy in a bag. The probability of randomly selecting strawberry is 1/4, lime is 3/16, cherry is 1/8, and
Iteru [2.4K]
The answer is 3/8. You can find a common denominator of 64 among all of the fractions. From this, you can find how many orange candies there are. There is 64 candies, and 40 of them are other flavors, so there's 24 orange candies. You can create the fraction 24/64 and simplify it down to 3/8.

3 0
3 years ago
Read 2 more answers
The total amount of money saved in
fiasKO [112]
Answer is 14

Step by step explanation

The amount is same so
64+8w=92+6w
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w=14 => after 14 weeks
6 0
3 years ago
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