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Margaret [11]
3 years ago
9

How do you change the mix number 66 2/3 into a regular number?

Mathematics
1 answer:
gavmur [86]3 years ago
6 0
Denominator times whole number plus numerator, so:
66x2+3=135
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Congruent triangles if BCDE is congruent to OPQR then CD is congruent to
alexdok [17]

Answer:PQ

Step-by-step explanation:            __

Line up the two:  BCDE

                            OPQR


If they are the same which is equal to the same thing?


*hint* the two middle letters.



4 0
3 years ago
Use symbols Replace each with a number to make /24 >1/4 > 4/ a true statement
Ksenya-84 [330]

Answer:

Step-by-step explanation:

dont understand

8 0
3 years ago
Use the method of lagrange multipliers to find
Yanka [14]

Answer:

a) The function is: f(x, y) = x + y.

The constraint is: x*y = 196.

Remember that we must write the constraint as:

g(x, y) = x*y - 196 = 0

Then we have:

L(x, y, λ) = f(x, y) +  λ*g(x, y)

L(x, y,  λ) = x + y +  λ*(x*y - 196)

Now, let's compute the partial derivations, those must be zero.

dL/dx =  λ*y + 1

dL/dy =  λ*x + 1

dL/dλ = (x*y - 196)

Those must be equal to zero, then we have a system of equations:

λ*y + 1 = 0

λ*x + 1 = 0

(x*y - 196) = 0

Let's solve this, in the first equation we can isolate  λ to get:

λ = -1/y

Now we can replace this in the second equation and get;

-x/y + 1 = 0

Now let's isolate x.

x = y

Now we can replace this in the last equation, and we will get:

(x*x - 196) = 0

x^2 = 196

x = √196 = 14

then the minimum will be:

x + y = x + x = 14 + 14 = 28.

b) Now we have:

f(x) = x*y

g(x) = x + y - 196

Let's do the same as before:

L(x, y, λ) = f(x, y) +  λ*g(x, y)

L(x, y, λ) = x*y +  λ*(x + y - 196)

Now let's do the derivations:

dL/dx = y + λ

dL/dy = x + λ

dL/dλ = x + y - 196

Now we have the system of equations:

y + λ = 0

x + λ = 0

x + y - 196 = 0

To solve it, we can isolate lambda in the first equation to get:

λ = -y

Now we can replace this in the second equation:

x - y = 0

Now we can isolate x:

x = y

now we can replace that in the last equation

y + y - 196 = 0

2*y - 196 = 0

2*y = 196

y = 196/2 = 98

The maximum will be:

x*y = y*y = 98*98 = 9,604

6 0
3 years ago
Evaluate m + n2 if we know m = 2 and n = –2.
Inessa05 [86]
<span> m + n^2
= 2 + (-2)^2
= 2 + 4
= 6

answer is 6</span>
8 0
3 years ago
If you guys can figure this out I will name you most branliest
liberstina [14]
What do you need to find
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3 years ago
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