AlgebraGuru

7/7 - 3/7 = 4/7 are chicken pies

2/3 * 3/7 = 6/21

6/21 of the pies + 253 = 5/6 of the pies

6/21 = 12/42

5/6 = 35/42

35/42 - 12/42 = 12/42

253 = 12/42 of the pies

42/42 = ?

? is the total number of pies.

You can solve from here.

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vertical and horizontal?

What do you mean with "types of lines"?

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cos(27)  = x /164       multiply both sides by 164

x = 164 * cos(27) = about 146.125069966832

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Guest is right, 30, 60, 90 is the answer.

180 - 90 = 90

The two other angles have to equal 90 degrees and form an arithmetic sequence. 30, 60, 90 is the only sequence that fits both conditions.

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There are four 2's, four 4's, four 6's, four 8's, four 10's, and four jacks, four queens, and four kings. There are 26 red.

26 red cads + 2 twos + 2 fours + 2 sixes + 2 eights + 2 tens + 2 queens + 2 kings + 2 jacks = 42

42/52 = 21/26

So, the answer is 21/26.

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Since you have two six-sided die, you have 2 sets of 1-6.

Set 1: 1,2,3,4,5,6

Set 2: 1,2,3,4,5,6

Now, we need to find out how many items in the sets add up to equal a sum less than 4.

1 + 1 = 2

2 + 1 = 3

We can roll a 1 and a 1 with a 1/6 chance each.

We can also roll a 1 and a 2 with a 1/6 chance as well.

So, to get the final probability, we would multiply the two fraction together.

1/6 x 1/6 = 1/36

There is a 1/36 chance that the sum of the numbers you roll will be less than 4.

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If  x ,  y , and  z  are positive...

\(\frac{x}{|x|}+\frac{y}{|y|}+\frac{z}{|z|}+\frac{xyz}{|xyz|}\,=\,\frac{x}{x}+\frac{y}{y}+\frac{z}{z}+\frac{xyz}{xyz}\,=\,1+1+1+1\,=\,4\)

If only  x  is negative...

\(\frac{x}{|x|}+\frac{y}{|y|}+\frac{z}{|z|}+\frac{xyz}{|xyz|}\,=\,\frac{-|x|}{|x|}+\frac{y}{y}+\frac{z}{z}+\frac{-|x|yz}{|xyz|}\,=\,-1+1+1-1\,=\,0\)

If only  y  or only  z  is negative, the result will also be  0 .

If  x  and  y  are negative, and  z  is positive...

\(\frac{x}{|x|}+\frac{y}{|y|}+\frac{z}{|z|}+\frac{xyz}{|xyz|}\,=\,\frac{-|x|}{|x|}+\frac{-|y|}{|y|}+\frac{z}{z}+\frac{(-|x|)(-|y|)z}{|xyz|}\,=\,-1-1+1+1\,=\,0\)

If any two are negative, the result will also be  0  .

If  x ,  y , and  z  are negative...

\(\frac{x}{|x|}+\frac{y}{|y|}+\frac{z}{|z|}+\frac{xyz}{|xyz|}\,=\,\frac{-|x|}{|x|}+\frac{-|y|}{|y|}+\frac{-|z|}{|z|}+\frac{(-|x|)(-|y|)(-|z|)}{|xyz|}\,=\,-1-1-1-1\,=\,-4\)

So, the answer is -4, 0, and 4!!

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distance = rate * time, so d = rt
therefore r = d/t 
r = 0.5mi/0.75hr = 0.67 mi/hr

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I don't think there are any 4 digit₃ that translate to 2 digit₅

Smallest 4 digit base 3 is 1000  which is 27₁₀

Largest base 5  two digit is 44₅ = 24₁₀

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So we have that

[Bx  - 11 ] / [ x^2 -7x + 10]   =  A / [ x -2 ] + 3 / [x - 5]

Using partial fractions we can simplify this as

Bx  - 11   =  A[x - 5] + 3 [ x - 2]       simplify more

Bx  - 11  =  Ax - 5A  + 3x  - 6

Bx  - 11  = [ A + 3 ] x + [ -5A - 6 ]     equate coefficients

B  =  A +  3      

-11  = -5A - 6   ⇒  -5  =  -5A  ⇒    A  = 1

So....B  = 1 + 3   =  4

So....A + B  =   1  +  4  = 5

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