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i think its 7/16

Final equation: 64+64=128

2/7+1/4 -------> 8/28+7/28=15/28

 

3*4^201

81 * 3 * 3 * 3 * 3  * 3 = .........

81 * 3⁵ =............   

6 : 40

Hello Guest!

\({\color{blue}\angle_{6:40}}=40\ min\cdot \frac{360\ degrees}{60\ min}-(6\cdot 60+40)\ min\cdot \frac{360\ degrees}{12\cdot 60\ min}\color{blue}=40\ degrees\)

  !

Hour hand    180 + 40(.5) = 200 degrees

minute hand    40( 6)  = 240 degrees

240 - 200 = 40 degrees

I think it is 40 degrees :-)

Is that :   f(x) = (x-1)² * (x+8)   ??

For BD to bisect angle(B) and also to bisect the side AC, triangle(ABC) must be an isosceles triangle with

AB = BC.

Since AB = AC, all three sides, AB, BC, and AC are equal in length.

This means that triangle(ABC) is an equilateral triangle, so each of its angles must equal 60^o.

If it takes 12 teenagers to eat one pizza in 20 minutes, they spent  12 x 20  =  240  teenager-minutes chewing.

So, how many teenagers will it take to eat that pizza in 18 minutes?

Divide the number of teenager-minutes by minutes to get the number of teenagers.

240 teenager-minutes  /  18 minutes  =  13 1/3 teenagers.

x = 65/8

lcm ( 12, 16) = 48

(x + y)^2              +         (x - y)^2 =

x^2 + y^2  + 2 xy  +       x^2 + y^2 - 2xy  =

2x^2 + 2y^2 =

2 ( 2006) + 2 (2007) =     <======== you can finish

There is a mistake in your question! The 94th term ==27 NOT 39 !! Check your numbers carefully.

94==F + 26D,   

27==F + 93D, solve for F, D

F ==120 - this is the first term

D == - 1 - this is the common difference.

Your sequence looks like this:

120 , 119 , 118 , 117 , 116 , 115 , 114 , 113 , 112 , 111 , 110 , 109 , 108 , 107 , 106 , 105 , 104 , 103 , 102 , 101 , 100 , 99 , 98 , 97 , 96 , 95 , 94 , 93 , 92 , 91 , 90 , 89 , 88 , 87 , 86 , 85 , 84 , 83 , 82 , 81 , 80 , 79 , 78 , 77 , 76 , 75 , 74 , 73 , 72 , 71 , 70 , 69 , 68 , 67 , 66 , 65 , 64 , 63 , 62 , 61 , 60 , 59 , 58 , 57 , 56 , 55 , 54 , 53 , 52 , 51 , 50 , 49 , 48 , 47 , 46 , 45 , 44 , 43 , 42 , 41 , 40 , 39 , 38 , 37 , 36 , 35 , 34 , 33 , 32 , 31 , 30 , 29 , 28 , 27 , 26 , 25 , 24 , 23 , 22 , 21 , >>Number of terms = 100>>Total Sum == 7050

Let the number of pennies ==P

Then, number of nickels ==1/2P

The numbers of quarters ==3 x 1/2P ==1.5P

P  +  1/2P +  1.5P ==192

3P ==192 and P ==192 / 3 ==64 - number of pennies he has.

64 / 2 ==32 nickels he has

32 x 3 ==96 quarters he has.

[64 x 0.01]  +  [32 x 0.05]  +  [96 x 0.25] ==$0.64  + $1.60  +  $24 ==$26.24 - amount of money Tyler has.

2 + 4 + 8 + 16 + 32 + 64 + 128 + 256 + 512  = 1022

2¹⁰  = 1024

there are TWO more grains on k = 10 than the rest

-3 is <= 0 so the top equation applies       f(-3) = 2 - -3 = 5

o is <= 1    so the top equation applies     f(0) = 2-0 = 2

3 is > 1      so the bottom equation applies  f(3) = 2(3)-(3)^2  = -3      

                      5 + 2 -3 = 4

Simply    11 pages / (1/4 hr ) =  44 p/hr

20 *(7/8)   + 20 * ( 3/4)   +  20* (3/5) = $............ spent

   or  20 * ( 7/8 + 3/4 + 3/5) = $.............. spent

Yes,

  3.103 e-01 mm    just move decimal one position over to the left

.3103 mm   

Well I measured this in pints. 1 quart is equal to 2 pints and if they had 3 quarts at the begining, they basically have 6 pints.

Family: 6p

And if they drank 2 quarts and 1 pint, 2 quarts is 4 pints, plus another pint is a total of 5 pints

6p-5p = p

1 Pint

This problem is very mentaly simple, I just explained it in a way.

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