Red = 13%

Orange = 4%

Yellow = 5%

Green =  15%

Blue = 16%

Purple = 12%

So......

(13) / (13 + 4 + 5 + 15 + 16 + 12) = 1/5 = 20%

oops... i did it again

We can't answer this unless we know how much older the box turtle is than the map turtle.......

( 1 + 1 + 2 + 5 + 6 + 7 + 10 + 10 + 13 + 18 + 19 + 20 + 24 + 26 + 27 + 31 + 36 + 54 + 63 + 67 ) / 20 =

22 years

Anonymous has the correct months, but the average is (21 + 23 + 22 + 24 + 15)/5 =

21 eggs

[pi/10]  + x = pi     where x is the supplement....so.....

x = pi - pi/10   =  [10pi - pi ] / 10  = [9/10] pi

7x because if you find the notation of the rice and add the tax.

He does (1/3) lap in (1/9) hr.....so......multiplying both by 9, we have.....

3 laps in 1 hour   ..... and  3 laps x (1/3) mile per lap  = 1mile.....so he travels at.....

1 mile per 1 hour

We have 12 girls and we can pick any three.....and we have 10 boys and we can pick any three

So  C(12,3) * C(10,3)  = 26,400 ways

sin 75° = x/75

x = 75*sin 75° 

x = 72.444436971675

You would do cos^-1(b/c).

Just find (sin 75°)*75 to figure out.

Solution #81: Early Bird

For fifty minutes. She saved the chauffeur ten minutes of traveling time each way and thus was picked up at 4:50 pm rather than the usual time.

this is dividing fractions, guys

2/1 divided by 2/7

do the recipicult=

2/1 * 7/2

times that, equals

14/2

divide both sides by 2, equals 7/1, equals 7

the answer to 2 divided by 2/7 equals 7

done!

Use atan  it means the same as tan^-1

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12012₃  = 1(3)^4 + 2(3)^3 + 0(3)^2 + 1(3)^1 + 2(3)^0   =  81 + 54 + 0 + 3 + 2 =  140₁₀

In base 8: 75₈ = 7*8 + 5 = 61

In base 7 we would need:  115₇ = 1*7² + 1*7 + 5 = 61

So base 8 is the smallest.  i.e. B = 8

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$$\frac{3^6}{6^4\cdot625}\rightarrow\frac{3^6}{6^4\cdot5^4}\rightarrow 9\cdot (\frac{3}{30})^4\rightarrow \frac{9}{10^4}\rightarrow 0.0009$$

so there are 4 digits to the right of the decimal point.

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0.050505...... =  5/99 *1.8 =  [5/99] * [18/10]  = [5/10]*[18/99] = [ 1/2]*[18/99] = [9/99] = 1/11

As a fraction 0.05050505..... is 5/99

As a fraction 1.8 is 9/5

So the product is (5/99)*(9/5) = 1/11

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To find x, we want to isolate it...

Add 14.32 to both sides. 

You get 2.4x=17.52

Divide both sides by 2.4

You get x=7.3

I hope this is correct....

Here are my results:

The results are the same as Melody's but also include the answer to part (c).

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