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MGoo said on a repost that he does not understand this answer.

At any one time there are 4 tires being used.

Since there are 5 tires in total that means that each tyre must be used 4/5 of the time.   (4 are used out of a possible 5 tyres)

4/5 * 20000 = 16000

Each tyre does 16000 km.

The sum is 50.5 * 100

OQ => r

∠OQU = 54º

QU = cos(θ) * r

OU = sqrt(r² - QU²)

[PQRST] = 5(QU * OU)

? / 12 = 27 / ?

? = √324

? = 18

Let me correct the question first:

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

Giuseppe adds all but one of the first 20 positive integers. His sum is a square of the excluded number. Which number did Giuseppe not include?

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

The sum = 10.5 * 20 = 210

210 - 14 = 196

14² = 196

a*b  =  2a - b²

a*6  =  2a - 6²  =  8

2a - 6²  =  8

2a - 36  =  8

2a  =  44

a   =   22

1  =  3x - 8

9  =  3x

3  =  x

s(t(3))  =  3² + 8(3) - 2

s(  1  )  =  9 + 24 - 2

s(  1  )  =  31

How many values of x with 0 <= x < 990 degrees satisfy sin x = -1?

Hello Guest!

\(\dfrac{990}{360}=2.75\)

2 values of x satisfy sin x = -1 because x < 990.

If x <= 990 degrees, then 3 values of x satisfy sin x = -1.

  !

Since △ABC ~ △ACD,

AC / AD   =   AB / AC

AC / AD  =  AB / AC

x / 12  =  27 / x

x * x / 12   =   27

x * x   =   27 * 12

x²   =   324

x   =   sqrt(324)

x   =   18

Note:If we reduce a by b%, then final amount will

be = a - ab/100 

= a(100-b)/100.

Let the cost of the toaster is $x. 

Since the amount paid for the kettle is 2/5 the

cost of the toaster, then the cost of kettle will

be $ 2x/5.

According to the given conditions, 

x + 2x/5 = 105

Or, 7x/5 = 105

Or, x = 105*5/7 = 75

So, the cost of the toaster is = $75 and the cost of the kettle is = $(105-75) =$30.

Since the toaster was reduced by 20%, then before reduction its price was

 = $ 100*75/(100-20) = $ 93.75

Thus before reduction the price of kettle was = $(133-93.75) = $ 39.25

So, the percentage of reduction of the price of kettle is

 = ((39.25 - 30)*100)/30 = 23.5669%

Therefore required answer is 23.5669%.

Conversion formula

           1 Gallon = 4 Quarts

                         = 16 Cups

   => 1 Quarts   = 4 Cups

------------------------------------------------------------------------
Mrs. White has recipe for 3 quarts (12 cups)

       1 1/5 cups of pineapple juice

                        (6/5 cups)

          1/2 cup of orange juice

and Rest (12 - 6/5 - 1/2 = 103/10 cups)

       
        of lemon lime soda

  these are the recipes for 3 Quarts

(12 cups) of Punch

------------------------------------------------------------------------

We want the recipe for 6 gallons 

           of punch

     => 6 gallons = 6 * 16 = 96 cups

     but 96 = 12 * 8

           each recipe for 12 cups gets

     multiplied by 8

          required recipe for 6 gallons of

      punch is

          6/5 * 8 = 48/5 = 9 3/5 cups of pineapple juice

          1/2 * 8 = 4 cups of orange juice

f     13/10 * 8 = 412/5 = 82 2/5 cups of lemon-lime soda

Hi, I would really want to help, but I tried to solve this problem a few times before, but I'm not quite sure if it is correct. A piece of advice is to maybe ask one of the moderators like Melody, CPhill, Alan, asinus??? Try that.

You can do this by clicking their username on the right and at the top right you can send them an email/text.

Try using this link. 

First of all, you could just add it all up and divide it by 16, but if you want to do it the formula way, you can do this:

1) to find the sum of 75 + 76 + 77 + 78 + 79 + 80 + 81 + 82 + 83 + 84 + 85 + 86 + 87 + 88 you want to do \(\frac{((75+88)(14))}{(2)}\) and then you'd be able to figure out the answer for the sum.

2) Just divide the answer by 16.

By the way, I'm not going to tell you the answer. I honestly think that you will be able to solve this on your own. Good Luck!!!!

Green area = 1/2[ABCDEF]

Thanks abcd...  Now it looks relevant.

I changed the colours so it is easier to see both graphs.

We can first set the smaller one to be \(a\), and the larger one to be \(a+2\). Now, the problem tells us that \(a(a+2)=99\). Multiplying out and rearranging, we obtain the equation \(a^2+2a-99=0\). We can factor this as \((a-9)(a+11)=0\), so the solutions are \(a=-11\) or \(a=9\). This means that the odd integers could either be \(\boxed{-11,-9}\), or they could be \(\boxed{9,11}\).

Hope this helped 

Find the area of the equiangular octagon below.

Hello Guest!

The area of the equiangular octagon is \(A=3\times 3-4\times \dfrac{1}{2}=7\)

(A)    7

  !

a==19 and 62

Their sum==19 +62 ==81

Sorry again...

64 cm² is area of given hexagon ABCDEF in which each side is 5cm