In a trivia competition, Shannon's score was up to 900 points. Then she scored -400 points inthe automobiles category. What was her score then?

Answer:

7/32

Step-by-step explanation:

7/8 x 1/4 = 7/32

So here we are being asked to draw a card that isn't a heart or a queen... the amount of cards that are not hearts or queens out of a 52 card deck is 36. So that makes the probability 36/52 if we want to make that a percent then we have to change the denominator to a 100 we end up with this problem:

36/52 = x/100

There are many ways we can solve this. One way being cross multiplying, which I think is the easiest.

If our problem is a/b = c/d we multiply a and d then we multiply b and c

Plugging our original problem into that, we 36 times 100 and 52 times x. That gives us 3600 and 52x

This is now an algebraic problem.

52x=3600

First step, divide each side by 52

We get x=69.2 rounded to the nearest tenth.

So our probability is about 69/100 or 69%

Any Questions?

proability is (desired outcomes)/(total possible outcomes)

total possible outcomes is 52 cards

out of those 52 cards, how many are NOT heart or queen?

hearts is a suit, so 1/4 of the deck (or 52/4=13 cards) are not what we want

queens, there are 4 queens in a deck, but one of them is a queen of hearts. to avoid doublecount, say 3 queens

so total of 13+3=16 cards to not pick

so we have 52-16=36 cards we want to pick

probablity=36/52=18/26=9/13≈63.23%

4x - 2 > 12 - 2x

6x - 2 > 12

6x > 14

x > 14/6

x > 7/3

In order to find the solution, you must find a common denominator.

A good common denominator for these 2 fractions is 40 because 5 times 8 is 40 and 8 times 5 is 40.

For 1/5, multiply the 1 by 8 because you multiplied the 5 by 8 and you must do the same thing you did to the denominator to the numerator, so 1 times 8 is 8.

1/5 = 8/40

You do the same thing to 2/8 except multiply by 5.

2 times 5 is 10.

2/8 = 10/40

Now you have the fractions 8/40 and 10/40.

10/40 is greater than 8/40, so 10/40 > 8/40.

10/40 = 2/8

2/8 is greater than 1/5.

Hope this helps. :)

Answer:

First piece = 4 inch, second piece = 12 inch , third piece  = 20 inch

Step-by-step explanation:

Length of the board = 36 inch

Let, the length of the first piece = X

So, according to the question

Second piece = 3 times X  = 3x

Third piece = 5 times X = 5X

Now,  first piece + second piece  + third piece = total length of the board

⇒ X + 3X+ 5X = 36 inch

or, 9X = 36 inch

or, X = 36/9  = 4 inch

So, length of the : First piece = 4 inch

Second Piece = 3X = 3 x 4 = 12 inch

Third piece = 5X = 5 x 4 = 20 inch