There were 24 boys and 20 girls in a chess club last year. This year the number or boys increased by 25% but the number of girls decreased by 10%. Was there an increase or decrease in overall membership?

Answers

Answer 1
Answer: original=24+20=44
ok so find increase and decrease
25%=1/4
10%=1/10

24 TIMES 1/4=6
increase by 25%
24+6=30

girls decrease by 1/10
20 times 1/10=2
20-2=18

38+18=48
48>44
increase
Answer 2
Answer: There was an increase in the overall membership

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If the ratio of the purple flowers to black flowers is 4 to 8 and there are a total of 108 flowers how many of the flowers are purple

Answers

Ok let's see.

The way to tackle this, is to first add up the ratio's.

So 4+8 = 12. Now this 12 is important as this is total number of shares (bunches) we need to allocate to 2 different flower colours.

Before we can know how much flowers = 4 and 8 bunches. We first need to work out how many flowers = 1 bunch.

It's simple.

108 (total number of flowers) ÷ 12 (bunches of flowers) = 9 flowers per bunch.

So if 1 bunch = 9 flowers.

4 : 8

= (4 bunches x 9 flowers) : (8 bunches x 9 flowers)

Which leads to...

36 purple : 72 black
Purple flowers: black flowers = 4:8 = 108

4 + 8 = 12

108 / 12 = 9. 

9 x 4 = 36. 

36 of the flowers are purple. 

What is the chance of guessing the order of all 52 cards in a deck correctly? I know its pretty big so just give an estimation. Thanks!

Answers

.
The chance is not pretty big.  It's pretty small.

The chance of guessing the first card correctly is (1/52) =  0.0192
The chance of guessing the 2nd card correctly is (1/51) =  0.0196
The chance of guessing the 3rd card correctly is (1/50) =  0.02
The chance of guessing the 4th card correctly is (1/49) =  0.0204
The chance of guessing the 5th card correctly is (1/48) =  0.0208
The chance of guessing the 6th card correctly is (1/47) =  0.0217
The chance of guessing the 7th card correctly is (1/46) =  0.0217
The chance of guessing the 8th card correctly is (1/45) =  0.0222
The chance of guessing the 9th card correctly is (1/44) =  0.0227
The chance of guessing the 10th card correctly is (1/43) = 0.0233
.
.
.
and you keep going like that.  Then the chance of guessing ALL of them
correctly is the product of all of the individual chances.

After the first ten, listed above, you're already down to

0.00000 00000 00000 00000 00000 00000 00000 00000 00000 00000 0712 .

You're not even 1 tenth of the way through the deck yet, and it just keeps
getting smaller as you keep going.

The chance of guessing the first 10 correctly is       ( 42 ! ) / ( 52 ! ) .
That's the number I just wrote up there, with 51 zeroes after the decimal point.

The chance of guessing the whole deck correctly is       1 / ( 52 !) .
That number starts out with roughly 51 more zeroes.
You might say that it's roughly 1 percent of 1 "googoleth".

My estimation is:  It's almost identical to zero.


What is the product of (-6.8)^2

Answers

Answer

46.24


Explanation

n² = n × n

∴ (-6.8)² = (-6.8) × (-6.8)

           = 46.24

The answer is positive since (-1)×(-1) = 1.


-6.8^2

You can do this with a calculator or pen and paper.

With a calculator;

-6.8 squared = 46.24 (Notice that the answer is positive!)

Help on 10b...
Don’t understand how to make a function with inconsistent points.

Answers

When you look at the scatter plot, you use the numbers in that for the numerator and denominators of your equation, then you evaluate from there and simplify your equation.

Which ordered pair is the solution to the system of equations?x+3y=12
-4x+3y=-3
A.
(0, 4)

B.
(6, 2)

C.
(3, 3)

D.
(0, −1)

Answers

-1*/x+3y=12
-4x+3y=-3 

-x-3y= -12
-4x+3y= -3
+-------------------
-5x= -15   
x=3

x+3y=12

3+3y=12

3y=9  y=3

(x,y)=(3,3)
x+3y=12\n-4x+3y=-3\n\nx+3y=12\n4x-3y=3\n------\n5x=15\nx=3\n\n3+3y=12\n3y=9\ny=3\n\n(3,3)

What is the approximate volume of the sphere? Use 3.14 to approximate pi and round the answer to two decimal places if needed.5mm



A.


1570 mm3


B.


523.33 mm3


C.


392.50 mm3


D.


166.67 mm3

Answers

D 166.67 mm3 ive had this question