Solveit

1000000=1000000

i think:

9 cards each of different colour. 9 cards include a pink and a green card. How many different arrangements do not include a pink card next to a green card?

9 diffrent cards can be in 9! = 362880 arrangment s

So let s calculate how many arrangment we have if the pink card is next to green card(let s bring them together like 1):

8! = 40320

9!-8! = 322560

ouh yea sorry :)

1m=100 cm

1.35*100+8 = 143

X X X X -it is your 4 digit number between 5000 and 6000

5 1 1 1

   2 2 2

   3 3 3

   4 4 4

   5 5 5

   6 6 6

The numbers below the X is the numbers wich you can put in term s of X . SO on the thousands digit you can put only one number (5) , on the hundreds digit you can put six numbers (1,2,3,4,5,6) and so on...

\(1 \times 6 \times 6 \times 6 =216\)

rarinstraw1195 it is very easy problems watch that videos and yo will unerstand:

1. distance between two points:

https://www.youtube.com/watch?v=nyZuite17Pc

2.Trig finding angles:

https://www.youtube.com/watch?v=_jynxLePABE

1. In a quadrilateral PQRS, the angles P, Q and R are in the ratio 1:4:8 and their sum is 273degrees.

    Find (a) angle S (b) angle R

(a) 360-273= 87degrees

     angle S= 87degrees

So you found angle S right ! :)

angle R:

the angles P, Q and R are in the ratio 1:4:8 and their sum is 273degrees.

you can write in term s of 1:4:8    1x:4x:8x   and their sum is 273degrees:

\(x+4x+8x=273 \\ 13x=273 \\ x=21\)

our

R=8x

R=168

2.A sum of money is divided in the ratio 2:3:7. Given that the largest share is $112, calculate the smallest share

So the largest is 7x which is 112:

\(7x=112 \\ x=16 \)

and the smallest one is 2x :

\(x=16 \\ 2x=32\)

3. Express the following ratio in their lowest forms, giving your answer in the form m:n where m and n are integers.

(a) 42:30

\(42:30 \text{ (devide both sides by 2 )}\\ \frac{42}{(2)}:\frac{30}{(2)} \\ 21:15 \text{ (devide both sides by 3 )}\\ \frac{21}{(3)}:\frac{15}{(3)}\\ 7:5\)

for that you need to find common devisor and devide it until you will not left with any common devisor (sorry for english :D).The others in the same rule (if you will stuck write it on the calculator here it will show you it on the fraction form for example:\(\frac12 \)  it is 1:2)