Nappe

This is simple proportions

Let's assign variables. Let x = # of dollars Cartos receives

43 pounds/$23.65 = 200 pounds/ $x

The amount of money is multiplied by 200/43

So we have to multiply the number of dollars by that

and we get  110 dollars

each season is 3 months long 

Summer Fall Winter spring

     +3        +3         +3    +3

It will be winter

ON the left side it started off 4 and is now 12 which is a 300%increase

6*3= 18 

18-6= 12 

x=12

We can pick 2 seniors and there are 5 seniors so 5 x 4 = 20 ways to pick seniors 

We can pick 1 freshman and there are 5 freshmen so 5 ways to pick freshman

We can pick 1 sophomore and there are 4 so 4 ways to pick sophomores. 

We can pick 1 junior and there are 6 so 6 ways to pick a junior

20 x 5 x 4 x 6 = 2400 different comittees

Every year the account is increased by 1.08x

so 

we start with $6700 x (1.08)^24

1.08^24 =/  6.34

6700 x 6.34= 42485.91 dollars

The bottom was at first 22 and is now 14 that is a 700/11 % decrease

so we now decrease every side by  700/11%

I think you can do the rest.

PQ and PR are congruent so 

2x=8

x=4

2*4=8

PR=8

ST and TU are congruent so

5z=2z+3

3z=3

z=1

5*1=5

ST=5

A=BH

      ---

       2

a=(25x40) /2

= 500u^2

let's assign variables

Adults= A    Children=C

We know that an adult cost 4$ so 4A

We know a kid cost 2$ so 2C

We know that 2C+4A= 6400

We know that there are A number of adults and C number of children

So, we know C+A= 2000

multiply it by two so that we can subtract the two equations.

We can subtract these two equations. 

2c+4a=6400

-2C+2A=4000

2A=2400

--     ------

2        2

A=1200

Plug it into either of the equations

C+1200=2000

C=800

1200 Adults and 800 children

-10x +8y=-44

4x+8y=40

First, let's subtract these two equations

If we do that we get:

-14x=-84

divide both sides by -14 

x=6

We can now plug in x=6 in either of the two equations. I'll plug it into the second one

4(6) + 8y = 40

24+8y=40

-24        -24

8y= 16

---    ----

8       8

Y=2