MODULE: Learning Skills Out of School Activity 1 (mathematics) A decorating quote In some countries, patterned wallpaper is used to cover walls to make them attractive. Wallpaper is manufactured in long rolls that the homeowner cuts into shorter lengths and stic it to the wall. The problem A couple bought a house and employed you to help them decorate it. You need to know how many rolls of wallpaper to buy to decorate their basement room, so yo know how much to charge them for materials. However, they are not sure which type of wallpaper to buy Rules and information. Wallpaper rolls are 53 cm wide and 10.05 m long On each wall, the paper must be placed with the centre of the roll in the centre of the wall. The paper must not be cut or joined part way down a wall. (Only full lengths of wallpaper are allowed) The dimensions of the rectangular room are 3.38 x 4.95 m. The height is 2.40 m. Wallpaper with a flower pattern that repeats every 64 cm costs RM270 per roll. Wallpaper with a check pattern that repeats every 10 cm costs RM290 per roll. Question (1) Estimate the number of rolls of paper needed by making rough estimates.

Question (2) Showing all your working steps, calculate the cost of decorating the room with either of the rolls of paper.

mr. flanders’ class sold 47 doughnuts and   mr. rodriquez’s class sold 38 cartons of milk

step-by-step explanation:

let x be the number of doughnuts sold by mr. flanders’ class and y be the number of cartons sold by mr. rodriquez’s class.

1. together, the classes sold 85 items, then

x+y=85.

2. both classes earn earned $104.49 for their school. if doughnuts were sold for $1.35 each, then x doughnuts costed $1.35x. if cartons of milk were sold for $1.08 each, then y cartons costed $1.08y. hence,

1.35x+1.08y=104.49.

3. solve the system of two equations:

answer: he is 272195

step-by-step explanation: all you have to do is multiple 3535 and 77 and it equals 272195

delaney would like to make a 5lb nut mixture that is 60% peanuts and 40% almonds.

she has several pounds of peanuts and several pounds of a mixture that is 20% peanuts and 80% almonds.

let 'p' represent the number of pounds of peanuts needed to make the new mixture, and  

let 'm' represent the number of pounds of the 80% almond-20% peanut mixture.

:

p + m = 5

therefore

m = (5-p)

write an equation based on the percent of peanuts

1p + .2m = .6(5)

replace m with (5-p)

p + .2(5-p) = .6(5)

p + 1 - .2p = 3

p - .2p = 3 - 1

.8p = 2

p = 2/.8

p = 2.5 lbs of peanuts required

then

5 - 2.5 = 2.5 lbs of the peanut/almond mixture required

:

a) what is the system that models this situation?

p + m = 5

1p + .2m = .6(5)

step by step resolutions

1) n+n+1+n+2=51

3n+3=51

3n=48

n=16

the three numbers are 16, 17 and 18.

2) x+15=4x

3x=15

x=5

radha is now 5 years old

3) the two digits are x and y.

y=3x

(10x+y)+(10y+x)=88

y=3x

11x+11y=88

y=3x

x+y=8

x+3x=8

x=2

the original number can be either 28 or 82.

4) n+(n+2)+(n+4)=48

3n+6=48

3n=42

n=14

the numbers are 14, 16 and 18.

5) y=x+3

10y+x+10x+y=143

y=x+3

11x+11y=143

y=x+3

x+y=13

x+x+3=13

2x=10

x=5

the original number can be 57 or 75.

hope this !