SCIENCE
Parts of the Animal Cells

Cell Membrane: A cell membrane works like a screen. It lets the good things in like nutrients and lets the bad things out like waste. It is like a sieve.
Cytoplasm: Cytoplasm is the jelly-like part of the cell where the action takes place. It is where the nutrients are used.
Nucleus: The nucleus is the brain of the cell. It controls the cell, and tells it what to do. The nucleus also contains the DNA which is like a blueprint. A blueprint is a plan that people use when they build. A cell's blueprint is the plan the cell uses when it reproduces.

SCIENCE
Plant Cells

Plant cells are cells that are in plants. Plant cells are like animal cells, but they have a cell wall and chloroplasts. Here's a labeled picture of a plant cell. You will see all the main parts of the cell. Listed below are definitions of those words. Read on to learn more about photosynthesis.

Cell Membrane: A thin layer that surrounds the cell.
Cell Wall: A rigid layer that surrounds the cell membrane of a plant cell.
Chloroplast: (KLOR-o-plast) A cell structure in which photosynthesis takes place, and it contains the chloropyll.
Chlorophyll: (KLOR-a-fil) A green substance in plant cells that helps to make food.
Cytoplasm: (SIGH-ta-plaz-em) The jellylike liquid in cells where activities take place.
Nucleus: (NEW-kle-us) The dark structure inside the cell that controls the cell's activities and contains material such as DNA.
Photosynthesis: (foto-SIN-thi-sis) The process when plants use lights energy to make food.

MATH
Solving Problems Involving System of Linear Equations (Work problems)

Ex.

In a day,Rey can plow 1/4 of a ricefield and Rolly can plow 1/6 of it.If they worked together,how long will it take them to plow vthe whole field?

(1/4+1/6=1/t)12t

3t+2t=12
5t = 12
5t/5 = 12/5
t=2 2/5 days

MATH
Solving Problems Involving System of Linear Equations
(Investment problems)

Ex.
Two investments are made totaling P15 000.Part of the P15 000 is invested at 9% and part at 10%.For a certain year,these investmentsyield P1 432 in simple interest.Find the amount invested to each rate.

let a=1st investment at 9%
b=2nd investment at 10%

(equation 1) (a+b=15 000 )-0.1
(equation 2) 0.09a+0.16=1432

0.09a+0.16=1432
-o.19+0.16=-1 5 000
_______________
-0.01a/0.01 =-168/0.01
a =P 6 800

b=15 000 - a
b=15 000 -6800
d=P8 200

9%=P6 800
10%=P8 200

Solving Problems Involving System of Linear Equations
(Mixture problems)

Ex.
One canned juice drink is 15% lemon juice;another is 5% lemon juice.How many liter of each should be mixed together in order to get 10L that is 10% lemon juice.

(equation1) x+y=10L
15%(x)+5%(y)=10L(10)
(equation2) 0.15x+0.05y=10(0.1)

o.15x+o.o5(10-x)=1
o.15+0.5-0.05 =1 (transpose 0.5 to the other side)
0.1x/ 0.1 =0.5/0.1
x = 5
15% lemon juice=5L
5% lemon juice=5L

MATH
Solving Problems Involving System of Linear Equations(Uniformotion problems)

Ex.

A train leaves station x and travel east at 30kph.2 hours later,another train leaves the same station and travels in the same direction on a parallel track at 45 kph.At what point will the faster train overtake the slower train?

d=rt
da=30t
db = 45t2

30t=45t2
t1=2+t
t2=t

da =30(2+t)
db =45(t)
60t =45t
60+30t=45t (transpose 30t to the other side)
60=45t-30t
60/15 =15t/15
4 = t

da =30(2+4)
=30(6)
=180 km

db =45(t)
=45(4)
=180 km

SCIENCE
Abiogenesis and Biogenesis

In biogenesis, the ancient Greeks believed that living things could spontaneously come into being from nonliving matter while in the abiogenesis,In the natural sciences, abiogenesis, or origin of life, is the study of how life on Earth could have arisen from inanimate matter.

MATH
Solving Problems Involving System of Linear Equations(Digit problems)

Ex.
the sum of the digits of a two-digit number is 10.If the digits are reversed,the number is increased by 36.What is the number?

First identify the variables.

let x -be the ten's digit
y-be the one's digit

Then,find their equations.
x+y=10
10(x)+y=10

10y+x=10x+y+36 (transpose 10x,y to the other side.)
10y+x-10x-y=36

(x+y=10)9
9y+9x=90
9y-9x=36
________
18y/18 =126/18
y =7


y(10)+x=10
10y+x=10
y-36

3+y=10
y=10-3 (transpose 3 to the other side)
y=7
x+7=10
x=10-7 (transpose 7 to the other side)
x=3

Therefore, the digits are 37 (original) and 73(reversed)

Solving Problems Involving System of Linear Equations(Age problems)

Ex.
Abby is 7 years older than Joeric.Next year,.she will be 1 year more than twice as old as he will be.How old are they now?

First identify the variables.

let a - age of Abby at present
b - age of Joeric

a+1 - age of Abby next year
b+1 - age of Joeric next year

a=7+b
a+1=1+2(b+1)
a+1=1+2b+2
a+1+2b+3

7+5+1=2b+3
b+8=2b+3 (transpose 3 to the other side) (transpose b to the other side)
8-3=2b-b
5=5

a=7+5
a=12 years old

Abby is 12 years old while Joeric is 5 years old.

Then,find their equations.

MATH
Solving Problems Involving System of Linear Equations(Number Relation)

Ex.
The sum of two numbers is 50 and their difference is 20,find the numbers.Then define the variablers. So, let x be the 1st #,y be the 2nd #. Then identify the equations.

x+y = 50
x-y = 20 (cancel the y's)
_________
2x/2 = 7o/2
x = 35


x+y = 50 ( substitute the x with 35 )
35+y = 50 ( transpose 35 to the other side)
y = 50-35
y = 15

therefor, the numbers are 35 and 15.


I hope you got it.

Thanks......