Decimals, Percents, Fractions Flashcards
1/10
.1…10%
2/10…1/5
.2 20%
3/10
.3 30%
4/10
.4 40%
5/10..1/2
.5 50%
1/8
.125 12.5%
11/10
1.1…110%
12/10…6/5
1.2….120%
3/8
.375…37.5%
5/8
.625 62.5%
7/8
.875, 87.5%
10/8..5/4
1.25…125%
3/2
1.5 10%
62 divided by 10 to -2 power
6200
4,000000 x .0003
move decimal place four times to the right for to get 3 and move decimal place four places to the left to get 400
=400 x 3
300/.05
move decimals in the same direction on the top and bottom 30000/5 = 6,000
percent increase
To calculate the percentage increase: First: work out the difference (increase) between the two numbers you are comparing. Then: divide the increase by the original number and multiply the answer by 100. If your answer is a negative number then this is a percentage decrease.
New percent ( as % of original value)
new value/original value= 230/200
$230 is what percent more than $200
this is just like asking what the percent increase is = 40%
change in value/orginal value
30 is what percent more than 20
asking you to find the increase from 20 to 30
slope-intercept equation: y=mx + b
m= slope b=y
The distance between two points in the coordinate plane can be calculated by using the pythagorean theorem.
Fore example: points (1, 3) (7,-5)
side of traingle= 8 and 6
8 squared + 6 squared = c suqared
Draw the line represented by x-y=18
first rewrite the line in slope intercept form (y=x-18)
2nd fine the intercepts by setting x equal to 0 and y equal to 0.
- y=0-18 x=18
- (0,18) (18,0)
of all the quadrilaterals with a given area, the square has the minimum perimeter
Of all quadrilaterals with a given perimeter the square has the largest area
diagnoa of a square = s square root 2
this is also the face diagnoal of a cube.
diagnoal of a cube can be found using this formula
d=s cubbed
if the rectangle above has a width of 6, and the ratio of thw width to the length is 3:4 what is the diagnol
3/4=6/x
deluxe pythagorean theorem
ddsquared=x squared + y squared + z squared
x, y and z are the sides of the rectangular solid and d is the main diagnol
one revolution ( spinning of wheel) = one full circumfrance
if the wheel has a diameter of 4 ft and travels 3 circumfrance per second then the point travels at a rate of 3 x 4 pie=12pie feet per second.
Circumfrence and arc length. what is the arc length of axb
first find the cirumfrance then find the fraction of the arc is of the circle
the boundaries of a sector of a circle are formed by the arc and two radius
add them to find perimeter of circle
two circles and a rectangle form a cylinder
area of a cylinder = 2(rsquared_ + 2r x h
two circles and a rectangle form a cylinder
area of a cylinder = 2(rsquared_ + 2r x h
find the equation of the line containing the points (5,-2) (3,4)
y=-3x+b
solve for by ( they y intercepty, by plugging the coordinates of one point into the equation
–4=-3(3)+b = b=13
If the coordinates of point A are (2,2) and the coordinates of point B are (0,-2) what is the equation of the perpendicular bisector of line segment AB
first find slope of AB = 2
next find the slope of perpendicular bisector of AB= -1/2
now you know the equation of the perpendicular bi sector has the following form
y= -1/2x + b
to find b find the point where the lines bisect then plug the coordinates of this point into the equation above
Parrlelel lines have equal slopes
Perpendicular lines have negative reciporical slopes
