Answer:
1/10
13/100
4/5
12/25
3/10
63/100
3/5
51/200
2/9
5/11
To prove the last 2 recurring ones:
0.222222... = x
10x = 10 * 0.22222... = 2.222222....
Notice how the decimal part of 10x is the same as for x:
10x - x = 2.2222222... - 0.222222... = 2
10x - x = 9x = 2
x = 2/9
Same procedure for the other one but times by 100 instead:
x = 0.454545...
100x = 45.454545...
100x - x = 45.454545... - 0.454545... = 45
100x - x = 99x = 45
x = 45/99 = 5/11
Answer:
105 sq cm
Step-by-step explanation:
The bottom rectangle is 6 x 15 = 90 sq cm
The triangle at the top has a length of 15 - 9 = 6 cm and a height of 11 - 6 = 5 cm.
A triangle is 1/2bh so 1/2 x 6 x 5 = 15 sq cm
Add the areas together
It’s cheaper to take this bus. Compare 166 to 190
Answer:
a) No.
b) Yes.
Step-by-step explanation:
a) It's not proportional. Although the graph represents a straight line, it does not pass through the origin (0,0).
b) It is proportional. It is a straight line that passes through the origin.