Answer:
Step-by-step explanation:
Let the total points be x
<u>Mark earned 90% of x which is 108 points:</u>
- 0.9x = 108
- x = 108/0.9
- x = 120
Total points were 120
Answer:
7 and 12
Step-by-step explanation:
x - y = 5
y = (5+x)
x+ (5+x) = 19
2x +5 = 19
2x = 14
x = 7
19-7 = 12
12 +7 = 19
12-7 = 5
Mary has 48 stickers. The ratio is 4:7
divide 48 with 4
48/4 = 12
Multiply 12 with 7
12 x 7 = 84
Mary buys another 8 stickers: 48 + 8 = 56
56:84 is the new ratio
hope this helps
Answer:
45%
Step-by-step explanation:
816 divided by 1,810 is .45
Yes.
It can be proved by contradiction.
Let:
a - a rational number
b - an irrational number
c - the sum of a and b

Let assume that c is a rational number. Then a and c can be expressed as fractions with integer numerator and denominator:

where


Since

are all integers, then the products

and the difference

are integers as well. It means that the number

is a rational number, but this on the other hand contradicts the earlier assumption that

is an irrational number. Therefore

must be an irrational number.