The sum of a rational number and an irrational number?
1 answer:
Answer:
Is irrational
Step-by-step explanation:
Let be a rational number, and
be an irrational number. If their sum were rational, say
, then we'd have
but is the difference between two rational numbers, and thus a rational number. But it also equals
, which is irrational by hypothesis. Since we have a contradiction, we conclude that the sum of a rational and an irrational can't be rational.
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Given :
Emily sells erasers for $2 per package and pencils for $5 per package. she sells 220 total packages and earns $695.
To Find :
The number of packages of erasers and pencils that were sold .
Solution :
Let, number of erasers are x and pencils are y.
So, x + y = 220 ....1
Also, 2x + 5y = 695 ....2
Solving equation 1 and 2, we get :
x = 220 - 85 = 135
Therefore, the number of packages of erasers and pencils that were sold are 135 and 85 respectively.
Hence, this is the required solution.