Answer:
(1) option is correct .
Step-by-step explanation:



which is the equation in the question.
Answer:
-83, -85
Step-by-step explanation:
Answer:
No, the two sets are not disjoint.
Step-by-step explanation:
Set of triangular numbers to 50: 1, 3, 6, 10, 15, 21, 28, 36, 45
Set of square numbers to 50: 1, 4, 9, 16, 25, 36, 49
They have 1 and 36 in common, so they are not disjoint, or in other words, they have some of the same numbers.
Given:
Claire is 2 year younger than her sister.
The sum of ages is no less than 44 years.
To find:
Inequality and find the youngest age Claire can be.
Solution:
Let the age of Claire be x.
Her sister's age = x+2
Sum of their ages is no less than 44 years. It means the sum ages is greater than or equal to 44.




Divide both sides by 2.

It means, Claire age can be greater than or equal to 21. So, the youngest age Claire can be 21 years old.
Therefore, the required inequality is
and the correct option is B.
price after discount- $44-$11=$33
amount of tip- $4.95
bill after discount and tip- $37.95
amount of tax- $2.83
total bill- $40.78