In here, we could write an equality as x – 12 < 65. In solving inequalities, we follow the same rule as solving algebraic expressions. We will transpose 12 to the other side, giving us x < 65 + 12. Simplifying, we have x < 77. Geraldo must have a bill less than $77 in order for him not to spend more than $65.
Answer:
If a system of linear equations has no solution,then it is said to be inconsistent.The graphs of the lines do not intersect,and therefore the graphs are parallel and there is no solution.
Step-by-step explanation:
If a system of linear equations has no solution,then it is said to be inconsistent.The graphs of the lines do not intersect,and therefore the graphs are parallel and there is no solution.
Answer: 10 cups of sugar
Step-by-step explanation:
Cups of sugar : Cups of flour
2 : 3
? : 15
Cross multiply
3? = 15 × 2
3? = 30
Divide both sides by 3
? = 10
He needs 10 cups of sugar.
Answer:
the principal and the amount is 1,800 and 13,800 respectively
Step-by-step explanation:
The computation of the simple interest and amount for the end of the 3rd year is shown below:
Simple interest is
= Principal × rate of interest × time period
= 12,000 × 5% × 3 years
= 1,800
Now the amount is
= 12,000 + 1,800
= 13,800
hence, the principal and the amount is 1,800 and 13,800 respectively