The least number of boxes Sharon should buy is 5 boxes.
Step-by-step explanation:
Given,
Number of cards in box = 12
Number of stamps in packages = 20
We will find least common multiple of 12 and 20.
12 = 12,24,36,48,60,.....
20 = 20,40,60,80,....
The LCM of 12 and 20 is 60.
Now,
12 cards = 1 box
60 cards = 
60 cards = 5 boxes
The least number of boxes Sharon should buy is 5 boxes.
Answer:
The solution of |3x-9|≤15 is [-2;8] and the solution |2x-3|≥5 of is (-∞,2] ∪ [8,∞)
Step-by-step explanation:
When solving absolute value inequalities, there are two cases to consider.
Case 1: The expression within the absolute value symbols is positive.
Case 2: The expression within the absolute value symbols is negative.
The solution is the intersection of the solutions of these two cases.
In other words, for any real numbers a and b,
- if |a|> b then a>b or a<-b
- if |a|< b then a<b or a>-b
So, being |3x-9|≤15
Solving: 3x-9 ≤ 15
3x ≤15 + 9
3x ≤24
x ≤24÷3
x≤8
or 3x-9 ≥ -15
3x ≥-15 +9
3x ≥-6
x ≥ (-6)÷3
x ≥ -2
The solution is made up of all the intervals that make the inequality true. Expressing the solution as an interval: [-2;8]
So, being |2x-3|≥5
Solving: 2x-3 ≥ 5
2x ≥ 5 + 3
2x ≥8
x ≥8÷2
x≥8
or 2x-3 ≤ -5
2x ≤-5 +3
2x ≤-2
x ≤ (-2)÷2
x ≤ -2
Expressing the solution as an interval: (-∞,2] ∪ [8,∞)
The answer is 2.5 kilograms. One kilogram is 1000 grams.
Hope this helps and hope you have a great day
12 inches = 1 foot
144 square inches = 1 square foot
1250 square inches = 1250/144 = 8.68 square feet
