Youssef is taking a trip on an airplane. He knows that to avoid extra fees his suitcase must weigh under 50 pounds. The suitcase with his clothes weighs 35 pounds. He has room, so he also decides to pack some books for his trip. Each book weighs on average 1.2 pounds. How many books could he bring on the trip? He writes the inequality 1.2b+35<50, where b equals the number of books, to help figure this out. Solve his inequality. Use the letter b as your variable and write your b term first. Try your best
The inequality is 1.2b + 35 < 50.
Subtracting 35 from both sides, we get:
1.2b < 15.
Dividing both sides by 1.2, we get:
b < 12.5.
Since you cannot have a fraction of a book, Youssef can bring a maximum of 12 books on the trip.
Marjam has a goal of taking at least 10,000 steps today. According to her pedometer, she got 2,500 steps in the morning. There are 10 hours left in the day. How many steps will she need to get each hour (assume she walks the same number of steps each hour) for the rest of the day to meet her goal? what would a number line look like if it were according to this problem?
To find out how many steps Marjam needs to take each hour for the rest of the day to meet her goal of 10,000 steps, we can use division.
First, we need to determine how many steps she has left to reach her goal. Subtracting the 2,500 steps she already took from her target of 10,000 steps, we find that she has 7,500 steps left.
Since there are 10 hours left in the day, we can divide the remaining steps by the number of hours:
7,500 steps ÷ 10 hours = 750 steps per hour.
Therefore, Marjam will need to walk 750 steps per hour for the rest of the day to meet her goal.
A number line representing this problem could look like this:
0 2500 3750 4500 5250 6000 6750 7500 8250 9000 9750 10000
|-------|-------|-------|-------|-------|-------|-------|-------|-------|-------|-------|
on an inequality number line, would the circle be open or closed?
On an inequality number line, a circle would be represented as either open or closed, depending on the inequality symbol being used.
If the inequality symbol is "<" or ">", indicating strict inequality (less than or greater than), the circle would be open. For example, if the inequality is "x < 5," the circle representing 5 on the number line would be open.
If the inequality symbol is "<=" or ">=", indicating inclusive inequality (less than or equal to or greater than or equal to), the circle would be closed. For example, if the inequality is "x <= 5," the circle representing 5 on the number line would be closed.