4x - 15 > 49
The possible values of the number are x > 16.
The possible values of the number are x > 16.
Let's use the variable x to represent the number. We can write the equation as:
4x - 15 > 49
Now, let's solve this equation to find all possible values of x.
Add 15 to both sides of the equation:
4x - 15 + 15 > 49 + 15
4x > 64
Divide both sides of the equation by 4:
4x/4 > 64/4
x > 16
So, all the possible values of the number (x) are greater than 16. We can represent this mathematically as an inequality:
x > 16
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.
Subtract 35 from both sides of the inequality:
1.2b + 35 - 35 < 50 - 35
1.2b < 15
To get rid of the coefficient 1.2, divide both sides of the inequality by 1.2:
(1.2b)/1.2 < 15/1.2
b < 12.5
Therefore, Youssef could bring a maximum of 12 books on the trip, as the number of books (b) must be less than 12.5.
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? Solve this problem. Which graph most clearly communicates the solution? (1 point)
Steps needed for the rest of the day = (Step goal - Steps taken) / Hours left
Steps needed for the rest of the day = (10,000 - 2,500) / 10
Steps needed for the rest of the day = 7,500 / 10
Steps needed for the rest of the day = 750
So, Marjam will need to get 750 steps each hour for the remaining 10 hours to meet her goal.
The graph that would most clearly communicate this solution would be a bar graph or a line graph showing the number of steps Marjam needs to take each hour for the remaining 10 hours.