I have 16 numbers: 3,5,10,11,15,20,8,11,9,10,10,12,13,14,
15,10. These numbers have to be arranged in a 4 by 4 (horizontally and vertically) where each row equals 44.
Please Help!
Jumping rope can burn 600 calories per hour. write and solve an inequality to find the number of hours of jumping rope that it would take for you to burn at least 450 Calories
To solve the problem of arranging the given 16 numbers in a 4 by 4 grid where each row equals 44, you can start by organizing the numbers in descending order, which gives:
20, 15, 15, 14,
13, 12, 11, 11,
10, 10, 10, 10,
9, 8, 5, 3.
Next, you can try different combinations of the numbers to achieve a sum of 44 in each row. One possible arrangement is:
20, 15, 7, 2,
9, 3, 11, 11,
10, 10, 10, 10,
5, 5, 3, 2.
This arrangement satisfies the given conditions, where each row sums up to 44. However, please note that there might be other valid arrangements as well.
Regarding the second question about burning calories while jumping rope, you can write an inequality to find the number of hours required to burn at least 450 calories. Let's assume 'x' represents the number of hours of jumping rope.
Since jumping rope burns 600 calories per hour, the inequality can be written as:
600x ≥ 450.
To solve for 'x', divide both sides of the inequality by 600:
x ≥ 450 / 600.
Simplifying further:
x ≥ 0.75.
Therefore, you would need to jump rope for at least 0.75 (or 3/4) of an hour, which equals 45 minutes, to burn at least 450 calories.