If the length of the rectangle is x cm, then the width becomes 10 minus x cm because the total perimeter is 20 cm. Therefore, the area of the rectangle is x multiplied by 10 minus x.
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After 7 months, the plant height becomes 5.25 feet. The relation between height and months is h = 1.75 + 0.5t. It represents linear growth because the height increases by a constant 0.5 feet every month.
The volume of a rectangular box is length multiplied by breadth multiplied by height. The volumes are 385 cubic cm, 693 cubic cm and 1001 cubic cm respectively. The linear pattern representing the volume is 77h.
Bela starts with 100 rupees and spends 5 rupees daily. Let the number of days be x. Then 100 minus 5x equals 40. Solving gives x equal to 12. Therefore, she will have 40 rupees after 12 days.
Let the number of five-rupee coins be x. Then the number of two-rupee coins is 3x. Their total value is 88 rupees. Solving the equation gives x equal to 8. Therefore, Ruby has 24 two-rupee coins and 8 five-rupee coins.