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yarga [219]
3 years ago
10

Find the lesser of the two consecutive integers with a sum greater than 16

Mathematics
1 answer:
g100num [7]3 years ago
4 0

Let n be an integer number, the next integer number is n+1. These numbers n and n+1 are two consecutive integers.

Their sum is n+n+1=2n+1 and is greater than 16, thus

2n+1>16.

Solve this inequality:

2n>16-1,

2n>15,

n>7.5.

Since n is integer, then the smallest integer that sutisfies this inequality is 8 and the next n+1=8+1=9.

Answer: the lesser of two consecutive integers is 8.

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Gary ordered 30 pizzas for a party. 60% of the pizzas have 12 slices each. The remaining 40% of the pizzas have 10 slices each.
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rancher wants to fence in an area of 2000000 square feet in a rectangular field and then divide it in half with a fence down the
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  • 7000ft

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Using above values to find different combinations of length(l) and breadth (b) of rectangle and corresponding parameter of rectangle

  • l=5,   b=400,000  ,parameter= 2(5) + 2(400,000)= 800,010, total length of fence required= parameter+ side with shortest length= 800,015
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  • l=4,  b= 500,000 parameter= 1,000,008, shortest fence required= 1,000,012
  • From above, we can see a trend that the parameter of rectangle decreases if length and breadth are increased provided that area is constant. So, a rectangle will have shortest parameter if all of its sides are equal.
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