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user100 [1]
3 years ago
15

mrs lemke has 10 2/3 ounces of fertilizer for her plants. She plans to use 3/4 ounce of fertilizer om each plant. After she put

fertilizer on as many plants as she can, how much fertilizer will be left over
Mathematics
1 answer:
pentagon [3]3 years ago
4 0
What we know:
Mrs Lemke has a total of 10 2/3 oz of fertilizer
3/4 oz fertilizer per plant

What we need to find is left over fertilizer after equally distributing as much 3/4 oz of fertilizer per plant.

10 2/3 oz must be divided into groups of 3/4 oz
Those groups will show how many plants can be fertilized with each receiving 3/4 oz of fertilizer and the remainder will be the left over fertilizer in ounces we need to find.

First we must change 10 2/3 into an improper fraction of 32/3.
Now, we divide 32/3 by 3/4.
(32/3)/(3/4)=(32/3)x(4/3)
(32x4)/(3x3)=128/9

128/9 equals to 14 with a remainder of 2/9
That means Mrs Lemke can fertilize 14 plants with 3/4 oz of fertilizer each and have left over of 2/9 ounces.
Your answer is the remainder which is 2/9 ounces.
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Answer:

The answer to your question is:    83 + 6\sqrt{35}

Step-by-step explanation:

This is a square of a binomial.

                                  (2\sqrt{5} + 3\sqrt{7} )^{2}

1.- Square of the first term

                               ( 2\sqrt{5} )^{2} = 4(5) = 20

2.- Twice the product of the two terms

               (2)(2\sqrt{5} )(3\sqrt{7} ) = 6\sqrt{35}

3.- Square of the second term

                              (3\sqrt{7)})^{2} = 9(7) = 63

4.- Write the solution

                           20 + 6\sqrt{35} + 63

                            83 + 6\sqrt{35}

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