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Ket [755]
3 years ago
9

The ratio of apples to bananas is 1 to 3. The ratio of peaches to bananas is 3 to 2. What is the ratio of apples to peaches?

Mathematics
1 answer:
Ksivusya [100]3 years ago
3 0

Answer:

The ratio of apples to peaches is 2 to 9.

Step-by-step explanation:

For every 1 apple, there are 3 bananas.

For every 3 peaches, there are 2 bananas.

To compare apples to peaches, we need to make the bananas in each of the proportions equal.

(1 apple = 3 bananas ) x 2    --> 2 apples= 6 bananas

(3 peaches = 2 bananas) x 3 --> 9 peaches= 6 bananas

Now that the bananas are equal and the other fruits are proportionate to the number of bananas, we can see that for every 2 apples there are 9 peaches.

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You have $7000 with which to build a rectangular enclosure with fencing. The fencing material costs $30 per meter. You also want
Arlecino [84]

Answer:

1857.12 square meters

Step-by-step explanation:

Let L be the length of the rectangle and 'W' be the width

Perimeter = 2L + 2W + 2W

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The material for the partitions costs $25 per meter

cost=30(2L + 2W) +25( 2W)\\60L+60W+50W\\60L +110W

7000=60L+110W

Solve for L

7000=60L+110W\\7000-110W= 60L\\L=\frac{700}{6} -\frac{11}{6} W

Area = length times width

( \frac{700}{6} -\frac{11}{6} W)(W)\\A(W)=\frac{700}{6}W -\frac{11}{6} W^2

Now take derivative and set it =0

A(W)=\frac{700}{6}W -\frac{11}{6} W^2\\A'(W)=\frac{700}{6} -\frac{22}{6} W

set the derivative =0  and solve for W

0=\frac{700}{6} -\frac{22}{6} W\\\frac{700}{6}=\frac{22}{6} W\\W= 31.8

So width = 31.8 that gives maximum area

L=\frac{700}{6} -\frac{11}{6} (31.8)=58.4

Area = length  \cdot width = 31.8 \cdot 58.4= 1857.12 square meter

4 0
3 years ago
Lurinda ordered some boxes of greating cards online the cost of the cards is $6.50n + $3 where n is the number of boxes orderd a
Neporo4naja [7]

Answer:

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Step-by-step explanation:

For this question you would have to multiply

6.50*8 which equals $52

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What is the best method to geometrically show the addition of complex numbers?
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Multiplying a complex number by a real number

Explanation:

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2 years ago
If 1/2 of all the books at a bookstore are fiction and 3/5 of the books in fiction
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Answer:

\frac{3}{10}

Step-by-step explanation:

we know that

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