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defon
3 years ago
7

Reduce ratio 49:21 to lowest form

Mathematics
2 answers:
mafiozo [28]3 years ago
7 0

\bf 49:21\implies \cfrac{49}{21}\implies \cfrac{7\cdot 7}{3\cdot 7}\implies \cfrac{7}{3}\cdot \cfrac{7}{7}\implies \cfrac{7}{3}\cdot 1\implies \cfrac{7}{3}\implies 7:3

Strike441 [17]3 years ago
7 0

7 over 3 . Because you find the LCD for both numbers which is 7 and what you do to the top you do to the bottom . 49 divided by 7 is 7 and 21 divided by 7 is 3 and you cant simplify that any lower so the answer is 7 over 3

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The length of a 200 square foot rectangular vegetable garden is 4feet less than twice the width. Find the length and width of th
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Answer:

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Width = 11.049 ft

Step-by-step explanation:

let the length of the field be x ft

and the width be y ft

as per the condition given in problem

x=2y-4   -----------(A)

Also the area is given as 200 sqft

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taking 2 as GCF out

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subtracting 100 from both sides

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Now we solve the above equation with the help of Quadratic formula which is given in the image attached with this for any equation in form

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Here in our case

a=1

b=-1

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Putting those values in the formula and solving them for y

y=\frac{-(-2)+\sqrt{(-2)^2-4 \times (-1) \times 100}}{2 \time 1}

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y=\frac{2+\sqrt{4+400}{2}

y=\frac{2+\sqrt{404}{2}

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y=\frac{2-\sqrt{4+400}{2}

y=\frac{2-\sqrt{404}{2}

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y=11.099

Hence the length will be

x=2y-4

x=2(11.049)-4

x=22.099-4

x=18.099

Hence our length x and width y :

Length = 18.099 ft

Width = 11.049 ft

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