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emmasim [6.3K]
3 years ago
9

If x varies inversley as y and x=4 when y =8, find x when y=1

Mathematics
1 answer:
nikitadnepr [17]3 years ago
4 0

Answer:

x = 32

Step-by-step explanation:

If x and y vary inversely, then xy = k where k is the constant of proportion

4(8) = 32 = k

Now, xy = 32

         1(x) = 32

           x = 32

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ArbitrLikvidat [17]

<u>Answer:</u>

• Equation = 2(\frac{7}{4}w  + w) = 176

• length = 56 ft

• width = 32 ft

<u>Step-by-step explanation:</u>

The ratio of the length to width is 7:4.

∴ \frac{l}{w} = \frac{7}{4}

⇒ l = \frac{7}{4} w                 [Equation 1]

We know that the perimeter of the garden is 176 feet.

∴ 2(l + w) = 176

⇒ 2(\frac{7}{4}w  + w) = 176

⇒ \frac{7}{4} w + w = 88        [From Equation 1]

⇒ \frac{7 w + 4w}{4}  = 88

⇒ \frac{11w}{4} = 88

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⇒ w = \bf 32 \space\ ft

We know from Equation 1 that:

l = \frac{7}{4} w

∴ l = \frac{7}{4} (32)

⇒ l = \bf 56 \space\ ft

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