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Paha777 [63]
2 years ago
15

Y varies directly with x. If y=25 when x=5, find y when x =-4y =​

Mathematics
1 answer:
alina1380 [7]2 years ago
7 0

Answer:

y = -20

Step-by-step explanation:

Given that y varies directly with x it means changing x will also cause change in y

Mathematically it can be written as:

y∝x

Removing the proportionality symbol

y = kx

Given y=25 when x=5 Putting the values

25 = k(5)\\k = \frac{25}{5}\\k = 5

Now

y = 5x

We have to find the value of y when x = -4

Putting x=-4

y = 5(-4)\\y = -20

Hence,,

y = -20

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Answer:

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Step-by-step explanation:

Given expression :

\frac{-60}{5}

Choices given :

A) \frac{60}{-5}

B) 60\times \frac{1}{5}

C)  60\times (-\frac{1}{5})

D) -60\times (-\frac{1}{5})

To find the equivalent expression.

We will first evaluate the given expression.

\frac{-60}{5}

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A) \frac{60}{-5}

⇒ -12    [Quotient of a positive dividend and a negative divisor is always negative]

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⇒ \frac{60}{5}

⇒ 12

C)  60\times (-\frac{1}{5})

⇒ -\frac{60}{5}   [Product of a positive and a negative is always a negative]

⇒ -12

D) -60\times (-\frac{1}{5})

⇒ \frac{60}{5}   [Product of two negatives is always a positive]

⇒ 12

∴ We see that the choices A and C are equivalent.

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