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vodka [1.7K]
3 years ago
8

If y is 2.5 when x is 5 and i varies directly with x, find y when x is 14 ?

Mathematics
2 answers:
Anestetic [448]3 years ago
8 0

ANSWER

y = 7

EXPLANATION

If y varies directly with x, we write the mathematical statement;

y \propto \: x

When we introduce the constant of proportionality k, then we write the equation,

y = kx

If y is 2.5 when x is 5,then we have;

2.5 = 5k

k =  \frac{2.5}{5}

k = 0.5

The equation of variation then becomes;

y = 0.5x

when x=14,

y = 0.5(14)

y = 7

sergij07 [2.7K]3 years ago
4 0

Answer:

The correct answer is, y = 7

Step-by-step explanation:

It is given that,If y is 2.5 when x is 5 and i varies directly with x

<u>To find the relationship between x and y</u>

From the given data, we can write,

x = 5 the y = 2.5

2.5 = 5/2

Therefore y = x/2

<u>To find the value of y</u>

x = 14

y = x/2 = 14/2 = 7

Therefore the correct answer is, y = 7

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=

−

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1

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=

−

(

−

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7 0
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Read 2 more answers
the sum of three number number in an artithmetic product is 21. if second number isreduced by 1 and third term is increased by 1
grin007 [14]

The three numbers will be 12, 7, 2 and 3, 7, 11.

<h3>What is a sequence?</h3>

A sequence is a list of elements that have been ordered in a sequential manner, such that members come either before or after.

Let the three consecutive numbers be a, a + d, and a + 2d

The sum of three numbers which are consecutive terms of an A.P. is 21.

a + a + d + a + 2d = 21

3(a + d) = 21

a = 7 - d

If the second number is reduced by 1 and the third term is increased by 1 we obtain the geometric product.

Then the number will be a, a + d − 1, a + 2d + 1. Then we have

\rm \dfrac{a + d - 1}{a} = \dfrac{a + 2d + 1}{a + d - 1}

On simplifying, we have

36 = a (8 + d)

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On factorizing, the value of a will be

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a = 3, 12

If a = 12, then the value of d will be

d = 7 - 12

d = -5

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Then the three numbers will be 12, 7, 2 and 3, 7, 11.

More about the sequence link is given below.

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