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2 years ago

P varies inversely with x. If P = 14 when x= 16, find the value of P when x = 21.

Mathematics

1 answer:

Oliga [24]2 years ago

7 0

Answer:

Option C. 32/3

Step-by-step explanation:

we know that

A relationship between two variables, x, and y, represent an inverse variation if it can be expressed in the form $p*x=k$ or $p=k/x$

we know that

For p=14, x=16

Find the value of k

$k=p*x$

substitute the values

$k=(14)*(16)=224$

The equation is equal to

$p=\frac{224}{x}$

Find the value of p when x=21

substitute the value of x in the equation

$p=\frac{224}{21}$

simplify

Divide by 7 both numerator and denominator

$p=\frac{32}{3}$

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Gemiola [76]

a) The solution for the equation 2x + 16 = 5x + 4 is x=4.

b) The solution for the equation 3x − 5 = 2x + 14 is x=19.

c) The solution for the equation 5x − 5 = x + 15 is x=5.

Step-by-step explanation:

a) The given equation is 2x + 16 = 5x + 4

From the above equation, it can be found that the equation consists of x terms and constant terms.
Therefore, bring all the x terms on one side and the constant terms on other side of the equation.
This gives the simplified form of the equation to solve for x value.

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⇒ 12 = 3x

⇒ x = 12/3

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The solution for the given equation is x=4.

To check, substitute x=4 in the equation :

2(4) + 16 = 5(4) + 4

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Therefore, the solution x=4 satisfies the equation 2x + 16 = 5x + 4

Similarly,

b) The given equation is 3x − 5 = 2x + 14

⇒ 3x-2x = 14+5

⇒ x = 19

The solution for the given equation is x=19.

To check, substitute x=19 in the equation :

3(19) - 5 = 2(19) + 14

57-16 = 38+14

52 = 52

Therefore, the solution x=19 satisfies the equation 3x − 5 = 2x + 14

Similarly,

c) The given equation is 5x − 5 = x + 15

⇒ 5x-x = 15+5

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The solution for the given equation is x=5.

To check, substitute x=5 in the equation :

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20 = 20

Therefore, the solution x=5 satisfies the equation 5x − 5 = x + 15

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Answer: Write the expression as:

" 70 $\frac{32}{100}$ +
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______________________________________________________
or; write as:
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______________________________________________________

To simplify:
______________________________________________________

Using "PEDMAS" (the "order of operations") ;

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And rewrite:
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" 70.32 + 5.67 − 18a " .

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