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soldier1979 [14.2K]
3 years ago
7

Find the value of x in the following equation: x⁄2 + 2x⁄5 = 18.

Mathematics
2 answers:
butalik [34]3 years ago
8 0

Answer:

x = 20

Step-by-step explanation:

Solve for  x  by simplifying both sides of the equation, then isolating the variable.

monitta3 years ago
4 0

let's take a peek, we have two fractions, let's get the LCD of all fractions, in this case the LCD of 2 and 5, hmmmm that'd be 10.

now, let's multiply both sides by the LCD of 10 to do away with the denominators and proceed.

\bf \cfrac{x}{2}+\cfrac{2x}{5}=18\implies \stackrel{\textit{multiplying both sides by }\stackrel{LCD}{10}}{10\left( \cfrac{x}{2}+\cfrac{2x}{5} \right)=10(18)}\implies 5x+4x=180 \\\\\\ 9x=180\implies x=\cfrac{180}{9}\implies x=20

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Which expression has an irrational answer?
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Solution:

A number is said to be irrational , if the decimal expansion of a number is non terminating non repeating.

For example , 2.01001000100001......., √3,∛5,....

Now coming to Options

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4 as well as 2.5 is rational . So sum of two rational is a rational.

(B) 3 × \frac{1}{3}

Since 3 is rational , but   \frac{1}{3} is irrational. So product of rational and irrational should be irrational.

Because  \frac{1}{3}= 0.333333.......(non terminating non repeating)

But numerator which is 3 and denominator which is 3 cancels out and result is 1 which is rational number.

(C) 2 × (real number=a )raised to power of 7

=2 (a)^7

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Both 1.25 as well as 4.25 are rational. So their sum is rational.

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3 years ago
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ehidna [41]

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