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3 years ago

Three times a number, X, increased by four is equal to five times the number, x. Which equation can be used to solve for x

Mathematics

1 answer:

WITCHER [35]3 years ago

4 0

Answer:

Step-by-step explanation:

Three times a number x : 3x

Three times a number x increase by 4: 3x +4

Five times the number x: 5x

5x = 3x +4

Subtract 3x from both the sides.

5x - 3x = 3x +4 - 3x

2x = 4

Divide both sides by 2

2x/2 = 4/2

x=2

The number is 2

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A number, n, is added to 15 less than 3 times itself. The result is 101. Which equation can be used to find the value

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I believe it’s the last one, but I could be wrong.. The n three times= 3n+15 (less than itself)-n ??

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When 4 times the number x is added to 12, the result is 8. What number results when 2 times x is added to 7 ?

Bumek [7]

<h2>Given :-</h2>

$\bf4 \: times \: a \: number \: x \: is \: added \: to \: 12 \\ \bf the \: result \: is \: 8$ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎
$\bf⟹ \: 4x + 12 = 8$

$\large\bf{\underline{We\:have\:to\:find:-}}$

$\bf\:The \: number \: results \: when \: 2 \: times \: x \\ \bf is \: added \: to \: 7$
$\bf ⟹\: 2x + 7 = ?$

$\large\bf{\underline{To \:find\:the\:value\:of\:x}}$

‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎ $⟹4x + 12 = 8$

‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎ $⟹4x = 8 - 12$

‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎ $⟹4x = - 4$

‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎ $⟹x = \frac{ - 4}{4}$

‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎ $⟹x = - 1$

$\large\bf{\underline{Putting\:the\:value\:of\:x\:in\:2x+7}}$

‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎ $=2x + 7$

‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎ $=2( - 1) + 7$

‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎ $= - 2 + 7$

‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎ $= 5$

__________________________________________

$\large\bf{\underline{Hence}}$

$\huge{2x + 7}$

$\huge{=5}$

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liraira [26]

Answer:

Step-by-step explanation:

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Is this proportion true 12/15=47/50 16/36=12/27 15/20=24/26 or 4/16=2/14

jekas [21]

For 12/15=47/50, we multiply 12/15 by (1/3)/(1/3) to get 4/5. For 47/50, we multiply it by (1/10)/(1/10) to get the same denominator and 4/7/5. They are not equal.

For 16/36 and 12/27, we'll notice that 36 and 27 are both multiples of 9, so we need to get that as the denominator! Multiply 16/36 by (1/4)/(1/4) because 9 goes into 36 4 times and 12/27 by (1/3)/(1/3) due to that 27 goes into 9 3 times, we get 4/9=4/9 - these are equal!

I challenge you to get the rest of them on your own using my techniques!

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3 years ago