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3 years ago

If six times a number is decreased by fourteen, the result is 124. What is the number

Mathematics

2 answers:

zlopas [31]3 years ago

5 0

Answer:

138

Step-by-step explanation

6x-14=124

6x=124+14

x=138/6 138/6=23

X=23

denis23 [38]3 years ago

3 0

Answer:

$\large\boxed{23}$

Step-by-step explanation:

Six times a number is decreased by fourteen, the result is 124.

Write an equation that represents this

(6 * x) - 14 = 124

Multiply 6 by x to remove the parenthesis

6x - 14 = 124

Add 14 to both sides of the equation

6x = 138

Divide both sides of the equation by 6

x = 23

The unknown number is $\large\boxed{23}$

Hope this helps :)

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Answer

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Explanation

Area of the rectangle given = 50 ft²

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So this means the length of the rectangle will be 3x - 5

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Step-by-step solution:

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The quadratic equation can now be solve using factorization method:

$\begin{gathered} 3x^2-5x-50=0 \\ 3x^2-15x+10x-50=0 \\ 3x(x-5)+10(x-5)=0 \\ (3x+10)(x-5)=0 \\ 3x+10=0\text{ }or\text{ }x-5=0 \\ 3x=-10\text{ }or\text{ }x=5 \\ x=-\frac{10}{3}\text{ }or\text{ }x=5 \end{gathered}$

Since the dimension can not be negative, hence the value of x will be = 5.

Therefore, the dimensions of the rectangle will be:

$\begin{gathered} Length=3x-5=3(5)-5=15-5=10\text{ }ft \\ \\ Width=x=5\text{ }ft \end{gathered}$

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elena-s [515]

Answer:

Step-by-step explanation:

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