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Evaluate.

[2−∣∣−14−2(−35)∣∣]÷(−6)

What is the value of the expression?

Enter your answer as a simplified fraction in the box.
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starednoob29

Answer:

The solution of the mathematical expressions will be 0.175.

Step-by-step explanation:

Given that;

The mathematical expressions are,

⇒ [ 2 - | - 1/4 - 2 (-3/5) | ] ÷ -6

Now,

Solve the mathematical expression as;

⇒  [ 2 - | - 1/4 - 2 (-3/5) | ] ÷ -6

Using the BODMAS rule to solve the expressions as;

⇒ [ 2 - | - 1/4 - 2 (-3/5) | ] ÷ -6

⇒ [ 2 - | - 1/4 + 6/5 | ÷ -6

⇒ [ 2 - 19/20 ] ÷ -6

⇒  [ 21/20] ÷ -6

⇒ 21/20 x 1/-6

⇒ - 7 / 40

Therefore,

The solution of the mathematical expressions will be 0.175.

But you didn't have to cut me off

Make out like it never happened and that we were nothing (aah-ooh)

And I don't even need your love (ooh)

But you treat me like a stranger, and that feels so rough (aah)

No, you didn't have to stoop so low (ooh)

Have your friends collect your records and then change your number (aah)

I guess that I don't need that, though

Now you're just somebody that I used to know

semsee45

Answer:

[tex]-\dfrac{7}{40}[/tex]

Step-by-step explanation:

Given expression:

[tex]\left[2-\left|-\dfrac{1}{4}-2\left(-\dfrac{3}{5}\right)\right|\right] \div (-6)[/tex]

Carry out the operations inside the absolute value bars (following the order of operations):

[tex]\implies \left[2-\left|-\dfrac{1}{4}+\dfrac{6}{5}\right|\right] \div (-6)[/tex]

[tex]\implies \left[2-\left|\dfrac{19}{20}\right|\right] \div (-6)[/tex]

As the fraction inside the absolute value bars is already positive, we can simply remove the bars:

[tex]\implies \left[2-\dfrac{19}{20}\right] \div (-6)[/tex]

Rewrite 2 as 40/20 and carry out the subtraction inside the square brackets:

[tex]\implies \left[\dfrac{40}{20}-\dfrac{19}{20}\right] \div (-6)[/tex]

[tex]\implies \left[\dfrac{40-19}{20}\right] \div (-6)[/tex]

[tex]\implies \left[\dfrac{21}{20}\right] \div (-6)[/tex]

Rewrite -6 as a fraction:

[tex]\implies \dfrac{21}{20} \div -\dfrac{6}{1}[/tex]

When dividing fractions, multiply the first fraction by the reciprocal of the  second fraction:

[tex]\implies \dfrac{21}{20} \times-\dfrac{1}{6}[/tex]

[tex]\implies \dfrac{21 \times (-1)}{20 \times 6}[/tex]

[tex]\implies -\dfrac{21}{120}[/tex]

Reduce the fraction to its simplest form by dividing the numerator and denominator by the highest common factor, 3:

[tex]\implies -\dfrac{21 \div 3}{120 \div 3}[/tex]

[tex]\implies -\dfrac{7}{40}[/tex]

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