Used 1/3 yard of ribbon to tie a package and 1/6 yard of ribbon to tie a bow how many yards of ribbon did jamal use

The total amount of yard Jamal used is 1/2 yard              

To determine the overall amount of yards of ribbon that Jamal used, the amount of yard he used to tie a package and the amount he used to tie a bow will be added; the derived value is the total amount of yard he used.

Therefore,

= 1/3 + 1/6

= (2+1)/6

= 3/6

= 1/2 yard (Further broken down to this)

The above values are fractions. A fraction is a number that has a part of a whole. It always has a numerator and denominator. Numerators are number values that are always on top, while denominators are number values that are always at the bottom

To derive the final answer (1/2), both denominators (3 and 6) Lowest Common Denominator was factored out which is (6), and is used to divide both denominators, then multiplied by the numerators. The derived values were added to get another fraction which was finally broken down to arrive at the final answer.

Significantly, the order of operations i.e. BODMAS was made use of. BODMAS is an acronym of Bracket, Of, Division, Multiplication, Addition, Subtraction.

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starting with:    

5 + x - 12 = 2x - 7   

5 + x - 12 - x = 2x - 7 - x (subtract x from both sides)   

5 - 12 = x - 7 (combine and cancel x's from both sides)   

5 - 12 + 7 = x - 7 + 7 (add 7 to both sides)   

0 = x (add numbers together on both sides)       

so in order for the equation to be true, x must be 0.   

trying x = -0.5   

5 + x - 12 = 2x - 7 (original equation)   

5 + -0.5 - 12 = 2(-0.5) - 7 (plug in value of x)   

5 + -0.5 - 12 = -1 - 7 (did multiplication)   

-7.5 = -8 (did addition on both sides)       

since -7.5 is obviously not equal to -8, the value of -0.5 for x is wrong.   

trying x = 0   

5 + x - 12 = 2x - 7 (original equation)   

5 + 0 - 12 = 2(0) - 7 (plug in value of x)   

5 + 0 - 12 = 0 - 7 (did multiplication)   

-7 = -7 (did addition on both sides)       

since -7 equals -7, that demonstrates that the value of 0 for x is correct.   

trying x = 1   

5 + x - 12 = 2x - 7 (original equation)   

5 + 1 - 12 = 2(1) - 7 (plug in value of x)   

5 + 1 - 12 = 2 - 7 (did multiplication)   

-6 = -5 (did addition on both sides)       

since -6 is obviously not equal to -5, the value of 1 for x is wrong.

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step-by-step explanation: