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2 answers:
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The correct answer is: [C]: " two-thirds <span>" .
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" x = "
" ; which is: " two-thirds " .
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Explanation:
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Given: "
" ; Solve for "x" ;
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First, multiply the first fraction by "
" ;
{ since: " = 1" ; and since any value, multiplied by "1" results in that exact same value. By multiplying the first fraction by: "" , we can get the "denominator" in the first fraction equal to the "denominator" of the second fraction.
→
" .
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Note the "distributive property of multiplication" :
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a(b + c) = ab + ac ;
a(b – c) = ab – ac .
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As such, take the "numerator" ; which is:
" 2(6x + 1) " ; and expand:
→ = (2*6x) + (2*1) = " 12x + 2 " ;
Now, we can rewrite the entire expression:
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"
" ; and we can rewrite the entire equation:
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→ " = \frac{18x-2}{14} [/tex] " ;
Let us simplify this: " 12x + 2 = 18x – 2 " ; Solve for "x" ;
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→ 18x – 2 = 12x + 2 ;
→ Subtract "12x" from each side of the equation; and subtract "2" from each side of the equation:
→ 18x – 2 – 12x – 2 = 12x + 2 – 12x – 2 ;
to get:
→ 6x – 4 = 0 ;
Add "4" to each side of the equation:
→ 6x – 4 + 4 = 0 + 4 ;
to get:
→ 6x = 4 ;
Divide each side of the equation by "6" ;
to isolate "x" on one side of the equation; & to solve for "x" ;
→ 6x / 6 = 4 / 6 ;
→ x = 4/6 ; → "4/6" = "(4÷2)/(6÷2)" = "2/3" .
→ x = 2/3 ; → x = " " ; which is "two-thirds" ;
→ which is: Answer choice: [C]: "<span> two-thirds</span><span>" .
</span>__________________________________________________________
</span>____________________________________________________
" x = "
____________________________________________________
Explanation:
____________________________________________________
Given: "
____________________________________________________
First, multiply the first fraction by "
{ since: "
→
___________________________________________________________
Note the "distributive property of multiplication" :
_______________________________________________________
a(b + c) = ab + ac ;
a(b – c) = ab – ac .
_______________________________________________________
As such, take the "numerator" ; which is:
" 2(6x + 1) " ; and expand:
→ = (2*6x) + (2*1) = " 12x + 2 " ;
Now, we can rewrite the entire expression:
________________________________________
"
________________________________________
→ "
Let us simplify this: " 12x + 2 = 18x – 2 " ; Solve for "x" ;
_____________________________________________________
→ 18x – 2 = 12x + 2 ;
→ Subtract "12x" from each side of the equation; and subtract "2" from each side of the equation:
→ 18x – 2 – 12x – 2 = 12x + 2 – 12x – 2 ;
to get:
→ 6x – 4 = 0 ;
Add "4" to each side of the equation:
→ 6x – 4 + 4 = 0 + 4 ;
to get:
→ 6x = 4 ;
Divide each side of the equation by "6" ;
to isolate "x" on one side of the equation; & to solve for "x" ;
→ 6x / 6 = 4 / 6 ;
→ x = 4/6 ; → "4/6" = "(4÷2)/(6÷2)" = "2/3" .
→ x = 2/3 ; → x = "
→ which is: Answer choice: [C]: "<span> two-thirds</span><span>" .
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Answer:
Option C is correct.
Step-by-step explanation:
Given the dimension of the surfaces i.e length, width and height of podium. we have to calculate the surface area of the victory podium.
As Surface area of cuboid is 2(LW+WH+HL)
In the given figure, the upper cuboid has dimension
L=2.5 ft. , W=1.5 ft, H=1.5 ft
The upper face is occuring twice therefore it must be subtracted to find the area
Dimensions of lower podium are
L=7.5 ft. , W=1.5 ft, H=1.5 ft
Now, Surface area of podium included bottom is
19.5+49.5-3.75=65.25 square feet.
Hence, option C is correct.