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gtnhenbr [62]
4 years ago
7

Art is remodeling his living room. It measures 22 feet by 16 feet, and the contractor is charging $32 per square foot. How much

is the cost estimate?
A) 5,662
B) 11,264
C) 384
D) 12,842
Mathematics
1 answer:
cestrela7 [59]4 years ago
4 0
First, we determine the area of the floor by multiplying the dimensions given. 
                                  Area = Length x Width
                                  Area = (22 ft)(16 ft)
Area is equal 352 m². Then, multiply the calculated area by the surface amount.
                          Total amount = (352 m²)($32)
                                                  = 11,264
Thus, the answer is letter B. 
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10x + 3 = 6x + 5

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Start by expanding with the distributive property, then simplify by collecting like terms.

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Some linear systems might have no solutions (when the lines are parallel) or infinite solutions (when the lines are equivalent, the same).

To find the solution, continue with the equation and isolate "x". This will give you the x-coordinate of the point of intersection.

To isolate 'x', move everything to the other side of 'x'. To move something, you do its reverse operation to both sides in reverse BEDMAS order.

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4x + 3 - 3 = 5 - 3      Subtract 3 on both sides. "3" on the left will cancel out

4x = 2      The right side was simplified (5 - 3 = 2).

4x/4 = 2/4      Divide both sides by 4 to isolate 'x'. Simplify right side.

x = 1/2          Solution's x-coordinate

Substitute what you found for 'x' into any equation that has 'y' (either <u>y=10x+3 or y=6x+5</u>). I will choose the first equation.

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y = 10(1/2) + 3        Multiply 1/2 and 10

y = 5 + 3       Add

y = 8          Solution's y-coordinate

Therefore the solution is when x=1/2 and y=8, or as an ordered pair, (1/2 , 8).

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