One of your employees is bidding on a carpet installation job. They estimate that it will take 3 hours to install 12 square yard
2 answers:
Answer:
No, the bid is not correct.
Step-by-step explanation:
One of your employees is bidding on a carpet installation job.
They estimate that it will take 3 hours to install 12 square yards of carpeting.
we know that 1 square yard= 9 square foot.
12 square yard= 12×9 square foot=108 square foot
i.e. it takes 3 hours to carpet 108 square foot.
Hence time taken to carpet 1 square foot= hour
Now the dimension of room is:
11' 6"× 12' 9" i.e. we convert both the units to foot as:
1 foot= 12 inch
11'6"=11+(6/12)=11.5 foot.
and 12'9"=12+(9/12)=12.75 foot.
Hence, dimension of room=11.5 foot×12.75 foot
Hence area of room=11.5×12.75=146.625 square foot.
Time to carpet 146.625 square foot=
hour
=4.0729 hour
But it is given that it takes 12.3 hours to install the carpet.
Hence, the calculations were wrong.
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m□ebd=4 x-8 and m□ebc=5 x+20
This is solvable only if e b is the initial side and b d and b c lies on opposite side of each other and lies on a line i.e c,b,d are Collinear.
∠ebd and ∠ebc will form a linear pair.The meaning of linear pair is that angles forming on one side of a straight line through a common vertex which are adjacent is 180°.
i.e
∠ ebd + ∠ebc = 180°
4 x- 8 + 5x + 20= 180°
adding like terms
⇒ 9 x +12 =180°
⇒ 9 x = 180° - 12
⇒ 9 x = 168°
⇒ x =( 168/9)°=(56/3)°
now m□ebc =5 x +20
= 5 × 56/3 + 20
= 280/3 + 20
=340/3
m□ebc=( 340/3)°
So, solution set is x =(56/3)° and m□ebc =(340/3)°
If you multiply 268 with 6, you get 1608 as your answer.
