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andrey2020 [161]
3 years ago
5

Each pair of plaster covers 97 square feet of ceiling. How many pails of plaster would you need to buy to cover the ceiling of a

room with walls 14 feet long?
Mathematics
1 answer:
klasskru [66]3 years ago
3 0
The first thing we must do for this case is find the area.
 "room with walls 14 feet long"
 Therefore, the area is given by:
 A = (14) * (14)
 A = 196 feet ^ 2
 Then, the number of pails of plaster are given by:
 n = 196/97
 n = 2.02
 Rounding off we have:
 n = 2
 Answer:
 
you would need to buy 2 pails of plaster to cover the ceiling of a room with walls 14 feet long
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A manager in a call center needs to determine how many agents to schedule next week.
lukranit [14]

Answer:

Number of calls expected in next week by manager = 7940

Average Number of calls that call center agent will attend in an hour =7 calls

It is also given that, Call center remain open for 10 hours 5 days a week.

Also, it is given that, full time agents work 40 hours a week but are only on call for 35 hours per week  ,Part time agents work 20 hours a week but are only on calls 17 hours per week .

⇒Number of hours worked by full time agents × Number of calls attended in an hour × Number of full time agents + Number of hours worked by Part time agents × Number of calls attended in an hour × Number of Part time agents ≤ 7940

⇒35 × 7×Number of full time agents +17 × 7 ×Number of Part time agents ≤ 7940

Option A

⇒35×15×7+17×7×15

= 3675+1785

= 5460

Option B

⇒35 ×7×20+17×7×7

=4900 +833

= 5733

Option C

⇒35×20×7 +17×20×7

=4900+2380

=7280

Option D

⇒25 × 35×7+17×7×5

=6125 +595

=6720

Option E

⇒28×35×7+17×7×10

=6860+1190

=8050

Option E, ⇒ 28 full time agents and 10 part time agents , is best to meet the scheduling needs is most appropriate, that is nearer to 7940 calls.

7 0
3 years ago
Find the zeroes of the following equation:
weqwewe [10]

Answer:  \bold{x=\dfrac{1\pm \sqrt5}{2}}

                both zeros are irrational numbers

<u>Step-by-step explanation:</u>

Note: The question would have made more sense if if it was 2/x = x - 1 but I will answer it as written.

\dfrac{1}{x}=x-1\qquad \text{Restriction: }x\neq 0\\\\\\\text{Cross multiply, simplify, and set equal to zero:}\\1=x(x-1)\\\\1=x^2-x\\\\0=x^2-x-1\\\\\\\text{This is not factorable so you will need to use Quadratic Formula:}\\\\x=\dfrac{-(-1)\pm \sqrt{(-1)^2-4(1)(-1)}}{2(1)}\\\\\\x=\dfrac{1\pm \sqrt5}{2}

7 0
3 years ago
Which of the following is the inverse y=3x
Nitella [24]
To find an inverse, switch the x and the y and solve for the new y.  Yours switched is x = 3y.  Now solving for y we divide both sides by 3 to get y = x/3
3 0
3 years ago
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Svetach [21]

Answer:

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lys-0071 [83]

Given:

\frac{3}{8}(2x+16)-2=13\frac{3}{8}(2x+16)=13+2\frac{3}{8}(2x+16)=15(2x+16)=15\times\frac{8}{3}(2x+16)=402x=40-162x=24x=\frac{24}{2}x=12

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