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Genrish500 [490]
2 years ago
5

Your supervisor asks you to figure out how many sets of bed linens can be washed in an 8 hour shift. Here are the facts you know

: You can only fit 5 sets of linens in one washer, it takes 45 min. to wash the linens and you have 2 washers to do linens in. How many sets of linens can be washed in 8 hours?
Mathematics
1 answer:
Anit [1.1K]2 years ago
5 0

Answer:

100

Step-by-step explanation:

There are two washers to do linen washing.  

We can fit only 5 sets of linens in one washer, and 45 mins are required to wash the linens.

Therefore, within 45 mins we can wash (5×2) =10 sets of lines.

If the shift is of 8 hours i.e. ( 8×60) =480 mins, then within this time the number of linen sets will be washed is (480/45)×10 = 106.67 ≈100 (Answer)

{Since the number of linen set to be washed will be multiple of 10}

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If x+a is a factor of 2x²+2ax+5x+10,find a.
vazorg [7]

If x+a is a factor of the polynomial, it means that -a is a root of the polynomial.

In fact, if a polynomial p(x) has a root x_0 (i.e. p(x_0)=0), then the polynomial is divisible by (x-x_0)

In your case, you know that the polynomial is divisible by (x+a)=(x-(-a)), so -a is a solution.

Let's evaluate p(-a) and set it to zero:

2(-a)^2+2a(-a)+5(-a)+10 = 0 \iff 2a^2-2a^2-5a+10=0 \iff -5a+10 = 0 \iff a = 2

We can check the answer: if a=2 the polynomial becomes

2x^2+2(2)x+5x+10 = 2x^2+9x+10

And we're claiming that -a=-2 is a root of this polynomial:

2(-2)^2+9(-2)+10 = 2\cdot 4 - 18 + 10 = 0

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3 years ago
Jose earns extra money, m, working two weekends with his dad. He is saving to buy a new pair of skis that cost $147. Fantasia sa
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Step-by-step explanation:

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2 years ago
Mike is a car salesman. He earns $200 for every car he sells plus a 3% commission. If Mike sells 3 cars in one week for a total
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<span>For every car Mike earns------------------ >$200 plus 3% commission</span>

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Your answer is 65. :)
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Answer:

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Step-by-step explanation:

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