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insens350 [35]
2 years ago
6

At a certain company, the annual winter party is always held on the second of Friday of December. What is the latest possible da

te for the party
Mathematics
1 answer:
vitfil [10]2 years ago
7 0

Answer:

The latest possible date is December, 14th.

Step-by-step explanation:

Notice that the second Friday of December is n+7, where n is the date for the first Friday of December. So, the latest the first Friday, the latest the second. As the weeks have seven days, the first Friday will be between 1st and 7th of each month. So, the latest first Friday will be 7th. Therefore, the latest second Friday will be 14th.

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Consider 8x2 - 48x = -104. Write the equation so that x2 – 6x + (blank) = –13 + (blank)
Monica [59]

Answer:

That (blank) is 9.

Step-by-step explanation:

Please write 8x^2 - 48x = -104, with " ^ " indicating exponentiation.  Thanks.

This sounds like a perfect example of "completing the square."

First, factor 8x^2 - 48x = -104:  8(x^2 - 6x = -13).

If we focus SOLELY on x^2 - 6x = -13, it's just a little easier to "complete the square."  Take half of the coefficient of x (which here is -6), and square that result (which here is (-3)^2, or 9.  Now add 9 both sides of x^2 - 6x = -13:

x^2 - 6x + 9 = -13 + 9.  Note:  The "blank" in the problem statement is 9.  

We could go ahead and solve this, tho' we weren't asked to do so.  Rewrite x^2 - 6x + 9 as (x - 3)^2:

x^2 - 6x = -13 then becomes (x - 3)^2 = 4.  To solve for x, take the sqrt of both sides of this latest result, obtaining x - 3 = plus or minus 2.  Add 3 to both sides to isolate x:  x = 3 plus or minus 2.

Thus, x = 5 or x = 1.  

5 0
2 years ago
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Average speed of Car 1 = 45 mph. Average speed of Car 2 = 65 mph. Time elapsed between start of Car 1 and start of Car 2 = 18 mi
Art [367]
Is this math? if so let me know maybe I could try to help
3 0
2 years ago
Mike and Jasmine have a combined age of 30. Mike is 3 years younger than twice Jasmines age. How old is Mike?
Kamila [148]
Mike is 19.

If you turn the question into an equation it turns to:
J x 2 - 3 = M

So since you don’t know Jasmine’s age you would use guess and check. 8,9, and 10 didn’t work but when you put in 11:
11 x 2 - 3 = M
22 - 3 = M
19 = M

And to check your work
J + M has to equal 30 so,
11 + 19 = 30
30 = 30
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2 years ago
PLS HELP ASAP PLSSSS!!!!!!!!!!!!!!!!!!!!!!!!!
agasfer [191]

Answer:

592,000

Step-by-step explanation:

The new dimensions are 500, 280, and 200. Multiply 2(500*280 + 500*200 + 280*200) to get the answer

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2 years ago
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Which of the following is not a solution for x &lt; 8?<br><br> x = 9<br> x = 7.95<br> x = 4.3
faltersainse [42]
The answer is 9 because If x has to be less than 8 then it can’t be 9
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