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RUDIKE [14]
3 years ago
15

URGENT!! A 16 inch board is to be cut into three pieces so that the second piece is twice as long as the first piece and the thi

rd piece is 5 times as long as the first piece. If x represents the length of the first piece, find the lengths of all three pieces. what is the length of the first piece, the second piece, and third piece?
Mathematics
2 answers:
-BARSIC- [3]3 years ago
6 0

Answer:

Step-by-step explanation:

let length of first piece = x in

length of second piece = 2x

length of third piece = 5x

x+2x+5x= 16

8x =16

x =16/8

x=2

length of :

first piece =2 inches

second piece = 4 inches

third piece = 10 inches..

please mark me as the brainliest..

torisob [31]3 years ago
5 0

Answer:

2, 4, 10 in

Step-by-step explanation:

The first piece is x thus the second piece is 2x ( twice as long as first ) and

the third piece is 5x ( five times as long as the first )

Add the 3 together and equate to 16

x + 2x + 5x = 16, that is

8x = 16 ( divide both sides by 2 )

x = 2

Thus

first piece = x = 2 in

second piece = 2x = 2 × 2 = 4 in

third piece = 5x = 5 × 2 = 10 in

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Step-by-step explanation:

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3 years ago
Please help with a, b, and c!!
padilas [110]
(a). 
The product of two binomials is sometimes called FOIL.
It stands for ...

       the product of the First terms                (3j  x  3j)
plus
       the product of the Outside terms          (3j  x  5)
plus
       the product of the Inside terms            (-5  x  3j)
plus
       the product of the Last terms                (-5  x  5)

FOIL works for multiplying ANY two binomials (quantities with 2 terms).

Here's another tool that you can use for this particular problem (a).
It'll also be helpful when you get to part-c .

Notice that the terms are the same in both quantities ... 3j and 5 .
The only difference is they're added in the first one, and subtracted
in the other one.

Whenever you have     

              (the sum of two things) x (the difference of the same things)

the product is going to be

                 (the first thing)²  minus  (the second thing)² .

So in (a), that'll be      (3j)² - (5)²  =  9j² - 25 .

You could find the product with FOIL, or with this easier tool.
______________________________

(b).
This is the square of a binomial ... multiplying it by itself.  So it's
another product of 2 binomials, that both happen to be the same:

                            (4h + 5) x (4h + 5)  .

You can do the product with FOIL, or use another little tool:

The square of a binomial        (4h + 5)²    is ...

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plus
         the square of the last term                (5)²
plus
         double the product of the terms      2 · (4h · 5)
________________________________

(c).
Use the tool I gave you in part-a . . . twice .

The product of the first 2 binomials is           (g² - 4) .

The product of the last 2 binomials is also    (g² - 4) .

Now you can multiply these with FOIL,
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in the like term you can add directly and make it single fraction and in unlike term you have to take LCM of denominator .

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