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3 years ago

The equal sign is confusing me ? Do I combine then solve or just combine

Mathematics

2 answers:

Crank3 years ago

8 0

I would combine then solve.

Dahasolnce [82]3 years ago

8 0

Yes you have to writw the letters on one side amd numbers to the other side always changing signs for example

2X+3X-4=6X+1

2X+3X(-6X)=1+(4)
5X-6X=5
-X=5
X=-5

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A rectangular piece of metal is 25 in longer than it is wide. Squares with sides 5 in long are cut from the four corners and the

Licemer1 [7]

Answer:

The original length was 41 inches and the original width was 16 inches

Step-by-step explanation:

Let

x ----> the original length of the piece of metal

y ----> the original width of the piece of metal

we know that

When squares with sides 5 in long are cut from the four corners and the flaps are folded upward to form an open box

The dimensions of the box are

$L=(x-10)\ in\\W=(y-10)\ in\\H=5\ in$

The volume of the box is equal to

$V=(x-10)(y-10)5$

$V=930\ in^3$

$930=(x-10)(y-10)5$

simplify

$186=(x-10)(y-10)$ -----> equation A

Remember that

The piece of metal is 25 in longer than it is wide

$x=y+25$ ----> equation B

substitute equation B in equation A

$186=(y+25-10)(y-10)$

solve for y

$186=(y+15)(y-10)\\186=y^2-10y+15y-150\\y^2+5y-336=0$

Solve the quadratic equation by graphing

using a graphing tool

The solution is y=16

see the attached figure

Find the value of x

$x=16+25=41$

therefore

The original length was 41 inches and the original width was 16 inches

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3 years ago

Round the number 13.734 to the nearest whole<br>number (positive integer).

loris [4]

Answer: 14
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