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madam [21]
3 years ago
10

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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Which of the solution sets is all real numbers? |x| < -1 |x| = -1 |x| > -1?
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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

so

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

so

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