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enot [183]
2 years ago
13

Solve for the value of m. ​

Mathematics
2 answers:
sergeinik [125]2 years ago
8 0

Answer:

M= 17.25

Step-by-step explanation:

8m+4+38=180

8m+42=180

8m+42-42=180-42

8m=138

8/8=138/8

m=17.25

Check:

17.25*8+4+38 = 180

nikdorinn [45]2 years ago
7 0

Answer:

m = 6

Step-by-step explanation:

8 * 6 = 48 + 4 = 52 + 38 = 90

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-1 - (-7) over 3 - (-1) = M

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Russia has recently started a push for stronger smoking regulations much like those in western countries concerning cigarette ad
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a) 0.46

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Step-by-step explanation:

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3 years ago
A rectangular piece of sheet metal has a length that is 6 in. less than twice the width. a square piece 3 in. on a side is cut f
m_a_m_a [10]
The original width would be 19 and the original length would be 32.

Let w be the width.  Then 2w-6 would be the length.  However, after cutting a 3-inch square from each corner, both the width and length left over to fold into a box would be 6 inches smaller; thus the dimensions would be w-6 and 2w-6-6 or 2w-12.  

Since the section cut out is 3 inches long, 3 will be the height of the box.

Volume is found by multiplying the length, width and height of the box; thus we have:

1014=(w-6)(2w-12)(3)

We multiply the binomials and have:
1014 = [w*2w-12*w-6*2w-6(-12)](3)
1014 = (2w²-12w-12w+72)(3)
1014 = (2w²-24w+72)(3)
1014 = 6w² - 72w + 216

When solving a quadratic equation, we want it set equal to 0.  Subtract 1014 from each side:

1014-1014 = 6w² - 72w + 216 - 1014
0 = 6w² - 72w - 798

We will use the quadratic formula to solve this:

w=\frac{-b\pm \sqrt{b^2-4ac}}{2a}
\\
\\=\frac{--72\pm \sqrt{(-72)^2-4(6)(-798)}}{2(6)}
\\
\\=\frac{72\pm \sqrt{5184--19152}}{12}
\\
\\=\frac{72\pm \sqrt{5184+19152}}{12}
\\
\\=\frac{72\pm \sqrt{24336}}{12}
\\
\\=\frac{72\pm 156}{12}
\\
\\=\frac{72+156}{12} \text{ or } \frac{72-156}{12}
\\
\\=\frac{228}{12} \text{ or } \frac{-84}{12}=19 \text{ or } -7

Since we cannot have a negative number for a measurement, 19 has to be the width; then 2(19)-6 = 32 would be the length.
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3 years ago
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