Jenny has a new box of 8 colored pencils. Each one is perfectly sharpened. Together the colored pencils have a mass of 56 grams

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1 answer:

storchak [24]3 years ago

8 0

Answer:

If you are trying to find how much grams are in one color pencil it is 7 grams.

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★ The two factors of the number 221 are 13 and 17.

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The dimensions of a rectangle box are consecutive integers. If the box has volume of 13,800 cubic centimeters, what are its dime

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Three consecutive integers are x, x+1, x+2.
The volume of a rectangular box is the product of its three dimensions. The volume is 138000 cm³.

$x(x+1)(x+2)=13800 \\
(x^2+x)(x+2)=13800 \\
x^3+2x^2+x^2+2x=13800 \\
x^3+3x^2+2x-13800=0 \\
x^3-23x^2+26x^2-598x+600x-13800=0 \\
x^2(x-23)+26x(x-23)+600(x-23)=0 \\
(x^2+26x+600)(x-23)=0 \\ 
x^2+26x+600=0 \ \lor \ x-23=0 \\ \\
1. \\
x^2+26x+600=0 \\ \\
a=1 \\ b=26 \\ c=600 \\ \Delta=b^2-4ac=26^2-4 \times 1 \times 600=676-2400=-1724 \\
\hbox{the discriminant is less than 0 so there are no real solutions} \\ \\
2. \\
x-23=0 \\
x=23 \\ \\
x+1=23+1 =24 \\ \\
x+2=23+2=25$

The dimensions of the box are 23 cm x 24 cm x 25 cm.

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