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liraira [26]
2 years ago
11

A regular-size box of cereal measures 3 1/2 inches by 8 1/2 inches by 15 inches. The manufacturer also sells an individual-size

box that has a volume that is 1 1/0 of the volume of the regular-size box.
What is the volume of the individual-size box of cereal?

Enter your answer as a mixed number in simplest form by filling in the boxes.
Mathematics
1 answer:
Phoenix [80]2 years ago
4 0

The individual-size box of cereal is a rectangular prism with a volume of 44.625 inches³.

<h3>What is the volume of a rectangular prism?</h3>

The volume of rectangular prism of length l, width w and height h is given by:

V = lwh.

In this problem, the standard dimensions are:

  • l = 3(1/2) = 3 + 0.5 = 3.5 inches.
  • w = 8(1/2) = 8 + 0.5 = 8.5 inches.
  • h = 15 inches.

The individual-size box has a 1/10 of the volume of the original box, hence:

V = 0.1 x 3.5 x 8.5 x 15 = 44.625 inches³.

More can be learned about the volume of a rectangular prism at brainly.com/question/17223528

#SPJ1

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what is the y-intercept of the equation of the line that is perpendicular to the line y=3/5x+10 and passes through the point (15
ohaa [14]

The slope of the given line is the coefficient of x, 3/5. The slope of the perpendicular line will be the negative reciprocal of that: -1/(3/5) = -5/3.

The point-slope form of the equation for a line of slope m through point (h, k) can be written ...

... y = m(x -h) +k

For your point and the slope found above, this becomes

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When x=0, this is

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The y-intercept is 20.

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Write the quadratic equation in standard form and then choose the value of "b." (2x - 1)(x + 5) = 0
Sunny_sXe [5.5K]
If we were to foil
after experieence

we know
ax²+bx+c=0

and
in form
(ax+b)(cx+d)=0
if we expand it, we get
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or
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