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earnstyle [38]
3 years ago
7

A trail mix has 4 cups of raisins, 3 cups of dates, 6 cups of peanuts,and 2 cups of cashews. Which ingredients are in the same r

atio as cashews to raisins
Mathematics
1 answer:
ICE Princess25 [194]3 years ago
5 0
Dates to cashews with a ratio of 3:6
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Answer:

  A.  when the plane passes through a pair of vertices that do not share a common face

Step-by-step explanation:

The cross section will be a parallelogram if two pairs of opposite faces are intersected. Having the plane contain the space diagonal, but no other vertices, is one way to ensure a (non-rectangular) parallelogram.

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The only vertices not sharing a common face are the ones at opposite ends of a space diagonal. If the plane intersects both of those, it will contain the space diagonal.

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Answer:

x = 45 \ \& \ y = 5

Step-by-step explanation:

The system of linear equations in two variables is ,

\begin{cases} x = 9y \cdots (i)\\ x - 5y = 20\cdots (ii) \end{cases}

We can easily solve out this Question using substitution method . For that , substituting x = 9y from equation (i) to equation (ii) , we have ,

\implies x - 5y = 20 \\\\\implies 9y - 5y = 20 \\\\\implies 4y = 20 \\\\\implies y =\dfrac{20}{4}\\\\\implies\boxed{\boxed{ y = 5 }}

Substituting this value in (i) ,

\implies x = 9y \\\\\implies x = 9\times 5 \\\\\implies \boxed{\boxed{ x = 45 }}

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