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vesna_86 [32]
3 years ago
12

Express the product of M and N algebraically

Mathematics
1 answer:
tatuchka [14]3 years ago
5 0
How do you express the product if there is no numbers?

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Wha is the value of 8(3+x) when x=7
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Step-by-step explanation:

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Rita's family is moving to Grand Junction to Dallas. The moving van averages 60 miles each hour. About how many hours does the v
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Answer:

16 hours and 20 minutes.

Step-by-step explanation:

Please consider the complete question.

Rita's family is moving to Grand Junction to Dallas, which is 980 miles. The moving van averages 60 miles each hour. About how many hours does the van take to reach Dallas?

To find the time taken by van to reach Dallas, we will divide total distance by speed.

\text{Time}=\frac{\text{Distance}}{\text{Speed}}

\text{Time taken to reach Dallas}=\frac{980\text{ Miles}}{60\frac{\text{ Miles}}{\text{Hour}}}

\text{Time taken to reach Dallas}=\frac{980\text{ Miles}}{60}\times \frac{\text{ Hour}}{\text{Miles}}

\text{Time taken to reach Dallas}=\frac{98}{6}\text{ Hour}

\text{Time taken to reach Dallas}=16.3333\text{ Hour}

Let us convert 0.3333 hours into minutes by multiplying 0.3333 by 60.

0.3333\times 60=19.998\approx 20

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3 years ago
Find the volume of the largest rectangular box in the first octant with three faces in the coordinate planes and one vertex in t
Tresset [83]

Answer: The volume of largest rectangular box is 4.5 units.

Step-by-step explanation:

Since we have given that

Volume = xyz

with subject to x+2y+3z=9

So, let z=\dfrac{9-x-2y}{3}

So, Volume becomes,

V=xyz\\\\V=xy(\dfrac{9-x-2y}{3})\\\\V=\dfrac{9xy-x^2y-2xy^2}{3}

Partially derivative wrt x and y we get that

9-2x-2y=0\implies 2x+2y=9\\\\and\\\\9-x-4y=0\implies x+4y=9

By solving these two equations, we get that

x=3,y=\dfrac{3}{2}

So, z=\dfrac{9-x-2y}{3}=\dfrac{9-3-3}{3}=\dfrac{3}{3}=1

So, Volume of largest rectangular box would be

xyz=3\times \dfrac{3}{2}\times 1=\dfrac{9}{2}=4.5

Hence, the volume of largest rectangular box is 4.5 units.

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3 years ago
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