3 years ago

50 POINTS! ONE ALGEBRA 2 QUESTION! (MUST SHOW WORK)

1 answer:

6 0

5.5x+13.5y=40
x+y=5.8

x=5.8-y
5.5(5.8-y)+13.5y=40
31.9-5.5y+13.5y=40
8y=8.1
y=1.0125 or about 1.0 hours
x=4.7875 or about 4.8 hours

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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

Right triangle abc and pqr are shown below what angle is congruent to angle a and b what is the area in squares of triangle pr4

Effectus [21]

6x3=18-3=15 Hope it helps

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3 years ago

Use the Distributive Property to complete the equivalent expression<br><br> 4(y – 3) =

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Answer:

4y - 12

Step-by-step explanation:

I hope this helps

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3 years ago

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3^4 + 3 x 5 =<br> (the '^4' is an exponent)

Vesnalui [34]

Answer:

Step-by-step explanation:

3^4 = 3*3*3*3 = 9*9= 81

3*5=15

81 + 15 = 96

Hope this helps!!

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3 years ago

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Mr. Jones sent his kids to Mt. Olympus. He gave each of his 5 children money for the day that included money for 4 drinks, 3 san

mihalych1998 [28]

Answer:

195

Step-by-step explanation:

4 drinks = 1.5 * 4 = 6.

3 sandwiches = 2 * 3 = 6

2 treats = 1 * 2 = 2

$6+$6+$2+$25 = 39

Multiply by 5 for each kid

39*5=195

6 0

3 years ago