Y=x+12 4x+2y=27 help me please

Mathematics

1 answer:

In-s [12.5K]4 years ago

8 0

It should be 27, because if Y=x+12 4x+2y=27 then y equals all of that which equals 27.

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3 years ago

Some airlines have restrictions on the size of items of luggage that passengers are allowed to take with them. Suppose that one

olga_2 [115]

Answer:

Length = Width = Height = 64 ; Luggage Box is a CUBE

Step-by-step explanation:

Given : Length (L) + Width (W) + Height (H) ≤ 192 ; & Length = Width

Volume ( V )of luggage [Cuboid] = L.W.H

Since L = W :

V = L.L.H → V = L^2H

L + L + H = 192 → 2L + H = 192 → H = 192 - 2L

Putting value of 'H' in 'V'

V = L^2 (192 - 2L) → V = 192L^2 - 2L^3

Maximising volume function , differentiating it w.r.t 'L'

dV / dL = 2(192 L) - 3 (2L^2) → = 384L - 6L^2

dV / dL = 384L - 6L^2 = 0

384L = 6L^2 → 384 = 6L

L = 384 / 6 → L = 64 ; W also = 64

Putting value of L in 1st given sum equation : 2L + H = 192

2 (64) + H = 192

128 + H = 192 → H = 192 - 128 → H = 64

Since L = W = H = 64 ; Luggage bag is a Cube

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3 years ago

In the diagram below, OPis circumscribed about quadrilateral ABCD. What is the value of x?

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9514 1404 393

Answer:

C. 82

Step-by-step explanation:

Opposite angles of an inscribed quadrilateral are supplementary. So ...

(x + 10°) + 88° = 180°

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If y varies inversely as x, and y=20 as x=3, find y for the x value 4

Ratling [72]

$\bf \qquad \qquad \textit{inverse proportional variation}\\\\
\textit{\underline{y} varies inversely with \underline{x}}\qquad \qquad y=\cfrac{k}{x}\impliedby 
\begin{array}{llll}
k=constant\ of\\
\qquad variation
\end{array}\\\\
-------------------------------\\\\
\begin{cases}
y=20\\
x=3
\end{cases}\implies 20=\cfrac{k}{3}\implies 20\cdot 3=k\implies 60=k
\\\\\\
thus\qquad \boxed{y=\cfrac{60}{x}}\\\\
-------------------------------\\\\
now\qquad x=4\qquad y=\cfrac{60}{4}$