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2 years ago

Solve for ×. site all steroids and check your work. 3×+5=35

Mathematics

2 answers:

avanturin [10]2 years ago

8 0

3x=30<=>x=30/3<=>x=10

Anna71 [15]2 years ago

5 0

X=10 first u do 35-5 then u do 30/3 to get 10

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The height of container is 8 feet

Solution:

Let "w" be the width of container

Let "l" be the length of container

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The width of a container is 5 feet less than its height

Therefore,

width = height - 5

w = h - 5 ------ eqn 1

Its length is 1 foot longer than its height

length = 1 + height

l = 1 + h ---------- eqn 2

The volume of container is given as:

$v = length \times width \times height$

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Substitute eqn 1 and eqn 2 in above formula

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Solve by factoring

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Use the zero factor principle

If ab = 0 then a = 0 or b = 0 ( or both a = 0 and b = 0)

Therefore,

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Also,

$h^2+4h+27 = 0$

Solve by quadratic equation formula

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Thus solutions of "h" are:

h = 8

$h=-2+\sqrt{23}i,\:h=-2-\sqrt{23}i$

"h" cannot be a imaginary value

Thus the solution is h = 8

Thus the height of container is 8 feet

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