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3 years ago

Write a word phrase that can be represented by w - 69.

Mathematics

2 answers:

svlad2 [7]3 years ago

8 0

Answer:

The result of the subtraction between a number w and 69

Step-by-step explanation:

“W”= “a number w”

“-“= “less” but “a-b” = “the subtraction between a and b”

Then

“w - 69”= “The result of the subtraction between a number w and 69”

Umnica [9.8K]3 years ago

4 0

W-69 = 69 less than a number w

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The width of a container is 5 feet less than its height. Its length is 1 foot longer than its height. The volume of the containe

juin [17]

The height of container is 8 feet

Solution:

Let "w" be the width of container

Let "l" be the length of container

Let "h" be the height of container

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:

$v = length \times width \times height$

Given that volume of the container is 216 cubic feet

$216 = l \times w \times h$

Substitute eqn 1 and eqn 2 in above formula

$216 = (1 + h) \times (h-5) \times h\\\\216 = (h+h^2)(h-5)\\\\216 = h^2-5h+h^3-5h^2\\\\216 = h^3-4h^2-5h\\\\h^3-4h^2-5h-216 = 0$

Solve by factoring

$(h-8)(h^2+4h+27) = 0$

Use the zero factor principle

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

Therefore,

$h - 8 = 0\\\\h = 8$

Also,

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

Solve by quadratic equation formula

$\text {For a quadratic equation } a x^{2}+b x+c=0, \text { where } a \neq 0\\\\x=\frac{-b \pm \sqrt{b^{2}-4 a c}}{2 a}$

$\mathrm{For\:} a=1,\:b=4,\:c=27:\quad h=\frac{-4\pm \sqrt{4^2-4\cdot \:1\cdot \:27}}{2\cdot \:1}$

$h = \frac{-4+\sqrt{4^2-4\cdot \:1\cdot \:27}}{2}=\frac{-4+\sqrt{92}i}{2}$

Therefore, on solving we get,

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

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

8 0

3 years ago

33.366 divided by 6.7

andrey2020 [161]

Answer:

Step-by-step explanation:

33.366/6.7= 4.98

5 0

3 years ago

Which of the data sets below has a mean of 32? Select all that apply.

Akimi4 [234]

Answer:

B is the correct answer

Step-by-step explanation: When you add 18+54+24=96 divide 96 by 3 and its 32!

5 0

3 years ago

-3x-y=9

Lina20 [59]

Answer:

D: no solution

...because none of the answers work for both of the equations when you plug in the x and y values

4 0

3 years ago

Solve for x: (4x + 15) = 24

Goshia [24]

Answer:

x=9/4

Step-by-step explanation:

we have:

(4x + 15) = 24

4x=24-15

4x=9

finally: x=9/4

3 0

3 years ago