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3 years ago

8w-2=12w+6 both answers

Mathematics

2 answers:

-Dominant- [34]3 years ago

8 0

Answer:

$8w - 2 = 12w + 6 \\ 8w - 12w = 6 + 2 \\ - 4w = 8 \\ w = \frac{8}{ - 4} \\ w = - 2$

I hope it helped U

stay safe stay happy

creativ13 [48]3 years ago

6 0

Answer:

your answer is -2

I hope it's helps you

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A rectangular storage container with an open top is to have a volume of 24 cubic meters. The length of its base is twice the wid

Mariana [72]

Answer:

419.25

Step-by-step explanation:

The calculation of the cost of materials for the cheapest such container is shown below:-

We assume

Width = x

Length = 2x

Height = h

where, length = $2 \times width$

Base area = lb

= $2x^2$

Side area = 2lh + 2bh

= 2(2x)h + 2(x)h

= 4xh + 2xh

Volume = 24 which is lbh = 24

$h = \frac{24}{2x^2} \\\\ h = \frac{12}{x^2}$

Now, cost is

$= 13(2x^2) + 9(4xh + 2xh)\\\\ = 13(2x^2) + 9(4x + 2x)\times \frac{12}{x^2} \\\\ = 26x^2 + \frac{648}{x}$

now we have to minimize C(x)

So, we need to compute the C'(x)

$= 52x - \frac{648}{x^2}$

C"(x) $= 52x - \frac{1,296}{x^3}$

now for the critical points, we will solve the equation C'(x) = 0

$= 52x - \frac{648}{x^2} = 0\\\\ x = \frac{648}{52}^{\frac{1}{3}}$

$C" = ((\frac{648}{52} ^{\frac{1}{3} } = 52 + \frac{1296}{(\frac{648}{52})^\frac{1}{3} )^3}\\\\ = 52 + \frac{1296}{\frac{648}{52} } >0$

So, x is a point of minima that is

= $(\frac{648}{52} )^\frac{1}{3}$

Now, Base material cost is

$= 13(2x^2)\\\\ = 26(\frac{648}{52} )^\frac{2}{3}$

= 139.75

Side material cost is

$= \frac{648}{x} \\\\ = \frac{648}{(\frac{648}{52})^\frac{1}{3} }$

= 279.50

and finally

Total cost is

= 139.75 + 279.50

= 419.25

4 0

3 years ago

ANSWER FAST PLEASEEE

KATRIN_1 [288]

Answer:

Linear Equation: y=-44000x+88922000

Year 2009: $526000

By year 2021, they have no more fund

Step-by-step explanation:

Slope formula is difference of y/difference of x. 79000-70200/2003-2005=

-88000/2=-44000.

To find the y intercept, x=0.

It should be year 0. 44000x2003=88132000+790000=88922000

Now put it into y=mx+b

y=-44000x+88922000

Plug in 2009.

It should equal 526000.

6 0

2 years ago

Doing multi step equations:<br><br> 2k - 4 = 2 + k

Marysya12 [62]

2k - 4 = 2 + k
(Subtract both sides by k)
k - 4 = 2
(Add both sides by 4)
k = 6

8 0

2 years ago

A rectangle or piece of paper has a width is 3 inches less than its link it is cut in half along a diagonal to create two congru

kolezko [41]

The length and width of the rectangle is 11 in and 8 in respectively.

Step-by-step explanation:

Given,

The width of a rectangle is 3 in less than the length.

The area of each congruent right angle triangle = 44 in²

To find the length and width of the rectangle.

Formula

The area of a triangle with b base and h as height = $\frac{1}{2}$ bh

Now,

Let, the width = x and the length = x+3.

Here, for the triangle, width will be its base and length will be its height.

According to the problem,

$\frac{1}{2}$ ×(x+3)×x = 44

or, $x^{2} +3x = 88$

or, $x^{2} +3x-88 = 0$

or, $x^{2}$ +(11-8)x-88 = 0

or, $x^{2}$ +11x-8x-88 =0

or, x(x+11)-8(x+11) = 0

or, (x+11)(x-8) = 0

So, x = 8 ( x≠-11, the length or width could no be negative)

Hence,

Width = 8 in and length = 8+3 = 11 in

3 0

3 years ago

[-16 (-0.2)]-[(-4)×0.66]

Sergio [31]

[-16(-0.2)] - [(-4)*0.66]

3.2 - (-2.64)

3.2+2.64 = 5.84

So, your answer is 5.84

4 0

3 years ago