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3 years ago

How many dogs do I have if I give two away

Mathematics

1 answer:

Helen [10]3 years ago

3 0

Answer:

Two less dogs

Your situation can be defined as x-2, where x was the number of dogs. Since the number of original dogs was not specified, two less dogs is the corrext answer

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An open-top box is to be made from a 12-inch by 24-inch piece of plastic by removing a square from each corner of the plastic an

Nina [5.8K]

Answer:

The maximum possible volume = 332.685 cubic inches

Step-by-step explanation:

From the information given:

Let the height be = x

The length be = 24 - 2x

The width be = 12 - 2x

Then V = x (24 -2x) ( 12 - 2x)

V = x ( 288 -48x - 24x +4x²)

V = x(288 - 72x + 4x²)

V = 288x - 72x² + 4x³

$\dfrac{dV}{dx}= (3x^2 - 36x+ 72)$

$\implies x^2 - 12x + 24 = 0$

$=\dfrac{-b \pm \sqrt{b^2 - 4ac}}{2a}$

$=\dfrac{-(-12) \pm \sqrt{(-12)^2 - 4(1)(24)}}{2(1)}$

$=\dfrac{12 \pm \sqrt{144 - 96}}{2}$

$=\dfrac{12 \pm \sqrt{48}}{2}$

where;

$x \ne \dfrac{12 + \sqrt{48}}{2}$

∴ $x= \dfrac{12 - \sqrt{48}}{2}$

x = 2.536 ( since the length cannot be negative)

So, the length x = 24 - 2(2.535) = 18.93

The width = 12 - 2(2.535) = 6.93

heigth = 2.536

∴

V = 18.93 × 6.93 × 2.536

V = 332.685 cubic inches

5 0

3 years ago

Adriano runs a website that helps writers write better stories. Every month, Adriano receives a subscription fee of $5 from each

Inessa05 [86]

$1150. I hope this helps.

3 0

3 years ago

last year my math book cost $126,and i was told the price would increase 9% each year. If the cost continues to increase at this

mrs_skeptik [129]

2,268 because u have to add the 2 years with 126

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4 years ago

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Convert polar equation to rectangular coordinates θ = − (9π/ 2)

yan [13]

Visualize pi/2 as 90° on the unit circle. this has no real component, only imaginary. same for 3pi/2, or -pi/2 as shown in this equation:

$- \frac{ \pi}{2} = 0 - i$

as you move around the unit circle, you'll find that 9pi/2 is the same angle as pi/2.

Thus, the rectangular coordinates are:
$- \frac{9\pi}{2} = 0 - i$

7 0

3 years ago

What is the decimal equivalent of 7/8

noname [10]

Answer:

0.875

Step-by-step explanation:

to convert the fraction 7/8 to decimal

therefore 7 divided 8 = 0.875

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3 years ago

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