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4 years ago

8 people serving 2 pies equally how much does each person get

2 answers:

8 0

If there are 8 people serving two pies, there 1/16 because 8*2= 1) so each person would get 1 out of 16. Hoped that helped... make sence biw?!?!

Anika [276]4 years ago

3 0

There are 8 people, but only 2 pies. So to figure out how much each person gets when divided, which is a keyword, equally. So to put it in fraction form it would be 2/8. If you simplify it you get 1/4. In decimal form, 2/8 and 1/4 both equal 0.25. Hope this helps you to understand it a bit more!

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Anton [14]

It should be inconsistent

4 0

3 years ago

Please help me asap i need it

TiliK225 [7]

Answer:

j) y=2/5x-1

Step-by-step explanation:

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6 0

3 years ago

Read 2 more answers

A parabola can be represented by the equation x2 = 2y. What are the coordinates of the focus and the equation of the directrix?

Vera_Pavlovna [14]

Answer:

the coordinate of the focus is: (0, 1/2)

the equation of the directrix is: y=-1/2

Step-by-step explanation: The standard equation for a parabola that opens upward- parallel to the y-axis, is: x2=4ay. Meaning, a = distance from the vertex to focus and the vertex is at origin: (0,0).

4a is equal to 2

a is equal to 2/4

a is equal to 1/2 or 0.5

7 0

3 years ago

What is the volume of the prism?

Nikitich [7]

Answer:

24 m³

Step-by-step explanation:

We need to find the volume of the prism. Given that , rectangular prism with cubic units arranged in two rows of two with six total layers . And the volume of each unit is 1 m³ .

Volume of one unit :-

$\rm\implies Volume_{one\ unit } = 1m^3$

By Unitary Method :-

Volume of two cubes , will be :-

$\rm\implies Volume_{two\ unit } = 2m^3$

Volume of one layer :-

$\rm\implies Volume_{one\ layer } = 4m^3$

Volume of six layers :-

$\rm\implies Volume_{6\ layers } = 4m^3\times 6 \\\\\rm\implies \boxed{\rm Volume_{6\ layers } = 24 \ m^3}$

7 0

3 years ago

A box with a hinged lid is to be made out of a rectangular piece of cardboard that measures 3 centimeters by 5 centimeters. Six

Zarrin [17]

Answer:

The volume of the box is maximized when x = 0.53 cm

Therefore, x = 0.53 cm and the Maximum volume = 1.75 cm³

Step-by-step explanation:

Please refer to the attached diagram:

The volume of the box is given by

$V = Length \times Width \times Height \\\\$

Let x denotes the length of the sides of the square as shown in the diagram.

The width of shaded region is given by

$Width = 3 - 2x \\\\$

The length of shaded region is given by

$Length = \frac{1}{2} (5 - 3x) \\\\$

So, the volume of the box becomes,

$V = \frac{1}{2} (5 - 3x) \times (3 - 2x) \times x \\\\V = \frac{1}{2} (5 - 3x) \times (3x - 2x^2) \\\\V = \frac{1}{2} (15x -10x^2 -9 x^2 + 6 x^3) \\\\V = \frac{1}{2} (6x^3 -19x^2 + 15x) \\\\$

Take the derivative of volume and set it to zero.

$\frac{dV}{dx} = 0 \\\\\frac{dV}{dx} = \frac{d}{dx} ( \frac{1}{2} (6x^3 -19x^2 + 15x)) \\\\\frac{dV}{dx} = \frac{1}{2} (18x^2 -38x + 15) \\\\\frac{dV}{dx} = \frac{1}{2} (18x^2 -38x + 15) \\\\0 = \frac{1}{2} (18x^2 -38x + 15)\\\\18x^2 -38x + 15 = 0\\\\$

We may solve the quadratic equation using the quadratic formula.

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

The values of coefficients a, b, c are

$a = 18 \\\\b = -38 \\\\c = 15 \\\\$

Substituting the values into quadratic formula yields,

$x=\frac{-(-38)\pm\sqrt{(-38)^2-4(18)(15)}}{2(18)} \\\\x=\frac{38\pm\sqrt{(1444- 1080}}{36} \\\\x=\frac{38\pm\sqrt{(364}}{36} \\\\x=\frac{38\pm 19.078}{36} \\\\x=\frac{38 + 19.078}{36} \: or \: x=\frac{38 - 19.078}{36}\\\\x= 1.59 \: or \: x = 0.53 \\\\$

Volume of box when x = 1.59:

$V = \frac{1}{2} (5 - 3(1.59)) \times (3 - 2(1.59)) \times (1.59) \\\\V = -0.03 \: cm^3 \\\\$

Volume of box when x = 0.53:

$V = \frac{1}{2} (5 - 3(0.53)) \times (3 - 2(0.53)) \times (0.53) \\\\V = 1.75 \: cm^3$

As you can see, the volume of the box is maximized when x = 0.53 cm

Therefore, x = 0.53 cm and the Maximum volume = 1.75 cm³

8 0

3 years ago