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3 years ago

What's 12/15 closest to 0,1/2 or 1

Mathematics

1 answer:

sweet-ann [11.9K]3 years ago

4 0

Answer:

Step-by-step explanation:

12/15 can be simplified as 4/5, 4/5 can be rewritten as 8/10, or 80%. 0 is of course 0%, 1/2 is 50%, and 1 is 100%. 80% is closest to 100%, so 12/15 is closest to 1.

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3/8 of a pizza was shared among 3 persons. how much pizza would each person get?

NemiM [27]

1/8? I believe so ... yeah

8 0

3 years ago

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Find the distance between the points with the given coordinates (-8,-6),(4,10)

Serggg [28]

Hello from MrBillDoesMath!

Answer:

Discussion:

Let (x1,y1) = (-8, -6) and (x2,y2) = (4,10). Per the distance formula,

Distance = sqrt ( (x1-x2)^2 + (y1-y2)^2 ) so

Distance = sqrt ( (-8-4)^2 + (-6-10)^2 )

= sqrt( (12)^2 + (-16)^2 )

= sqrt( 144 + 256 )

= sqrt(400)

= 20

Thank you,

MrB

3 0

3 years ago

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Wheeler Company can produce a product that incurs the following costs per unit: direct materials, $10.30; direct labor, $24.30,

salantis [7]

Answer:

Incremental cost of buying = $2.50

Step-by-step explanation:

Cost per unit;

Direct materials = $10.30

Direct labor = $24.30

Overhead = $16.30

Total Overhead cost = 10.30 + 24.30 + 16.30

= $50.90

Where the item is purchased,

Total cost = $46.88 + (40% × 16.30)

= $46.88 + $6.52

= $53.40

Cost difference = $53.40 - $50.90

= $2.50

There is an incremental cost of buying. This amounts to $2.50

7 0

3 years ago

You are given the following equation.

saul85 [17]

Answer:

Step-by-step explanation:

Given the equation 4x²+ 49y² = 196

a) Differentiating implicitly with respect to y, we have;

$8x + 98y\frac{dy}{dx} = 0\\98y\frac{dy}{dx} = -8x\\49y\frac{dy}{dx} = -4x\\\frac{dy}{dx} = \frac{-4x}{49y}$

b) To solve the equation explicitly for y and differentiate to get dy/dx in terms of x,

First let is make y the subject of the formula from the equation;

If 4x²+ 49y² = 196

49y² = 196 - 4x²

$y^{2} = \frac{196}{49} - \frac{4x^{2} }{49} \\y = \sqrt{\frac{196}{49} - \frac{4x^{2} }{49} \\} \\$

Differentiating y with respect to x using the chain rule;

Let $u= \frac{196}{49} - \frac{4x^{2} }{49}$

$y = \sqrt{u} \\y =u^{1/2} \\$

$\frac{dy}{dx} = \frac{dy}{du} * \frac{du}{dx}$

$\frac{dy}{du} = \frac{1}{2}u^{-1/2} \\$

$\frac{du}{dx} = 0 - \frac{8x}{49} \\\frac{du}{dx} =\frac{-8x}{49} \\\frac{dy}{dx} = \frac{1}{2} ( \frac{196}{49} - \frac{4x^{2} }{49})^{-1/2} * \frac{-8x}{49}\\\frac{dy}{dx} = \frac{1}{2} ( \frac{196-4x^{2} }{49})^{-1/2} * \frac{-8x}{49}\\\frac{dy}{dx} = \frac{1}{2} ( \sqrt{ \frac{49}{196-4x^{2} })} * \frac{-8x}{49}\\\frac{dy}{dx} = \frac{1}{2} *{ \frac{7}\sqrt {196-4x^{2} }} * \frac{-8x}{49}\\$

$\frac{dy}{dx} = \frac{-4x}{7\sqrt{196-4x^{2} } }$

c) From the solution of the implicit differentiation in (a)

$\frac{dy}{dx} = \frac{-4x}{49y}$

Substituting $y = \sqrt{\frac{196}{49} - \frac{4x^{2} }{49} \\$ into the equation to confirm the answer of (b) can be shown as follows

$\frac{dy}{dx} = \frac{-4x}{49\sqrt{\frac{196-4x^{2} }{49} } }\\\frac{dy}{dx} = \frac{-4x}{49\sqrt{196-4x^{2}}/7} }\\\\\frac{dy}{dx} = \frac{-4x}{7\sqrt{196-4x^{2}}}$

This shows that the answer in a and b are consistent.

6 0

3 years ago

9. Simplify the following equation.<br> 100 =

Aneli [31]

Answer:

1 because 100/100 equals to 1/1 which that equals to 1

8 0

3 years ago