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Reil [10]
3 years ago
11

How many 1/3 are in 7/3?

Mathematics
2 answers:
lisabon 2012 [21]3 years ago
6 0

Answer:

7

Step-by-step explanation:

il63 [147K]3 years ago
5 0

Answer:

7

Step-by-step explanation:

The number over the denominator is the amount of thirds that are in the fraction; therefore, there are 7 thirds.

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kenny6666 [7]

Given:

The amount of profit, y, made by the company, is related to the selling price of each widget, x, by the given equation

y=-29x^2+1388x-10040

To find:

The maximum amount of profit the company can make, to the nearest dollar.

Solution:

If a quadratic equation is f(x)=ax^2+bx+c, then the vertex is

Vertex=\left(-\dfrac{b}{2a},f(-\dfrac{b}{2a})\right)

If a>0, then vertex is the minimum point and if a<0, then the vertex is the maximum point.

We have,

y=-29x^2+1388x-10040

Here, a=-29,b=1388, c=-10040. Clearly, a<0. So, the vertex is the point of maxima.

-\dfrac{b}{2a}=-\dfrac{1388}{2(-29)}

-\dfrac{b}{2a}=-\dfrac{1388}{-58}

-\dfrac{b}{2a}\approx 23.931

Putting x=23.931 in the given equation, we get

y=-29(23.931)^2+1388(23.931)-10040

y=-16608.09+33216.228-10040

y=6568.138

The vertex is at (23.931,6568.138).

Therefore, the maximum profit is $6568.138 when x=23.931.

5 0
3 years ago
Estimate the perimeter of the figure to the nearest whole number.
Brrunno [24]

Answer:

<u>The perimeter of the pentagon ≅ 19 units (approximately)</u>

Step-by-step explanation:

Clockwise, starting from the base of the pentagon, we have:

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  • 2nd side ≅ 3.75 units
  • 3rd side ≅ 3.75 units
  • 4th side ≅ 3.75 units
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In consequence,

Perimeter of the pentagon ≅ 4 + 3.75 + 3.75 + 3.75 + 3.75

<u>Perimeter of the pentagon ≅ 19 units</u>

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