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Kamila [148]
3 years ago
7

Pat's soccer team has 15 players. 2/3

Mathematics
1 answer:
Leona [35]3 years ago
6 0

Answer:

10

Step-by-step explanation:

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Please help me out I would appreciate it a lot.
ohaa [14]

Answer:

X = 30

Step-by-step explanation:

6x5=30

When I think

6 0
3 years ago
Find the height of a cone with a diamater of 12m whose value is 151 meters cubed, then round it to the nearest meter
Mariana [72]

Answer:

Height= 4m (nearest meter)

Step-by-step explanation:

\boxed{volume \: of \: cone =  \frac{1}{3} \pi {r}^{2}h }

Diameter= 2(radius)

Given that the diameter is 12m,

radius of cone

= 12 ÷2

= 6m

Let the height of the cone be h meters.

151 =  \frac{1}{3} \pi(6^{2} )(h)

151 = 12\pi h

h =  \frac{151}{12\pi}

h= 4.0054 (5 s.f.)

Thus, the height of the cone is 4m. (nearest meter)

7 0
3 years ago
A certain electronics manufacturer found that the average cost C to produce x DVD/Blu- ray players can be found using the equati
lilavasa [31]

Answer:

<em>The minimum average cost is $2.80 when 163 players are built</em>

Step-by-step explanation:

<u>Average Cost Function</u>

<em>We'll assume the given function as the total cost to produce x players, and NOT the average cost since that is a different definition, as shown below.</em>

The cost C to produce x DVD/Blu- ray players is given by the equation

C=0.03x^2-7x+800

The Average Cost function  is defined as

\displaystyle\bar  C=\frac{C}{x}

\displaystyle\bar  C=\frac{0.03x^2-7x+800}{x}

\displaystyle\bar  C=0.03x-7+\frac{800}{x}

To find the extreme value of the average cost, we must take the first derivative of the function

\displaystyle\bar  C'=0.03-\frac{800}{x^2}

Equating to 0

\displaystyle 0.03-\frac{800}{x^2}=0

Solving for x

\displaystyle x=\sqrt{\frac{800}{0.03}}

x=163

The second derivative is

\displaystyle\bar  C''=\frac{1600}{x^3}

For x=163 the second derivative is positive, thus x=163 is a minimum value. Let's compute the minimum average cost

\displaystyle\bar  C(163)=0.03\cdot 163-7+\frac{800}{163}

\displaystyle\bar  C(163)=2.80

The minimum average cost is $2.80

5 0
3 years ago
Mel is taking her holidays. She receives $2937.50. This includes her normal pay
galina1969 [7]
17.5% leaving load
You do 0.0175 divided by the money
$2937.50
———-
0.0175
8 0
4 years ago
What two numbers add to get -8 and multiply to get 12
Ivan

Answer:

-2 and - 6

Heres the answer to the question

7 0
3 years ago
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