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3 years ago

Out of 1,100 discs tested, 13 are defective. Estimate the number of defective discs in a batch of 41,000.

1 answer:

8 0

13/1,100 = x/ 41,000 (in English, this reads 13 out of 1,100 equals x out of 41,000) * by 41,000 and you get 41,000 x 13/1,100 = x
which is about 485

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<img src="https://tex.z-dn.net/?f=%20%5Csqrt%7B2x%7D%20%2B%2012%20%3D%20x%20%2B%208%20" id="TexFormula1" title=" \sqrt{2x} + 12

Helga [31]

First note that $x\ge0$ ; otherwise $\sqrt{2x}$ is undefined as long as we're only looking for real solutions.

We can write

$\sqrt{2x}+12=x+8$
$\sqrt{2x}=x-4$
$2x=(x-4)^2$
$2x=x^2-8x+16$
$x^2-10x+16=0$
$(x-8)(x-2)=0$

$\implies x=8,x=2$

4 0

3 years ago

What is 8% of 75?.?.?

alisha [4.7K]

Answer:

Step-by-step explanation:

(8:100) * 75

(8*75) : 100

600:100 = 6

4 0

3 years ago

(x3)(x-5)<br> Fududeey<br> X=2

Pepsi [2]

Answer:

-18 is the right answer..

4 0

3 years ago

Please help me get this answer right

Scilla [17]

Please help me get this answer right

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8 0

4 years ago

A school is preparing fruit baskets for a local nursing home. There are 162 apples, 108 oranges, and 180 bananas. If the baskets

kari74 [83]

To solve this exercise, we must calculate the Maximum Common Divisor (M.C.D.), which is the greatest common divisor of 62,108 and 180. We apply factor decomposition, and we obtain:

162= (3^4)(2)

108= (2^2)(3^3)

180= (2^2)(3^2)(5)

We choose the common numbers with their lowest exponent:

M.C.D.= (2)(3^2)

M.C.D.= 2x9

M.C.D.= 18

The greatest number of baskets that can be made is: 18 baskets

To know how many apples, oranges and bananas are in each basket, we must divide the greatest number of them that can be made between the total amount of apples, oranges and bananas, as shown below:

162/18= 9 apples

108/18= 6 oranges

180/18= 10 bananas

So, there are 9 apples, 6 oranges and 10 bananas in each basket.

3 0

4 years ago

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