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2 years ago

X^2 - 25 = 25 solve for x

Mathematics

1 answer:

Nezavi [6.7K]2 years ago

3 0

Answer:

$\tt x=\pm5\sqrt{2}$

Step-by-step explanation:

$\tt x^2 - 25 = 25$

$\tt x^2-25+25=25+25$ (Add 25 to both sides)

$\tt x^2=50$ ( Take square of both sides)

$\tt x=x=\sqrt{50},\:x=-\sqrt{50}$

$\tt x=\pm5\sqrt{2}$

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Morgan uses 1/4 of her supply of raisins to make a trail mix and 3/8 of her supply of raisins to make cookies.If Morgan uses 5 p

Elden [556K]

1/4=25%
3/8=37.5%
37.5%+25%=62.5%
62.5%=0.625
5/0.625=8
Morgan has 8 pounds of raisins in her supply.

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2 years ago

A quality-control engineer samples 100 items manufactured by a certain process, and finds that 15 of them are defective. True or

goldenfox [79]

Answer: b) The probability that an item produced by this process is defective is likely to be close to 0.15, but not exactly equal to 0.15.

Step-by-step explanation:

Given that:

Number of samples = 100

Number of defective samples = 15

Proportion =number defective samples / total samples

P = 15 / 100 = 0.15

Hence, the probability that an item produces is defective is 0.15.

However, due to sampling Variations, the probability will be corrected for these variations. Hence, probability that an item produced by this process is defective is likely to be close to 0.15, but not exactly equal to 0.15.

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2 years ago

Reverse the two digits of my age, divide by three, add 20, and the result is my age. How many years old am I

lapo4ka [179]

Answer:

48 years old.

Step-by-step explanation:

Let the age be xy or 10x + y.

Reverse the two digits of my age, divide by three, add 20, and the result is my age, convert this to equation:

(10y + x)/3 + 20 = 10x + y
(10y + x)/3 = 10x + y - 20
10y + x = 3(10x + y - 20)
10y + x = 30x + 3y - 60
30x - x + 3y - 10y = 60
29x - 7y = 60

We should consider both x and y are between 1 and 9 since both the age and its reverse are 2-digit numbers.

Possible options for x are:

29x ≥ 7*1 + 60 = 67 ⇒ x > 2, at minimum value of y,

and

29x ≤ 7*9 + 60 = 123 ⇒ x < 5, at maximum value of y.

So x can be 3 or 4.

29*3 - 7y = 60
87 - 7y = 60
7y = 27
y = 27/7, discarded as fraction.

29*4 - 7y = 60
116 - 7y = 60
7y = 56
y = 8

So the age is 48.

6 0

11 months ago

X/2-1/5=x/3+1/4<br>solve this equation

Alekssandra [29.7K]

Answer:

$x=\frac{27}{10}$

Step-by-step explanation:

$\frac{x}{2}-\frac{1}{5}=\frac{x}{3}+\frac{1}{4}$

$\frac{x}{2}-\frac{1}{5}-\frac{x}{3}=\frac{x}{3}+\frac{1}{4}-\frac{x}{3}$

$-\frac{1}{5}+\frac{x}{6}=\frac{1}{4}$

$-\frac{1}{5}+\frac{x}{6}+\frac{1}{5}=\frac{1}{4}+\frac{1}{5}$

$\frac{x}{6}=\frac{9}{20}$

$\frac{6x}{6}=\frac{9\times \:6}{20}$

$x=\frac{27}{10}$

3 0

2 years ago

Read 2 more answers

A set of five distinct positive integers has a mean of $1000$ and a median of $100$. What is the largest possible integer that c

mixer [17]

Answer:

e = 4796

Step-by-step explanation:

given,

mean of five distinct positive number = 1000

median of the number = 100

100 is median means two number will be less than 100 and two number will be greater than 100.

let five number be

a , b, c, d, e

'e' should be the largest number

As 100 is median so 'c' = 100.

'a' and 'b' should be as small as possible and d should be the number nearest to 100.

As all the number are distinct so the least number be equal to 1 and 2

now d will be equal to 101 (nearest to 100)

now,

sum of the five number = 5 x 1000 = 5000

a + b + c + d + e = 5000

1 + 2 + 100 + 101 + e = 5000

e = 5000 - 204

e = 4796

hence, the largest number will be equal to e = 4796

7 0

2 years ago