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Kazeer [188]
3 years ago
5

Misha’s hamster weighed 0.845 kilograms. About how much does it weigh, rounded to the nearest hundredth?

Mathematics
2 answers:
eimsori [14]3 years ago
8 0

Answer: 0.85 kilograms

Step-by-step explanation:

Drupady [299]3 years ago
7 0
The answer is 0.84 kilograms
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10. George earns $455 per week. He receives a 20% raise. What is George's new weekly salary?
djverab [1.8K]

Answer:

$546

Step-by-step explanation:

455*.20=91  

91+455+546

8 0
3 years ago
Read 2 more answers
Which statement best reflects the solution(s) of the equation?
Inessa [10]

x=2 is only solution while x=1 is extraneous solution

Option C is correct.

Step-by-step explanation:

We need to solve the equation \frac{1}{x-1}+\frac{2}{x}=\frac{x}{x-1} and find values of x.

Solving:

Find the LCM of denominators x-1,x and x-1. The LCM is x(x-1)

Multiply the entire equation with x(x-1)

\frac{1}{x-1}+\frac{2}{x}=\frac{x}{x-1}\\\frac{1}{x-1}*x(x-1)+\frac{2}{x}*x(x-1)=\frac{x}{x-1}*x(x-1)\\Cancelling\,\,out\,\,the\,\,same\,\,terms:\\x+2(x-1)=x^2\\x+2x-2=x^2\\3x-2=x^2\\x^2-3x+2=0

Now, factoring the term:

x^2-2x-x+2=0\\x(x-2)-1(x-2)=0\\(x-1)(x-2)=0\\x-1=0\,\,and\,\, x-2=0\\x=1\,\,and\,\, x=2

The values of x are x=1 and x=2

Checking for extraneous roots:

Extraneous roots: The root that is the solution of the equation but when we put it in the equation the answer turns out not to be right.

If we put x=1 in the equation, \frac{1}{x-1}+\frac{2}{x}=\frac{x}{x-1}  the denominator becomes zero i.e

\frac{1}{1-1}+\frac{2}{1}=\frac{1}{1-1}\\\frac{1}{0}+2=\frac{1}{0}

which is not correct as in fraction anything divided by zero is undefined. So, x=1 is an extraneous solution.

If we put x=2  in the equation,

\frac{1}{x-1}+\frac{2}{x}=\frac{x}{x-1}

\frac{1}{2-1}+\frac{2}{2}=\frac{2}{2-1}\\\frac{1}{1}+1=\frac{2}{1}\\1+1=2\\2=2

So, x=2 is only solution while x=1 is extraneous solution

Option C is correct.

Keywords: Solving Equations and checking extraneous solution

Learn more about Solving Equations and checking extraneous solution at:

  • brainly.com/question/1626495
  • brainly.com/question/2959656
  • brainly.com/question/2456302

#learnwithBrainly

5 0
3 years ago
How many years will it take James to recover his investment?
My name is Ann [436]
I don’t think anyone knows this one not even James
6 0
3 years ago
The slope of the line that contains the points (2, -7) and (-2, 5) is -3. What is the y-intercept?
kramer

Answer:

C. -1

Step-by-step explanation:

Find the y intercept by plugging in the slope and a given point into the equation y = mx + b. Then, solve for b:

y = mx + b

-7 = -3(2) + b

-7 = -6 + b

-1 = b

So, the y intercept is -1.

The correct answer is C. -1

4 0
3 years ago
Ian's monthly allowance is $21. In January he starts saving for a birthday gift in June. Each month he saves of his allowance. T
Dmitrij [34]

Answer:

<h2>Ian will have enough money to buy the gift</h2>

Step-by-step explanation:

Step one:

given

monthly allowance= $21

from January to June= 6 months

total savings = 21*6= $126

cost of gift = $110

Step two:

Ian will have enough money to buy the gift

since he saved $126 which is greater than the cost of the gift of $110

he would have a balance of $16

4 0
3 years ago
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