Read the excerpt below and answer the question,
1 answer:
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Answer:
We need to find the lowest common divisor which is the smallest possible number that is dividable by ALL numbers.
We have the following numbers:
For the denominators (3, 3, 5, 5) the least common multiple (LCM) is 15.
LCM(3, 3, 5, 5) . Therefore, the least common denominator (LCD) is 15.
Rewriting the original inputs as equivalent fractions with the LCD:
125/15, 300/15, 75/15, 180/15
The correct answer is y=-x+4
Further explanation:
Given equation of line is:
Comparing it with the standard point-slope form
We get
y = -x+10
So
m = -1
As the new line is parallel to given line it will also have m=-1 as slope of two parallel lines is equal
For finding b, we will put the point and value of m in standard form
Hence the equation will be:
The correct answer is y=-x+4
Keywords: Slope, Equation of line, Point-slope form
Learn more about Point-slope form of equation of line at:
#LearnwithBrainly
To figure out the total amount of hours an employee works, we have to multiply the total amount of employees by the amount of hours each employee would work.
To simplify the mixed fraction of hours they work, convert the mixed fraction into an improper fraction:
Multiply the whole number by the denominator:
Add this number to the numerator to convert the mixed fraction into an improper fraction:
Now we can multiply the two numbers together (note that a whole number can be treated as the number above the denominator 1):
5 employees working 94/15 hours a day:
To simplify this fraction, divide the numerator by the denominator:
The whole number stays as a number, and the remainder is the new numerator:
The fraction can be further simplified by dividing both the numerator and denominator by the greatest common factor:
Factors of 5: {1,5}
Factors of 15: {1,3,5,15}
The 5 employees will work a total of 31 and 1/3 hours a day.
To simplify the mixed fraction of hours they work, convert the mixed fraction into an improper fraction:
Multiply the whole number by the denominator:
Add this number to the numerator to convert the mixed fraction into an improper fraction:
Now we can multiply the two numbers together (note that a whole number can be treated as the number above the denominator 1):
5 employees working 94/15 hours a day:
To simplify this fraction, divide the numerator by the denominator:
The whole number stays as a number, and the remainder is the new numerator:
The fraction can be further simplified by dividing both the numerator and denominator by the greatest common factor:
Factors of 5: {1,5}
Factors of 15: {1,3,5,15}
The 5 employees will work a total of 31 and 1/3 hours a day.