The half of the mixed fraction -2 3/8 as a fraction is -19/16.
A mixed fraction is a combination of a whole number and a proper fraction. It represents a quantity that is greater than one, with a fractional part that is less than the whole. For example, 2 3/4 is a mixed fraction, where 2 is the whole number and 3/4 is the proper fraction part. It is commonly used to express measurements, such as in cooking or in everyday life situations.
To find half of a mixed number like -2 3/8, we need to convert it to an improper fraction first.
The mixed number -2 3/8 can be written as an improper fraction as follows:
-2 3/8 = -((2 * 8) + 3)/8 = -19/8
Now, to find half of -19/8, we divide it by 2:
(-19/8) ÷ 2 = -19/16
Therefore, half of -2 3/8 as a fraction is -19/16.
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Answer:
A
Step-by-step explanation:
It takes 10 workers 5 days to complete a road repair when working 2 hours a day.
So, this becomes : man hours required to finish the work.
Given is, if 2 people work for 5 hours a day, then let the number of days to finish the road be = d
So, total man hours =
Now, or
Hence, it will take 10 days for 2 people working 5 hours daily, to complete the work.
It will take 10 days for 2 people working 5 hours a day to finish the road repair.
From the question;
10 workers can finish road repair in 5 days working 2 hours a day
We need to find;
The number of days required to complete the road repair by 2 workers working 5 hours a day.
Assuming the number of days required to complete the work is x
Number of working hours of 10 people is 10 hours ( 2 hours a day for 5 days)
Number of working hours of 2 people is 5x hours (5 hours a day for x days)
Note that; the number of workers or people is inversely related to the number of working hours.
Therefore;
Product of number of people and working hours or work done is a constant
Thus;
10 × 10 = 2 × 5x
100 = 10 x
x = 10
Therefore;
2 workers working 5 hours a day will require 10 days to complete the road repair.
Keywords: rate of work, number of hours, number of days required to complete the job.
Level: Middle school
Subject: Mathematics
Topic: Rate of work
both students chosen are boys? Show your work.
PLS HELPPPP
Answer:
it is more likely that both of the students will be boys because there are 14 boys and 8 girls. 14 is greater than 8. So, both of the students that are chosen will be boys,
Answer:
Step-by-step explanation:
The solution set of the equation 4x² - 25 = 0 is {±2.5}.
The given equation is a quadratic equation of the form ax² + bx + c = 0, where a = 4, b = 0, and c = -25. To find the solution set, we can use the quadratic formula:
x = (-b ± √(b² - 4ac)) / (2a)
Plugging in the values, we have:
x = (-0 ± √(0² - 4(4)(-25))) / (2(4))
Simplifying further, we have:
x = (±√(0 + 400)) / 8
x = ±√(400) / 8
x = ±20 / 8
Hence, the solution set of the equation is {±2.5}.
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The pieces of paper left would be 4.
Division is a process of splitting a number into two or more equal parts.
Given is that Jan has 500 pieces of paper she prints as many copies as possible of a 16 page report.
We can write that the number of pieces of paper left as the remainder of the division of 500 and 16. We can write that -
{p} = 500/16
{p} = 16 x 31 + 4
{p} = 4
Therefore, the pieces of paper left would be 4.
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