Respuesta :
6.55 meters of fencing he installed on eachof the last three days
Further explanation
Fraction numbers are known as numerator and denominator
On a number line, fractions are expressed in points that lie between two integers
The general form of fractions is A /B
Decimal numbers can be changed into mixed or ordinary fractions
Mixed fractions consist of integers and ordinary fractions
Decimal numbers have numbers in the form of thousands. Hundreds, tens, thousandths, hundredths, tenths and ones
The results of the division of decimal numbers with numbers 10,100,1000, 10000 and so on can be determined by shifting the comma to the left according to the number of zeros
If you divide a decimal number, you try to make the divisor an integer
Total fencing/week = 42.6 meters
Monday + Tuesday = 13.45+9.5 meters = 22.95 meters
so for 3 days (Wednesday-Friday) = 42.6 - 22.95 = 19.65 meters
Then on eachof the last three days : 19.65 : 3 = 6.55 meters
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Keywords: fence, gardener, meters
The gardener installed the rest of the fence in equal lengths on Wednesday through Friday is [tex]\boxed{\bf 6.55\text{\bf\ meters}}[/tex].
Further explanation:
Given:
There is a gardener installed [tex]42.6\text{ meters}[/tex] of fencing in a week and he installed [tex]13.45\text{ meters}[/tex] on Monday and [tex]9.5\text{ meters}[/tex] on Tuesday. Then he installed the rest of the fence in equal lengths on Wednesday through Friday.
Calculation:
The total fencing in meters the Gardner installed is [tex]42.6\text{ meters}[/tex] and first we need to find first the remaining length [tex]L[/tex] for the rest three days as we have given for Monday he installed [tex]13.45\text{ meters}[/tex] and [tex]9.5\text{ meters}[/tex] on Tuesday, then to we have to subtract installed fencing on Monday and Tuesday form the total fencing he installed in a week that is [tex]42.6\text{ meters}[/tex] and it can be obtained as follows:
[tex]\boxed{\begin{aligned}L&=42.6-13.45-9.5\\&=19.65\end{aligned}}[/tex]
So, the remaining length for the last three days is [tex]19.65\text{ meters}[/tex].
As the rest of fence he installed is in equal length from Wednesday through Friday that means there are only three days remaining and the fences are divided in three equal length.
So, we have to divide the remaining fence [tex]19.65\text{ meters}[/tex] by [tex]3[/tex], to obtain the fence he installed in each day [tex]P[/tex] for the last three days, and it can be obtained as follows:
[tex]\boxed{\begin{aligned}P&=\dfrac{19.65}{3}\\&=6.55\end{aligned}}[/tex]
Therefore, he installed the rest of the fence in equal lengths on Wednesday through Friday is [tex]\boxed{\bf 6.55\text{\bf\ meters}}[/tex].
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Answer details:
Grade: Junior school
Subject: Mathematics
Chapter: Time and Distance
Keywords: Fencing, gardener, installed, 42.6 meters, length, Monday Tuesday, Wednesday, Friday, equal length, addition, division, numbers, rest of fence.