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grigory [225]
4 years ago
14

A construction crew has just finished a road. The crew worked for 2 4/5 days. If they built 3 2/7 kilometers of road each day, w

hat is the total length of road they built?
Mathematics
1 answer:
GuDViN [60]4 years ago
8 0

Answer: the total length of road they built is 9 1/5 kilometers.

Step-by-step explanation:

The total number of days that it took the construction crew to finish the road 2 4/5. Converting 2 4/5 days to improper fraction, it becomes 14/5 days.

If they built 3 2/7 kilometers of road each day, converting 3 2/7 kilometers to improper fraction, it becomes 23/7 kilometers.

Therefore, the total length of road that they built is

23/7 × 14/5 = 322/35 kilometers

Converting to mixed fraction, it becomes

9 1/5 kilometers

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Y=-3x+9<br> y=-x-5 <br><br> what is the solution for the system of equations?
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Our system of equations is:

y = -3x + 9

y = -x - 5


To solve this system of equations, we are going to use substitution. This means that we are going to substitute the second equation into the first equation since both are already solved for y in terms of x.


y = -3x + 9

-x - 5 = -3x + 9


Now, we must simplify by moving all of the constant terms to one side of the equation and all of the variable terms to the other side.


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2x - 5 = 9

2x = 14


Finally, to undo the multiplication between the coefficient 2 and the variable x, we must divide both sides by 2 to get the variable x alone.


x = 7


Next, we must substitute in this value we have solved for x into one of the original equations to solve for the other variable, y.


y = -3x + 9

y = -3(7) + 9


To simplify, we must multiply through the parentheses and combine like terms by addition.


y = -21 + 9

y = -12


Therefore, your final answer is x = 7 and y = -12, or as an ordered pair (7, -12).


Hope this helps!

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