Answer:
<em>The wide of the rectangle = 42 inches</em>
<em>The length of the rectangle = 43 inches</em>
Step-by-step explanation:
<u><em>Step(i):-</em></u>
Given that the length of the rectangle = 10x-7
Given that the width of the rectangle = 6x +12
The perimeter of the rectangle = 2(length + width)
Given that the perimeter of the rectangle = 170
<u><em>Step(ii):-</em></u>
2(length + width) = 170
length + width = 85
10x-7 +6x +12 =85
16x +5 = 85
16x = 85-5 = 80
x = 
x = 5
<u><em>Final answer:-</em></u>
<em>The length of the rectangle = 10(5)-7 = 50-7 = 43 </em>
<em>The wide of the rectangle = 6x +12 = 6(5) + 12 = 30+12 =42</em>
<u>the correct question is</u>
The denarius was a unit of currency in ancient rome. Suppose it costs the roman government 10 denarii per day to support 4 legionaries and 4 archers. It only costs 5 denarii per day to support 2 legionaries and 2 archers. Use a system of linear equations in two variables. Can we solve for a unique cost for each soldier?
Let
x-------> the cost to support a legionary per day
y-------> the cost to support an archer per day
we know that
4x+4y=10 ---------> equation 1
2x+2y=5 ---------> equation 2
If you multiply equation 1 by 2
2*(2x+2y)=2*5-----------> 4x+4y=10
so
equation 1 and equation 2 are the same
The system has infinite solutions-------> Is a consistent dependent system
therefore
<u>the answer is</u>
We cannot solve for a unique cost for each soldier, because there are infinite solutions.
For this case, the first thing you should do is define a variable.
We have then:
x: number of passengers remaining who can board the plane.
We have as data:
1) They can board up to 149 passengers
2) There are 96 passengers currently aboard.
Writing inequality we have:
Answer:
An inequality that can be used to determine how many more people can board is:
How many are there because there is no pic
