Answer:
The length is 7 m
The width is 10 m
Step-by-step explanation:
length = x
width = 2x - 4
length * width = area
It is given that the area is 70 
From there
x * (2x - 4) = 70
- 4x = 70
- 4x - 70 = 0
- 2x - 35 = 0
Now we have a quadratic equation, which is a + bx + c = 0, where a 
0
In this equation a = 1, b = -2 and c = -35
Discriminant (D) formula is b² - 4ac
D = 
- 4 * 1 * (-35) = 144 > 0
This discriminant is more than 0, so there are two possible x
Their formulas are 
and 
= 
= -5 < 0 (the length of the rectangle has to be more than 0, so we don't use this x)
= 
= 7 > 0 (this one is right)
Calculating the dimensions
length = x = 7 (m)
width = 2x - 4 = 2 * 7 - 4 = 10 (m)
So the train is pulling about 50 cars in total, and there's about 30 boxes of freight in each car.
30 x 50 = 1500
The best estimate would be near 1500 boxes of freight through the whole train.
9 divided by 3 = 3 3divided by 3 = 1 1 divided by 3 = 1/3 so 1/3 divided by 3=1/9
Answer:
Inequality Form: x < − 16
Interval Notation: ( −
8 , − 16 )
<h2>
Answer:</h2><h2>
The total cost (C) charged by the internet service provider = $65 + $18(n)</h2>
Step-by-step explanation:
Initial fee charged by the servic eprovider = $65
Cost per hour of labor for office internet installation = $18
The cost per hour be $18
Cost per two hours = 18 * 2 = $36
Cost per n number of hours = $18 (h)
where h represents the number of hours
The total cost (C) charged by the internet service provider = $65 + $18(n)
