Answer: m= -2
7(m+5) = 21
7m + 35 = 21
-35. -35
7m = -14
————-
7. 7
m = -2
Answer:
27.5 inches
Step-by-step explanation:
(68.1+11.2+x)/3=35.6
68.1+11.2+x=106.8
79.3+x=106.8
x=27.5
Answer:
Orginal Speed is 135
Step-by-step explanation:
The ratio of final speed: original speed is

We know that 90 km is it final speed so, we set up a proportion


Answer:
$34.49
Step-by-step explanation:
To figure out this problem, you would need to divide the total price by the total amount of items you are buying
In this case it is...
172.45/5
=34.49
So the price of each item is approx. $34.49
The maximum volume of the box is 40√(10/27) cu in.
Here we see that volume is to be maximized
The surface area of the box is 40 sq in
Since the top lid is open, the surface area will be
lb + 2lh + 2bh = 40
Now, the length is equal to the breadth.
Let them be x in
Hence,
x² + 2xh + 2xh = 40
or, 4xh = 40 - x²
or, h = 10/x - x/4
Let f(x) = volume of the box
= lbh
Hence,
f(x) = x²(10/x - x/4)
= 10x - x³/4
differentiating with respect to x and equating it to 0 gives us
f'(x) = 10 - 3x²/4 = 0
or, 3x²/4 = 10
or, x² = 40/3
Hence x will be equal to 2√(10/3)
Now to check whether this value of x will give us the max volume, we will find
f"(2√(10/3))
f"(x) = -3x/2
hence,
f"(2√(10/3)) = -3√(10/3)
Since the above value is negative, volume is maximum for x = 2√(10/3)
Hence volume
= 10 X 2√(10/3) - [2√(10/3)]³/4
= 2√(10/3) [10 - 10/3]
= 2√(10/3) X 20/3
= 40√(10/27) cu in
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