Hello!

To solve this equation, we need to isolate the variable on one side of the equation to see what it equals.

As you can see, 2.7 is added. To get it onto the other side and cancel it from the one side, you will subtract it from both sides as shown below. Note that because of the commutative property, we can switch the places of 2.7 and x.

x+2.7-2.7=17-2.7 (Note that 2.7=2.7 is 0 in this equation.
x=14.3

Our solution is x=14.3

I hope this helped you learn how to solve equations a bit better!

4 0

3 years ago

You are designing a 1000 cm^3 right circular cylindrical can whose manufacture will take waste into account. There is no waste i

asambeis [7]

Answer:

h /r = 2.55

Step-by-step explanation:

Area of a can:

Total area of the can = area of (top + bottom) + lateral area

lateral area 2πrh without waste

area of base (considering that you use 2r square) is 4r²

area of bottom ( for same reason ) 4r²

Then Total area = 8r² + 2πrh

Now can volume is 1000 = πr²h h = 1000/πr²

And A(r) = 8r² + 2πr(1000)/πr²

A(r) = 8r² + 2000/r

Taking derivatives both sides

A´(r) = 16 r - 2000/r²

If A´(r) = 0 16 r - 2000/r² = 0

(16r³ - 2000)/ r² = 0 16r³ - 2000 = 0

r³ = 125

r = 5 cm and h = ( 1000)/ πr² h = 1000/ 3.14* 25

h = 12,74 cm

ratio h /r = 12.74/5 h /r = 2.55

5 0

3 years ago