8x+(4*30)=6(6+30)
8x+120=6x+180
2x=60
x=30 pounds of coffee
<h3>
Answer:</h3>
- 21π(10)^2 – 21π(6)^2
- 2,100π – 756π
<h3>
Step-by-step explanation:</h3>
The volume of metal is the difference of the overall volume of the cylinder and the volume of the hole in it. The formula for the volume of a cylinder is ...
... V = π·r^2·h . . . . . radius r and height h
For the overall dimensions, the radius is half the diameter, so is 10 mm. The hole is said to have a radius of 6 mm. The overall "height" is 21 mm, so the volume in mm³ will be ...
... V_overall -V_hole = π(10)^2(21) -π(6)^2(21)
... = 21π·10^2 -21π·6^2 . . . . . . . matches the first selection
... = 2100π -756π . . . . . . . . . . . matches the third selection
... = 1344π . . . . . . . . . . . . . . . . doesnt' match any selection
Area=l*b=l*(l-2)=80(given)
so, l^2 - 2l =80
l^2 - 2l - 80=0
l=10 or -8
l=10,b=10-2=8
perimeter=2(l+b)=2(18)=36
Answer:
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Step-by-step explanation:
-24a^2 - 6a + 9
You don't want a negative in front of the variable that is being squared.
-1(24a^2 + 6a - 9)
-3(8a^2 + 2a - 3)
now we use the A C method. what two numbers multiply to equal A×C (8×-3) and add to be B (2)?
6 and -4
-3(8a^2 + 6a - 4a - 3) factor by grouping
-3(2a(4a + 3) -1(4a + 3))
-3(2a - 1)(4a + 3)
hope this helped C: