A composite number is divisible by other numbers, including 1 and itself.
Opposite of composite is prime, so we need to look for the PRIME number.
2 is a prime number because it is only divisible by 1 and itself(2).
Answer: 2
Volume of cube, V = edge^3
Let edge of cube#1 = (x-4) m, therefore volume of cube#1, v1 = (x-4)^3 m
Let edge of cube#2 = x m, therefore volume of cube#2, v2 = x^3 m
Diff. in volume (in m) = 1216 = v2-v1 = [ x^3 - (x-4)^3 ]
= x^3 - [(x-4)(x-4)(x-4)]
= x^3 - [<span>x^2 - 8x +16(x - 4)]
= </span> x^3 - [ x^3 - 12x^2 + 48x - 64 ]
= 12x^2 - 48x + 64
= 4 (3x^2 - 12x + 16)
Therefore 4 (3^2 - 12x + 16) = 1216
3x^2 - 12x + 16 = 1216/4 = 304
3x^2 - 12x - 288 = 0
3 (x^2 - 4x - 96) = 0
(x^2 - 4x - 96) = 0
(x - 12) (x + 8) =0
(x-12) = 0
Therefore x = 12 m
Edge of cube#2 = x m = 12m
Edge of cube#1 = (x-4) m = 8m
Hey there!
First you need to see how much you need to buy, and when you do 10 x 12 = 120.
So you need at least 120 feet to cover the wall.
Now you have to factor in the wall, when you do 3 x 3 (B x H) = 9.
Now do, 120 - 9 = 111.
So you need 111 square feet to cover the wall.
Hope this helps!
Solve both sides and check to see if the solutions match.
(10 • 2) = 20
20 • 3 = 60
Now check the other side:
(2 • 3) = 6
10 • 6 = 60
Compare the solutions:
60 = 60
This is true, so the answer is A. True.
Answer:
x=-7/12
Step-by-step explanation:
add the fractions
(-3/4+4/3)+a=0
(-9+16/12)+a=0
(7/12)+a=0
Transpose 7/12 to the right side so the signs will change it will become negative
a=-7/12
