30= 3*10
30= 3*2*5
48= 12*4
48= 3*4*4
48= 3*2*2*2*2
60= 3*20
60= 3*10*2
60= 3*2*5*2
The GCF is 3*2 because all 3 numbers contain a 3 and a 2 in their prime factorizations.
Final answer: 6
Answer:
184
Step-by-step explanation:
edmund as a 2 by 2 cube
so samuel has a cuboid twice as long
2 x 2 = 4
3 times as wide
3 x 2 = 6
and 4 times as high
2 x 4 = 8
8 x 6 x 4 = 192 small cubes
but we are trying to find how much more samuel got
so 192 - 8 = 184
Answer:
x = 3
y = 0
z = 8
Step-by-step explanation:
a) 3x + 3y - z = 1
b) z = 8
c) -x -3y + 2z = 13
a) 3x + 3y - 8 = 1 (substitution)
a) 3x + 3y = 9
c) - x - 3y + 2(8) = 13 (substitution)
c) -x - 3y + 16 = 13
c) -x - 3y = -3
(3x + 3y = 9) + (-x -3y = -3)
= 2x = 6
x = 3
a) 3(3) + 3y - 8 = 1
9 + 3y - 8 = 1
y = (1 -9 + 8)/3
y = 0
Answer:
243.01.
Step-by-step explanation:
The first term (a) = 324.
The common ratio (r) = -108/324 = -1/3.
So sum of 9 terms is:
S(9) = 324 * (1 - (-1/3)^9) / ( 1 - (-1/3)
= 324 ( 1 - (-0.00005076)) / 4/3
= 324 * 1.00005076 / 1.33333
= 243.012.
