Assuming that the bottle contained only herbal remedy, we have 120-54=66. 66/2=33 uses left
Answer:
C
Step-by-step explanation:
Using Pythagoras' identity in right triangle BPO
with PB = 4 ( half of AB ) and OB = 5 ( radius of circle )
OP² + 4² = 5²
OP² + 16 = 25 ( subtract 16 from both sides )
OP² = 9 ( take the square root of both sides )
OP = 
= 3
Answer:
6 cm
Step-by-step explanation:
A = 1/2(b + 12)(4)
36 = 1/2(b + 12)(4)
72 = (b + 12)(4)
18 = b + 12
18 - 12 = b
6 = b
or
b = 6 cm
Answer:
0.75 3/4, 0.30 3/10, 0.05 1/20
Step-by-step explanation:
25x3 is 75 but because its 75 cents its 0.75
and 3/4 means 0.75 (3 divided by 4 is 0.75)
10x3 is 30 but because its 30 cents its 0.30
and 3/10 means 0.30 (3 divided by 10 is 0.30)
1x5 is 5 and because its 5 cents its 0.05
and 1/20 means 0.05 (1 divided by 20 is 0.05)
Pair up the terms into separate groups. Then factor each group individually (pull out the GCF). Once that is finished, you factor out the overall GCF to complete the full factorization.
8r^3 - 64r^2 + r - 8
(8r^3 - 64r^2) + (r - 8)
8r^2(r - 8) + (r - 8)
8r^2(r - 8) + 1(r - 8)
(8r^2 + 1)(r - 8)
So the final answer is (8r^2 + 1)(r - 8)
--------------------------------------------------------------
Edit:
Problem 1b) Follow the same basic steps as in part A
28v^3 + 16v^2 - 21v - 12
(28v^3 + 16v^2) + (-21v - 12)
4v^2(7v + 4) + (-21v - 12)
4v^2(7v + 4) - 3(7v + 4)
(4v^2 - 3)(7v + 4)
The answer to part B is (4v^2 - 3)(7v + 4)
--------------------------------------------------------------
Second Edit:
I apologize for the first edit. I misread what you were asking initially. Here is problem 2A. We follow the same basic steps as in 1a) and 1b). You'll need to rearrange terms first
27mz - 12nc + 9mc - 36nz
27mz + 9mc - 12nc - 36nz
(27mz + 9mc) + (-12nc - 36nz)
9m(3z + c) + (-12nc - 36nz)
9m(3z + c) -12n(c + 3z)
9m(3z + c) -12n(3z + c)
(9m - 12n)(3z + c)
3(3m - 4n)(3z + c)
