Answer:
£90
Step-by-step explanation:
Let M = Malachy's share
and P = Paul's share
and B = Brian's share.
We have three conditions:
(1) M = 2P
(2) P = 3B
(3) M + P + B = 150
Solve for B:
Substitute (2) into (3) (4) M + 3B + B = 150
(5) M + 4B = 150
Substitute (2) into (1) M = 2(3B)
(6) M = 6B
Substitute (6) into (5) 6B + 3B + B = 1 50
(7) B = 15
Solve for P:
Substitute (7) into (2) P = 3×15
(8) P = 45
Solve for M:
Substitute (8) into (1) M = 2×45
M = 90
Malachy gets £90.
Answer: a
Step-by-step explanation:
A is equal to 1
B is equal to 1
Yes they are the same because anything to the power of 0 is 1. When diving exponents you subtract them. 2-2= 0.
Answer:
1. 301.6
2. 576
3. 274.41
Step-by-step explanation:
We know that the diameter of one of the spheres must be 4 in, because the length of the box is 12 in and there are 3 spheres along each side, and . That means that the radius of a sphere is 2 in. Put 2 into the formula for the volume of a sphere, and then multiply your solution by 9, to get the total volume.
Then, you can find the volume of the box, because you know its dimentions are 12x12x4.
Subtract your answer for part 1 from your answer for part 2, and you have the solution to part 3. Hope this helps!! :-)
4th root of x^5
x^5 = x(x^4)
= x times 4th root x
last solution
the 5th root to the 5th power cancels out leaving -243