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.
1.
g(x) = 3 - x^2
g(-2) = 3 - (-2)^2 = 3 - 4 = -1
f(x) = 5x + 4
g(g(-2)) = f(-1) = 5(-1) + 4 = -1
2.
f(x) = 5x + 4
f(-2) = 5(-2) + 4 = -10 + 4 = -6
g(x) = 3 - x^2
g(f(-2)) = g(-6) = 3 - (-6)^2 = 3 - 36 = -33
Answer:
Mr. Esposito is taller By 8 inches
Step-by-step explanation:
5 feet and 11 inches is equal to 71 inches. And 71 inches is greater than 63 inches. Therefore, Mr. Esposito is taller.
(71-63=8)
DON'T FORGET TO DOUBLE-CHECK!
Surface area= 24 ft^2
A cube has 6 faces, so the surface area of 1 face would be 24/6, which is 4 ft^2.
The formula for the area of a square is l x w, but in a square both are equal so you're essentially squaring one side.
Therefore, the area of a square ( 4 ft^2 ) can be square-rooted in order to find the length of an edge.
= 2
Therefore, the length of 1 edge of the cube is 2 ft
(I think)
