Answer:
Step-by-step explanation:
The anwser is C
the inverse of 5x is x/5 and the inverse of +4 is -4 so the answer would be x-4/5
Let volume of 4% solution = x and of 14% be y
them x + y = 65........(1) also using the actual weights of salt:-
0.04x + 0.14y = 65*0.06 = 3.9
multiplying the above equation by -25 we have
-x - 3.5y = -97.5 adding this to equation (1)
--2.5y = -32.5
y= 13
and x = 65 - 13 = 52
so we need 13 mls of the 14%, and 52 mls of the 4% solution.
Answer:
(gof)(-8) = 210
Step-by-step explanation:
(gof) = (-x + 8)² - 3(-x + 8) = 2
= x² - 16x + 64 + 3x - 24 + 2
= x² - 13x + 42
(gof)(-8) = (-8)² - 13(-8) + 42
= 64 + 104 + 42
= 210
Answer:
The distance from the base of the ladder to the base of the house is 10ft
Step-by-step explanation:
From the question, we can gather that the ladder makes a right angle shape with the wall of the house.
The length of this ladder which represents the hypotenuse of the right angled triangle is 26ft while the height of the house to the roof is 24ft
To calculate the distance between the base of the ladder and the base of the house, we shall be employing the use of Pythagoras’ theorem which states that the square of the hypotenuse equals the sum of the square of the 2 other sides
We have established that the hypotenuse is the length of the ladder which is 26ft
Let the distance we want to calculate be d
26^2 = 24^2 + d^2
d^2 = 26^2 -24^2
d^2 = 676 - 576
d^2 = 100
d = square root of 100
d = 10ft
