To solve this problem, let us say that the action of
totally painting a small house is called “1 job”. Therefore the rates of each
person in painting the small house are:
Bill = 1 job / 3 days = 1 / 3
Sharon = 1 job / 4 days = 1 / 4
Wilber = 1 job / 5 days = 1 / 5
Therefore the total rate is calculated by simply adding
the rates of the three.
(1 / 3) + (1 / 4)
+ (1 / 5) = 1 / x
where x is the number of hours it take if all them paint
together
Calculating for by multiplying both sides by 60:
60 [(1 / 3) + (1 /
4) + (1 / 5) = 1 / x]
(60/3) + (60/4) + (60/5) = 60 / x
20 + 15 + 12 = 60 / x
47 = 60 / x
x = 60 / 47 hours
Answer:
60/47 hours
Answer:
Step-by-step explanation:
(a - b)² = a² - 2ab + b²
(x -4)² - (x - 4)(x +3) = 35
x² - 8x + 16 - [ x(x +3) - 4(X +3)] = 35
x² - 8x + 16 - [x² + 3x - 4x - 12 ] = 35
x² - 8x +16 - [ x² -x - 12] = 35
x² - 8x + 16 -x² + x + 12 = 35
<u>x² - x²</u> <u> - 8x + x</u> + <u>16 + 12</u> = 35 {Combine like terms}
-7x + 28 = 35
-7x = 35 -28
-7x = 7
x = 7/-7
x = -1
P=$5000
R=22.5
T=5yrs
I=PxRxT= 5000x22.5x5=50x22.5=1125x5=5625
———= ———————
100 =. 100
The answer is $5625
Pythagorean's theorem says the hypotenuse of a triangle is A^2+B^2=C^2 in this case I'll put the L,W, and D so it's easy to understand. L^2+W^2=D^2 is the exact same formula as above and is how we will solve this. (30^2)+(10^2)=1000 then we take the square root since 1000=D^2, and we get 36.62 as D.
