Answer:
3^9x=3^-2x
Step-by-step explanation:
27^3x=(1/9)^x
3^3×3x=(1/3^2)^x
3^9x=3^-2x
You just add all the marbles which is 15 marbles. Then how many blue ones are there 3. So you just do blue out of the whole. So your answer is 3/15
Simplify the following:
(3 + 1/3)/(2 + 2/5)
Put 2 + 2/5 over the common denominator 5. 2 + 2/5 = (5×2)/5 + 2/5:
(3 + 1/3)/((5×2)/5 + 2/5)
5×2 = 10:
(3 + 1/3)/(10/5 + 2/5)
10/5 + 2/5 = (10 + 2)/5:
(3 + 1/3)/((10 + 2)/5)
10 + 2 = 12:
(3 + 1/3)/(12/5)
Put 3 + 1/3 over the common denominator 3. 3 + 1/3 = (3×3)/3 + 1/3:
((3×3)/3 + 1/3)/(12/5)
3×3 = 9:
(9/3 + 1/3)/(12/5)
9/3 + 1/3 = (9 + 1)/3:
((9 + 1)/3)/(12/5)
9 + 1 = 10:
(10/3)/(12/5)
Multiply the numerator by the reciprocal of the denominator, (10/3)/(12/5) = 10/3×5/12:
(10×5)/(3×12)
The gcd of 10 and 12 is 2, so (10×5)/(3×12) = ((2×5) 5)/(3 (2×6)) = 2/2×(5×5)/(3×6) = (5×5)/(3×6):
(5×5)/(3×6)
3×6 = 18:
(5×5)/18
5×5 = 25:
Answer: 25/18
Answer: w=5 , L= 2+2(5)=12
Step-by-step explanation:
L=2+2W
A= 60
LxW=60, now we will replace the L
(2+2W)(W)=60 we multiply
2w^2+2w=60
2w^2+2w-60=0 we divide by 2 the equation so we can work easier
w^2+w-30=0
find out w using the quadratic equation
we will get 2 solution,
w=5 and another solution is -6, which is not valid, as the side can not be negative
