The answer would be the second option B) because we can cross out A) and D) since those are multiplication, and it's not C) because that's commutative property, not associative.
128 : 3 :: w : 8 proportion
3w = (8)(128) product means/extremes
w = 341 ⅓ cars
If we let p and t be the masses of the paper and textbook, respectively, the equations that would best represent the given in this item are:
(1) 20p + 9t = 44.4
(2) (20 + 5)p + (9 + 1)t = 51
The values of p and t from the equation are 0.6 and 3.6, respectively. Thus, each paperback weighs 0.6 pounds and each textbook weighs 3.6 pounds.
Answer:
![\mathrm{Decimal:\quad }\:1.25219\\\frac{14\sqrt{5}}{25}](https://tex.z-dn.net/?f=%5Cmathrm%7BDecimal%3A%5Cquad%20%7D%5C%3A1.25219%5C%5C%5Cfrac%7B14%5Csqrt%7B5%7D%7D%7B25%7D)
Step-by-step explanation:
![\frac{\sqrt{121}+3}{\sqrt{125}}\\\sqrt{125}=5\sqrt{5}\\=\frac{\sqrt{121}+3}{5\sqrt{5}}\\\sqrt{121}=11\\=\frac{11+3}{5\sqrt{5}}\\\mathrm{Add\:the\:numbers:}\:11+3=14\\=\frac{14}{5\sqrt{5}}\\\mathrm{Rationalize\:}\frac{14}{5\sqrt{5}}:\quad \frac{14\sqrt{5}}{25}\\=\frac{14\sqrt{5}}{25}](https://tex.z-dn.net/?f=%5Cfrac%7B%5Csqrt%7B121%7D%2B3%7D%7B%5Csqrt%7B125%7D%7D%5C%5C%5Csqrt%7B125%7D%3D5%5Csqrt%7B5%7D%5C%5C%3D%5Cfrac%7B%5Csqrt%7B121%7D%2B3%7D%7B5%5Csqrt%7B5%7D%7D%5C%5C%5Csqrt%7B121%7D%3D11%5C%5C%3D%5Cfrac%7B11%2B3%7D%7B5%5Csqrt%7B5%7D%7D%5C%5C%5Cmathrm%7BAdd%5C%3Athe%5C%3Anumbers%3A%7D%5C%3A11%2B3%3D14%5C%5C%3D%5Cfrac%7B14%7D%7B5%5Csqrt%7B5%7D%7D%5C%5C%5Cmathrm%7BRationalize%5C%3A%7D%5Cfrac%7B14%7D%7B5%5Csqrt%7B5%7D%7D%3A%5Cquad%20%5Cfrac%7B14%5Csqrt%7B5%7D%7D%7B25%7D%5C%5C%3D%5Cfrac%7B14%5Csqrt%7B5%7D%7D%7B25%7D)
Hey there!!
How do we solve this problem :
We will use the combinations formula to solve this :
c ( n , r ) where n = 11 and r = 2
c ( n , r ) = n ! / r ! ( n - r ) !
... 11 ! / 2 ! ( 11 - 2 ) !
... 11! / 2! × 9!
... 11! / 2 × 9!
... 11×10×9×8×7×6×5×4×3×2 / 2×9×8×7×6×5×4×3×2
... 11×10 / 2
... 11 × 5
... 55 combinations.
Hence, the required answer = 55 , option ( d )
Hope my answer helps!