SOLUTION - GIVEN = Sara has two bag with 60% & 28% peanut.
prove = How much the peanut is used to make 10 pound of 45%
peanut.
TO PROOF - Assume that
let x be the value of the peanut used by sara from the bag
60% peanut bag.
let ( 10 - x) be the value of peanut used by sara from 28% peanut
bag.
as given the bag become of the 10 pound which contain
45% of peanunt.
thus we have
0.60x + 0.28 ( 10 - x ) = 0.45 (10)
0.60x + 0.28 ( 10 -x ) = 4.5
0.60x + 2.8 - 0.28 x = 4.5
0.60x - 0.28x = 4.5 - 2.8
0.32x = 1.7
x = 5.3125 peanut is taken from the 60% bag.
& 4.6875 peanut from the 28% bag.
Log₂(6x) - log₂(√x) = 2
log₂[6x/√x] = 2, let's rewrite it in terms of exponent:
(remember : ㏒₂(x) = a (in exponential form) → x = 2ᵃ
6x/√x = 2²
6x/√x = 4, square both sides:
36x²/x = 16 .Simplify:
36x = 16 and x = 16/36 . So x = 4/9
You would take 175 and multiply it by 0.20 which is 35. The you would subtract 35 from 175 because it is marked down so you would get 140. Next, you would take 140 and multiply it by 0.10 and get 14. Finally subtract 14 from 140 to get your answer which would be $126.
Answer:
4 yards long
Step-by-step explanation:
John's garden is 12 ft long and 3 ft go into a yard. With this information you then divide 12 by 3 to see how many yards would go into the 12. 12/3=4