Answer:
k=−0.8
Step-by-step explanation:
Start with the equation: 0.2(3k+1)=-0.4-(-0.2-0.1K)
Use distributive property on each side of the equation. For the left side, distribute 0.2 into 3k and 1, and for the right side, distribute -1 into -0.2 and -0.1k. (We use a -1 because the negative sign on the outside of the parenthesis is equivalent to -1)
(0.2)(3k) + (0.2)(1) = 0.6k + 0.2
(-1)(-0.2) + (-1)(-0.1k) = 0.2 + 0.1k
New equation: 0.6k + 0.2 = -0.4 + 0.2 + 0.1k
Now we can combine like terms on the right side. (-0.4 and 0.2)
0.6k + 0.2 = 0.1k - 0.2
Now to get rid of k on one side, we can subtract 0.1k from the right side.
(0.6k - 0.1k) + 0.2 = (0.1k - 0.1k) - 0.2
0.5k + 0.2 = -0.2
Now we need to get 0.5k by itself, so we'll subtract the 0.2 on both sides.
0.5k + (0.2 - 0.2) = (-0.2 - 0.2)
0.5k = -0.4
To get k by itself, we must divide both sides by 0.5.
(0.5k / 0.5) = (-0.4 / 0.5)
k = -0.8
Answer:
Step-by-step explanation:
So first rewrite the inside of the parentheses as improper fractions:
÷
Now simplify the inside:
÷ 2
Which is:
432
I know this bc if you do the equation is gonna be 3•8•2•9 then it will be 24•2•9 then it’s gonna be 48•9 to get 432 as your answer
If 14 of the 50 fish were trout, we can write this as a fraction; 14/50.
To get this into an easier-to-understand form, we can multiply both sides by 2, giving us a fraction of 28/100. This means that 28 out of 100, or 28% of fish, will be trouts, at least for a rough expectation.
From there, we can multiply 28%, the percentage of trout, by 7,500, the total amount of fish in the lake.
7,500 x 28% = 2,100
Therefore, we can roughly expect about 2,100 of the fish in the lake to be trout.
Hope this helps! :)
Answer:
C
Step-by-step explanation:
SinC is gotten from SOH
SIN=OPP/HYP
SIN=15/17