9514 1404 393
Answer:
k = -1
Step-by-step explanation:
Put the given value of x in the equation, and solve the resulting equation for k.
2(5 -3) +k(1 +2·5) = k - 5 - 1
2(2) +k(11) = k -6 . . . . simplify a bit
10k = -10 . . . . . . . . . . add -4-k to both sides
k = -1 . . . . . . . . . . . . . divide by 10
The value of k is -1.
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<em>Check</em>
Use k = -1 in the original equation and solve for x.
2(x -3) -(1 +2x) = -1 -x -1
2x -6 -1 -2x = -x -2 . . . . eliminate parentheses
x = 7 -2 = 5 . . . . . . add x+7; answer checks OK
Answer:
0.66666666666 as a decimal
How much is the decimal number 0.66666666666 written as (converted to) a percentage? Answer: 66.666666666%
The gcf of both 6 and 48 is 6. So, in simplest form, the ration would be: 1:6 or 1 hour:6 minutes :)
Subtract 9x from 23x yields 14x. This was done by subtracting algebraically the variables.
Answer:
B. A cow of 5 years is predicted to produce 5.5 more gallons per week.
Step-by-step explanation:
Let 
, where 
is the age of the dairy cow, measured in years, and 
is the predicted milk production, measured in gallons per week.
Besides, we consider 
and 
, such that 
, we define the difference between predicted milk productions (
) below:
(1)
If we know that 
and 
, then the difference between predicted milk productions is:
That is, a cow of 5 years is predicted to produce 5.5 more gallons per week than a cow of 10 years. Hence, the right answer is B.
