Suppose that you want to mix two coffees in order to obtain 100 pounds of a blend. If x represents the number of pounds of coffe
1 answer:
Answer:
Therefore, the algebraic exp
Step-by-step explanation:
Given : x represents the number of pounds of coffee A.
The total weight of the mix of coffee A and coffee B = 100 pounds.
Then , we have the following expression to represents the number of pounds of coffee B:-
Therefore, the algebraic expression that represents the number of pounds of coffee B. :-
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Part A: Option e:
Option f:
Part B: Option c:
Option d:
Part C: Option a:
Option b:
Explanation:
Part A: The equation is
Simplifying, we have,
Taking the term 5 common out, we have,
Thus, the above two expressions are equivalent to the equation .
Hence, Option e and Option f are the correct answers.
Part B: The equation is
Taking the term 15 common out, we have,
Also, the equation can be rewritten as,
Thus, the above two expressions are equivalent to the equation
Hence, Option c and Option d are the correct answers.
Part C: The equation is
Multiplying, we have,
The above expression can be rewritten as,
Thus, the above two expressions are equivalent to the equation
Hence, Option a and Option b are the correct answers.
Answer:
The standard deviation of the number of rushing yards for the running backs that season is 350.
Step-by-step explanation:
Consider the provided information.
The mean number of rushing yards for the running backs that season is 790 yards. One running back had 1,637 rushing yards for the season, which is 2.42 standard deviations above the mean number of rushing yards.
Here it is given that mean is 790 and 1637 is 2.42 standard deviations above the mean.
Use the formula:
Here z is 2.42 and μ is 790, substitute the respective values as shown.
Hence, the standard deviation of the number of rushing yards for the running backs that season is 350.
The value of constant of variation "k" is
<em><u>Solution:</u></em>
Given that the direct variation is:
y = kx ----- eqn 1
Where "k" is the constant of variation
Given that the point is (5, 8)
<em><u>To find the value of "k" , substitute (x, y) = (5, 8) in eqn 1</u></em>
Thus the value of constant of variation "k" is