Answer:
x = 10 - 2y
Step-by-step explanation:
The question is telling you to express x in terms of y. Essentially, you solve the given equation(s) for x.
x can be found from the first equation by subtracting 2y from both sides:
x = 10 - 2y
_____
When there are infinitely many solutions, either x or y can be arbitrarily chosen, and the appropriate value computed for the other variable.
Here, the answer is telling you "type an expression using y as the variable as needed." That is, y is selected to be the variable arbitrarily chosen, and we need an expression that will tell us the corresponding value of x. The appropriate expression is found by rearranging the equation(s) to "make x the subject". (I call that process "solve the equation for x.")
Answer: 1 27
2. 54
9 243
10. 270
Step-by-step explanation: for one batch, the total minutes will be 15 + 12, so 27. Multiply 27 times b, the number of batches.
There may be another solution IF he is starting to prepare the next batch while the preceding is in the oven. Since this is not stated, I won't offer that solution here.
YOU SHOULD MAKE MORE RICE
3x's more rice!
Answer:
y = 0.15x+77 is the equation linear connecting total cost y and miles driven x
Step-by-step explanation:
Given that the leasing company charged a flat rental fee for the week, plus a charge for each mile driven.
Let flat rental fee be c and cost per mile driven = m and miles driven = x
Total cost =y
Then y = mx+C is the linear equation.
to find m and c, we use the fact that y =110.30 when x = 222
i.e. 110.30 = c+222x
and similarly 99.05 = c+147x
Subtract to eliminate c
11.25 = 75 x
0.15 =x
Substitute in I equation
110.30 = c+222(0.15)
c = 77
y = 0.15x+77 is the equation linear connecting total cost y and miles driven x
Answer:
3 ; 4/3
Step-by-step explanation:
x + 4(1/x) = 13/3
x + 4/x = 13/3
x^2 -13/3x + 4 = 0
3x^2 - 13x + 12 = 0
Δ = 169 - 144 = 25
x1 = (13 + 5)/6 = 3
x2 = (13-5)/6 = 4/3
