Answer:
This question requires us to change the subject of a formula. This can be achieved by following the order of operations in reverse. First, isolate the terms with our variable of interest, x:
ax - bx = z - y
Then, we take x out as it is being multiplied to both a and b:
x(a - b) = z - y
Dividing (a - b) on both sides, we get:
x = (z - y) / (a - b)
Thus, the answer is x= z-y/a-b
Step-by-step explanation:
160 is the answer after solving.
Answer:
The number of pounds of:
Decaffeinated coffee = x = 5 pounds
Regular coffee = y = 9 pounds
Step-by-step explanation:
A 14 -pound mixture of coffee that contains both decaffeinated and regular coffee costs $37. The decaffeinated coffee costs $2 per pound, and the regular coffee costs $3 per pound.
Let the number of pounds of:
Decaffeinated coffee = x
Regular coffee = y
Hence, our system of equations =
x + y = 14..... Equation
x = 14 - y
2x + 3y = 37....... Equation 2
We substitute 14 - y for x in Equation 2
= 2(14 - y) + 3y = 37
= 28 - 2y + 3y = 37
= - 2y + 3y = 37 - 28
= y = 9 pounds
Solving for x
x = 14 - y
x = 14 - 9
x = 5 pounds
Therefore,
The number of pounds of:
Decaffeinated coffee = x = 5 pounds
Regular coffee = y = 9 pounds
Answer:
a. No
b. 2.25 days
Step-by-step explanation:
0.75x + 3 = 0.25x + 5.25
a......................
Constants are $3 and $5.25 respectively
Topping costs $0.75 and $0.25 respectively
To have same cost the toppings number would be different as cost is different.
Suppose the number of toppings is x in one shop and y in the other, then the spending if same, we get this equation:
The answer is NO due to two different variables in the equation
b.......................
Constants are $3 and $5.25 respectively
Joseph adds $0.75 each day and Kelsey spends $0.25 each day
Number of days should be same in this case, so variable will be same and the result (amount left in bank) is same.
<u>So the equation for this case is:</u>
<u>Solving, we get:</u>
- 0.75x + 0.25x = 5.25 - 3
- x = 2.25
This is the solution to equation despite being a whole number.
Answer:
y=3x-2
Step-by-step explanation:
m=3 so using point-slope intercept form
y-4=3(x-2)
3x-6
+4 +4
y=3x-2
