Answer: 235,000,000
Step-by-step explanation:
Two equations can be generated from the equation above, one for Package A and the other for Package B.
(Package A) 3x + 2y = 18
(Package B) 8x + 6y = 50
Solving simultaneously for the values of x and y gives, x = 4 and y = 3. Hence, each birthday card costs $4.
Answer:
a)

b) l=19.2 units
Step-by-step explanation:
a)Let F represent the force and l represents the length of the wrench handle.
Then inverse variation relation is:

When we introduce the variation constant, we get:

From the question when F=96, l=12


The equation is

b) If a person can only exert 60 pounds of force on a wrench,then



Hence the length of the wrench must be 19.2 units
Answer:
The solution of the system of equation is x = 3.5
Step-by-step explanation:
The given system of equation is;
f(x) = 3·x + 5 and g(x) = x + 12
To find the common solution, we equate the values of both functions as follows;
3·x + 5 = x + 12
We collect like terms;
3·x - x = 12 - 5
2·x = 7
x = 7/2 = 3.5
x = 3.5
Therefore, the solution of the system of equation is x = 3.5