Answer:
75 minutes
Step-by-step explanation:
The rate at which the tank is filled up, F, and emptied, E, are respectively:
Since V is the full volume of the tank, the time required to fill the tank if both pipes are open is given by:
It will take 75 minutes to fill the tank if both pipes are open.
Answer:
Cost of each hat: $5
Cost of each mask: $3
Step-by-step explanation:
Let be "x" the cost in dollars of a party hat and "y" the cost in dollars of a mask.
Set up a System of equations using the information given in the exercise:
You can use the Elimination Method to solve this System of equations:
1. You can multiply the first equation by -1.
2. Then you must add the equations.
3. Solve for "y".
Then:
4. Now you can substitute the value of "y" into any original equation.
5. Finally, solve for "x" in order to find its value.
Then:
Answer:
B.) x=5
Step-by-step explanation:
Use the Pythagorean theorem. Since it isosceles, both values of x are the same. Split 6 in half (because perpendicular bisector).Insert values:
X is equal to 5.
Done.