Answer:
<em />
- <em>It takes</em><u> 2.5 minutes </u><em>to fill the tank.</em>
Explanation:
The net speed or net rate for filling the 10-liters tank is equal to the speed the tap is filling less the speed the water is leaking through the hole located at the bottom of the tank:
- Net rate = rate of filling - rate of leaking
- Net rate = 5 liters/minute - 1 liter/minute
- Net rate = 4 liters/minute
Thus, consiedering the tank is empty at the beginning, the time is:
- Time = Volume of the tank / net rate of filling
- Time = 10 liters / (4liters/minute)
- Time = 2.5 minutes ← answer
Brad have 19 quarters and 27 nickels.
Step-by-step explanation:
Given,
Total worth of nickels and quarters = $6.10 = 6.10*100 = 610 cents
One quarter = 25 cents
One nickel = 5 cents
Let,
x represent the number of quarters.
y represent the number of nickels.
According to given statement;
25x+5y=610 Eqn 1
y = x+8 Eqn 2
Putting value of y from Eqn 1 in Eqn 2
Dividing both sides by 30
Putting x=19 in Eqn 2
Brad have 19 quarters and 27 nickels.
Keywords: linear equation, subtraction
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Since there were 6 slices, and he ate 1/3, 6*1/3= 2, so he ate 2 slices
Answer:
-9x^5(x+3)(x-7)
Step-by-step explanation:
factor out -9x^3 from the expression
Answer:
Read explain
Step-by-step explanation:
The steps taken to solve this system of equations would first be:
1. Sub 4x-2 into your first equation, 2x+5(4x-2)= 12 ->
2. Solve/simplify this equation to get x=1
3. Sub x=1 into your second equation and solve for y = 2
4. Get the solution (1,2)
