If there are 12 coins under the couch and every coin is either a nickel or a penny and together they are forming 32 cents then the equations which represent the problem will be x+y=12, 0.01x+0.05y=0.32. The correct option is B which is x+y=12, 0.01x+0.05y=0.32.
Given There are 12 coins and total money is 32 cents.
Let the number of pennies be x and the number of nickels be y.
According to question there are 12 coins so the first equation becomes:
x+y=12.
Then we have been told that together they amount to 32 cents.
We know that 1 penny is 1 cent coin and 1 nickel is 5 cent coin so the equation becomes :
1*x+5*x=32
x+5y=32
converting into dollar
0.01x+0.05y=0.32.
Hence the right equations showing the problem of nickel and pennies are x+y=12, 0.01x+0.05y=0.32.
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By taking a common denominator, we can find out that the simplified expression of the given expression is 
.
The given expression is -
---- (1)
We have to simplify the expression.
From equation (1), we have the given expression as -
Establishing common denominator 
, we have
Combining the numerator and common denominator, we have
Thus, the simplified expression of the given expression is which is obtained by taking a common denominator.
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Answer: x/y that is distance/ speed which is the formula for time
Step-by-step explanation:
The energy of the reaction is 9 kJ/mol and the reaction is endothermic.
<h3>What is the total energy of the reaction?</h3>
We know that in a reaction, there could be loss or gain of energy. If there is a loss of energy in a reaction, it means that the reaction is exothermic and heat is given out. If heat is gained in the reaction, it means that the reaction is endothermic and heat is absorbed.
Given that;
Energy of the products = 590 kJ/mol
Energy of the reactants = 581 kJ/mol
Using;
Energy of products - Energy of reactants
= 590 kJ/mol - 581 kJ/mol
= 9 kJ/mol
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