Answer:
9 nickels
Step-by-step explanation:
Changing a quarter to a nickel decreases the value of the sum by $0.20.
When all quarters are changed to nickels and vice versa, the total value will change by the number of excess quarters. That number is ...
($5.95 -3.35)/(0.20) = 2.60/0.20 = 13
The remaining change is made up of equal numbers of nickels and quarters. That amount of change is ...
$5.95 -13·0.25 = 2.70
A quarter and nickel together total $0.30, so there must be $2.70/$0.30 = 9 such pairs of coins.
There are 9 nickels and 22 quarters.
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If you don't want to reason through the problem, you can write equations. Let n and q represent the numbers of nickels and quarters, respectively. Then you have ...
0.05n + 0.25q = 5.95
0.25n + 0.05q = 3.35
Multiplying the second equation by 5 and subtracting the first gives ...
5(0.25n +0.05q) -(0.05n +0.25q) = 5(3.35) -(5.95)
1.20n = 10.80
10.80/1.20 = n = 9
The number of nickels is 9.
Correct question:
Evaluate and simplify the expression when a = 3 and b = 2,
given expression = 3b-2(1 - b)a - 2
Answer:
3b-2(1 - b)a - 2 at the given values is 10.
Step-by-step explanation:
Given;
3b-2(1 - b)a - 2
The expression is simplified as;
3b-2(1 - b) a - 2 = 3b - 2a(1 - b) - 2
= 3b - 2a + 2ab - 2
When a = 3 and b = 2; then, substitute these values in the simplified expression above;
3b - 2a + 2ab - 2 = 3(2) - 2(3) + 2(3 x 2) - 2
= 6 - 6 + 12 - 2
= 10
Therefore, 3b-2(1 - b)a - 2 at the given values is 10.
Answer:
-1/2
Step-by-step explanation:
hope this helps!
Answer:
181.65 miles for 10.5 gallons of gas
Step-by-step explanation:
