Answer:
The number of
Quarters = q = 58 quarters
Nickels = n = 32 nickels
Step-by-step explanation:
It is important to note that:
A quarter is worth 25 cents = 0.25q
A nickel is worth 5 cents = 0.05n
George has only Quarters and nickels in his piggy bank.
Let the number of
Quarters = q
Nickels = n
He has a total of 90 coins.
Hence,
q + n = 90.... Equation 1
q = 90 - n
The value of the coins is $16.10.
Hence,
0.25q + 0.05n = 16.10....Equation 2
We substitute 90 - n for q in Equation 2
0.25(90 - n) + 0.05n = 16.10
22.5 - 0.25n + 0.05n = 16.10
Collect like terms
- 0.25n + 0.05n = 16.10 - 22.5
-0.2n = - 6.4
n = -6.4/-0.2
n = 32 nickels
Solving for q
q = 90 - n
q = 90 - 32
q = 58 quarters
Therefore, the number of
Quarters = q = 58 quarters
Nickels = n = 32 nickels
Answer:
20%
Step-by-step explanation:
First we find the actual dollar amount of the discount.
$65.50 - $52.40 = $13.10
Now we need to find what percent of $65.50 is $13.10.
To find what percent a part is of the whole, divide the part by the whole and multiply by 100%.
percent = part/whole * 100%
percent = $13.10/$65.50 * 100% = 20%
Answer: 20%
2:10 6:30 8:40 has a ratio of 1:5. How I did it was to divide the first number by the second number to get 1:5
Line A
y = x - 2
Line B
y = 3x + 4
If we equate those 2 equations
x - 2 = 3x + 4
2x = -6
x = -3
y = -5
so the answer is
<span>(−3, −5), because the point satisfies both equations</span>
The value of x would be 6.7, just do 6.3+5.6+8.4=20.3 27-20.3=6.7! Hope it helps