Answer:
78 nickels and 22 dimes
Step-by-step explanation:
Nickels = n, Dimes = d
<u>Number of coins = 100</u>
<u>Total sum in the piggy bank = $6.60 </u>
<u>Consider the first equation in the second:</u>
- 5(100 -d) + 10d = 660
- 500 - 5d + 10d = 660
- 5d = 110
- d = 110/5
- d = 22
- n = 100 - 22
- n = 78
<u>Answer:</u> nickels 78 and dimes 22
42 :6 to the second power is 36 plus 6 is 42
125 = 5 * 5 * 5 = 5^3
Its a perfect cube.
Triangular sequence = n(n + 1)/2
If 630 is a triangular number, then:
n(n + 1)/2 = 630
Then n should be a positive whole number if 630 is a triangular number.
n(n + 1)/2 = 630
n(n + 1) = 2*630
n(n + 1) = 1260
n² + n = 1260
n² + n - 1260 = 0
By trial an error note that 1260 = 35 * 36
n² + n - 1260 = 0
Replace n with 36n - 35n
n² + 36n - 35n - 1260 = 0
n(n + 36) - 35(n + 36) = 0
(n + 36)(n - 35) = 0
n + 36 = 0 or n - 35 = 0
n = 0 - 36, or n = 0 + 35
n = -36, or 35
n can not be negative.
n = 35 is valid.
Since n is a positive whole number, that means 630 is a triangular number.
So the answer is True.
<h2>
Answer:</h2>
<u>, "six and one over two ft".</u>
<h2>
Step-by-step explanation:</h2>
Let's considerate the fact that the garden has a <u>square shape</u>.
<h3>1. Finding values of interest.</h3>
Amount of fence that the gardener already has: 
ft.
Length of one side: 
ft.
If one side measures ft, and the square garden has 4 sides of equal length, because it's a square, then we must multiply the measure of one side by 4 to find the total length of fence needed:
<h3>
2. How much more does he need?</h3>
The gardener already has , which equals 
. Hence, the difference between the amount needed and the amount that the gardeneralready has will give us the remaining amount required. Let's do that:
<h3>3. Express your result.</h3>
