The integer number that represents the changing in his account balance from beginning to end is of -20.
<h3>Which numbers belong to the set of integer numbers?</h3>
Non-decimal numbers, either positive or negative numbers, also zero, belong to the set, which can be represented by:
Z = {..., -3, -2, -1, 0, 1, 2, 3, ...}
A change can be represented by the <u>final value subtracted by the initial value</u>. For this problem, we have that:
- The initial balance is of $20.
- The final balance is of $0.
Hence the change in the balance is:
0 - 20 = -20.
And the integer is -20.
More can be learned about integer numbers are brainly.com/question/17405059
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Answer:
16
Step-by-step explanation:
(6^4/3^2)/9=16
A conjuate is real numbers like the conjuate of x and y would be a real number
Answer:
10m x 15m
Step-by-step explanation:
You are given some information.
1. The area of the garden: A₁ = 150m²
2. The area of the path: A₂ = 186m²
3. The width of the path: 3m
If the garden has width w and length l, the area of the garden is:
(1) A₁ = l * w
The area of the path is given by:
(2) A₂ = 3l + 3l + 3w + 3w + 4*3*3 = 6l + 6w + 36
Multiplying (2) with l gives:
(3) A₂l = 6l² + 6lw + 36l
Replacing l*w in (3) with A₁ from (1):
(4) A₂l = 6l² + 6A₁ + 36l
Combining:
(5) 6l² + (36 - A₂)l +6A₁ = 0
Simplifying:
(6) l² - 25l + 150 = 0
This equation can be factored:
(7) (l - 10)*(l - 15) = 0
Solving for l we get 2 solutions:
l₁ = 10, l₂ = 15
Using (1) to find w:
w₁ = 15, w₂ = 10
The two solutions are equivalent. The garden has dimensions 10m and 15m.
Answer:
12
96
9
38
25
Step-by-step explanation:
<h3>i.a+7 for a=5</h3>
5+7=12
<h3>ii.8(c+3) for c =9</h3>
8(9+3)
8(12)
96
<h3>iii.n+8 divided by 4 for n=28</h3>
=28+8 divided by 4
=36 divided by 4
=9
<h3>iv.6p+40 divided by 5 for p =5</h3>
=6×5+40 divided by 5
=30+40 divided by 5
=70 divided by 5
=38
<h3>v.3x+7 for x=6</h3>
=3×6+7
=18+7
=25
