Answer:
n = nickels, q = quarters
Equation 1: n+q=30
Equation 2: 0.05n+0.25q = 3.30
Step-by-step explanation:
From equation 1, n = 30-q
Substitute in Equation 2:
0.05(30-q) + 0.25q = 3.30
1.5 - 0.05q + 0.25q = 3.30
0.2q = 1.8
q = 9
Substitute in new equation:
n = 30-9
n = 21
It is important to note a nickel is worth 5 cents and a quarter is 25 cents. This helps us build the equations.
Answer:
(-8, 6)
Step-by-step explanation:
Reflecting across x axis = (x, -y)
-(-6) = 6
Vol of sphere =4/3πr³
let the radius of cone be x.
vol of cone =1/3πx²h
when h=r, =1/3πrx²
since they have the same volume,
4/3πr³=1/3πrx²
4πr³=πrx²
x²=4r²
x=2r (radius)
The equations a = n, b = 2n + 6 and c = n² - 1 are polynomials, and the expression for ab - c is n² + 6n + 1
<h3>How to determine the expression for ab - c?</h3>
The polynomials are given as:
a = n
b = 2n + 6
c = n² - 1
The expression ab - c is calculated using:
ab - c = n * (2n + 6) - (n² - 1)
Expand
ab - c = 2n² + 6n - n² + 1
Collect like terms
ab - c = 2n² - n² + 6n + 1
Evaluate
ab - c = n² + 6n + 1
Hence, the expression for ab - c is n² + 6n + 1
Read more about polynomials at:
brainly.com/question/4142886
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