Answer: The area is 5024 yrd^2
Step-by-step explanation:
80 is the diameter to we need to divide it by 2 to find the radius
80/2= 40
A= 3.14* 40^2
A = 3.14 * 1600
A= 5024
Answer:
3x + y = -5
General Formulas and Concepts:
<u>Pre-Algebra</u>
- Distributive Property
- Equality Properties
<u>Algebra I</u>
Standard Form: Ax + By = C
Point-Slope Form: y - y₁ = m(x - x₁)
- x₁ - x coordinate
- y₁ - y coordinate
- m - slope
Step-by-step explanation:
<u>Step 1: Define</u>
[PS] y - 11 = 3(x - 2)
<u>Step 2: Rewrite</u>
<em>Find Standard Form</em>
- Distribute 3: y - 11 = 3x - 6
- Subtract 3x on both sides: -3x - y - 11 = -6
- Add 11 to both sides: -3x - y = 5
- Factor -1: -1(3x + y) = 5
- Divide -1 on both sides: 3x + y = -5
Let the cost of one cup of hot chocolate be = x
Let the cost of one cup of hot tea be = y
Paul paid $ 25.50 for 3 cups of hot chocolate and 4 cups of tea.
Equation becomes =
...(1)
As given, the cost of each cup of tea was 2/3 the cost of each cup of hot chocolate.
.... (2)
Putting the value of y from (2) in (1)

=
=
=
x=4.5

=
y =3
Hence each cup of hot chocolate is $4.50
Each cup of tea is $3.
Answer:
Step-by-step explanation:
This is an arithmetic sequence. Each term is 9 more than the preceding term.
The 25th term is 5+24*9 = 1085.
Sum of first 25 terms is 25(5+1085)/2 = 13625