Answer:
It's 40
Step-by-step explanation:
Arithmetic Sequence.
Common Difference:
160−163=−3
157−160=−3
d=−3
Explicit Formula:
an=a1+(n−1)d
a42=163+(41)(−3)
a42 = 40
Convert 1 3/5 to an improper fraction;
-1 × 5 + 3/5 ÷ -2/3
Simplify 1 × 5 to 5
-5 + 3/5 ÷ -2/3
Simplify 5 + 3 to 8
-8/5 ÷ -2/3
Use this rule: a ÷ b/c = a × c/b
-8/5 × 3/-2
Use this rule; a/b × c/d = ac/bd
-8 × 3/5 × - 2
Simplify 8 × 3 to 24
-24/5 × -2
Simplify 5 × -2 to -10
- 24/-10
Move the negative sing to the left
-(-24/10)
Simplify 24/10 to 12/5
-(-12/5)
Simplify brackets
12/5
Convert to a mixed fraction
<u>= 2 2/5</u>
Answer:
Answers are given in the attachment
hope it'll help you!
Answer:
1. Add 6 to both sides, cause that is the inverse of subtraction, so you get 5x = 50 as 6 cancels 6 out.
2. Divide 5 from both sides and get x = 10
Answer:
The answer to your question is Circumference = 81.64 ft
Step-by-step explanation:
Data
Area of a circle = 530.66 ft²
Circumference = ?
π = 3.14
Process
1.- Calculate the radius of the circle
Area = πr²
-Solve for r²
r² = Area / π
-Substitution
r² = 530.66 / 3.14
-Simplification
r² = 169
-result
r = 13 ft
2.- Calculate the Circumference
Circumference = 2πr
-Substitution
Circumference = 2(3.14)(13)
-Result
Circumference = 81.64 ft
