9. ¹/₃(x + 6) = 8
¹/₃(x) + ¹/₃(6) = 8
¹/₃x + 2 = 8
<u> - 2 - 2</u>
3 · ¹/₃x = 6 · 3
x = 18
15. ¹/₅(x + 10) = 6
¹/₅(x) + ¹/₅(10) = 6
¹/₅x + 2 = 6
<u> - 2 - 2</u>
5 · ¹/₅x = 4 · 5
x = 20
20. ¹/₈(24x + 32) = 10
¹/₈(24x) + ¹/₈(32) = 10
3x + 4 = 10
<u> - 4 - 4</u>
<u>3x</u> = <u>6</u>
3 3
x = 2
32. 5 - ¹/₂(x - 6) = 4
5 - ¹/₂(x) - ¹/₂(-6) = 4
5 - ¹/₂x + 3 = 4
5 + 3 - ¹/₂x = 4
8 - ¹/₂x = 4
<u>- 8 - 8</u>
-2 · (-¹/₂x) = -4 · (-2)
x = 8
33. ²/₃(3x - 6) = 3
²/₃(3x) - ²/₃(6) = 3
2x - 4 = 3
<u> + 4 + 4</u>
<u>2x</u> = <u>7</u>
2 2
x = 3¹/₂
You want to calculate the interest on $2000 at5.8% interest per month after six years?
Here is your formula: I =p*r*t
P is the principal amount which is $2000
R is the rate of interest which is 5.8% per month
T is the time involved whihc is six years
You’re interest is 8352.00
Answer:
4.4mm
Step-by-step explanation:
Circumference of circle
2 Pi r
Diameter of coin = 22mm
Therefore the radius = 11mm
Therfroe the outer edge (circumference)
= 2 Pi r
= 2 x Pi x 11
=69.11mm
For the inner edge
Diameter = 5
Radius = 2.5
Therefroe inner edge (circumference)
= 2 Pi r
= 2 x Pi x 2.5
= 15.7mm
The difference is
69.11 - 15.7
=4.4mm
Answer:

Step-by-step explanation:
The original questions is suppose an ant walks counterclockwise on a unit circle from the point (1,0) to the endpoint of the radius that forms an angle of 240 degrees with the positive horizontal axis.
To find the distance ant walked we find the arc length of the sector with central angle 240 degree and radius =1 (unit circle)
arc length of a sector =
arc length of a sector =
arc length of a sector =

Answer:
$1.80
Step-by-step explanation:
4x = 7.20
x = 1.80