9a - 3(a - 6) = -6...distribute thru the parenthesis
9a - 3a + 18 = -6....subtract 18 from both sides
9a - 3a = -6 - 18 ...combine like terms
6a = - 24...divide both sides by 6
a = -24/6
a = - 4
1/16 = 10 minutes
10 minutes x 6 = 60 minutes
60 minutes = 1 hour
1/16 x 6 = 6/16
he would walk 6/16 in an hour
A is the answer
I used an app
We know that for each triangle made up by dashed line segment forms 30° angles, so, for example, ∠GOH is 30° and then ∠HOI is 30°
Rotating the shape 240° around the centre is the same as counting in 30°
The triangle GOH will first fit the triangle HOI then triangle IOJ and so on until it has completed 8 times 30° turn. Its final position is shown in the diagram below
The money was paid at an annual interest of 261.42%
Explanation:
- The initial amount of the guitar when it was loaned was $960. After a month the guitar cost $1,170. This means that in one month the price went from $960 to $1,170. Increase in cost = Difference between two costs = $1,170 - $960 = $210.
- To convert this into a percent we divide the difference in value by the original price and multiply the answer with 100 to convert it into a percentage. % increase in cost = difference between two costs / original cost % increase in cost = ($210 / $960) * 100 = 0.21785 * 100 = 21.785%
- This 21.875% was the monthly interest that was paid. To convert it into annual interest rate we multiply it with the 12 months.
- Annual interest rate = monthly interest rate * 12 = 21.785% * 12 = 261.42%. This means if the guitar was loaned for a year, you would have to pay $3469.44.