A. Judy made a mistake between Steps 1 and 2
To factor

, you have to factor it as

, not

, because that will leave an extra 6x because of 8x - 2x.
3u + 4u + 2u = 9u
9u = 90
1u = 90/9 = 10
since black is 2u ( from the ratio given)
2u = 10 x 2 = 20
Answer : 20cm of the pole is painted black.
The bar diagram is in the picture :)
It is a ratio problem...
2 dogs need 144 feet = 2 : 144
Simplify the ratio = 1 : 72
Multiply both sides by 8 (8 dogs) = 1*8 :144*8
Simplify the ratio = 8 : 1152
8 dogs need 1152 feet of fencing
Hope this helps!
1.)
Between year 0 and year 1, we went from $50 to $55.
$55/$50 = 1.1
The price increased by 10% from year 0 to year 1.
Between year 2 and year 1, we went from $55 to $60.50.
$60.50/$55 = 1.1
The price also increased by 10% from year 1 to year 2. If we investigate this for each year, we will see that the price increases consistently by 10% every year.
The sequence can be written as an = 50·(1.1)ⁿ
2.) To determine the price in year 6, we can use the sequence formula we established already.
a6 = 50·(1.1)⁶ = $88.58
The price of the tickets in year 6 will be $88.58.
try your best i dont understand it propely