Answer:
5.6 quarts
Step-by-step explanation:
x + .15(8) = .50(8+x)
x + 1.2 = 4
.50x + 1.2 = 4
.50x = 2.8
x = 2.8/.50
x = 5.6 quarts
There are 6 children total, 4 of which are girls. The ratio is 2:1 girls:boys, so there will need to be twice as many pinks as there are blues. If we get 12 pinks, then there will be 6 blues. That's the biggest since that's all the pinks the florist has.
You can see how the difference between two consecutive terms is constantly increasing:




So, for the next terms we'll have to add +9, +11, +13 and so on.
Also, note that
is obtained by adding the 2nd odd number to
,
is obtained by adding the 3rd odd number to
, and so on.
So, the recursive formula is

For the explicit formula, recall that the sum of the first n odd numbers is n squared. Taking into account the fact that we're not starting from 1, we have

Answer:

Step-by-step explanation:
If the figures are similar, then the angles are the same. So that means that angle H is equal to angle D (you can count he little arcs in the angle to find it's matching partner). Since this is true:

Which is the same as
. Solve for x by dividing both sides by 4:

Finito.
Rise over run so it would be 5 over -2.5 ?? I could be wrong:((