Your Question:
Mark mailing a package that weighs 6 pounds. he adds a book to that package that weighs 2 pounds what is the percent increase in the weight of the package?
My Answer:
Two is one-third of six,
One divided by Three is 0.3333... ( etc. )
0.3333... • 100 = 33.3333... or <span>33.33%
Hope I helped
♥ James</span>
The reason you got it wrong is because you solved for the side a instead of the angle Z, which was what the question asked you to solve for. You can find Z by doing cos Z = 12/35, which will get you cos Z = 0.343, and Z will be equal to about 70º.
In 5 years, the ratio of their ages will be 5:1, so the difference in their ages will be 4 ratio units. Those 4 units correspond to 32 years, so each unit corresponds to 32/4 = 8 years.
Thus, in 5 years, Kate will be 8 and her father will be 40. Right now, Kate is ...
... 8 - 5 = 3 years old.
_____
<em>Using equations</em>
Let k represent Kate's current age. Then in 5 years Kate will be k+5, and we will have ...
... 5(k+5) = (k+5)+32 . . the relationship betewen their ages in 5 years
... 5k +25 = k +37 . . . . eliminate parentheses
... 4k = 12 . . . . . . . . . . . add -25-k
... k = 3 . . . . . . . . . . . . . divide by 4
Kate is 3 years old.