The expression
can be simplified,
.
Hope this helps.
1 and a half buckets of paint (6/4 buckets). Lucy has to paint 8 doors, and 3/4 of a bucket of paint is needed for 4 doors. She needs 2 × 3/4 buckets of paint. Therefore, she needs 6/4 buckets. As a mixed number is is 1 and 1/2.
Alright, so if the red jelly beans are x and the yellow jelly beans are y, then
(3/4)y=x. In addition, (4/5)(y-6)=x-3. Plugging 3y/4 into the equation, we get
4y/5-24/5=3y/4-3. Adding 24/5 to both sides and subtracting 3y/4 from both, we get 4y/5-3y/4=24/5-3. Multiplying 4y/5 by 4/4, 3y/4 by 5/5, etc to get a denominator of 20 we get 16y/20-15y/20=96/20-60/20. Multiplying both sides by 20, we get 16y-15y=96-60 and y=36
Try drawing the triangles: the original and the dilated one.
If the tangent of x is 4/3, and then all lengths of the original triangle are doubled, then the tangent of x is 8/6 = 4/3. Thus, B is the correct answer.