Answer:
Is shaded 5/8 of the area of the rectangle
Step-by-step explanation:
see the attached figure to better understand the problem
we know that
The area of triangle ABC represent 1/4 of the total area
The area of triangle CDE represent 1/8 of the total area
The shaded region is composed by one triangle equal to triangle ABC and three triangles equal to triangle CDE
so
The area of the shaded region is equal to

therefore
Is shaded 5/8 of the area of the rectangle
Answer: 10, 1/10, 2/5
Step-by-step explanation:
Answer:
61 yeas old
Step-by-step explanation:
180 is dividable by 3 evenly into 60. If you remove 1 from one of the 60's and add it to another 60, the order is now 59,60,61. So the oldest friend is 61 years old
The question involved the concept of combination because the order of the friends being picked are not considered. There are a total of 8 friends and 5 out of them are picked.
8C5 = 56
Therefore, there are 56 ways.
If the original volumes of liquid is represented by x, we have x=x for A and B. Since 120mL is poured from A to B, A loses 120 mL (x-120) and B gains 120 mL (x+120). Since we know that B contains 4 times as much liquid as A is now (x-120), we have 4*(x-120)=(x+120)=B. Using the distributive property, we get 4x-480=x+120. Adding 480 to both sides, we get 4x=x+600. After that, we can subtract both sides by x to get 3x=600. Lastly, we can divide both sides by 3 to get x=200=the original amount of liquid. Since A=x-120, we get A=200-120=80