Answer:
n + 6 = 3n
Step-by-step explanation:
n + 6 = 3n
6 = 3n -n
6 = 2n
n = 3
Answer:
d
Step-by-step explanation:
8/3
Answer:
(8,2)
Step-by-step explanation:
The solution is where the two graphs intersect.
The two graphs intersect at x=8 and y=2
(8,2)
Answer:

Step-by-step explanation:
1. Blue region. The boundary blue line passes through the points (0,-7) and (3,8), then its equation is

This line is solid, so the sign for the inequality should be with the notion "or equal to".
From the diagram you can see that the origin belongs to the blue region, then its coordinates satisfy the inequality. Thus,

2. Green region. The boundary green line passes through the points (6,-1) and (0,3), then its equation is

This line is solid, so the sign for the inequality also should be with the notion "or equal to".
From the diagram you can see that the origin doesn't belong to the blue region, then its coordinates satisfy the inequality. Thus,

3. The system of linear inequalities that represents these graphs is

Answer:
minutes.
Step-by-step explanation:
Let t represent time taken by cold water faucet in minutes to fill the tub.
Part of tub filled by cold water faucet in one minute would be
.
We have been given that it takes the hot water faucet 15 minutes to fill the tub by itself, so art of tub filled by hot water faucet in one minute would be
.
We are also told that left on together, the cold and hot water faucets of a certain bathtub take 5 minutes to fill the tub, so part of tub filled by both faucets in one minute would be
.
We can represent part of tank filled by both faucets in one minute as:








Therefore, it will take 7.5 minutes for the cold water faucet to fill the tub alone.