Answer:
d
Step-by-step explanation:
Solution by substitution method
y=7x+8
∴y-7x=8
and y=x+20
∴y-x=20
Suppose,
-7x+y=8→(1)
and -x+y=20→(2)
Taking equation (1), we have
-7x+y=8
⇒y=7x+8→(3)
Putting y=7x+8 in equation (2), we get
-x + 7x + 8 = 20
6x = 20-8
6x = 12
x= 12 / 6
x = 2
substitute for x in equation (3)
y = 7(x) + 8
y = 7(2) + 8
y = 22
The answer is F.)
Approximately 50
Answer:
1.8 mph
Step-by-step explanation:
Speed of the steamer in still water is 18 mph.
Speed of the current = x mph.
1. The steamer going downstream traveled the distance between two ports in 3 hours. Traveling downstream the current "helps" the steamer, then the speed is 18 + x mph.
The distance traveled downstream = 3(18 + x) miles.
2. The steamer going upstream traveled the distance between two ports in 3 hours 40 minutes that is 
hours. Traveling upstream the current "interferes" the steamer, then the speed is 18 - x mph.
The distance traveled upstream 
miles.
3. The distances are the same, so
Solve this equation:
Answer: p < 24
Step-by-step explanation: I'm assuming you mean solving for P
1. We want to get p alone and the first step would be to subtract 4 from both side which will give us: ⅔p < 16
2. Next step would to be multiplying by 3 from both sides and doing this will cancel out the 3 in the denominator giving you: 2p < 48
3. Now we have to divide both sides by 2 and we are done which gives us:
<u>p < 24</u>
<u></u>
Don't forget if we were to be dividing by a negative the sign would flip
(for example: -2p < 6 = p > 3) this isn't used in this problem but just a reminder if you see this in future problems
