Answer:
Step-by-step explanation:
There are a couple of things to know before we set up the table for this problem. First, we need to remember that if the boat is traveling against the current, that the current is going to slow the boat down; likewise, going with the current will speed the boat up. Second, we need to realize that if the boat's distance against the current is the same as the distance with the current, then the distances in the equations will be set equal to one another.
Set up the table with U (against the current) and D (with the current) on the outside and fill in what we are given:
d = r x t
U
D
This is the table. Now we will fill it in:
d = r x t
U r - 3 x 3
D r + 3 x 1.8
The formula for the distance equation is at the top of the table as d = rt. We already decided that the distances that the boat traveled upstream and downstream were the same so we will set those d values equal to each other, but we first need to get the d value for each row. If distance = rate times time, then for the first row:
d = (r - 3)3 and
d = 3r - 9. For the second row:
d = (r + 3)1.8 and
d = 1.8r + 5.4. Setting them equal to each other:
3r - 9 = 1.8r + 5.4 and
1.2r = 14.4 so
r = 12 mph
Answer:
x+0.05x=3.15 which has one solution
Step-by-step explanation:
Complete question below:
Joshua sells a pack of pens for 3.15 which is 5 percent more than he pays for them. which equation will help find x, the amount he pays for a pack of pens? how many solutions will this equation have? x+0.05x=3.15, which has infinitely many solutions x+0.5x=3.15, which has one solution x+0.05×=3.15 which has one solution 0.05×=3.15, which has no solution
Let
x= the amount Joshua pays for a pack of pen
5% of x more than he paid for them
=0.05x more
Buying price=0.05x + x
Selling price=3.15
Equate buying and selling price
0.05x + x = 3.15
1.05x=3.15
Divide both sides by 1.05
1.05x / 1.05 = 3.15/1.05
x=3
The equation is 0.05x+x=3.15
The answer is:
x+0.05x=3.15 which has one solution
Yes. a negative subtracting a negative equals a positive, therefore it would be 7+12 which would equal 19. your friend is correct.
It is obviously the third one because c is the third letter in the alphabet