Answer:
Speed of boat in still water = 64 km/hr
Speed of the current = 11 km/hr
Step-by-step explanation:
Let the speed of motorboat in still water = x km/hr
Let the speed of current = y km/hr
Motorboat travels 371 km in 7 hours going upstream.
Speed of motorboat while going upstream = speed of motorboat in still water - speed of current = (x-y)
=> ![\[x-y = \frac{371}{7}\]](https://tex.z-dn.net/?f=%5C%5Bx-y%20%3D%20%5Cfrac%7B371%7D%7B7%7D%5C%5D)
=> ![\[x-y = 53\]](https://tex.z-dn.net/?f=%5C%5Bx-y%20%3D%2053%5C%5D)
------------------------------(1)
Motorboat travels 525 km in 7 hours going downstream.
Speed of motorboat while going downstream = speed of motorboat in still water + speed of current = (x+y)
=> ![\[x+y = \frac{525}{7}\]](https://tex.z-dn.net/?f=%5C%5Bx%2By%20%3D%20%5Cfrac%7B525%7D%7B7%7D%5C%5D)
=> ![\[x+y = 75\]](https://tex.z-dn.net/?f=%5C%5Bx%2By%20%3D%2075%5C%5D)
-----------------------------(2)
Solving for x and y from (1) and (2):
Adding (1) and (2):
2x = 128
=> x = 64
Substituting the value of x in (1), y = 11
Answer:
x = 38
∠P = 26º
Step-by-step explanation:
The sum of the angle in a triangle is 180
x + (x + 78) + (x - 12) = 180
Combine like terms
3x + 66 = 180
Subtract 66 from both sides
3x = 114
Divide both sides by 3
x = 38
-----------------------
∠P = x - 12
∠P = 38 - 12
∠P = 26º
the length of the rectangle is 10ft
Step-by-step explanation:
let the length = x
width = x - 4
area = length X width
so, according to the problem
x(x-4) = 60
or, 
- 4x = 60
or, -4x -60 = 0
or, - 10x + 6x -60 = 0
or, x(x-10) +6(x-10) =0
or, (x-10)(x+6) = 0
x = 10 ( x= -6 for length this value is not possible)
so length is 10ft
width = 10 - 4 = 6ft
First, you have to find half of 30. To find "half" means that you have to divide by 2. 30 divided by 2 is 15, because 15 + 15 = 30.
30 + 15 = 45
Salo and Nan used 45 total tiles.
Finally, to find out if they have enough tiles you have to divide 36 and 24 by 4. This is because that will tell you how many 4 inch tiles need to be used. So, 36/4 is 9, and 24/4 is 6.
9 tiles + 6 tiles = 15 tiles
Yes, they will have enough tiles to cover the table.
Answer:
B
Step-by-step explanation:
As n is equal to 4,
4+3 = 7
