Answer:
The distance the marina can travel = 
= 48 miles
Step-by-step explanation:
The rate going out against the current is = u - v = 20 
The rate going out with the current is = u + v = 30
Let the distance traveled by the motorboat =
Total time the boat can travel = 4 hours
⇒ Total time = ( Time taken by boat to go against the current ) + ( Time taken by boat to go with the current )
⇒ 4 = 
⇒ 4 = 
⇒ 4 = 
⇒ = 48 miles
This is the distance the marina can travel.
Well first solve for x
2x + 3 = -19
2x = -22
x = -11
Therefore yes, -11 is a solution for the function.
Answer:
<h2>411,52 in²</h2>
Step-by-step explanation:
Surface area = 2×(6,8×8,2+6,8×10+8,2×10) = 411,52
Answer:
See explanations below
Step-by-step explanation:
Given the simultaneous equations;
2x - 3y = 9... 1
2x + y = 13 ... 2
From 2;
y = 13-2x
Substitute into 1;
2x - 3(13-2x) = 9
2x -39 + 6x = 9
8x - 39 = 9
8x = 9+39
8x = 48
x = 6
Since y = 13-2x
y = 13-2(6)
y = 13-12
y = 1
The soluton to the system of equation is (6, 1)
Given the equations;
99x + 101y = 499; .... 1 * 101
101x + 99 y = 501 ... 2 * 99
______________
9999x + 10,201y = 50,399
9999x + 9801y = 49,599
Subtract
10201y - 9801y = 50399-49599
400y = 800
y = 2
Substitute y = 2 into 1;
From 1;
99x + 101y = 499
99x + 101(2) =499
99x +202 = 499
99x = 499 - 202
99x = 198
x = 198/99
x =2
Hence the solution is (2,2)
For the equations;
49x - 57y = 172 .... * 57
57x - 49y = 252 __ * 49
____________________
2793x -3249y = 9804
2793x - 2401y = 12348
Subtract
-3249y+2401y = 9804-12348
-848y = -2544
y = 3
Substitute into 1;
49x - 57y = 172
49x - 57(3) = 172
49x - 171 = 172
49x = 171+172
49x = 343
x = 7
Hence the solution is (7, 3)
12.347
- 9.432
------------
2.915
The answer is:
D. 2.915 kilometers
