x - boat speed; y - current speed; Path = 336:2 = 168 miles
1) 12 * (x + y) = 168; -> x + y = 14;
2) 14 * (x - y) = 168; -> x - y = 12;
1) x = 14 - y;
2) (14 - y) - y = 12;
14 - 2y = 12;
2y = 2;
y = 1 mph
x = 14 - 1 = 13 mph
Answer:
Boat speed = 13 mph
Current speed = 1 mph
Answer:
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Step-by-step explanation:
Answer:
<em>x = 2.5</em>
Step-by-step explanation:
- 2x - ( - 5 - 4x ) = - 5 ( 2x - 7 )
- 2x + 5 + 4x = - 10x + 35
- 2x + 5 + 4x = - 10x + 35
- 2x + 4x + 10x = 35 - 5
12x = 30
<em>x = </em>
<em> = 2.5</em>
Check the answer:
<em>L.H.S.</em> = - 2(2.5) - [ - 5 - 4(2.5) ] = <em>10</em>
<em>R.H.S.</em> = - 5 [ 2(2.5) - 7 ] = <em>10</em>
(6y - 11)(6y + 11) = ay
² - b |use (a - b)(a + b) = a² - b²
(6y)² - 11² =ay² - b
36y² - 121 = ay² - b |add b to both sides
ay² = 36y² - 121 + b |divide both sides by y² ≠ 0
a = (36y² - 121 + b)/y²
40c=520
This is the proper equation because there are 40 quarters in $10. Thus, if we could only fit $10 worth of quarters in each wrapper, we can only fit 40quarters in each wrapper. C represents the amount of wrappers we will need.
Hope this helps!