Answer:
just a guess but the boats speed could be 24mph and the current would be 10mph
Step-by-step explanation:
just thought of it but sorry for not having accurate info
Answer:
The first number is 138.
Step-by-step explanation:
Let the first number be <em>x.</em>
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Then since they are consecutive numbers, the second number will be (<em>x</em> + 1), the third (<em>x</em> + 2), the fourth (<em>x</em> + 3) and the fifth being (<em>x</em> + 4).
We are given that their sum is 700. Therefore:
Solve for <em>x</em>. Combine like terms:
Subtract 10 from both sides:
Divide both sides by five. Therefore:
The first number is 138.
Answer: w = 7, x = 6
Step-by-step explanation: Solve by substitution
W + b = 13
rewrite as b = 13 - w and substitute that value for b in the second equation
6.5w + 2b = 57.5 Then solve for w
6.5w + 2(13-w) = 57.5 . Distribute
6.5w + 26 - 2w = 57.5 . Subtract 26 from both sides. Combine like terms and simplify
6.5w - 2w = 57.5 - 26
4.5w = 31.5 Divide both sides by 4.65
w = 7 . Substitute 7 for w in the first equation and solve for b
7 + b = 13 . Subtract 7 from both sides
b = 6
Let the shorter leg = a.
The longer leg, b = a + 4.
The hypotenuse, c = a + 8
a^2 + b^2 = c^2
a^2 + (a + 4)^2 = (a + 8)^2
a^2 + a^2 + 8a + 16 = a^2 + 16a + 64
a^2 - 8a - 48 = 0
(a - 12)(a + 4) = 0
a - 12 = 0 or a + 4 = 0
a = 12 or a = -4
a = -4 is discarded because it is negative.
a = 12
b = 16
c = 20
The lengths are 12 m, 16 m, and 20 m.
