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babunello [35]
4 years ago
14

124 7/8 gallons of water drained from a pool in 25 minutes how much water drained from pool each minute

Mathematics
1 answer:
boyakko [2]4 years ago
4 0

first off, let's convert the mixed fraction to "improper", and then check,

\bf \stackrel{mixed}{124\frac{7}{8}}\implies \cfrac{124\cdot 8+7}{8}\implies \stackrel{improper}{\cfrac{999}{8}}\\\\ -------------------------------\\\\ \begin{array}{ccll} \stackrel{water}{gallons}&minutes\\ \text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}\\ \frac{999}{8}&25\\\\ x&1 \end{array}\implies \cfrac{\quad \frac{999}{8}\quad }{x}=\cfrac{25}{1}\implies \cfrac{\quad \frac{999}{8}\quad }{\frac{x}{1}}=25

\bf \cfrac{999}{8}\cdot \cfrac{1}{x}=25\implies \cfrac{999}{8x}=25\implies 999=200x \\\\\\ \cfrac{999}{200}=x\implies \stackrel{gallons}{4\frac{199}{200}}=x

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5 0
3 years ago
For what value of b is y = 4 a solution to the equation y + 2 = by +8
Aleksandr [31]

b = -0.5

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5 0
3 years ago
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you run a marina thats has 122 boat slips. you currently have 97 boats in the slips. how many slips are empty?
kvv77 [185]
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6 0
3 years ago
<img src="https://tex.z-dn.net/?f=%28a%2Bb%29%5E%7B2%7D" id="TexFormula1" title="(a+b)^{2}" alt="(a+b)^{2}" align="absmiddle" cl
goldenfox [79]

Answer:

({a + b})^{2}

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{a}^{2}  + 2ab +  {b}^{2}

hope this help you

4 0
3 years ago
Look down below for question:
ale4655 [162]
Area of ABC : AB*AC/2

the maximum of the parabola is reached at x=-4/(2*(-1))=2 hence A is at (2,0) and B is at (2,(-2)^2+4*2+C)=(2,12+C)

C is the second root (x-intersect), which we can find :

determinant1 : D=16-4*(-1)*C=4(4+C) thus the second root is at x=\frac{-4-\sqrt{4(4+C)}}{-2}=2+\sqrt{4+C}

Hence the area of the triangle is AB*AC/2=(4+C)*(2+\sqrt{4+C}-2)/2=(4+C)\sqrt{4+C}/2=32 hence (4+C)\sqrt{4+C}=64 .

We remark that 64=16*4=16*\sqrt{16}

Hence 4+C=16 thus C=12

5 0
3 years ago
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