Is a 4(2x-3)<8(x+1) always ,sometime,or never true?

Mathematics

2 answers:

Taya2010 [7]3 years ago

7 0

Answer:

Step-by-step explanation:

Step 1: Simplify both sides of the inequality.

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Step 2: Subtract 8x from both sides.

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Step 3: Add 12 to both sides.

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yarga [219]3 years ago

3 0

Answer:

true

Step-by-step explanation:

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

boyakko [2]

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

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

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