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3 years ago

I am very confused, please help!

Mathematics

1 answer:

mojhsa [17]3 years ago

6 0

Answer:

Step-by-step explanation:

Consider the equation:

$\dfrac{3}{4}(24-16x)=-\dfrac{2}{3}(18x-27)$

Use distributive property in both sides:

$\dfrac{3}{4}\cdot 24-\dfrac{3}{4}\cdot 16x=-\dfrac{2}{3}\cdot 18x+\dfrac{2}{3}\cdot 27\\ \\3\cdot 6-3\cdot 4x=-2\cdot 6x+2\cdot 9\\ \\18-12x=-12x+18$

Separate terms with x into the left part and terms without x into the right part:

$-12x+12x=18-18\\ \\0=0$

Since you get true equality 0 = 0, the equation is true for all real values of x. So, the equation has infinitely many solutions.

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3 years ago

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Let's evaluate the value of k for each day.

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$\begin{gathered} N\text{ = }10440 \\ T\text{ = }5.80 \\ \text{thus,} \\ k\text{ = }\frac{10440}{5.8} \\ \Rightarrow k=1800 \end{gathered}$

It is observed that all exept wednesday have the same value of k.

Thus, the amount of time required for the number of bottles filled on wednesday is evaluated as

$\begin{gathered} N\text{ = }12330 \\ k\text{ = 1800} \\ T\text{ = ?} \\ \text{but} \\ k\text{ = }\frac{N}{T} \\ 1800\text{ = }\frac{12330}{T} \\ \Rightarrow T\text{ = }\frac{\text{12330}}{1800} \\ T\text{ = 6.85} \end{gathered}$

Hence, the incorrect day is Wednesday. The amount of time for that many bottles should be 6.85 hours.

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1 year ago

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