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Marta_Voda [28]

3 years ago

10

Jacob used 1/7 of a liter of water to fill 1/9 of the fish aquarium. How many liters r needed to fill the aquarium?

2 answers:

OleMash [197]3 years ago

8 0

We know that 1/7 of a liter filled up 1/9 of the aquarium, well, a "whole" will be 9/9.

how many liters will it be to fill up the 9/9 of the aquarium?

$\bf \begin{array}{ccll}
\stackrel{liters}{water}&\stackrel{fish}{aquarium}\\
\text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}\\
\frac{1}{7}&\frac{1}{9}\\\\
w&\frac{9}{9}
\end{array}\implies \cfrac{\frac{1}{7}}{w}=\cfrac{\frac{1}{9}}{\frac{9}{9}}\implies 
\cfrac{\frac{1}{7}}{\frac{w}{1}}=\cfrac{\frac{1}{9}}{\frac{9}{9}}\implies 
\cfrac{1}{7}\cdot \cfrac{1}{w}=\cfrac{1}{9}\cdot \cfrac{9}{9}
\\\\\\
\cfrac{1}{7w}=\cfrac{1}{9}\implies 9=7w\implies \cfrac{9}{7}=w$

Zinaida [17]3 years ago

6 0

Since 1/7 L of water fills 1/9 of the aquarium, 9 times 1/7 will fill the aquarium:

9(1/7) = 9/7 = 1 2/7 L of water will fill the aquarium.

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If f(x)=3x-2,find f(8)-f(-5)

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To find both f(8) and f(-5), we will need to plug in their values for x and solve for each. Then, we can subtract them to find the final answer.

Finding f(8):

f(8) = 3(8) - 2

f(8) = 24 - 2

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Finding f(-5):

f(-5) = 3(-5) - 2

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f(-5) = -17

Subtracting f(8) and f(-5):

f(8) - f(-5)

22 - - 17

22 + 17

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Answer:

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Step-by-step explanation:

A road is perpendicular to a highway leading to a farmhouse d miles away.

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Then by Pythagoras theorem,

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