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irakobra [83]
2 years ago
14

If 5/9 of a tank can be filled in 2 minutes, how many minutes will it take to fill the whole tank ? A) 2.4 minutes B) 2.8 minute

s C) 3.2 minutes D) 3.6 minutes
Mathematics
1 answer:
Rina8888 [55]2 years ago
6 0

Answer:

D.

Step-by-step explanation:

Set this up as a ratio with #parts of tank on top and #minutes on the bottom and then solve it as a proportion with x being the unknown number of minutes in the second ratio.

\frac{\frac{5}{9} }{2}=\frac{1}{x}

Notice the 1 in the numerator of the second ratio.  This is because a whole tank is represented by 9/9 which is the same thing as 1.

Cross multiply to solve for x:

\frac{5}{9}x=2(1)

To solve for x we will multiply both sides by 9/5:

(\frac{9}{5})(\frac{5}{9})x=2(\frac{9}{5})

9/5 and 5/9 cancel each other out when multiplied leaving simply "x" on the left.  And multiplying on the right:

x=\frac{18}{5}

which divides to 3.6 minutes

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One and Two step equations Escape Room.: The teeth on this key are busted. Now they must be readjusted. Find the code.
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The code for Escape Room is MCYHW.

<h3>Inequalities</h3>

Inequalities is a mathematic expression that do not present equalitiy between both sides. It is represented by symbols: <, ≤, > and ≥.

For solving this exercise, firstly, you should solve the inequalities identified by letters: H, W, M, Y and C. After that, you should relate yours anwers with the options given for the exercise.

  • Inequality H

                       -11x-4 > -15\\ \\ -11x > -15+4\\ \\ -11x > -11\; *(-1)\\ \\ 11x < 11\\ \\ x < 1

Therefore, you should connect H with x<1.

  • Inequality W

                       32 > -16x\\ \\ Rewriting \\ \\ -16x < 32 \\ \\ -16x < 32\; *(-1)\\ \\ 16x > -32\\ \\ x > \frac{-32}{16} \\ \\ x > -2

Therefore, you should connect W with x>-2.

  • Inequality M

                       3+x\leq -9\\ \\ x\leq -9-3\\ \\ x\leq -12

Therefore, you should connect M with x≤-12.

  • Inequality Y

                       -7x+7\leq -56\\ \\-7x\leq -56-7\\ \\ -7x\leq -63\\ \\  -7x\leq -63\; *(-1)\\ \\ 7x\geq  63\\ \\ x\geq \frac{63}{7} \\ \\ x\geq 9

Therefore, you should connect Y with x≥9.

  • Inequality C

                       -20\geq -5x+15\\ \\Rewriting\\ \\ 5x+15\leq -20\\ \\ -5x\leq -20-15\\ \\ -5x\leq -35\\ \\-5x\leq -35\; *(-1)\\ \\ 5x\geq 35\\ \\ x\geq \frac{35}{5}  \\ \\ x\geq 7

Therefore, you should connect C with x≥7.

Thus, the sequence is:

M - x\leq -12

C - x\geq 7

Y- x\geq 9

H- x < 1

W- x > -2

Read more about inequalities here.

brainly.com/question/25275758

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What is the answer to 32 3/4 - 12 1/2 =
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Step-by-step explanation:

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The slope is 1/2.
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