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Makovka662 [10]
3 years ago
8

The total capacity of 6 pitchers and 12 glasses is 21 liters. The capacity of a pitcher is 5 times that of a glass. Find the cap

acity of each glass. Give you answer in liters.
Please help, I need an fifth grade answer<3
Mathematics
1 answer:
Katen [24]3 years ago
3 0
204 just add 12+21+6 =39 times 5 which equals 204
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Sophie has 5 pieces of string that are 4 yards each. She uses 3 pieces that are each 3 feet long. How much string does Sophie ha
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Alright, lets get started.

Sophie has 5 pieces of string that are 4 yards each.

1 yards = 3 feet,

So, 4 yards = 4 * 3 =12 feet

Total number of string she has = 5 piece

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It means she had 60 feet string in starting.

Now, She uses 3 pieces that are each 3 feet long, means

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So, remaining string length will be = 60 - 9 = 51 feet

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Answer:

x = 1 + \sqrt{2} \ \ or \ 1- \sqrt{2}

Step-by-step explanation:

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x² - 2x - 1 = 0

Solve by completing the square method;

⇒ take the constant to the right hand side of the equation.

x² - 2x = 1

⇒ take half of coefficient of x = ¹/₂ x -2 = -1

⇒ square half of coefficient of x and add it to the both sides of the equation

x^2 +  (-1)^2 = 1 + (-1)^2

(x-1)^2 = 1 + 1\\\\(x-1)^2 = 2\\\\

⇒ take the square root of both sides;

x-1 = +/- \ \ \sqrt{2} \\\\x = 1 + \sqrt{2} \ \ or \ 1- \sqrt{2}

Therefore, option B is the right solution.

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