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pashok25 [27]
3 years ago
9

Am stuck on this question and number 2 please HELP

Mathematics
2 answers:
Mekhanik [1.2K]3 years ago
7 0

√2 amount around 1.4

so the best answer is < which means 'less than'

√2 < 1.8

√2 is less than 1.8

Ira Lisetskai [31]3 years ago
6 0

Answer: Less than

Step-by-step explanation:

the first number becomes a decimal of 1.41421356  and the second number is 1.8 repeating

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What is 38/4 as a mixed number
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Write each mixed number as a decimal.<br> 1.) 4 1/5 <br> 2.) 12 14/15<br> 3.) 5 5/32
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Given that the jeweler has alloys that are 25% gold, 50% gold, and 82% gold.

As he wants to make 14 grams of an alloy by adding two different alloys that is precisely 75% gold, so one alloy must have a percentage of gold more than 75%.

One alloy is 82% gold and, the second can be chosen between 25% gold, 50% gold, so there are two cases.

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75% of 14 = 82% of x + 50% of y

\Rightarrow 75/100 \times 14 = 82/100 \times x + 50/100 \times y \\\\

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and y = 14-x= 14-10.9375=3.0625 grams.

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Case 2: 82% gold + 25% gold

Let x grams of 82% gold and y  grams of 25% gold added to make x+y=14 grams of 75% gold, so

75% of 14 = 82% of x + 25% of y

\Rightarrow 75/100 \times 14 = 82/100 \times x + 25/100 \times y \\\\\Rightarrow 75/100 \times 14 = 82/100 \times x + 25/100 \times (14-x) \\\\ \Rightarrow 75 \times 14 = 82 \times x + 25 \times (14-x)  \\\\\Rightarrow 75 \times 14 = 82 \times x + 25 \times14-25\times x \\\\\Rightarrow 75 \times 14 = 57 \times x + 25 \times14 \\\\\Rightarrow 57 \times x =75 \times 14 - 25 \times14 \\\\

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Hence, 12.28 grams of 82% gold and 1.72  grams of 50% gold added to make 14 grams of 75% gold.

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