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taurus [48]
3 years ago
10

Divide and simplify 5/12÷20/36

Mathematics
1 answer:
gregori [183]3 years ago
3 0
Hello there! The formula for dividing fraction is keep, change, flip. You keep the first fraction the same, change division into multiplication, and flip the second fraction over by its reciprocal. In this case, 5/12 remains the same, division becoems multiplication, and 20/36 flips over to become 36/20. So the expression becomes this:

5/12 * 36/20

Now, we multiply straight across. 5 * 36 is 180. 12 * 20 is 240. 180/240 is 3/4 in simplest form. There. The quotient is 3/4.
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Add. 4.29 + 97.2 + 0.687 =<br> 102.177<br> 140.787<br> 1,407.87<br> 1,021.77
nordsb [41]
4.29 + 97.2 + 0.687 = 102.177

In adding decimal numbers, make sure that the decimal points are aligned. Since each number has different counts of numbers after the decimal point, use 0 to pad the missing places.
    
      4.290
    97.200
   <u>   0.687
</u>  102.177

The count of numbers after the decimal point is the same count of number of the decimal who has the greatest count of number after the decimal point.

4.29 only has 2 counts of places after the decimal point
97.2 only has 1 count of place after the decimal point
0.687 has 3 counts of places after the decimal point. 

The sum of the decimals must also have 3 counts of places after the decimal point.

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Image of question provided
inna [77]

Answer:

To solve this problem, we can use a system of equations.

We know the quadratic expression has the form

f(t)=at^{2}+bt

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12=a+b

0=16a+4b

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12=a+b\\0=-4a-b

12=-3a\\a=\frac{12}{-3}\\ a=-4

Then, we use this value to find the other variable

12=a+b\\12=-4+b\\b=12+4\\b=16

<h3>Therefore, the quadratic function that models the situation is</h3>

f(t)=-4t^{2} +16t  or  f(t)=-4t(t-4)

According to this expression, after 2 seconds, the height is 16 feet.

f(2)=-4(2)(2-4)=-8(-2)=16

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Answer:

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Step-by-step explanation:

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