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timama [110]
2 years ago
15

7 3/4 + (12 - 3 6/11) =

Mathematics
2 answers:
nataly862011 [7]2 years ago
5 0

Answer:

\frac{713}{44}  = 16 \frac{9}{44}

Step-by-step explanation:

7 3/4+ (12 - 3 6/11)

31/4 + (12 - 3 6/11)

31/4 + (12 - 39/11)

31/4 + 93/11

= <u>7</u><u>1</u><u>3</u><u>/</u><u>4</u><u>4</u><u> </u><u>=</u><u> </u><u>1</u><u>6</u><u> </u><u>9</u><u>/</u><u>4</u><u>4</u>

ladessa [460]2 years ago
5 0

Answer:

{ \boxed { \sf{Answer = 16 \frac{9}{44} }}}

Step-by-step explanation:

\\  \sf {7} \frac{3}{4}  + (12 - 3 \frac{6}{11} )

\\  \sf =  \frac{31}{4}  + (12 -  \frac{39}{11} )

\\  \sf =  \frac{31}{4} ( \frac{132 - 39}{11} )

\\  \sf =  \frac{31}{4}  +  \frac{93}{11}

\\  \sf =  \frac{341 + 372}{44}

\\  \sf =  \frac{713}{44}

\\  \sf = 16\frac{9}{44}

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2 years ago
The length of a rectangular garden is 5 feet less than 4 times its width. Its area is 359 square feet. Find the length and width
fiasKO [112]

Given parameters:

Area of the rectangular garden  = 359ft²

Unknown:

length and width of the garden  = ?

To find the length and breadth of the garden, we need to define and know that the area of a rectangle is.

 Area of a rectangle  = Length x Breadth

From the problem statement;

 Let w = width of the rectangular garden

        L = length of the garden;

 Now,

          length of a rectangular garden is 5 feet less than 4 times its width

           L = 4w - 5

Now let us substitute this into the equation;

       Area  = L x w

    359 = (4w - 5)w

           4w² - 5w - 359

Using:

          w = -b ± √b² -  4ac  /  2a

 where b  = -5 , a  = 4  and c = -359

  w  =   -(-5)  ± √-5² - 4(4)(-359)  /  2(4)

 w = 5 ± √25 + 5744 / 8

 w =  5 ± 75.9 / 8

 w  = \frac{5 + 75.9}{8}  or \frac{5 - 75.9}{8}

  w  = 10.1ft

 The other solution is not possible it will be a negative value. Width value cannot be negative.

So L = 4w - 5  = 4(10.1) - 5 = 35.5ft

The length and breadth of the rectangular are 35.5ft and 10.1ft respectively.

3 0
2 years ago
Ann Torbert purchased a truck for $11,000 on January 1, 2014. The truck will have an estimated salvage value of $1,000 at the en
alexandr402 [8]

Answer:

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Step-by-step explanation:

Salvage value=$1000

Purchased value=$11,000

In order to find the balance in accumulated depreciation at december 31,2015 using the units of activity we will use the following formula:

Balance in accumulated depreciation=\frac{10000}{Total Estimated Value}*Units of activity

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6 0
2 years ago
Read 2 more answers
Which value of w makes 14=11+w/8 times 6 a true statement?
Vlad [161]

Answer: For the value of w=4, 14=11+\frac{w}{8}\times 6 is a true statement.

Step-by-step explanation:

Since, the given expression,

14=11+\frac{w}{8}\times 6

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= 3=\frac{3w}{4} ( by subtraction property of equality)

⇒ =\frac{w}{4} ( By division property of equality)

⇒ w=4 ( By multiplication property of equality)


6 0
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If your Gross Pay for a week at work is $340, and you have to pay 23% in taxes, what is your Net Pay (what you take home)?
Paladinen [302]

Answer:

$261.80 Net pay

Step-by-step explanation:

340 x 0.23 =   $78.20 in taxes

$340 - $78.20 =  $261.80 Net pay

7 0
2 years ago
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