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Nataly_w [17]
3 years ago
15

Square root of 129 is greater than, less than or equal to 95/8?​

Mathematics
1 answer:
Tanzania [10]3 years ago
5 0

√129 is less than \frac{95}{8}.

\large\mathfrak{{\pmb{\underline{\purple{Step-by-step\:explanation}}{\purple{:}}}}}

Let us first solve for √129.

➝\:\sqrt{129}

➝\:11.3578

Now,

➝\: \frac{95}{8}

➝\:11.875

Clearly,

➵\:11.3578 < 11.875

➵\: \sqrt{129}  <  \frac{95}{8}

Hence, √129 is less than \frac{95}{8}.

\red{\large\qquad \qquad \underline{ \pmb{{ \mathbb{ \maltese \: \: Mystique35☂}}}}}

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A party is thrown where 25 tables are used. Each table either sits 4 people or 6 people. A total of 116 people can be sat at the
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Answer:

(a) 4 y + 6 s  = 116 represents the given situation.

(b)There are 8  six- person tables at the party.

Step-by-step explanation:

Here, the total number of tables = 25

Let y  :  Represent the number of four person tables.

     s   :  Represents the number of six person tables.

Total people seated at all tables  = 116

Now, the number of people seated at table of 4  =  y x 4  = 4 y

         the number of people seated at table of 6  =  s x 6  = 6 s

(a)  Total People Seated = People seated at  { 4- table +  6  table}

      ⇒ 116  = 4 y + 6 s

       Hence, 4 y + 6 s  = 116 represents the given situation.

(b) Total tables are 25.      ⇒ s + y = 25

    Hence, the givens system of equations are:

    4 y + 6 s  = 116  ........  (1)

    s + y = 25   ............  (2)

Solving the above system, we get, substitute y = 25 - s    in (1)

4 y + 6 s  = 116   ⇒ 4(25-s)  + 6s = 116

or, 100 - 4s + 6s  = 116

or. 2s = 16

or, s = 16 / 2  = 8   ⇒ s = 8

Hence, there are 8  six- person tables at the party.

3 0
3 years ago
The sum of four consecutive integers is 2,174. what is the value of the smallest integer
nikklg [1K]
Represent the sum of these consecutive integers as follows:

x  +  x+1  +  x+2  +  x+3  =  2174.

Then 4x + 6 = 2174.  Solving for x, x = 542.

Then the four integers are {542, 543, 544, 545}.

The smallest is 542 (answer)
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A slide 15 feet long makes an angle of 330 with its vertical ladder. To the
Shkiper50 [21]

Answer:

13ft

Step-by-step explanation:

Kindly find attached a rough draft of the situation.

Step one:

Given data

The length of the slide represents the

Hypotenuse of the situation on the rough sketch

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Required

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Step two:

Applying SOH CAH TOA

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