The width of a rectangular pool is 5 meters longer than the length. The perimeter of the pool is 58 meters. Use and equation to find the pools length.

Answers

Answer 1
Answer: the perimeter of a rectangular pool = 2l + 2w

If the width is 5m longer than the length, 

Then Perimeter = 2(l + 5) + 2l
                          = 4l + 10  {THE EQUATION}

Since Perimeter = 58 m
Then 4l + 10 = 58 m

⇒  l  =  12 m

Thus the Length of the Pool = 12 m

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How do I factor 5x^2 + 28x + 32 ?

Answers

Factor:

5x^2 + 28x + 32  =======>  Solution:  ======>   ( x   +   4 ) ( 5x   +   8 )


Steps:  Factor

5x^2 + 28x + 32

Break the expressions into groups:

( 5x^2     +    20x )      +     ( 8x       +     32 )

Factor Out   5x^2   From  5x^2   +   20x   ======>     5x( x   +   4 )

Factor Out the  8   From    8x    +   32    ========>    8 ( x      +    4 )

=       5x (x     +    4 )       +     8 ( x      +     4 )

Factor Out Common term:

x     +        4

Answer =====>  Factor of;  ==>  5x^2 + 28x + 32     ( x      +    4 ) ( 5x      +   8 )



Hope that helps!!!!                                              : )

   


Hi! First, you want to work out your exponets. We have a 5x to the 2nd power (5x^2). Look at it as 5x•5x, “• means to multiply” so that will equal 25x. Next, put it back in the equation. That’ll be 25x+28x+32. Next step is to combine variables . The variables are 25x and 28x. this will equal, 53x. Put that back into the equation, which will now be 53x+32. This will be your answer since you cannot combine those two! Hope this works!

List all the subsets of each set:

{a,e,i, o}

Answers

\{\}, \{a\}, \{e\}, \{i\}, \{o\}, \{a, e\}, \{a, i\}, \{a, o\}, \{e, i\}, \{e, o\}, \{i, o\}, \{a, e, i\},\n \{a, e, o\}, \{a, i, o\}, \{e, i, o\}, \{a, e, i, o\}

Find the equation of the line through the given point and perpendicular to the given line(0,0);-2x+4y=12

Answers

-2x+4y=12 <=> y = (-1/2)x + 3 => the slope of given line is -1/2;

the new line and the given line are perpendicular =>( the slope of new line )*(-1/2) = -1 =>

the slope of new line is 2;

the equation of the new line is y -0  =2( x -0) <=> y = 2x.
-2x+0 is perpendicular to -2x+4y=12, and go through (0,0).
So the answer is -2x+0

A small box weighs 1 25 pounds. A large box weighs 3 1/3 time as much as the small box. how much does the large box weigh?

Answers

Answer:

416.7pounds

Step-by-step explanation:

Given parameters:

         Weight of the small box  = 125pounds

Unknown:

Weight of the larger box = ?

Solution:

The large box weighs 3(1)/(3) times as the small box:

               So;

                =   125pounds x (10)/(3)

                = 416.7pounds

A population of middle school students contains 160 sixth graders, 180 seventh graders, and 140 eighth graders. Nine seventh graders were part of a random sample of the population chosen to participate in a survey. For the sample to accurately represent the population, about how many sixth graders should be chosen? A.7 B.8 C.14 D.16

Answers

About 8 sixth graders should be chosen.

What is direct proportion?

Direct proportion is a type of proportionality relationship. For direct proportion, as one value increases, so does the other value and conversely, as one value decreases, so does the other value.

Given that, A population of middle school students contains 160 sixth graders, 180 seventh graders, and 140 eighth graders. Nine seventh graders were part of a random sample of the population chosen to participate in a survey.

We know they are in direct proportion,

Number of sixth graders students = 160

Number of seventh graders students = 180

Number of eighth graders students = 140

If 9 seventh graders were part of a random sample of the population chosen to participate in a survey.

Let the number of sixth graders should be chosen to be 'x'.

Since, there will be direct proportion.

180/9 = 160/x

20 = 160/x

x = 160/20

x = 8

Hence, About 8 sixth graders should be chosen.

For more references on direct proportion, click;

brainly.com/question/28730073

#SPJ6

Answer:B-8

Step-by-step explanation:BECAUSE it was for me

Calcule a soma dos multplos positivos de 9 monores que 100

Answers

Calculate some two positive multiples of 9 less than 100.

Multiples of a whole number are found by taking a product of any counting number and that whole number.

Counting number                whole number                  multiples
1                                                  9                                        9
2                                                  9                                       18
3                                                  9                                        27
4                                                  9                                        36
5                                                  9                                        45
6                                                  9                                        54
7                                                  9                                        63
8                                                  9                                        72
9                                                  9                                        81
10                                                9                                        90
11                                                9                                        99

The multiples listed are all less than 100. You can choose which two positive multiples you want.