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Find a quadratic equation that models the situation, and use it to solve the problem. Show your work..

Two square shaped swimming pools need to be constructed by the local civic body for athletes training. The difference between the perimeters of the two pools is 16 ft. If the sum of the areas of the two pools is 730ft^2 , find the side length of the smaller pool.​

Answer:

8/13

Step-by-step explanation:

8x

------

13x

The x in the numerator and denominator cancel

8/13

Answer:

x = 1, -2, -7

Step-by-step explanation:

Just factor, you got this!

To expand the brackets, each term in the first bracket must be multiplied by each term in the second bracket and then simplified:

(x-8) (x-7) = (x × x) - (7 × x) - (8 × x) + (8×7)

               = x² - 7x - 8x + 56

               = x² - 15x + 56

Answer: x^2-15x+56

Step-by-step explanation:

1-Distribute

x(x-7)-8(x-7)

2-Distribute

x^2-7x-8(x-7)

3-Distribute

x^2-7x-8x+56

4-Combine like terms

x^2-15x+56

Answer:

Mateo jogged 8 3/20 miles in the past 2 days.

Step-by-step explanation:

Given:-

Distance on Saturday = 3 3/4

Distance on Sunday = 4 2/5

Total distance = 3 3/4 + 4 2/5

                       = 15/4 + 22/5

                       = LCM of deniminators (20)

                       = 75/20 + 88/20

                       = (75 + 88)/20

                      =  163/20

                      = 8 3/20

Answer:8+ (3/20)

Step-by-step explanation: We will assume that "today" is a Monday.

3+(3/4) + 4+(2/5)

7 + (3/4) + (2/5)

7 + (3/4)*(5/5) + (2/5)*(4/4)

7 + (15/20) + (8/20)

7 + (23/20)

8+ (3/20)

The question is an illustration of inequalities and mathematical operations

The amount between $2 and $10 is $8

The amount between $10 and $20 is $10

$100 is greater than $50

(a) Amount between $2 and $10.

The amount is calculated as:

Hence, the amount between $2 and $10 is $8

(b) Amount between $10 and $20.

The amount is calculated as:

Hence, the amount between $10 and $20 is $10

(c) Amount greater than $50.

An amount greater than $50 is an amount that have an higher value.

Take for instance: $100

$100 is greater than $50, because it has a higher value.

There is no enough information to solve the other questions

Read more about inequalities and mathematical operations at:

brainly.com/question/19003099

[tex] \green{\large\underline{\sf{Solution-}}}[/tex]

Given expression is

[tex]\rm :\longmapsto\:\dfrac{5 \times {25}^{n + 1} - 25 \times {5}^{2n} }{5 \times {5}^{2n + 3} - {25}^{n + 1} } [/tex]

can be rewritten as

[tex]\rm \:  =  \: \dfrac{5 \times { {(5}^{2} )}^{n + 1} - {5}^{2} \times {5}^{2n} }{5 \times {5}^{2n + 3} - {( {5}^{2} )}^{n + 1} } [/tex]

We know,

[tex] \purple{\rm :\longmapsto\:\boxed{\tt{ {( {x}^{m} )}^{n} \: = \: {x}^{mn}}}} \\ [/tex]

And

[tex] \purple{\rm :\longmapsto\:\boxed{\tt{ \: \: {x}^{m} \times {x}^{n} = {x}^{m + n} \: }}} \\ [/tex]

So, using this identity, we

[tex]\rm \:  =  \: \dfrac{5 \times {5}^{2n + 2} - {5}^{2n + 2} }{{5}^{2n + 3 + 1} - {5}^{2n + 2} } [/tex]

[tex]\rm \:  =  \: \dfrac{{5}^{2n + 2 + 1} - {5}^{2n + 2} }{{5}^{2n + 4} - {5}^{2n + 2} } [/tex]

can be further rewritten as

[tex]\rm \:  =  \: \dfrac{{5}^{2n + 2 + 1} - {5}^{2n + 2} }{{5}^{2n + 2 + 2} - {5}^{2n + 2} } [/tex]

[tex]\rm \:  =  \: \dfrac{ {5}^{2n + 2} (5 - 1)}{ {5}^{2n + 2} ( {5}^{2} - 1)} [/tex]

[tex]\rm \:  =  \: \dfrac{4}{25 - 1} [/tex]

[tex]\rm \:  =  \: \dfrac{4}{24} [/tex]

[tex]\rm \:  =  \: \dfrac{1}{6} [/tex]

Hence,

[tex]\rm :\longmapsto\:\boxed{\tt{ \dfrac{5 \times {25}^{n + 1} - 25 \times {5}^{2n} }{5 \times {5}^{2n + 3} - {25}^{n + 1} } = \frac{1}{6} }}[/tex]

I will do that soon okay I will

Work Shown:

(384.1 miles)/(14.2 gallons) = (384.1)/(14.2) mpg = 27.049 mpg approximately

mpg = miles per gallon

Answer:

27.05 miles per gallon

Step-by-step explanation:

384.1 miles = 14.2 gallons

x = 1 gallon

14.2x = 384.1

x = 384.1/14.2

= 27.0492958

≈ 27.05 miles per gallon

Hope this helps and be sure to have a wonderful time at Brainly! :D

(hope this helps) :)

Answer:

I think its number 4

Step-by-step explanation:

but im not sure

Step-by-step explanation:

here is your answer hope you will enjoy

please mark me as a brainlist

thank you

Answer:

the point (0,6) is the point that is 1/6 of the way

Step-by-step explanation:

The answer is dhdt=325πmmin.

With related rates, we need a function to relate the 2 variables, in this case it is clearly volume and height. The formula is:

V=πr2h

There is radius in the formula, but in this problem, radius is constant so it is not a variable. We can substitute the value in:

V=π(5m)2h

Since the rate in this problem is time related, we need to implicitly differentiate wrt (with respect to) time:

dVdt=(25m2)πdhdt

In the problem, we are given 3m3min which is dVdt. So we substitute this in:

dhdt=3m3min(25m2)π=325πmmin

Answer:

[tex] \frac{8}{21} . \: \frac{5}{16} \\ \\ \frac{5}{42} \\ \\ 0.119[/tex]

[tex] \frac{12}{25} . \: \frac{15}{16} \\ \\ \frac{9}{20} \\ \\ 0.45[/tex]

Answer:

8/21 . 5/16 = 5/42

12/25 . 15/16 = 9/20

Step-by-step explanation:

16 = 2 x 8

8/21 . 5/16

= ( 8 x 5 ) / ( 21 x 16 )

= ( 8 x 5 ) / ( 21 x 2 x 8 )

= 5 / ( 21 x 2 )

= 5/42

12 = 3 x 4

15 = 3 x 5

25 = 5 x 5

16 = 4 x 4

12/25 . 15/16

= ( 3 x 4 ) / ( 5 x 5 ) . ( 3 x 5 ) / ( 4 x 4 )

= ( 3 x 4 x 3 x 5 ) / ( 5 x 5 x 4 x 4 )

= ( 3 x 3 ) / ( 5 x 4 )

= 9/20

Answer:

i think it is a or c

Step-by-step explanation:

Answer:

Step-by-step explanation:

1) Sum = - 9

Product = -36

Factors = -12 , 3     {-12 + 3 = -9  & -12*3 = -36}

3a²  - 9a - 12 = 3a² + 3a - 12a - 12

                    =3a(a + 1) - 12(a + 1)

                    = (a + 1) (3a - 12)

2) 4a² + 38a - 20 = 4a² + 40a - 2a  - 20

                            =4a(a + 10) - 2(a + 10)

                            =(a + 10)(4a - 2)

3) 11a² + 30a - 9 = 11a² + 33a - 3a - 9

                          = 11a(a + 3) - 3(a + 3)

                          =(a + 3)(11a - 3)

Answer:

The associative property

Step-by-step explanation:

:/ wait its u again lol

Answer:

I would think its C

Step-by-step explanation:

Since you are subtracting 15 from 275, it would be 275-15

i am assuming you dont need any help on the variables, so I hope this helps :)

If i am wrong, please let me know :DD

have a nice day, *insert preferred referral here*!!

The function that can be used to evaluate 't', the total number of gallons of water in the tank after w weeks is G(t) = 275 - 15w and this can be determined by using the given data.

Given :

The following steps can be used in order to determine the function that can be used to evaluate 't', the total number of gallons of water in the tank after w weeks:

Step 1 - Let the total number of weeks be 'w'.

Step 2 - So, the total amount of water reduced from the tank is:

= 15w

Step 3 - So, the function that can be used to evaluate 't', the total number of gallons of water in the tank after w weeks is given below:

G(t) = 275 - 15w

Therefore, the correct option is B).

For more information, refer to the link given below:

https://brainly.com/question/25834626

Answer:

-4,-8 : 8,8

Step-by-step explanation:

Answer: 302

Step-by-step explanation:

45 pages per hour X 4 hours = 180  pages in total

180 + 122 = 302

so 302 pages in total

'please can i have brainliest? i need it for my goal'

Answer:

g.....

Step-by-step explanation:

g.....

the letter is g

The letter g comes after the letter f.

An alphabet is a set of graphs or characters used to represent the phonemic structure of a language

The english alphabets are a, b, , c, d, e, f, g, h, i, j, k, l, m, n, o, p, q, r, s, t, u , v, w, x, y and z.

The alphabets help to form the basis of our language and communication for a lifetime.

There are twenty six letters in the english alphabets.

As we  see the order of alphabets.

The letter g is next to the letter f.

They help to form the basis of our language and communication for a lifetime.

Hence, the letter g comes after the letter f.

To learn more on Alphabets click:

https://brainly.com/question/20261759

#SPJ2

Answer:

-1 and -6.

Step-by-step explanation:

-1 and -6

-1*-6 = 6

-1 + (-6) = -1-6= -7.

Answer:

-120

Step-by-step explanation:

subtract 45 to both sides

m/8 = -15

multiply by 8 on both sides.

with the fraction just multiply by the bottom number to make m by itself.

m = -15*8

m= -120

Answer:

-120

Step-by-step explanation:

30-45= -15

-15×8= -120

Answer:

I think its 30 hope this helps and sorry if I get it wrong

Answer:

B) 30

Ok now that you have the answer......

If you have me, you want to share me.

If you share me, you no longer have me.  

WHAT AM I???????

Answer:

The length of Due to the accuracy of the tape measure Avani used, the play area is 7.5 meters. The width of the play area is the amount of foam needed to cover the play area is 5.3 meters.

Step-by-step explanation:

Answer:

39.8

Step-by-step explanation:

edge 2022

Answer:

If the REGULAR price of the t-shirt is $18, the SALE price with a 20% discount is $14.40. Hope this helps!

Step-by-step explanation:

Answer:

Slope = -4

Step-by-step explanation:

Perpendicular lines have negative reciprocal slopes, which means that multiplying their slopes result in a product of -1. Given the equation, x - 4y = - 12:

Transform the equation into its slope-intercept form, y = mx + b:

x - 4y  = - 12

x - x - 4y = - x - 12

-4y = -x - 12

Divide both sides by -4:

[tex]\frac{-4y}{-4} = \frac{-x - 12}{-4}[/tex]

y =  ¼x + 3  ⇒ (This is the slope-intercept form of the given standard equation, x - 4y  = - 12).

Since the slope of the given equation is ¼, then it means that its negative reciprocal must be - 4:

(¼) (-4) = -1

Therefore, the slope of the line perpendicular to x - 4y = - 12 is - 4.

Answer:

it would just be a DOT at positive one on a graph

Answer:

Yes

Step-by-step explanation:

Both legs of an isosceles triangle are congruent so they can be made to say that one leg=the equation of the other leg.