This question in algebraic expression and number form : the difference between 20 and x

9514 1404 393

Answer:

  A. 50 ft square

  B. 12√2 ft square

Step-by-step explanation:

These problems are basically the same, so have the same solution. The rectangle with maximum area for a given perimeter will have the same shape as the one with minimum perimeter for a given area.

We can find it generically. Let p represent the perimeter of a rectangular area with one side that measures x. The area will be ...

  A = x(p/2 -x) = -x^2 +(p/2)x

The area will be maximized when dA/dx = 0:

  dA/dx = -2x +p/2 = 0

  p/2 = 2x . . . . . add 2x

  x = p/4 . . . . . . divide by 2

The other dimension is ...

  p/2 -x = p/2 -p/4 = p/4

The dimensions of the maximum area for perimeter p are ...

  p/4 × p/4 . . . . . . . a square

__

$2400 worth of fence at $12 per foot is 2400/12 = 200 ft of fence. The largest possible area that can be enclosed will have dimensions of 200 ft/4 = 50 ft square:

  50 ft × 50 ft

__

The perimeter of the garden will be at its shortest when the shape of the garden is square.

  √(288 ft²) = 12√2 ft

The dimensions of the garden that will minimize the cost are ...

  12√2 ft × 12√2 ft

Answer: If the quadratic equation has real, rational solutions, the quickest way to solve it is often to factorise into the form (px + q)(mx + n), where m, n, p and q are integers. This is especially true where the coefficient of x2 is 1.

Example 1 - Solve x2+7x+12=0

Step-by-step explanation:

that's the only one I remember

Answer:

factoring, using the square roots, completing the square and the quadratic formula.

Step-by-step explanation:

Answer:

dont know

Step-by-step explanation:

sorry

Answer:

9

Step-by-step explanation:

It would be 9 because 7 +2 is 9 and 11 - 2 is 9.

Isn't way to hard.

Good luck on whatever you are doing.

9514 1404 393

Answer:

  9

Step-by-step explanation:

The midpoint between two values is their average. The average is half their sum.

  (7 +11)/2 = 18/2 = 9

The number 9 is halfway between 7 and 11.

_____

Check

The distance from 7 to 9 is 9-7 = 2. The distance from 9 to 11 is 11-9 = 2. The distances are the same, so 9 is halfway between 7 and 11.

Answer:

n = 5

Step-by-step explanation:

186 - 25 + n = 166

n + 186 - 25 = 166

n + 161 = 166

(n + 161) + (-161) = 166 + (-161)

n + 161 - 161 = 166 - 161

n = 5

Answer:

0

Step-by-step explanation:

If you move like terms to one side you'll get

-7c + 7c = 3

0c =3

0 = 3

cannot be true, so there are zero solutions

Answer:

2 Hola cómo estás mi amigo

Answer:

sale price SP= cost + sales tax

SP= 60 + 7% of 60

SP= 60+4.2

SP= $64.2

The maximum  number of pizzas that Mr. Braun can buy is 5.

The equation that can be used to represent the total amount spent on soda pop and pizzas is:

$75 = 5x($0.75) + x($9)

Where:

In order to determine the number of pizzas that can be bought, we have to solve for x

$75 = 3.75x + 9x

$75 = $12.75x

x = $75 / 12.75

x = 5.88

If 6 pizzas are bought, 30 drinks would be bought, the total cost would be:

6($9) + 30(0.75) = $76.50

If 5 pizzas are bought, 25 drinks would be bought, the total cost would be:

5($9) + 25(0.75) = $63.75

A similar question was answered here: https://brainly.com/question/13965560

Answer:

90,000

Step-by-step explanation:

Answer:

c is the answer

Step-by-step explanation:

Answer:

the magnitude of the vector is 11.40

Answer: Calculate the sphere volume, the volume of a spherical cap or of a hemisphere thanks to this sphere volume calculator.

Answer:

250000

Step-by-step explanation:

20% of x is 50000

----------------------------

50000=20x/100

50000= x/5

5(50000) = x

250000 = x

Answer:

Step-by-step explanation:

lets say 6 times 6 =36

3 is a half of six so if you

      6x6=36

     3x6=18

Answer:

Happy birthday to you

Nobody like you

U look like a an animal go back to the zoo

Step-by-step explanation:

HINDI PO NAKATAWA

Answer:

m/4

Step-by-step explanation:

Answer:

-1  1/6

Step-by-step explanation:

Use a common denominator first to convert all the fractions so they can be easily added or subtracted.

Common denominator is 18 since 3, 6, and 9 can all evenly divide into 18

1/3 = 6/18

1/6 = 3/18

2/9 = 4/18

So now you have

-6/18x - 3/18 = 4/18

add 6/18x to both sides so you can make the number with the variable positive

6/18x - 6/18x - 3/18 = 4/18 + 6/18x simplifies to - 3/18 = 4/18 + 6/18x

subtract 4/18 from both sides

- 3/18 - 4/18 = 4/18 - 4/18 + 6/18x simplifies to - 7/18 = 6/18x

Divide both sides by 6/18 so x is alone on the one side

( - 7/18) / ( 6/18) = ( 6/18x) / ( 6/18)  simplifies to ( - 7/18) / ( 6/18) = x

When you divide a fraction by a fraction, the bottom fraction gets flipped over then you multiply the two new fractions straight across

so the new equation looks like this

- 7/18 times 18/6 and you multiply -7 x 18 = -126 and the bottom is 18 times 6 = 108    you now have  -126/108

x = -126/108  which simplifies to - 1  18/108  which can still be simplified more to -1  1 / 6   since 108 can be divided by 18 that gives you 6.

Lin's brother weighs 40 pounds, and Elena's brother weighs 40 kilograms, because kilograms are heavier than pounds and Elena's brother is bigger.

Answer:

9

Step-by-step explanation:

4y + 6y = 90

10y =90

y = 90÷10

y = 9

Answer:

Value of 5 is 500

From right to left ones, tens, hundreds, thousands, ten thousands, hundred thousands

5 is in the hundredth place

Answer:

Whats the question ???

Step-by-step explanation:

What do you need help with?

13.5 teeth in five years

Answer:

[tex]x=4\frac{1}{8}[/tex]

Step-by-step explanation:

Step 1: Multiply (2x+5) by [tex]-\frac{3}{4}[/tex].

[tex]-\frac{3}{4}(2x+5)=-\frac{3}{4}*2x-\frac{3}{4}*5=-\frac{3}{2}x-\frac{15}{4}[/tex]

The equation becomes [tex]2\frac{1}{2}x-\frac{3}{2}x-\frac{15}{4}=\frac{3}{8}[/tex]

Step 2: Combine all terms that have a variable.

[tex]2\frac{1}{2}x-\frac{3}{2}x=\frac{5}{2}x-\frac{3}{2}x=\frac{2}{2}x=x[/tex]

The equation becomes [tex]x-\frac{15}{4}=\frac{3}{8}[/tex]

Step 3: Add [tex]\frac{15}{4}[/tex] to both sides of the equation.

[tex]x-\frac{15}{4}+\frac{15}{4}=\frac{3}{8}+\frac{15}{4}[/tex]

[tex]x=\frac{3}{8}+\frac{15}{4}=\frac{3}{8}+\frac{30}{8}=\frac{33}{8}=4\frac{1}{8}[/tex]

[tex]x=4\frac{1}{8}[/tex]

Answer:

Step-by-step explanation:

Let v be her average speed from her parents house

Let t₁ be the time traveled to parents house

Let t₂ be the time traveled from parents house

t₁ + t₂ = 19

t₁ = 19 - t₂

as the distance does not change, we can equate two velocity•time statements

vt₂ = (v + 25)t₁

vt₂ = (v + 25)(19 - t₂)

vt₂ = 19v - vt₂ + 475 - 25t₂

2vt₂ = 19v + 475 - 25t₂

vt₂ = 570 and t₂ = 570/v

2(570) = 19v + 475 - 25(570/v)

1140 = 19v + 475 - 14,250/v

665 = 19v - 14,250/v

665v = 19v² - 14250

0 = 19v² - 665v - 14250

0 = v² - 35v - 750

quadratic formula

v = (35 ±√(35² - 4(1)(-750))) / 2

v = (35 ± 65) / 2

v = - 15 mph which we ignore as she did not spend hours driving backwards

or

v = 50 mph is average speed from parents house

v + 25 = 75 mph is average speed to parents house.

the trip to took 570/75 = 7.6 hrs

the trip from took 570/50 = 11.4 hrs.     total of 19 hrs.

Answer:

It took 16 days

Step-by-step explanation:

400/25=16

Step-by-step explanation:

Given Question

Complete the following tables and plot the points on the graph paper yo represents the equations given below :-

[tex]\begin{gathered}\boxed{\begin{array}{c|c|c|c} \bf x & \bf 1 & \bf 2& \bf 3\\ \frac{\qquad}{} & \frac{\qquad}{}\frac{\qquad}{} &\frac{\qquad}{} & \frac{\qquad}{} &\\ \sf y = x + 1 & \sf & \sf & \sf \\ \\ \sf (x,y)& \sf & \sf & \sf \\ \end{array}} \\ \end{gathered} \\ [/tex]

and

[tex]\begin{gathered}\boxed{\begin{array}{c|c|c|c} \bf x & \bf 1 & \bf 2& \bf 3\\ \frac{\qquad}{} & \frac{\qquad}{}\frac{\qquad}{} &\frac{\qquad}{} & \frac{\qquad}{} &\\ \sf y = - 3x & \sf & \sf & \sf \\ \\ \sf (x,y)& \sf & \sf & \sf \\ \end{array}} \\ \end{gathered} \\ [/tex]

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

Given that,

[tex]\rm \longmapsto\:y = x + 1[/tex]

On substituting x = 1, we get

[tex]\rm \longmapsto\:y = 1 + 1[/tex]

[tex]\rm \longmapsto\:y = 2[/tex]

On substituting x = 2, we get

[tex]\rm \longmapsto\:y = 2 + 1[/tex]

[tex]\rm \longmapsto\:y = 3[/tex]

On substituting x = 3, we get

[tex]\rm \longmapsto\:y = 3 + 1[/tex]

[tex]\rm \longmapsto\:y = 4[/tex]

Hence,

[tex]\begin{gathered}\boxed{\begin{array}{c|c|c|c} \bf x & \bf 1 & \bf 2& \bf 3\\ \frac{\qquad}{} & \frac{\qquad}{}\frac{\qquad}{} &\frac{\qquad}{} & \frac{\qquad}{} &\\ \sf y = x + 1 & \sf 2 & \sf 3 & \sf 4\\ \\ \sf (x,y)& \sf (1,2) & \sf (2,3) & \sf (3,4)\\ \end{array}} \\ \end{gathered}[/tex]

Now, draw a graph using the points (1 , 2), (2 , 3) & (3 , 4)

---------------------------------------------

Given equation is

[tex]\rm \longmapsto\:y = - 3x[/tex]

On substituting x = 1, we get

[tex]\rm \longmapsto\:y = - 3 \times 1[/tex]

[tex]\rm \longmapsto\:y = - 3[/tex]

On substituting x = 2, we get

[tex]\rm \longmapsto\:y = - 3 \times 2[/tex]

[tex]\rm \longmapsto\:y = - 6[/tex]

On substituting x = 3, we get

[tex]\rm \longmapsto\:y = - 3 \times 3[/tex]

[tex]\rm \longmapsto\:y = - 9[/tex]

Hence,

[tex]\begin{gathered}\boxed{\begin{array}{c|c|c|c} \bf x & \bf 1 & \bf 2& \bf 3\\ \frac{\qquad}{} & \frac{\qquad}{}\frac{\qquad}{} &\frac{\qquad}{} & \frac{\qquad}{} &\\ \sf y = - 3x & \sf - 3 & \sf - 6 & \sf - 9\\ \\ \sf (x,y)& \sf (1, - 3) & \sf (2, - 6) & \sf (3, - 9)\\ \end{array}} \\ \end{gathered}[/tex]

Now, draw a graph using the points (1 , - 3), (2 , - 6) & (3 , - 9)