25 families live in the squares of a 5 × 5 chessboard, each occupying a square. As it often happens, each family thinks that their neighbors (i.e. those families living in the squares with which their square shares a side) have better living units. At a town hall meeting it is resolved to make everyone happier by moving the 25 families around so that each ends up in a square of one of their former neighbors. Unfortunately try as they might, the families cannot figure out any relocation scheme to carry out this resolution. Give a very simple reason explaining why they were doomed to fail. (Hint: 25 is odd).

Answer:

a = [tex]\frac{3}{4}[/tex]

Step-by-step explanation:

When working with fractions, I would mostly like to make the denominators the same first.  

[tex]\frac{2}{3}[/tex]a - [tex]\frac{1}{6}[/tex] = [tex]\frac{1}{3}[/tex]

Make all the denominators 6.

[tex]\frac{4}{6}[/tex]a - [tex]\frac{1}{6}[/tex] = [tex]\frac{2}{6}[/tex]

Isolate [tex]\frac{4}{6}[/tex]a.

[tex]\frac{4}{6}[/tex]a = [tex]\frac{2}{6}[/tex] + [tex]\frac{1}{6}[/tex]

   = [tex]\frac{3}{6}[/tex]

Find a.

[tex]\frac{6}{6}[/tex]a = [tex]\frac{6}{4}[/tex] × [tex]\frac{3}{6}[/tex]

a = [tex]\frac{3}{4}[/tex]

By using addition and subtraction, we get that, John cannot eat half that is 4 / 8 of the pizza the next day.

Let the total pizza be 1.

On the first day, the fraction of pizza that John ate = 3 / 8

On the next day, the fraction of pizza that John ate = 1 / 4

Total pizza that John ate till now will be calculated using addition:

3 / 8 + 1 / 4

3 / 8 + 2 / 8

5 / 8

Now, the pizza that is left will be calculated by subtracting the pizza that he ate from the total pizza that he had.

1 - 5 / 8

8 / 8 - 5 / 8

3 / 8

We can see that the half pizza is not left.

So, he cannot eat half that is 1 / 2 or 4 / 8 pizza the next day.

Therefore, by using addition and subtraction, we get that, John cannot eat half that is 4 / 8 of the pizza the next day.

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Answer:

-7 + 10 = 3

Step-by-step explanation:

630 gallons of 90% antifreeze has to be mixed.

Sum of values of two solutions = Value of mixture  

90% =0.9 unit value and amount x we get value 0.9x

10%= 0.1 unit value and amount 90 we get value =0.1*90=9

total mixture =0.80 value x+90 we get value 0.8*(x+90)

0.9x + 9 = 0.8(x + 90)  

0.9x + 9 = 0.8x + 90 x 0.8

0.9x – 0.8x = 72 – 9

0.1x = 63

x = 630

Hence, 630 gallons of 90% antifreeze has to be mixed.

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Answer:

45th term is 85

Step-by-step explanation:

We use the definition of the nth term of an arithmetic sequence:

[tex]a_n=a_1+(n-1)\,d[/tex]

which for our case gives:

[tex]a_n=a_1+(n-1)\,d\\a_n=-3+(45-1)\,2\\a_n=-3+44*2\\a_n=-3+88\\a_n=85[/tex]

Answer:

The scale factor should be 4

Step-by-step explanation:

sry if it is wrong i needed pionts and had the same problem hope this helps though ((((P:))))))

Answer:

3/4...............

Step-by-step explanation:

have a nice day

The average rate of change of f(x) = 1/(x + 12) on the given interval is expressed as: [tex]\frac{-1}{19(h + 19)}[/tex]

Given the function, f(x) = 1/(x + 12), the average rate of change of f(x) on the interval, [7, 7 + h], can be calculated using the formula:

Average rate of change = f(b) - f(a)/b - a.

a = 7

f(a) = f(7) = 1/(7 + 12) = 1/19

b = 7 + h

f(b) = f(7 + h) = 1/(7 + h + 12) = 1/(h + 19)

Plug in the values into the average rate of change formula

Average rate of change = 1/(h + 19) - 1/19 ÷ 7 + h - 7

Average rate of change = [19 - (h + 19)]/19(h + 19) ÷ h

Average rate of change = (19 - h - 19)/19(h + 19) × 1/h

Average rate of change = -h/19(h + 19) × 1/h

Average rate of change = -1/19(h + 19) × 1/1

Average rate of change = [tex]\frac{-1}{19(h + 19)}[/tex]

Therefore, the average rate of change of f(x) = 1/(x + 12) on the given interval is expressed as: [tex]\frac{-1}{19(h + 19)}[/tex].

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Answer:

90

.......................................

Answer:

The Length is 56 feet

Step-by-step explanation:

w + w + 8 + w + 8 + w = 208  (two sides have a width of w and 2 sides have the length of 8 + w)

Combine the w/s and the 8's

4w + 16 = 208  Subtract 16 from both sides of the equation

4w = 192  Divide both sides by 4

w = 48  The width is 48 feet.  That means that the length is 8 feet longer or 56 feet.

Check:

48 + 48 + 56 + 56 = 208

208 = 208

Answer:

9⁶

Step-by-step explanation:

9 is the number you are multiplying

6 is how many times you are multiplying the 9

Answer:9^6

Step-by-step explanation:

count  each time 9 is times to get the answer.

Answer:

11 pound turkey

Answer:

the 11 pound turkey its not that expensive than the other one

Based on the percentage that took the test from Canada, the United States, the Caribbean and Latin America, the percentage who took the test in 2018 from the Americas was 35.90%.

The total percentage of people who took the test in 2018 from the Americas can be found as:

= Percentage from Canada + United States + Mexico, the Caribbean, or Latin America

= 2.4% + 30.3% + 3.2%

= 35.90%

The rest of the question is:
The Graduate Management Admission Test (GMAT) website provides the following information about the geographic region of citizenship of those who took the test in 2018: 1.9% were from Africa; 0.3% were from Australia and the Pacific Islands; 2.4% were from Canada; 14.3% were from Central and South Asia; 36.1% were from East and Southeast Asia; 1.7% 1 were from Eastern Europe; 3.2% were from Mexico, the Caribbean, and Latin America;

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Answer:

[tex]x \leq -\frac{1}{4}[/tex]

Step-by-step explanation:

I hope this helps!

Answer: 151 messages

Step-by-step explanation:

each messages cost Layla 10 cents. Which means that 151 x 0.10= 15.10

Answer:

Step-by-step explanation:

Given,

No. of text messages for $4.70 = 47

So, no. of text messages for $1.00 = [tex]\frac{47}{4.7}[/tex]

Therefore,

No. of text messages for $15.10

= [tex]\frac{47}{4.7}[/tex] × 15.10

= 10 × 15.10

= 151

Hence,

The no. of text messages for $15.10 are 151 (Ans)

Answer:

45

Step-by-step explanation:

2/3 of 45 is 30

Answer:

120divide by2=60

3miles only

160 divide by 80=2 hrs

Step-by-step explanation:

Answer:

lien earned 29950, husband earned 28650

Step-by-step explanation:

you subtract 1300 from the total then divide by 2 and add the 1300 to liens half.

The equation of the circle that passes through the given points and has its center lying on this line 2x + y = 7 is equal to x² + y² - 10x + 6y - 6 = 0.

Mathematically, the standard form of the equation of a circle is given by;

(x - h)² + (y - k)² = r²

Where:

Assuming the center of this circle lies at (h, k), then we have the following expressions that models the distance from the center of the given circle:

(h - 7)² + (k - 3)² = (h - 11)² + (k - (-1))²

(h - 7)² + (k - 3)² = (h - 11)² + (k + 1)²

(h - 7)² - (h - 11)² = (k + 1)² - (k - 3)²

(h - 7 + h - 11)(h - 7 - h + 11) = (k + 1 + k - 3)(k + 1 - k + 3)

(2h - 18)(4) = (2k - 2)(4)

8h - 72 = 8k - 8

8h - 8k = 64

h - k = 8         .......equation 1.

Since (h, k) lies at 2x + y = 7, we have:

2h + k = 7       .......equation 2.

Solving eqn. 1 and eqn. 2 simultaneously, we have:

h - k = 8

2h + k = 7

3h = 15

h = 15/3

h = 5.

For the value of k, we have:

h - k = 8

5 - k = 8  

k = 5 - 8

k = -3.

Next, we would determine the radius of this circle:

Radius, r² = (h - x)² + (k - y)²

Radius, r² = (5 - 7)² + (-3 - 3)²

Radius, r² = (-2)² + (-6)²

Radius, r² = 4 + 36

Radius, r = √40.

Now, we can write the equation of this circle:

(x - h)² + (y - k)² = r²

(x - 5)² + (y - (-3))² = 40

(x - 5)² + (y + 3)² = 40.

x² - 5x - 5x + 25 + y² + 3y + 3y + 9 - 40 = 0

x² - 10x + 25 + y² + 6y - 31 = 0

x² - 10x + y² + 6y - 6 = 0

x² + y² - 10x + 6y - 6 = 0.

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Answer:

-6

Step-by-step explanation:

The hospital can get 4.15 milligrams from these three companies.

A linear equation is one in which the highest power of any variable is not more than 1. A linear equation in 2 variables can be solved by substitution method, if we have two simultaneous equations.

Here, we know that

Company A's supply of medicine = 1.7 mg

also, company A's supply = 2( B's supply - C's supply)

⇒ 1.7 = 2( B - C)

⇒ 1.7 = 2B - 2C .... (1)

Moreover, we are given that

A's supply = C's supply + 0.9

⇒ 1.7 = C + 0.9

⇒ 1.7 - 0.9 = C

⇒ 0.8 = C

Now, substituting the value of C in (1), we get,

1.7 = 2B - 2(0.8)

1.7 = 2B - 1.6

1.7 + 1.6 = 2B

⇒ B = 3.3/2

B = 1.65

Thus, the total supply from all three companies is (1.7 + 1.65 + 0.8) = 4.15 mg

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Answer:

714.439

Step-by-step explanation:

You multiply 659.99 • 1.0825

The 1 is so that you don’t have to add later. The .0825 is your percentage. Hope this helps.

Answer:

x = - 6

Step-by-step explanation:

Let's do this quickly,

5(x – 4) = -50

5x - 20 = -50

5x = -50 + 20

x = - 30/5

x = -6

The slope of the graph of y = f(x) is 3

The y-intercept of the line = -5

Equation for the line in slope - intercept form is y = 3x - 5

Given table of linear function is:

x     |    y

-2      -11

-1        -8

0       -5

1        -2

2         1

3        4

Slope = Change in y values/ Change in x-values

          = -8 --11/-1--2 = 3

Also -5 --8/0--1 =3, -2--5/1-0 = 3, 1--2/1-0 = 3, 4-1/3-2 = 3

So the slope is constant and is m = 3.

y-intercept is the y-value corresponding to when x = 0.

Here, when x = 0, y = -5.

So the y-intercept, c = -5

The equation for the linear function in slope-intercept form is,

y = mx + c , where m is the slope and c, the y-intercept of the function.

So here, the slope-intercept form of the function is,

y = 3x - 5

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Answer: c.

Step-by-step explanation: An Irrational Number is a real number that cannot be written as a simple fraction

Answer:

286.44 miles........

Answer: 8√3.

Step-by-step explanation:

First, look for any perfect squares that can fit into 192 snugly.

If we look for factors of 192, we can discover that the largest perfect square that can fit into it is 64 (and 3).

The √ of 64 is 8.

The √ of 3 cannot be simplified any further.

Thus, leaving us with our answer of 8√3.

Answer:

18 inches equals 45.72 centimeters

Step-by-step explanation:

[tex]1/2.54 = 0.39\\0.39*45.72=18[/tex]