The values of x and y vary directly
and one pair of values are given.
Write an equation that relates x
and y.
x = 2, y = 5
[?]
y =
X

The number of ways to fill the tic-tac-toe grid, with at least 4 of each symbol in the grid, using the arrangements formula, is of:

252.

The number of possible arrangements that can be chosen from a set of n elements is given by the factorial of n, as follows:

[tex]A_n = n![/tex]

When the elements arranged can be repeated, the number of arrangements is presented as follows:

[tex]A_{n}^{n_1, n_2, \cdots, n_n} = \frac{n!}{n_1! \times n_2! \cdots n_3!}[/tex]

In which [tex]n_1, n_2, \cdots, n_n[/tex] represent the number of repetitions of each element.

For the tic-tac-toe grid, we have that the possible ways to organize the nine positions with at least four instances of each symbol is given as follows:

Hence the number of ways to fill up the grid is given as follows:

[tex]\frac{9!}{5!4!} + \frac{9!}{4!5!} = 2 \times 156 = 252[/tex]

Thus 252 ways to fill up the grid.

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The value of (-42n+28p)(-1/4) is 249n/4

A fraction represents a part of a whole or, more generally, any number of equal parts. A fraction describes how many parts of a certain size there are, for example, one-half, three-fifths, three-quarters.

A fraction has a denominator and numerator. There are three types of fraction. Proper, improper and mixed fraction

Opening the parentheses of the equation

(-42n+ 28p)(-1/4).

= -42n× -1/4+ 28× -1/4

= (42n×-7)/4

= -294n/4

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Answer:

x+7=4/3x-1/3 One solution was found : x = 22 Rearrange: Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation : ... 3x-9/4x-12: correct answer right here

Step-by-step explanation:

The time spent exercising for a student who spends 6 hours texting is 6 hours.

The scatter plot is given in the question,

As per the given scatter plot, we take the two points (9, 1) and (3,7).

The equation of the line of best fit:

Let the approximate equation would be as:

y - y₁ = (y₂ - y₁)/(x₂ -x₁ )[x -x₁]

x₁ = 9, y₁ = 1

x₂ =3, y₂ = 7

y - y₁ = (y₂ - y₁)/(x₂ -x₁ )[x -x₁]

y - 1 = (7 - 1)/(3 - 9)](x - 9)

y - 1 = (- 6/6)(x - 9)

y - 1 =  -1(x - 9)

y = -x + 9+ 1

y = -x + 10 ...(i)

The time spent exercising by a student who spends 4 hours texting

This means that x = 4.

Substitute the value x =4 in the equation (i), and solve for y

y = -4 + 10

y = 6

Hence, the time spent exercising for a student who spends 6 hours texting is 6 hours.

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The value of the function f(x) = [tex]x^3-2x^2+3[/tex] when x = 2 is f(2) = 3

The given function is

f(x) = [tex]x^3-2x^2+3[/tex]  

The function is the mathematical statement which represents the relationship between one variable and another variable. If one variable is dependent variable the other variable will be independent variable.

The given function is

f(x) = [tex]x^3-2x^2+3[/tex]

The value of x = 2

Then substitute the value of x in the function

f(x) = [tex]x^3-2x^2+3[/tex]  

f(2) = [tex]2^3-2(2)^2+3[/tex]

Solve the power of each terms

f(2) = 8 - 8 + 3

Do the arithmetic operations

f(2) = 3

Hence, the value of the function f(x) = [tex]x^3-2x^2+3[/tex] when x = 2 is f(2) = 3

The complete question is:

Find the value of f(x) = [tex]x^3-2x^2+3[/tex] , when x = 2

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Answer:

I=PRT/100

I100=PRT dbs by Rt

l100/RT = P

48000*100/6*6

P=

Answer: A

Step-by-step explanation:

Answer:

x = 22

Step-by-step explanation:

Solve for x:

x/11 = 2

multiply both sides by 11:

11(x/11) = 11(2)

x = 22

Answer:

x = 22

Step-by-step explanation:

[tex] \sf \frac{x}{11} = 2[/tex]

Use cross multiplication.

[tex] \frac{x}{11} = \frac{2}{1} \\ \\ \sf x = 2 \times 11 \\ \\ \sf \: x = 22[/tex]

Answer:A. (10 x 3) + 8

Answer:

A : ( 10 * 3 ) + 8

Hope this helps!

Step-by-step explanation:

10 friends, each donate 3 pieces of clothing, ( 3 + 3 + 3 + 3 + 3 + 3 + 3 + 3 + 3 + 3 ) or ( 10 * 3 ), plus the 8 pieces of clothing Emily is donating. ( 10 * 3 ) + 8.

The equation that shows the relationship between the number of hours Jack's crew works, x, and the total number of yards of pavement laid, y will be;

⇒ y = 40 + 15x

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

Sanjay and his paving crew laid 40 yards of new pavement.

And, They can lay 15 yards of new pavement per hour.

Now,

Let the number of hours Jack's crew works = x

And, The total number of yards of pavement laid = y

Hence, We can formulate;

An equation that shows the relationship between x and y will be;

y = 15x + 40

Thus, The equation that shows the relationship between the number of hours Jack's crew works, x, and the total number of yards of pavement laid, y will be;

⇒ y = 40 + 15x

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Answer:

21 gallons

Step-by-step explanation:

[tex]\frac{9}{198} \times 462 \\ \\ =\frac{462}{22} \\ \\ =21[/tex]

a.

A gardener can afford to buy 125 vinca plants and 60 phlox plants. $1.20/plant Vinca $2.50/plant Phlox.

The equation in standard form that models the possible combinations of x vinca plants and y phlox plants the gardener can afford to buy is

⇒ $1.20*x + $2.50*y

b.

An equation that models the possible combinations is

⇒ $1.20*125 + $2.50*60 = 300

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Answer:

whats the question

The pitcher that has the lowest number of runs allowed per inning is Randy.

In order to determine the pitcher that has the lowest number of runs per innings, divide the number of runs of each player by the number of innings of that player.

Division is the mathematical operation that is used to calculate the quotient of two or more numbers. It entails grouping a number into equal parts using another number.

Number of runs per innings = number of runs / number of innings

Number of runs per innings for Randy : (2 / 3) = 0.667

Number of runs per innings for Felix : (4 / 5) = 0.80

Number of runs per innings for Johan: (5 / 7) = 0.714

Here is the complete question:

A baseball team has three different pitchers. Randy pitched 3 innings and allowed 2 runs, Felix pitched 5 innings and allowed 4 runs, and Johan pitched 7 innings and allowed 5 runs.

Which pitcher has the lowest number of runs allowed per inning?

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The average rate of change of f(x) on the interval  30 ≤ x ≤ 60 is r = 1/5.

For a function f(x), we define the average rate of change over an interval:

a ≤x ≤b is given by:

( f(b) - f(a))/(b - a)

In this case we have the function defined by the table and the interval:

30 ≤ x ≤ 60

On the table we can see:

f(60) = 19

f(30) = 13

Then the average rate of change is:

r = (19 - 13)/(60 - 30) = 6/30 = 1/5

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Answer:

1350 ml

Step-by-step explanation:

(1800 : 4) * 3

450 * 3

1350 ml

Answer: : (4 – 5) – (13 – 18 + 2).

Step-by-step explanation:

hoped dat helped

Answer:

Step-by-step explanation: 348 miles and 6 hours

The image after a 270 rotation is (4, -3)

If the point of rotation is not the origin, the steps are as follows:

1. Subtract the point of rotation off each vertex point of

the shape

2. Rotate as you would around the origin

3. Add the point of rotation back to each vertex point of

the shape

Given: R(1, 2) after a 270 rotation about (0, - 2)

step1: (1-0, 2-(-2)) = (1, 4)

step 2: For rotation about the origin through 270°, the image is (y, -x). Thus, (1, 4) => (4, -1)

step 3: (4, -1) => (4+0, -1+(-2) ) = (4, -3)

Therefore, the image of R(1, 2) after a 270 rotation about (0, - 2) is (4, -3)

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Answer:

Commutative Property of Addition2. Distributive propertyStep-by-step explanation:Given[tex]Line 1: 4(8+9x)

Answer:

9 units

Step-by-step explanation:

We see that on the x-axis, everything is equal.

On the y-axis, there are -2 and 7.

So we are finding the distance between -2 and 7

|-2|+|7|=9

So the distance between the points is 9 units.

The solution for the variable w according to the given equation; -21 ⅓ w + 6 = 15 as required in the task content is; w = -27/64.

It follows from the task content that the value of variable w is time determined according to the given equation as in the task content.

Given the equation; -21 ⅓ w + 6 = 15.

First, the mixed number must be converted to a fraction so that we have;

-21 ⅓ = -64/3.

Hence, the equation becomes;

-64w/3 + 6 = 15

Multiply both sides of the equation by 3 so that we have;

-64w + 18 = 45

-64w = 45 - 18

-64w = 27

w = -27/64.

Ultimately, the solution for variable w according to the equation as given in the task content is; w = -27/64.

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The linear pair theorem cannot be used to state ZAOP is complementary to ZPOB.

Complementary angles are two angles with a combined angle of 90 degrees, whereas supplementary angles have a combined angle of 180 degrees.

A good that adds value to another good or service is said to be complimentary. To put it another way, they are two items that the client uses in tandem with one another. For instance, cereal and milk or a DVD and a DVD player.

Because the three angles of a triangle sum up to 180° and the right angle has already taken up 90°, the two non-right angles in a right angled triangle are complimentary. We say two angles "Complement" one other when their sums equal 90 degrees. because a complete angle is what is considered to be the right angle.

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[tex]{ \qquad\qquad\huge\underline{{\sf Answer}}} [/tex]

Here we go ~

[tex] \textsf{1. Numbers are : 36, 3, 12 } [/tex]

[tex] \textsf{HCF = product of total common factors of} [/tex][tex] \textsf{all three numbers, i.e : 2 } [/tex]

[tex] \textsf{LCM = product of highest power of each factor } [/tex][tex] \textsf{present in any three of them,} [/tex][tex] \textsf{i.e : 2⁵ × 3 = 32 × 3 = 96} [/tex]

Similarly,

[tex] \textsf{2. Numbers are : 6, 54, 12} [/tex]

[tex] \textsf{GCD = 2 × 3 = 6 } [/tex]

[tex] \textsf{[ 2 and 3 are the only ones common} [/tex] [tex] \textsf{among all three ]} [/tex]

[tex] \textsf{LCM = 2² × 3³ = 4 × 27 = 108} [/tex]

[tex] \textsf{3. Numbers are : 16, 8, 12 } [/tex]

[tex] \textsf{GCD = 2 × 2 = 4 } [/tex]

[tex] \textsf{LCM = 2⁴ × 3 = 16 × 3 = 48} [/tex]

Answer:

Numbers are : 36, 3, 12

36 = 2 × 2 × 2 × 2 × 2 × 1

3 = 3 × 1

12 = 2 × 2 × 3

HCF = product of total common factors of all three numbers, i.e : 2

LCM = product of highest power of each factor present in any three of them, i.e : 2⁵ × 3 = 32 × 3 = 96

Similarly,

2. Numbers are : 6, 54, 12

6 = 2 × 3

54 = 2 × 3 × 3 × 3

12 = 2 × 2 × 3

GCD = 2 × 3 = 6

[ 2 and 3 are the only ones common among all three ]

LCM = 2² × 3³ = 4 × 27 = 108

3. Numbers are : 16, 8, 12

16 = 2 × 2 × 2 × 2

8 = 2 × 2 × 2

12 = 2 × 2 × 3

GCD = 2 × 2 = 4

LCM = 2⁴ × 3 = 16 × 3 = 48

The probability that the sample proportion of a large shipment of stereos will differ from the population proportion by more than 6% is 0.0063

The probability is calculated using z score, this is used to determine the amount of standard deviations a sample, X is from the mean

The z score is given by the formula

z = (X - μ) / σ

Definition of variables

mean, μ  = p = 18% = 0.18

sample size, n = 306

standard deviation, σ

= √{(p(1 - p)) / n}

= √{(0.18(1 - 0.18)) / 306}

= √{(0.18 * 0.82) / 306}

= 0.02196

The probability

differ from the population proportion by less than 3%

|X - 0.18| > 0.06

X < 0.12 OR X > 0.24

P(z < 0.12) + P(z > 0.24 )

z score for z < 0.06

z = (0.12 - 0.18) / 0.02196

= -2.7322

p value for z < -2.7322 = 0.003146

z score for z > 0.06

z = (0.24 - 0.18) / 0.02196

= 2.7322

p value for z > 2.7322 = 1 - 0.99685 = 0.003146

The probability required = 0.003146 + 0.003146 = 0.006292 = 0.63%

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Answer:

1st: One solution

2nd: Infinite many solutions

3rd: No solution

4th: No Solution

5th: One Solution

Step-by-step explanation:

1st:

The solution is (6,9)

x = 6 if a vertical line going though (6,0)

y = 9 is a horizontal line going through (0,9)

The two lines with intersect at (6,9)

2nd:

3y = 15x + 6  If you divide all the way through by 3, you get

y = 5x + 2

This is identical to the first equation given.  Since it is the same line, the answer is infinite many solutions.

3rd:

3y = x + 2  Divide all the way through by 3

y = 1/3 x + 2/3

9y = 3x + 7  Divide all the way through by 9

y = 1/3 x + 7/9

Since the slopes are the same in both equations (1/3), these line are parallel and will never intersect.

4th:

Since the slopes are both the same (2), the lines are parallel and they will never intersect, so the answer is no solution.

5th:

2y = 3x  Divide both sides by 2

y = 3/2

-5y = -10  Divide both sides by -5

y = 2x

These equations are proportional so they go through the origin.  They both have a y intercept of zero, so they intersect at (0,0).  The answer is one solution.

The standard form of linear equation is 4x - y = 1.

What is the standard form of a linear equation?

Ax+By=C is the usual form for two-variable linear equations. A standard form linear equation is, for instance, 2x+3y=5. When an equation is given in this format, finding both intercepts is rather simple (x and y).

The slope intercepts form a linear equation is y = mx + c, where m is the slope and c is y-intercept of the line.

Given linear equation is:

4y=16x-4

Subtract 16x from both sides:

4y - 16x = -4

Divide both sides by -4

-y + 4x = 1

4x - y = 1

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Answer:

Step-by-step explanation:

Each exponent on the left side is a positive number and therefore their sum is positive too.

But we have a negative value on the right.

This is not possible, hence no solutions.