what are associative on rational numbers​

Answer:

28 n 2 + 64 n + 16

Step-by-step explanation:

Answer:

one and fifty six hundred thousandths

Answer:

one and fifty-six ten-thousandths

~ or, simpler ~

one point zero zero five six

Step-by-step explanation: hope this helps :)

Answer:

y = -3/2 x + 3

Step-by-step explanation:

If two lines' slopes multiply to get -1, they are perpendicular to each other.

In -6x+9y-12=0, find the slope by converting to slope-intercept form.

Isolate y:

-6x+9y-12=0

-6x+9y = 12

9y = 6x + 12

y = 6/9 x + 12/9

y = 2/3 x + 4/3

The slope in this line is 2/3.

To find the slope of a perpendicular line, find its negative reciprocal. The negative reciprocal is when you switch the top and bottoms numbers and multiply it by -1.

2/3 => -3/2

The slope of the perpendicular line is -3/2.

In -8x+2y-6=0, find the y-intercept by converting to slope-intercept form.

Isolate y:

-8x+2y-6=0

-8x + 2y = 6

2y = 8x + 6

y = 8/4 x + 6/2

y = 2x + 3

Slope-intercept form is y = mx + b, which b is the y-intercept.

The y-intercept is 3.

Substitute the slope and y-intercept values into the equation of a line in  slope-intercept form.

y = mx + b

y = -3/2 x + 3

Answer:

equation of the line = y=12x+45 i cant rlly graph it for you

Step-by-step explanation:

y-3 = 12 (x+4)

y-3 = 12x + 48

-3               -3

y=12x + 45

Answer:

y = 2x

Step-by-step explanation:

Note the relationship between x and y, that is

x = - 42 → y = - 84 ← that is y = 2x

x = - 14 → y = - 28 ← that is y = 2x

x = 14 → y = 28 ← that is y = 2x

x = 42 → y = 84 ← that is y = 2x

Thus the linear equation is y = 2x

Answer:

Step-by-step explanation:

The slope-intercept form of an equation of a line:

[tex]y=mx+b[/tex]

m - slope

b - y-intercept

The formula of a slope:

[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

From the table we have the points (14, 28) and (42, 84).

Substitute:

[tex]m=\dfrac{84-28}{42-14}=\dfrac{56}{28}=2[/tex]

Put the val;ue of a slope and the coordinates of the point (14, 28) to the equation of a line:

[tex]28=2(14)+b[/tex]

[tex]28=28+b[/tex]    subtract 28 from both sides

[tex]28-28=28-28+b\\\\0=b\to b=0[/tex]

Finally we have:

[tex]y=2x+0=2x[/tex]

Answer:

478 R 4

Step-by-step explanation:

Answer:

The probability that he will get a red gumdrop and a piece of butterscotch candy is 2/25

Step-by-step explanation:

The path to find the answer is to find the probability of both things happening  and then multiply them. First, there is 1 red gumdrop and 4 green gumdrops in a jar. There are 5 gumdrops total so the probability of choosing a red one is 1/5. Next, there are 2 pieces of butterscotch candy and 3 pieces of cinnamon candy in another jar. There are 5 pieces of candy total so the probability of choosing a piece of butterscotch candy is 2/5. Finally multiply the two probabilities: 1/5 * 2/5 = 2/25.

The probability that Craig will draw a red gumdrop from the first jar and a butterscotch candy from the second jar is 0.08 or 8%.

The subject of this problem is probability. Probability refers to the measure of the likelihood that an event will occur in a random experiment. In this specific problem, Craig randomly chooses one candy from each jar. We want to find the likelihood that Craig will choose one red gumdrop and one piece of butterscotch candy.

There are a total of 5 gumdrops in the first jar, with 1 being red. Thus, the probability of choosing a red gumdrop is 1/5. In the second jar, there are a total of 5 pieces of candy, with 2 being butterscotch. As such, the probability of choosing a butterscotch candy is 2/5.

To calculate the total probability, you multiply both probabilities, getting a final probability of (1/5) * (2/5) = 2/25 = 0.08. This means that there is an 8% chance that Craig will draw a red gumdrop and a butterscotch candy.

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Answer:

The value of given expression for x = - 10  is - 81

Step-by-step explanation:

Given expression as :

3 [tex]\frac{4}{5}[/tex]x - 2 [tex]\frac{1}{2}[/tex]

Or, 3 +  [tex]\frac{4}{5}[/tex]x  - 2 -  [tex]\frac{1}{2}[/tex]

Or,  [tex]\frac{19}{5}[/tex]x -  [tex]\frac{5}{2}[/tex]

or,  [tex]\frac{38 x - 25}{5}[/tex]

Now for  x = - 10

[tex]\frac{38\times (- 10)  - 25}{5}[/tex]

Or, [tex]{38\times (- 2)  - 5}[/tex]

∴ - 76 - 5

Or, - 81

Hence The value of given expression for x = - 10  is - 81  Answer

Answer:

11x-4

Step-by-step explanation:

2x^2+7x-4

2x^2= 2x2 =4 x

4x+7x=11x-4

Answer:

The graph is uploaded in the attachment.

The value of x is 2.625.

Step-by-step explanation:

so, f(x)=y and g(x)=y.

( where m is the slope and c is the y-intercept )

(y-intercept is the the coordinate of a point where the line intersects y-axis)

(slope is the angle made by the line with the x-axis)

which of the following is written in correct scientific notation?

Answer:

x ≤ 2

Explanation:

As with equations, there may be instances in which there is no solution to an inequality. Isolate the absolute value by subtracting 9 from both sides of the inequality. The absolute value of a quantity can never be a negative number, so there is no solution to the inequality.

Answer:

3

d

=

−

36

Step-by-step explanation:

Answer:

They could make 14 full stacks

Step-by-step explanation:

All you need to is divided the 269 by the 18 cartons and it will equal 14.944444444

so that means only 14 full stacks and you can't round because that would not make sense

Answer:

1. [tex]\dfrac{44}{13}=3\dfrac{5}{13}[/tex]

2. 9.6

3. 0

Step-by-step explanation:

Thales’ Theorem: If arms of an angle are cut by parallel straight lines, then the ratio of the lengths of the line segments obtained on one arm are equal to the corresponding segments obtained on the second arm.

1. By Thales's theorem,

[tex]\dfrac{9}{4}=\dfrac{11-x}{x}\\ \\9x=4(11-x)\ [\text{Cross multiply}]\\ \\9x=44-4x\\ \\9x+4x=44\\ \\13x=44\\ \\x=\dfrac{44}{13}[/tex]

2. By Thales's theorem,

[tex]\dfrac{8}{12}=\dfrac{x}{24-x}\\ \\12x=8(24-x)\ [\text{Cross multiply}]\\ \\12x=192-8x\\ \\12x+8x=192\\ \\20x=192\\ \\x=9.6[/tex]

3. By Thales's theorem,

[tex]\dfrac{4x}{5x}=\dfrac{4x-8}{6x-10}\\ \\\dfrac{4}{5}=\dfrac{4x-8}{6x-10}\\ \\5(4x-8)=4(6x-10)\ [\text{Cross multiply}]\\ \\20x-40=24x-40\\ \\20x=24x\\ \\4x=0\\ \\x=0[/tex]

Answer:

OPTION A

Step-by-step explanation:

[tex]$ 9r + 2 = \frac{7(r - 5)}{3} $[/tex]

[tex]$ \implies 9r + 2 = \frac{7r - 35}{3} $[/tex]

Multiplying throughout by [tex]$ r $[/tex]we get:

[tex]$ 27r + 6 = 7r - 35 $[/tex]

[tex]$ \implies 20r = -41 $[/tex]

[tex]$ \therefore r = \frac{-41}{20} $[/tex]

OPTION A is the answer.

Answer:

24:5

Step-by-step explanation:

Answer:

During January it decreased by $3,530.

Step-by-step explanation:

Given data:

Value of stocks in January 1st = $8,474

Value of stocks on March 1st = $3,323

Decrease value during February = $1,621

To find the decrease value during January.

Solution:

Let the decrease value in dollars during January be = [tex]x[/tex]

So, value of stocks in dollars on 1st February will be = [tex]8474-x[/tex]

So, value of stocks in dollars on 1st March will be = [tex]8474-x-1621[/tex]

So, we have

[tex]8474-x-1621=3323[/tex]

[tex]6853-x=3323[/tex]

Subtracting both sides by 6853.

[tex]6853-x-6853=3323-6853[/tex]

[tex]-x=-3530[/tex]

Multiplying both sides by -1.

∴ [tex]x=3530[/tex]

Thus, during January it decreased by $3,530.

Answer:

$650

Step-by-step explanation:

9100-4500     = 4550

    14-7                  7

= 650

     1

=$650

Answer:

This for a science class I am guessing

Step-by-step explanation:

8 A -3×6

9 C 12×5 - 3×6

10 A 15× 120 min

11 D 5×-50

12 A add profit subtract expenses from profit total

13 B 118- 34 then divide by 2

14 A add the two costs

D. Reflexive Property of SSS

Answer:

D

3. Reflexive Property of (Congruence) ≅

4. SSS (Side to Side to Side Congruence rule)

Step-by-step explanation:

3. Any geometric figure compared to itself is congruent to itself so this is why:

[tex]\overline{AC}\cong \overline{CA}\\\angle B\cong \angle B\\(...)[/tex]

4. Since we have a parallelogram, therefore we can say:

[tex]\overline{BC}\cong \overline{DA}\\\\\overline{BA}\cong \overline{DC}\\\\\overline{CA}\cong \overline{AC}\\[/tex]

Both triangles ABC and CDA satisfy the side to side to side congruence, since their 3 sides are congruent.

So, It's D.

P.S.

Notice that the angle measure information is not included in the data above that's why we cannot say it is SAS congruence.

Answer:

y=3 is the answer to this

Answer:

-3

Step-by-step explanation:

-82.5, -41 4/5, -13 1/8, -4.3

Final answer:

To arrange the numbers from least to greatest, you order them based on their value on the number line, with larger negative values representing smaller quantities. The numbers from least to greatest are -82.5, -41 4/5, -13 1/8, and -4.3.

Explanation:

To arrange the numbers -4.3, -82.5, -41 4/5 (which is -41.8), and -13 1/8 (which is -13.125) from least to greatest, we must compare their values on the number line. Larger negative numbers are those with the greater absolute value or those that are farther from zero in the negative direction.

Focusing on the given numbers:

-82.5 is the largest negative number, so it is the least.

-41 4/5 (or -41.8) is next, being less negative than -82.5.

-13 1/8 (or -13.125) is less negative than both -82.5 and -41.8.

-4.3 is the smallest negative number, so it is the greatest of the negatives.

Therefore, when ordered from least to greatest, the numbers are:

-82.5

-41 4/5

-13 1/8

-4.3

Answer:

x = - 3

Step-by-step explanation:

x = 8 is the equation of a vertical line parallel to the y- axis.

Thus a line parallel to it will also be vertical with equation

y = c

Where c is the value of the x- coordinates the line passes through

The line passes through (- 3, - 2) with x- coordinate - 3, thus

x = - 3 ← equation of parallel line

There is no equation of a line that is parallel to x=8 and passes through the point (-3, -2).

To find the equation of a line parallel to x = 8 and passing through the point (-3, -2), we need to know that a line with an equation x = a is a vertical line passing through the point (a, 0), and it has no slope. Since we need to find a line with the same slope as x = 8, we can set the equation to x = -3, which represents a vertical line passing through the point (-3, 0).

However, this line is parallel to x = 8 rather than passing through the point (-3, -2). Therefore, there is no equation of a line that is parallel to x = 8 and passes through the point (-3, -2).

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The sum of 5 consecutive odd integers is 145. These are the other 4 consecutive odd numbers. Now if we add all of these up we will get this : 25 + 27 + 29 + 31 + 33 = 145.

Hope I helped! ☺☼

The five consecutive odd numbers that sum up to 145 are 25, 27, 29, 31, and 33.

Let's call the middle of the five consecutive odd numbers n. Because these numbers are odd and consecutive, the two numbers before n will be n-2 and n-4, and the two after will be n+2 and n+4. The sum of these five numbers is:

n-4 + n-2 + n + n+2 + n+4 = 5n.

Since the sum of the five numbers is 145, we have:

5n = 145.

To find the value of n, we divide both sides by 5:

n = 145 / 5,

n = 29.

So the middle number is 29, and the five consecutive odd numbers are 25, 27, 29, 31, and 33.

The above question is incomplete, the complete question is:

The sum of 5 consecutive odd numbers is 145. find the numbers.

Answer:

Parabola [tex]P^{2}[/tex] = 16A

Non-linear function.

Increasing function.

Step-by-step explanation:

Let a be the side length of a square ,

Then, Perimeter of square (P) = 4a

So, a can be written as a = [tex]\frac{P}{4}[/tex]

Area of square (A) = [tex]a^{2}[/tex] .

So, A = [tex]\frac{P^{2} }{4^{2} }[/tex]

        =  [tex]\frac{P^{2} }{16 }[/tex]

[tex]P^{2}[/tex] = 16A

It is the equation of parabola. (similar to [tex]y^{2}[/tex] = 4ax)

It is a non - linear function as square of Perimeter is related to Area , not directly Perimeter.

Also, it is a increasing function since as A increases P increases.

Final answer:

The function relating the area of a square to its perimeter is a quadratic function shown by the equation A = P²/16, which is graphed as a parabola. The graph is not linear, and it illustrates that as the perimeter increases, the area increases at an accelerating rate, hence it is always increasing.

Explanation:

To graph the function that relates the area of a square to its perimeter, first understand that the area A of a square is equal to the side length squared (s²), and the perimeter P is four times the side length (4s). These relationships can help us derive the function A = f(P). Here's how you would do it:

The graph of this function is not linear but a parabola opening upwards because it has the form of a quadratic equation A = P²/16. This means the graph will be an increasing curve as the perimeter increases, the area increases at an accelerating rate. It is important to note that the graph of this function is always increasing, and the rate of increase grows as the value of P increases

Considering the dimensions of the given rectangular prism and it's volume, the height of the chest is of 8 inches.

The volume of a rectangular prism of width w, length l and height h is given by the multiplication of these dimensions, as follows:

V = lwh

For this problem, the dimensions are given as follows:

w = 16, l = 4h, V = 4096.

Hence the height of the chest can be found as follows:

lwh = 4096

16 x 4h x h = 4096

h² = 4096/64

h² = 64

h = 8.

Hence, the height of the chest is of 8 inches.

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Answer:

The value of y for x = 8 is 60  .

Step-by-step explanation:

Given expression as :

For x = 2  , y = 15

Let the equation be written with constant k'

So, y = k x

Or, k = [tex]\dfrac{y}{x}[/tex]

∴   k =  [tex]\dfrac{15}{2}[/tex]

Now, again

For x = 8

equation can be written as

   y = k x

Or,  y =  [tex]\dfrac{15}{2}[/tex] × 8

Or,  y = [tex]\frac{15\times 8}{2}[/tex]

∴    y = 15 × 4

I.e  y = 60

Hence The value of y for x = 8 is 60  . Answer

Box plots are useful for comparing the measure of variability in datasets. Specifically, they compare the interquartile range (IQR), which is the range covering the middle 50% of a dataset. This is represented by the box in the plot, and additional info like median and potential outliers are also shown.

In the field of statistics, box plots, also known as box and whisker plots, are useful for comparing the measure of variability in a data set. The specific measure of variability that can be compared using the box plots is called the interquartile range (IQR).

The IQR is the range within which the middle 50% of a dataset falls. It is calculated by subtracting the lower quartile (25th percentile) from the upper quartile (75th percentile). These quartiles are represented on a box plot by the edges of the box, which makes it easier to visually compare the variability of different datasets.Box plots also present additional information like median and potential outliers in the data.

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