Simplify the expression.

Answer:

72

Step-by-step explanation:

Answer:

width =4.5ft

length=6ft

Step-by-step explanation:

w = x

L = 2x-3

area = L*w

27 = x(2x-3)

[tex]27=2x^{2} -3x[/tex]

[tex]2x^{2} -3x-27=0[/tex]

[tex]2x^{2} +6x-9x-27=0[/tex]

2x(x+3)-9(x+3)=0

(2x-9)(x+3)=0

2x-9=0

2x=9

x=9/2

x=4.5

L=2x-3=2*4.5-3 =9-3=6

The dimensions of the rectangle are; width = 4.5ft and length = 6ft.

The area of the rectangle is the product of the length and width of a given rectangle.

The area of the rectangle = length × Width

The length of the rectangle is 3ft less than twice the width.

Let width = x

Length = 2x - 3

The area of the rectangle = length × Width

27 = x(2x-3)

2x² - 3x = 27

2x² - 3x - 27 = 0

2x(x + 3) - 9(x + 3) = 0

(2x-9)(x+3)=0

The solutions are;

2x-9=0

2x=9

x=9/2

x = 4.5

(x+3) = 0

x = -3

The width cannot be negative.

So,

Length = 2x-3 = 2*4.5-3 = 9 - 3

Length = 6

Hence, The dimensions of the rectangle are; width = 4.5ft and length = 6ft.

Learn more about the area;

https://brainly.com/question/1658516

#SPJ2

Answer:

I would line up the numbers in order

The coefficient of skewness is 0.26, indicating slight positive skewness and the kurtosis is approximately -0.84, indicating a platykurtic distribution.

We have,

To calculate the coefficient of skewness and kurtosis, we first need to organize the data into a frequency distribution table.

Age | Frequency

10 | 3

12 | 2

13 | 4

14 | 5

15 | 5

16 | 5

17 | 4

18 | 6

19 | 4

20 | 3

22 | 4

24 | 4

25 | 1

27 | 3

28 | 1

30 | 2

31 | 4

32 | 3

34 | 3

35 | 3

37 | 1

38 | 1

40 | 1

43 | 1

44 | 2

To calculate the coefficient of skewness, we use the formula:

Coefficient of Skewness = (mean - mode) / standard deviation

Mean = (10 * 3 + 12 * 2 + 13 * 4 + ... + 44 * 2) / 100 ≈ 20.49

Mode = 18 (the most frequent value in the dataset)

Standard Deviation

= √[((10 - mean)² * 3 + (12 - mean)² * 2 + ... + (44 - mean)² * 2) / 100]

≈ 9.63

Coefficient of Skewness = (20.49 - 18) / 9.63 ≈ 0.26

To calculate the kurtosis, we use the formula:

Kurtosis = ∑[((x - mean) / standard deviation)⁴ * frequency] / (n * standard deviation⁴) - 3

Kurtosis = [((10 - mean) / standard deviation)⁴ * 3 + ((12 - mean) / standard deviation)⁴ * 2 + ... + ((44 - mean) / standard deviation)⁴ * 2] / (100 * standard deviation⁴) - 3 ≈ -0.84

Interpretation:

Coefficient of Skewness:

The coefficient of skewness is positive (0.26), indicating that the data is slightly skewed to the right (positively skewed). This means that there is a longer tail on the right side of the distribution.

Kurtosis:

The kurtosis value is approximately -0.84. Since it is less than 3, the distribution is considered platykurtic. This means that the distribution has lighter tails and is flatter compared to a normal distribution.

Thus,

The coefficient of skewness is 0.26, indicating slight positive skewness and the kurtosis is approximately -0.84, indicating a platykurtic distribution.

Learn more about skewness here:

https://brainly.com/question/32135692

#SPJ2

Answer:

120°

Step-by-step explanation:

The sum of the interior angles of a polygon is

sum = 180° (n - 2) ← n is the number of sides

A hexagon has 6 sides, thus

sum = 180° × 4 = 720°

To find the measure of each interior angle divide by 6, that is

interior angle = 720° ÷ 6 = 120°

Answer: 120°

Step-by-step explanation: Let's start by finding the sum of the measures of the interior angles. The sum of the measures of the interior angles of a polygon can be found using the formula 180 (n - 2) where n represents the number of sides in the polygon.

Since a regular hexagon has 6 sides, we can plug a 6 in for n in our formula and we have 180 (6 - 2) where 6 represents the number of sides. We can simplify this by subtracting 2 from 6 inside the parentheses to get 180 (4) which is 720.

So the sum of the measures of the interior angles of a regular hexagon is 720°.

However, we want to know the measure of each interior angle. Since the angles of a regular hexagon are all congruent, we simply divide the sum of the measures of the angles which is 720 by the number of angles or sides which is 6 to get 120.

So the measure of each interior angle of a regular hexagon is 120°.

So the formula for finding the measure of each interior angle of a regular polygon is simply the sum of the interior angles 180 (n - 2) divided by the number of sides which is n.

Image provided.

Answer:

50%

Step-by-step explanation:

cause 50% is 1/2 and 1/2 of 20 is 10

Answer: 50%

Step-by-step explanation:

10 is half of 20.

Half converted to a percent is 50%

Answer:

$18.50

Step-by-step explanation:

.37×50 = 18.5

$18.50

Answer:

$18.50

Step-by-step explanation:

GIven

1 stamp ----> $0.37

50 stamps ------> $0.37 x 50 = $18.50

Answer:

80in^3

Step-by-step explanation:

Answer:

80 in^3

Step-by-step explanation:

I just did this

The combined volume of both tanks is: Option A: 15x^2

Step-by-step explanation:

Given

Volume of larger tank = V_L =  [tex]8x^2+2x-1[/tex] in^3

Volume of smaller tank = V_S= [tex]7x^2-2x+1[/tex] in^3

To find the combined volume, we have to add both volumes

[tex]V = V_L+V_S\\=8x^2 + 2x - 1 + (7x^2 - 2x + 1)\\=8x^2+2x-1+7x^2-2x+1\\Combining\ like\ terms\\=8x^2+7x^2+2x-2x-1+1\\=15x^2[/tex]

Hence,

The combined volume of both tanks is: Option A: 15x^2

Keywords: Expressions, Polynomials

Learn more about polynomials at:

#LearnwithBrainly

Answer:

d=50

Step-by-step explanation:

-d+100=-3d+200

Subtract 100 from both sides

-d+100-100=-3d+200-100

Simplify

-d=-3d+100

Add 3d to both sides

-d+3d=-3d+100+3d

Simplify

2d=100

Divide both sides by 2

\frac{2d}{2}=\frac{100}{2}

Simplify

d=50

Answer:

In 50days

Step-by-step explanation:

Since the equation below can be used to find the number of days (d) until they will have the same number of pages left in their journals −d + 100 = −3d + 200, this equations will be solved to get 'd'

Given the equation;

−d + 100 = −3d + 200

Collecting like terms we will have;

-d+3d = 200-100

2d = 100

d = 50

This shows that Max and Pat will have the same number of pages left in their journals in 50days.

Answer:

$5.89

Step-by-step explanation:

29.45/5=5.89

Answer:

$5.89

Step-by-step explanation:

I divided 29.45 and 5 and got the product+cost of a single pair of the gloves; $5.89

The product of 576 and 684 is a rational number since it results in an integer, which is a subset of rational numbers.

The product of 576 and 684 is asked to be classified as rational or irrational. The multiplication of two integers will always produce another integer, as is the case with 576 multiplied by 684. Since all integers are rational numbers (they can be expressed as the ratio of two integers), the product, in this case, is also a rational number.

Therefore, the product of 576 and 684 is rational because it can be expressed as a ratio of the two integers (the product itself over 1), fitting the definition of a rational number which includes integers, fractions, finite decimals, and repeating decimals.

Final answer:

The product of 576 and 684 is a rational number because the multiplication of two integers always results in another integer.

Explanation:

The question asks whether the product of 576 and 684 is rational or irrational. A rational number is a number that can be expressed as a ratio of two integers. Since both 576 and 684 are integers, their product will also be an integer, as the multiplication of two integers always results in another integer. Therefore, this product is definitely a rational number. An irrational number, by contrast, cannot be expressed as such a ratio, and is typically found with non-repeating, non-terminating decimal expansions or with numbers like the square root of a non-square number. However, as there is no square root or any other irrational operation involved in multiplying 576 and 684, the result is rational.

Answer:

0.04

Step-by-step explanation:

0.0398

when rounding if its over 5 you round up if its under you round down

The number 0.0398 rounded to the nearest cent; is 0.04.

According to the question;

To round off to the nearest cent;

We must know that cents is synonym for Hundredths;

Consequently; 0.0398 rounded to the nearest cent is 0.4

Read more:

https://brainly.com/question/21938149

Answer:

He will order 72 pairs of high tops

Explanation:

Given the store owner sells two pairs of running shoes for each pair of high tops

For every pair of high tops, he sells 2 pairs of running shoes

1 high top = 2 running shoes

He has planned to order 144 pairs of shoes

Therefore, 144 pair of running shoes = 144/2 = 72 pairs of high tops

Therefore, he will order 72 pairs of high tops

Answer:

1

Step-by-step explanation:

Greatest Common Factor is the highest number that divides exactly into two or more numbers. It is the "greatest" thing for simplifying fractions.

No number (except 1) is divisible by both 35, 15, and 3. Therefore, the GCF is 1.

Answer:

35: 5×7               GCF: 5×3=15

15:  5×3

 3:  1×3

Step-by-step explanation:

 35               15              3

/     \            /    \           /    \

5 × 7         3  ×  5        1  ×  3

C. 3.16 is the right answer

Step-by-step explanation:

The distance formula used in coordinate geometry is derived from the Pythagorean theorem.

The distance formula is give by:

[tex]d=\sqrt{(x_2-x_2)^2+(y_2-y_1)^2}[/tex]

Here (x1,y1) are the coordinates of first point and (y1,y2) are the coordinates of second point

Here,

(x1,y1) = (5,-3)

(x2,y2) = (6,0)

Putting the values in the formula

[tex]AB = \sqrt{(6-5)^2+(0-(-3))^2}\\=\sqrt{(1)^2+(0+3)^2}\\=\sqrt{(1)^2+(3)^2}\\=\sqrt{1+9}\\=\sqrt{10}\\=3.16\ units[/tex]

The distance between two points is 3.16 units.

Hence,

C. 3.16 is the right answer

Keywords: Coordinate geometry, Pythagorean Theorem

Learn more about Pythagorean theorem at:

#LearnwithBrainly

Answer: 1/30

Step-by-step explanation:

Answer:

The number of blocks in the nth figure will be (3n + 1).

Step-by-step explanation:

See the attached figure where few arrangements are there.

The number of blocks in the first arrangement is (3 + 1)

Now, the number of blocks in the second arrangement is (3 × 2 + 1)

Again, the number of blocks in the third arrangement is (3 × 3 + 1)

So, the pattern says that the number of blocks in the nth arrangement will be (3 × n + 1) = (3n + 1) (Answer)

Answer:

The correct answer is A. Draw a graph that joins the points (100, 120) and (50, 95) and has a slope = 0.50

Step-by-step explanation:

1. Let's review the information given to us for solving the question:

Total of megabytes of date used = x

Total monthly charges = y

x₁ = 50 Megabytes, x₂ = 100 Megabytes

y₁ = US$ 95, y₂ = US$ 120

2. Let's find out the best description of the steps to draw the graph and the slope.

Slope = (y₂ - y₁)/ (x ₂- x₁)

Slope = 120 - 95/ 100 - 50

Slope = 25/50 = 1/2 = 0.50

Remember that the coordinates of the points in the line are written this way:

(x, y) ⇒ (Total of megabytes of date used, Total monthly charges)

The correct answer is A. Draw a graph that joins the points (100, 120) and (50, 95) and has a slope = 0.50

Answer:

a

Step-by-step explanation:

100% on test

Answer:

19

Step-by-step explanation:

8+4=12 +7=19

Answer:

simplify the expression:  2x+2

Step-by-step explanation:

The equivalent expression of the given expression is is 2 + 2x

To solve this expression, we should simply proceed to multiply the value outside the bracket and simplify.

steps required;

This is done to add up or subtract similar or like values with each other.

[tex]\frac{1}{5}(15+10x-5)=\frac{1}{5}(15-5+10x)=\frac{1}{5}(10+10x)\\[/tex]

Multiply the entire value inside the bracket by 1/5.

[tex]\frac{1}{5}(10+10x)=2+2x[/tex]

This is the simplified expression of what we are given.

The equivalent expression is 2 + 2x.

Learn more about expressions here;

https://brainly.com/question/2972832

Answer:

$4.86

Step-by-step explanation:

2.97/11 =.27                 .27 x 18= 4.86

Answer:

4.86

Step-by-step explanation

Answer:

constant

It is the unchanging value, and the coefficiant is the numbers with the variables because the variable changes the number. The variable is the letter that is either alone or with a number.

Answer:57

Step-by-step explanation:

Conversion factor is

1 US bushel = 4 US pecks

76 rows x 3 pecks= 228 pecks

228 pecks / 4 = 57

To plant 76 rows of seed potatoes, with 3 pecks per row, we would need a total of 57 bushels, as there are 0.75 bushels per row and this is multiplied by the number of rows.

To answer this question, we first need to understand the relationship between bushels and pecks. There are 4 pecks in one bushel. If 3 pecks are planted per row, then each row requires 0.75 bushels (because 3/4 = 0.75). So, to find the number of bushels needed for 76 rows, we multiply 76 by 0.75.

The final calculation is: 0.75 bushels/row * 76 rows = 57 bushels.

https://brainly.com/question/31419854

#SPJ2

The solution to the linear equation d – 10 – 2d + 7 = 8 + d – 10 – 3d is d = 1.

An equation is an expression that shows the relationship between two or more numbers and variables.

Given the equation:

d – 10 – 2d + 7 = 8 + d – 10 – 3d

Simplifying:

-d - 3 = -2d - 2

Collecting like terms:

-d + 2d = -2 + 3

d = 1

The solution to the linear equation d – 10 – 2d + 7 = 8 + d – 10 – 3d is d = 1.

Find out more on Equation at: https://brainly.com/question/2972832

Answer:

At least 55 tickets must be sold to cover the remaining cost of the party.

Step-by-step explanation:

Total money needed for the party  = $350

The money already with the committee  = $75

Now, the money yet to be collected = Total Party Budget - Money present

                                                              = $350  = $75  = $275

Now, the cost of 1 ticket  = $5

Let us assume the number of tickets sold to cover the cost of party = m

⇒ The cost of m tickets   = 5 m

The renaming cost = Total cost of m tickets

or, 5 m =  $275

⇒ m = 275/5  = 55

or, m = 55

Hence, at least 55 tickets must be sold to cover the remaining cost of the

party by Josef.

[tex]\bf \begin{array}{cll} \stackrel{ordinal}{position}&\stackrel{term}{value}\\ \cline{1-2} 1&12\\ 2&12+d\\ 3&12+d+d\\ 4&12+d+d+d\\ &12+3d \end{array}\qquad \implies ~\hfill \begin{array}{llll} \stackrel{\textit{4th term}}{12+3d}~~=~~\stackrel{\textit{4th value}}{3}\\\\ 3d=-9\implies d = \cfrac{-9}{3}\\\\ \stackrel{\textit{common difference}}{d = -3} \end{array}[/tex]

well, we know the common difference is -3, to go from the 4th term to the 8th term, we need to add "d" 4 times or namely 3+4(-3), likewise to go from the 13th term to the 19th term we have to add "d" 6 times, or namely -24 + 6(-3).

[tex]\bf \stackrel{\textit{8th term}}{3+4(-3)}\implies 3-12\implies -9 \\\\\\ \stackrel{\textit{19th term}}{-24 + 6(-3)}\implies -24-18\implies -42[/tex]

Final answer:

The value of the discriminant is 36, which means that the quadratic equation -2x = -8x + 8 has two distinct real solutions.

Explanation:

The given equation -2x = -8x + 8 can be rearranged into a quadratic equation: -8x + 8 + 2x = 0. Combining like terms gives: -6x + 8 = 0. To find the discriminant of this quadratic equation, we look at the coefficient of x^2, which is 0. Since the discriminant D = b^2 - 4ac, where a = coefficient of x^2, b = coefficient of x, and c = constant term, in this case, a = 0, b = -6, and c = 8. Plugging these values into the formula, we have: D = (-6)^2 - 4(0)(8) = 36 - 0 = 36.

The value of the discriminant is 36. The discriminant tells us about the number of real number solutions the equation has. If the discriminant is positive (D > 0), then the equation has two distinct real solutions. If the discriminant is zero (D = 0), then the equation has one real solution. If the discriminant is negative (D < 0), then the equation has no real solutions.

In this case, since the discriminant is positive (D = 36), the quadratic equation has two distinct real solutions.

Answer:

3+(axb)

Step-by-step explanation:

The algebraic representation of the expression The sum of 3 times a and b is 3a + b

From the question, we have the following parameters that can be used in our computation:

The sum of 3 times a and b

By definiton:

sum means plus

Using the above as a guide, we have the following:

3 * a + b

When solved, we have

3a + b

Read mroe about expressions at

brainly.com/question/30492964

#SPJ3

Question

Translate the sentence into an algebraic expression

The sum of 3 times a and b

The total number of boxes will be 60 that the girls have sold in one hour.

The ratio is defined as a relationship between two quantities, it is expressed as one divided by the other.

We have to determine the total number of boxes will the girls have sold in one hour

Let Kate sold x boxes in 60 minutes

As per the given situation, we can write the ratio would be as:

27 boxes : 45 minutes = x boxes :  60 minutes

⇒ 27/45 = x/60

Apply the cross-multiplication operation,

⇒ x = (60×27)/45

⇒ x = 36

Let Miley sold y boxes in 60 minutes

⇒ 12/30= y/60

Apply the cross-multiplication operation,

⇒ y = (12×60)/30

⇒ y = 24

So, the total number of boxes = x + y = 36 + 24 = 60

Thus, the total number of boxes will be 60 that the girls have sold in one hour.

Learn more about the Ratio here:

brainly.com/question/1504221

#SPJ2

Final answer:

Kate sells 36 boxes and Miley sells 24 boxes in one hour. So, they will have sold a total of 60 boxes in one hour.

Explanation:

To find the total number of boxes sold by both Kate and Miley in one hour, we need to calculate the rate at which each of them sells boxes. Kate sells 27 boxes in 45 minutes, which can be converted to 0.6 boxes per minute (27 boxes / 45 minutes = 0.6 boxes per minute). Miley sells 12 boxes in 30 minutes, which can be converted to 0.4 boxes per minute (12 boxes / 30 minutes = 0.4 boxes per minute).

To find the total number of boxes sold in one hour, we add the number of boxes each of them sells in one minute and multiply it by 60 (the number of minutes in an hour). Kate sells 0.6 boxes per minute, so in one hour she would sell 0.6 boxes/minute * 60 minutes = 36 boxes. Miley sells 0.4 boxes per minute, so in one hour she would sell 0.4 boxes/minute * 60 minutes = 24 boxes. Therefore, the total number of boxes sold by both Kate and Miley in one hour would be 36 + 24 = 60 boxes.

Answer:

70 would be the answer to this question....apparently.

Step-by-step explanation:

Answer:

70

Step-by-step explanation:

25 divided by 1750 = 70

subtract 1750 to 175 =

00 subtract 00 = 00

overall 70 is your answer in long division