9. 12 in. 24 in. 8 in. 20 in.​

The final inequality  that represents how many blankets Elle can make in her workshop would be:

3x ≤ 52 and x ≥ 16

In mathematics, an inequality is a statement that compares two values or expressions using an inequality symbol such as "<" (less than), ">" (greater than), "<=" (less than or equal to), ">=" (greater than or equal to), or "≠" (not equal to).

An inequality indicates that one value or expression is smaller, greater, or not equal to the other value or expression.

 The inequality "y <= 10" states that the value of "y" is less than or equal to 10.

Let "x" be the number of blankets Elle can make in her workshop.

Since each blanket requires 3 ft. of material, the total amount of fleece required for "x" blankets would be 3x ft.

We know that Elle has 52 ft. of fleece in her workshop, so we can set up the inequality:

3x ≤ 52

This inequality states that the amount of fleece required for "x" blankets must be less than or equal to the amount of fleece Elle has available.

To satisfy the condition of making at least 16 blankets, we can add the requirement that "x" must be greater than or equal to 16.

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Answer: 29

Step-by-step explanation:

40 - 5 = 35

35 - 6 = 29

So, 29 + 6 = 5 less than 40

Answer: The number is 29 and the Sum is 35

Step-by-step explanation:

How you set up the equation 6+x = 40-5

Subtract 5 from 40 and you get 6+x = 35

Now subtract 6 from 35 to find your missing variable x = 35-6

x = 29

Option C is correct. Meta-analysis takes all of the correlations found in studies of a particular relationship and calculates a weighted average of them.

In order to identify results on a broad scale, meta-analysis looks for common threads among various studies and applies weights to them. In essence, it expands on the numerous research that might be conducted on a certain relationship topic. For instance, one particular relationship might be investigated using various methods at various points in time. A meta-analysis attempts to compile all of these studies, assign weights to each study, and then determine the outcomes that are on a meta-level, or bigger picture, after taking into account all of the various correlations.

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Answer:

The speed of the first ship= 30 knots The speed of the second ship= 20 knots The first ship started at noon and after three hours second ship started. The direction of the first ship is along South and that of second ship is East.

Step-by-step explanation:

This equation can be used to predict the balance of the savings account after t years.

Equation is a physical and mathematical statement that describing physical phenomena and the relationship between different physical quantity typically consist of variable simple presenting physical quantity and then it personal variable may be pointed such as your energy.


We can graph the data in a line graph to visualize the relationship between the two variables. The graph will have time (t) represented on the x-axis and the balance of the savings account (m) represented on the y-axis. The graph will demonstrate that the total balance of the two accounts increases over time.

The equation that models this data can be found by using the slope-intercept form, y = mx + b. Here, y represents the balance of the savings account (m), x represents the time (t), m is the slope of the line, and b is the y-intercept. To find the equation, we can first find the slope, which is the change in y divided by the change in x. This is (2,800 - 500) / (3 - 0) = 2,300 / 3 = 766.67. The y-intercept is the balance of the savings account when t = 0, which is 500. We can now write the equation as m = 766.67x + 500. This equation can be used to predict the balance of the savings account after t years.

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The conversion of 184 centimetres in feet is equals to the 6.03 feet. Thus, conversion factor from centimetres to feet is 6.03/184 = 0.032.

A conversion factor is a number used to convert one set of units into another set of units by multiplication or division. If conversion is necessary, a conversion factor suitable for equivalent value must be used. For example, to convert meters to centimetres, the appropriate conversion value is 100 centimetres equal 1 meter. It includes converting a value from inches to millimeters, for distance from miles to kilometers, feet or other units. How to convert centimeters to feet : One meter is a measure of length and equals approximately 3.28 feet. Thus conversion factor is 3.28 feet. So, 184meters

= 184× 3.28 feet

= 603.52 feet --(1)

But we need to convert 184 centimeters to feet. So, change meters to centimeters. As you know, 1 meter = 100 centimeters, so 184 meters = 18400 centimeters --(2). Now from equations (1) and (2),

18400 centimeters = 603.52 feet,

Divide both parts by 100,

=> 184 centimetres = (603.52/100 ) feet

= 6.03 feet

Hence required value is 6.03 feet.

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The product of (3 x 107) and (2 x 107) is 6.8694 x 10^4

To find the product of (3 x 107)and (2 x 107), we can use the distributive property of multiplication which states that the product of a number and a sum is equal to the sum of the products of the number and each term in the sum. In this case, we can multiply the numbers outside the parentheses first, and then multiply the result by the common factor of 107 to simplify the expression:

(3 x 107) x (2 x 107) = 6 x (107 x 107)

Next, we can calculate the product of 107 and 107, which is 11,449:

6 x 11,449 = 68,694

In scientific notation, this can be written as:

= 6.8694 x 10^4

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The surface area for the given radius and height are For r = 5 and h = 2: TSA = 2π(5)(5+2) = 2π(5)(7) = 70π sq.cm. For r = 9 and h = 11: TSA = 2π(9)(20) = 360π sq. cm.

The entire area a cylinder occupies in three dimensions is known as the cylinder's area. The combined areas of the two circular bases and the curving surface make up the cylinder's surface area. In right cylinders, the axis line creates a right angle to the base, and the two circular bases are perfectly over one another. It is referred to as an oblique cylinder if one of the circular bases is misaligned and the axis does not make a right angle with the base.

The curving surface that sits in the center of the two circular bases opens to reveal a rectangular shape. A lateral surface is another name for this curved surface.

The total surface area of the cylinder is given by the formula:

TSA = 2πr(r + h)

For r = 5 and h = 2:

TSA = 2π(5)(5+2) = 2π(5)(7) = 70π sq.cm

For r = 9 and h = 11:

TSA = 2π(9)(20) = 360π sq. cm

For r = 9 and h = 8:

TSA = 2π(9)(17) = 306π sq. cm

For r = 4 and h = 7:

TSA = 2π(4)(11) = 88π sq. cm

For r = 6 and h = 5:

TSA = 2π(6)(11) = 132π sq. cm.

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The required two cords together is 5 1/8 yards long, as of the given condition.

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Here,
We can add the two cords together in different ways:

2 6/8 yards = 22/8 yards

2 3/8 yards = 19/8 yards

Total length in eighths of a yard: 22/8 + 19/8 = 41/8 yards

Simplifying 41/8 yields 5 1/8 yards.

So the two cords together are either 4 19/36 yards or 5 1/8 yards long.

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The trigonometric ratios are presented in this answer.

The three trigonometric ratios are defined as follows:

The hypotenuse is the slanted segment connecting the horizontal segment and the vertical segment.

The adjacent side to an angle x is the side length between the angle x and the angle of 90º.

The opposite side to an angle x is the side length between the angle 90 - x and the angle of 90º.

The problem is incomplete, hence the important concepts of trigonometric ratios were presented.

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She can compare the original design with its reflection by plotting both designs on the same graph. If the two designs are identical, then the design is symmetric across the x-axis.

To show that a design is symmetric across a line using coordinates, you can use the following steps:

Here's an example of how to use coordinates to show that a design is symmetric across the x-axis:

Suppose Yuson has a design with three points: A(2, 4), B(4, 6), and C(6, 4), and she drew a dashed line along the x-axis to represent the line of symmetry.

To check if the design is symmetric across the x-axis, she can reflect each point across the x-axis to obtain the following new coordinates: A'(2, -4), B'(4, -6), and C'(6, -4).

She can then compare the original design with its reflection by plotting both designs on the same graph. If the two designs are identical, then the design is symmetric across the x-axis.

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Line a could also be referred to as line EC.

In mathematics, a line can be named in a variety of ways depending on the context. One common way to name a line given a starting point and an ending point is to use the names of the two points.

For example, if the starting point is labeled A and the ending point is labeled B, we can refer to the line as "line AB" or "line BA" (the order doesn't matter, as the line extends in both directions).

In this case therefore, line a can be referred to as line EC which are the letters at the starting and ending points.

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The actual distance between M and μ is measured by the numerator of the z-score test statistic.

The distribution of the z-score test is normally distributed under the null hypothesis, making it a statistical test. The mean is tested for a known standard deviation using this method. The z score (z), which is determined by the following equation, is the difference between the sample mean and the population mean in units of standard error. The distribution of the z-score test is normally distributed under the null hypothesis, making it a statistical test. The mean is tested for a known standard deviation using this method. The z score (z), which is determined by the following equation, is the difference between the sample mean and the population mean in units of standard error. The equation is z = M - μ / σ/√n, where n is the number of samples in the population, is the mean, o is the standard deviation, and σ/√n is the standard error. The sample mean's (μ) distance from the population mean serves as the z score's numerator (M).

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[tex]{ \qquad \qquad \huge \rm \underline{ \underline{ \Répondre}}} [/tex]

lets find the equation of line in two point form, considering points (0 , 0) and (-3 , 4)

[tex]\qquad \rm\dashrightarrow \:y - 0= \dfrac{4 - 0}{ - 3 - 0} (x -0)[/tex]

[tex]\qquad \rm\dashrightarrow \:y = - \dfrac{4 }{ 3 } x [/tex]

That's the required equation ~

You can also simply it as :

[tex]\qquad \rm\dashrightarrow \:3y= - 4x[/tex]

[tex]\qquad \rm\dashrightarrow \:4x + 3y = 0[/tex]

Answer: the answer is 48

Step-by-step explanation:

Answer: 48

Step-by-step explanation: A triangles formula is base x height divided by 2, therefore we will do first 8 x 12 which equals 96, and divide by 2, giving us 48.

The converted value using standard formula from Fahrenheit to Celsius is equal to 45 Fahrenheit to 7.22222 degrees Celsius.

Standard formula which relates Fahrenheit and Celsius using the standard formula as mentioned below:

(°F − 32) × 5/9 = °C

We have to Substitute the value 45 Fahrenheit in the above mentioned Standard formula of the temperature to get into degrees Celsius ,

= ( 45°F − 32) × 5/9

= 13 × 5/9

= 65 / 9

= 7.22222 degrees Celsius

Therefore, the conversion value of 45 Fahrenheit into the Celsius is written as 7.22222 degrees Celsius .

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Roberto spent 41 more minutes doing homework than he did reading and making his lunch.

What is the basic algebraic expression?

An algebraic expression is when we use numbers and words in solving a particular mathematical question.

First, let's convert all the times to minutes:

Now, we can calculate the difference:

90 - (40 + 9) = 41

Hence, Roberto spent 41 more minutes doing homework than he did reading and making his lunch.

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The quotient of (5+21) (6-4) and (2+1) is 13/3, expressed in its simplest form

The quotient of two numbers is a way of expressing the ratio of their values. It is the result of dividing one number by the other, and can be written as a fraction or as a decimal.

The quotient of 4 and 8 is 0.5, since 4 divided by 8 is 0.5.

The quotient of (5+21) (6-4) and (2+1) can be expressed as follows:

First, we need to solve each parenthesis separately. The first parenthesis is (5+21), which equals 26. The second parenthesis is (6-4), which equals 2. Therefore, the quotient of (5+21) (6-4) is 26/2, which can be simplified to 13/1.

Now, we need to divide 26/2 by (2+1). The result is 13/3, which is the final quotient.

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In general, whether or not an individual needs to file a tax return depends on a number of factors, including income, filing status, and age.

In the United States, for example, the IRS sets income thresholds each year, and individuals whose income exceeds these thresholds are generally required to file a tax return.

However, there are many exemptions and exceptions to this general rule, and individuals should consult the IRS website or a tax professional for more information specific to their situation.

Other countries may have different rules and requirements for filing tax returns, so it's important to check with the tax authority in your own country for specific guidance.

P.S Your question is incomplete, so I gave you a general overview to help you better understand filing tax returns.

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Answer:

a, d=90 degre

and b, b=90degree

Answer: Use the Pythagoream theorem: a²+ b² = c²

Step-by-step explanation: note that c = the hypotenuse

2² + 5² = c²

Simplify

4 + 25 = c^2

Combine like terms

29 = c^2

isolate the c. Root both sides

√29 = c

c = 5.38516481

5.39 is your answer

The shortest distance is 5.39 miles  between your home and the mall

The length along a line or line segment between two points on the line or line segment.

Distance=√(x₂-x₁)²+(y₂-y₁)²

The distance from your home to the school is 2 miles south, which means the y-coordinate of the school is -2.

The mall is located 5 miles west of the school, which means the x-coordinate of the mall is -5.

So, we have two points on the coordinate plane: your home at (0, 0) and the mall at (-5, -2).

The distance between them can be found using the distance formula:

Distance=√(x₂-x₁)²+(y₂-y₁)²

=Distance=√(-5-0)²+(-2-0)²

=√25+4

=√29

=5.39 units

Hence,  the shortest distance is 5.39 units

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The picture and the board are not mathematically similar because they have different areas when calculate which are = 80cm² and 120cm² respectively.

The dimensions of the picture is as follows;

The length = 8cm

The width = 10cm

The area of the picture = 8×10 = 80cm²

The dimensions of the board is as follows;

The length = 10cm

The width = 12cm

The area of the board = 12×10 = 120cm²

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The weighted average ROR of the investments, based on the provided investment portfolio, would be 2.1%.

By multiplying each data point by its weight and adding the resulting products, the weighted average is calculated. The weights for all the data points are then added. Divide the weight*value products by the total weights to finish. You've successfully determined the weighted mean.

Find the overall portfolio value first:

= 2,600 + 3,700 + 575 + 1,225

= $8,100

The investments' weighted average Rate of Return (ROR) is:

= (2,600 / 8,100 x 1.7%) + (3,700 / 8,100 x 3.2%) + (575 / 8,100 x 12.9%) + (1,225 / 8,100 x -5.6%)

= 2.076

= 2.1%.

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Answer:

The angles are 178.1° and 1.9°

Step-by-step explanation:

Supplementary angles add up to 180°
Let the angles be x and y with x being the larger angle

x = 176.2 + y
x - y = 176.2         (1)

Since they add up to 180 we also get
x + y = 180           (2)

Equations added: (1) + (2)

x - y + x + y = 176.2 + 180

2x = 356.2

x =  356.2/2 = 178.1°

y = 180 - 178.1 = 1.9°

The conversion of 21 km to miles is 13.04848 miles.

Kilometer (km) and mile are both units of measurement used to express distance or length.

Kilometer is a metric unit of distance commonly used in the International System of Units (SI) and is equal to 1000 meters.

To convert 21 kilometers (km) to miles, we can use the conversion factor of 1 km = 0.621371192 miles.

So, we can multiply 21 km by 0.621371192 miles/km to get the equivalent distance in miles:

21 km × 0.621371192 miles/km = 13.04848 miles (rounded to five decimal places)

Therefore, 21 km is approximately equal to 13.04848 miles.

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Answer: Decay

Step-by-step explanation:

95 kg is approximately equal to 209.4390 pounds ( rounded to four decimal places )

The conversion factor to convert kg to lbs is 2.20462

1 kg = 2.20462 pounds

The conversion is the process of changing the unit of one quantity to another units  

The conversion factor is defined as the number that is used to change one unit to another units by multiplying or dividing

The mass in lbs = The mass in kg × conversion factor

Substitute the values in the equation

1 kg = 2.20462 pounds

95 kg = 95 × 2.20462

Multiply the numbers

= 209.4390 pounds  ( rounded to four decimal places )

Therefore, 95 kg is 209.4390 pounds

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The Alternate Exterior Angles Theorem states that when a pair of parallel lines is intersected by a transversal, the pairs of alternate exterior angles formed on opposite sides of the transversal are congruent.

If line AB and line CD are parallel, and line EF intersects both lines at points G and H respectively, then the angles formed on opposite sides of line EF and on the exterior of the parallel lines are congruent.

The Alternate Exterior Angles Theorem states that when a pair of parallel lines is intersected by a transversal, the pairs of alternate exterior angles formed on opposite sides of the transversal are congruent.

In symbols, the theorem can be written as:

∠1 ≅ ∠4

where ∠1 and ∠4 are alternate exterior angles.

This theorem is useful in solving problems involving angles and parallel lines, and it is commonly used in geometry proofs.

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Standard conversions state that 375 cm is equivalent to 147.6 inches.

A fixed magnitude of a quantity that serves as a reference point for measuring other quantities of the same sort is referred to as a unit of measurement. Convention or legislation establish and adopt it. Every other amount of that sort can be expressed as a multiple of the unit of measurement.

One inch is 2.54 cm long.

We can compose,

2.54 cm equals one inch.

1 cm equals 0.54"

Thus, 375 cm will be equal to 375/2.54 inch.

175 cm = 147.6 in.

So, 375 cm equals 147.6 inches in inches.

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Complete question - what is 375cm in inches?