3 1/2 is = ?/2 ????????????????????????????

2 21/22 feet of more fabric is required to make pillows versus a rug.

A fraction is written in the form of p/q, where q ≠ 0.

Fractions are of two types they are proper fractions in which the numerator is smaller than the denominator and improper fractions where the numerator is greater than the denominator.

Given, 17/11 ft of fabric is needed to make a rug, while 9/2 ft of fabric is required to make pillows.

Also given that producing a rug is 16/7 times faster than pillows.

Therefore, The amount of extra fabric needed to make a pillow compared to a rug is,

= (9/2 - 17/11).

= (99 - 34)/22.

= 65/22 feet.

= 2 21/22 feet.

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The solution of the linear equations −7x + 3y = −48 and 3x + 5y = −36 will be (3, −9)

The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.

The equations are given below.

−7x + 3y = −48           ...1

3x + 5y = −36            ...2

Multiply equation 1 by 5 and equation 2 by - 3, then we have

−35x + 15y = −240

−9x − 15y = 108

Add both equations, then we have

−44x = −132

x = 132 / 44

x = 3

Then the value of 'y' is given as,

3(3) + 5y = −36

9 + 5y = −36

5y = −45

y = −9

The solution of the linear equations −7x + 3y = −48 and 3x + 5y = −36 will be (3, −9)

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Answer:

0.9, 0.6 7/10, 11/100, 0.21, 0.35

Step-by-step explanation:

The missing step of the solution is : Simplify by combining like terms: Option A

You should understand that these are the terms that contain the same variable which has the same power.

The  given question,

In step 2, the left side of the equation is  3/2 - 2x

We get 3/2  by adding 1/2 and 1 on the left side of the equation  1/2-2x+1=-13/2

As  1/2 and 1 are constants and all constant terms are like terms.

The second step would be simplify by combining like terms.

Therefore, the missing step of the solution is : Simplify by combining like terms.

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The vertical value in a pair of coordinates. How far up or down the point is. The Y Coordinate is always written second in an ordered pair of coordinates (x,y) such as (12,5). In this example, the value "5" is the Y Coordinate.

The length of NP is 6.28 cm

A triangle is a two-dimensional geometric shape with three sides and three angles. It is one of the basic shapes in geometry and has many different properties that can be studied. Triangles can be classified into several different types based on the length of their sides and the size of their angles.

The most basic type of triangle is an equilateral triangle, which has three sides of equal length and three equal angles. Another common type of triangle is the right triangle, which has one right angle (90 degrees) and two other angles that add up to 90 degrees. Scalene triangles have no sides or angles of equal length, while isosceles triangles have at least two sides of equal length.

Triangles have many interesting and useful properties that can be used in geometry and other areas of mathematics. For example, the Pythagorean Theorem states that in a right triangle, the sum of the squares of the lengths of the two shorter sides is equal to the square of the length of the longest side. This theorem can be used to find the length of a missing side in a right triangle.

To find angle P and angle M, we can use the fact that the sum of the angles in a triangle is 180 degrees.

angle P + angle M + 46 = 180

angle P + angle M = 134

Next, we can use the law of cosines to find angle P. Let's call the length of NP "x".

cos(angle P) = (MN² + MP² - x²) / (2 × MN × MP)

We can use the formula for cosine to solve for angle P:

angle P = arccos((MN² + MP² - x²) / (2 × MN × MP))

Substituting in the values for MN and MP:

angle P = arccos((4² + 7² - x²) / (2 × 4 × 7))

Next, we can use the Pythagorean theorem to find x:

x^2 = MN^2 + MP^2 - 2 * MN * MP * cos(angle P)

x^2 = 4^2 + 7^2 - 2 * 4 * 7 * cos(angle P)

x² = 49 - 56 × cos(angle P)

Substituting in the value we found for angle P:

x² = 49 - 56 × cos(arccos((4² + 7² - x²) / (2 × 4 × 7)))

Solving for x, we get:

x = sqrt(49 - 56 × cos(arccos((4² + 7² - x²) / (2 × 4 × 7))))

x = sqrt(49 - 56 × cos(arccos(33 / 28)))

x = √(49 - 56 × (33 / 28) / √(33² + 28²))

x = √(49 - 56 × 33 / 28 / √(33^2 + 28^2))

Finally, we can use the value we found for x to find angle M:

angle M = 134 - angle P

angle M = 134 - arccos((4² + 7² - x²) / (2 × 4 × 7))

So the final answers are:

angle P = arccos((4² + 7² - x²) / (2 × 4 × 7)) = 68.93 degrees

angle M = 134 - angle P = 65.07 degrees

length of NP = x = sqrt(49 - 56 × 33 / 28 / √(33² + 28²)) = 6.28 cm

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The statement about the image below that is true is option A. Line UR and Line VW are parallel.

Parallel lines are two lines that are always the same distance apart and never meet, regardless of how far they are extended.

A perpendicular line, on the other hand, is a line that intersects another line at a right angle (90 degrees)

Therefore, the statement about the image below that is true is option A. Line UR and Line VW are parallel. It could then be concluded that the correct answer is option A.

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The complete question goes thus:

Which of the following statements about the image below is true?

A. Line UR and Line VW are parallel.

B. The measure of angle SWX is 72°

C. Line UR and Line VS are perpendicular..

D. Angle SWR and angle WRS are supplementary.

Answer:

Good luck man.

Step-by-step explanation:

Ima be honest, I got no idea.

Jada stacked 23 boxes inside the container.

Cube is a solid three-dimensional figure, which has 6 square faces, 8 vertices and 12 edges.

Given that, Jada put some cube-shaped boxes having lengths 20 in, in a cubed container has side lengths of 60 inches in.

After, Jada stacks the boxes inside the container, there are still 32,000 in³ of empty space remaining in the container.

We need to find the number of the boxes in the container.

Volume of cube = (side)³

Volume of container = 60³ = 216000 in³

Volume of the container covered by stacking the boxes =

216000 - 32000

= 184000 in³

Volume of each box = 20³

= 8000 in³

Number of boxes in the container = volume of the container covered by stacking / volume of each box

Number of boxes = 184000 / 8000

= 23

Hence, Jada stacked 23 boxes inside the container.

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Answer:

3 rd choice

Step-by-step explanation:

If you flip ΔABC over and lay it over ΔXYZ, you'll see how the sides correspond:

AB≅XZ

BC≅ZY

CA≅YX

just a quick addition to "MelRUZ" great reply above.  Check the picture below.

The weighted average of the Coen's test scores is calculated to be 73.75

Each data point is multiplied by its weight before being added together to determine the weighted average. After that, add the weights for each data point. Last but not least, divide the weight*value products by the total weights.

The weighted average is calculated as below

Weighted average = (80 * 1 + 90 * 2 + 70 * 5 + 90 * 8) / (1 + 2 + 5 + 8)

Weighted average = 73.75

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Answer:

First Class Group is given as 25-29 Class size = 29-25=4 Make the reminding classes of same size till 89-93 Count the values and write the frequency against the respective

Inga is solving 2x² + 12x – 3 = 0 therefore the steps which she could use to solve the quadratic equation include the following below:

This is referred to as an algebraic equation of the second degree in x and its standard form is ax² + bx + c = 0

Solution to the quadratic equation

2x² + 12x - 3 = 0

2x² + 12x = 3

Divide by 2

x² + 6x = ³/₂

(x + 3)² = ³/₂ + 3²

x² + 6x + 9 = 9 + ³/₂

2(x² + 6x + 9) = 18 + 3

Thus, the steps that she could use to solve the quadratic equation is determined as option 1, 3 and 4.

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f(x)=x is the parent function of the given function  f(x) = -2x + 2

A relation is a function if it has only One y-value for each x-value.

The given function is f(x)=-2x+2

We have to find the parent function of the given function.

A parent function is the simplest function of a family of functions that preserves the definition of the entire family.

f(x)=x is the parent function because from this function we can make transformations that allow us to obtain the function f(x) = -2x + 2

Hence, f(x)=x is the parent function of the given function  f(x) = -2x + 2

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Answer:

Step-by-step explanation:

its 18+27 because you have to do 6x3 wich is 18 and add 27 to 18

Answer:

4

Step-by-step explanation:

Mr. Black was driving at 60 mph to his friend's house.

Let's call Mr. Black's speed to his friend's house "x".

The trip back took x - 20 mph, since he was driving 20 mph slower.

The trip back took 1 hour longer, so it took 2 + 1 = 3 hours.

Using the formula for distance = rate x time, we can set up the equation:

x * 2 = (x - 20) * 3

Expanding and simplifying, we get:

2x = 3x - 60

Subtracting 2x from both sides:

0 = x - 60

Adding 60 to both sides:

x = 60 mph

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Answer:

8 vacation days.

If every game he plays, he gets 1/2 of a vacation day, then to find, we just will multiply the amount of games by 1/2 of a vacation day.

10 * 1/2 = 5

Plus, he already has 3, so just add three to get the total.

5 + 3 = 8

Step-by-step explanation:

Hope it helps! =D

Therefore , the solution of the given problem of linear equation comes out to be  it is true for some n=k, where k represents one of the values for which we want to prove the proposition.

The equation y=mx+b serves as the basis for a regression model curve. The slope is B, and the y-intercept is m. Even if y or y were separate components, the foregoing sentence is occasionally referred to as a "mathematical formula combining two variables." Bivariate linear equations only have two variables. Application problems involving linear equations have no known solutions. The formula for a simple set of equations is Y=mx+b.

Here,

given :

=> n = k+2

In such situation, you can still use induction to demonstrate this claim for any numbers n2. (If you want to give it a try, it's a nice workout.) In the base situation, n=2 rather than n=1 would exist.

In order to be clear, I'd want to point out that the logical step does not consist of 'proving the assertion for n=k+1 given it is true for n=k.

The inductive step is to demonstrate that the assertion is true for n=k+1 after assuming that it is true for some n=k, where k represents one of the values for which we want to prove the proposition.

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Answer:

Assume the formula is true for some other value.

Step-by-step explanation:

It's the second step

n=k+2 isn't a thing

n=k "This is not part of a proof by mathematical induction."

Assume that the formula is true for the (k + 1) term. "This is not part of a proof by mathematical induction.

A function: 9x² - y² = 1.

Differentiating with respect to x is 18x - 2y dy/dx = 0.

The correct option is B.

Mathematicians use a procedure called differentiation to determine a function's instantaneous rate of change based on one of its variables.

Given:

A function: 9x² - y² = 1.

Differentiating with respect to x,

we get,

d/dx(9x² - y²) = d/dx(1)

18x - 2y dy/dx = 0

Therefore, the derivative is 18x - 2y dy/dx = 0.

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On solving the provided question, we can say that the inequality formed is 1 ≥ 2(3)-5 => 1 ≥ 1

An inequality in mathematics is a relationship between two expressions or values that is not equal. Thus, imbalance leads to inequality. An inequality creates the link between two values that are not equal in mathematics. Egality is distinct from inequality. When two values are not equal, most commonly use the not equal sign (). Different inequalities are used to contrast values, no matter how little or large. Many simple inequalities may be resolved by modifying the two sides until the variables are all that remain. But a number of things contribute to inequality: Negative values on both sides are divided or added. Trade off the left and right.

The ordered pair is (3, 1)

Substitute (x, y)=(3, 1) in the given inequality, we get

the inequality formed is

1 ≥ 2(3)-5

1 ≥ 1

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Answer: what the hell the happened

Step-by-step explanation:

Answer:

Below

Step-by-step explanation:

77 min is 1 hour 17 min...add this to the 9:00 start to find  10 :17 am

Answer:

square 3. Multipky the result by -2 and then subtract 4.

Step-by-step explanation:

comment if u need explanation

The property illustrated for the given expression is substitution method.

The algebraic approach to solving simultaneous linear equations is known as substitution method. The value of one variable from one equation is substituted in the second equation in this procedure, as the name implies. By doing this, a pair of linear equations are combined into a single equation with a single variable, making it simpler to solve.

Given that the two expressions are:

x=y+4 and y+4=-22

Here, the value of y + 4 is substituted in the value of x for the first expression.

Hence, the property illustrated for the given expression is substitution method.

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Answer:

y = 4x-5.

Step-by-step explanation:

So with the form y = mx+b, you already have y = 4x+b.

Plugging in (2,3) (x=2, y=3), we have 3 = 4*2+b, giving b = -5.

The common region represents the solution set to the both inequalities.

An inequality is used to compare two or more expressions.

For example -

ax + b > c

ax + b < c

Given are the inequalities -

y > -3

y ≥ 5x

Refer to the graph of the inequalities attached. The common region represents the solution set to the both inequalities.

Therefore, the common region represents the solution set to the both inequalities.

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The solution to the inequality is x≥-1 or x ≥ 17. Option A

Inequalities are simply described as non-equal comparison between numbers, variables, expressions, etc.

They are used to organize numbers based on their sizes in the number line.

From the information given, we have that;

1/4|x + 1| ≥ 4

It is important to note that the symbol. "| |" modulus states that a number cannot be negative irrespective of its direction in the number line

Now, let's solve the inequality

cross multiply

|x + 1| ≥ 4 ×4

Multiply the values

|x + 1| ≥ 16

collect like terms

x ≥ 16 + 1

x ≥ 17

x ≥ - 1

Hence, the values are 17 and -1

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