The ratio of boys to girls in a group is 6:1. If there are 50 more boys than girls, work out how many boys there are.

Given the length and the expression that represents the width of a rectangle, you need to remember that:

• The area of a rectangle can be calculated by multiplying its dimensions:

Where "l" is the length and "w" is the width.

• The perimeter of a rectangle is:

Where "l" is the length and "w" is the width.

Then, knowing that:

- You can set up that the area of this rectangle is:

Simplifying, you get:

- And the perimeter is:

Hence, the answer is:

- The area is:

- The perimeter is:

The solution of the equation 3 (x - 2) - 4 (x + 1) = -22 is,

⇒ x = 12

What is linear expression?

A linear expression is an algebraic statement where each term is either a constant or a variable raised to the first power.

We have to given the function is,

3 (x - 2) - 4 (x + 1) = -22

Now, We can solve the expression as,

3 (x - 2) - 4 (x + 1) = -22

Use Multiplicative property;

3x - 6 - 4x - 4 = -22

Use addition and subtraction property,

- x - 10 = - 22

Use addition property and Add 22 both sides;

- x - 10 + 22 = - 22 + 22

- x + 12 = 0

Use subtraction property, Subtract 12 both sides;

- x + 12 - 12 = 0 - 12

- x = - 12

Multiply by -1 in both sides,

x = 12

Therefore, The solution of the equation 3 (x - 2) - 4 (x + 1) = -22 is,

⇒ x = 12

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Answer:

-5m - 10

Step-by-step explanation:

1/3(3m+6)-2(3m+6)

= 1m + 2 - 6m - 12

= -5m - 10

So, the answer is -5m - 10

Answer:

-5(m+2)

Step-by-step explanation:

1/3(3m+6)-2(3m+6)

combine like terms

-5/3(3m+6)

Distribute

-5m - 10

common factor

-5(m+2)

The first system of equations has no solution and the second set of equations has a unique solution.

If we are having two equations as

\(a_{1} x^{2} +b_{1} x+ c_{1} =0\)

and \(a_{2} x^{2} +b_{2} x+ c_{2} =0\)

The condition at which these equations will have infinitely many solutions is

\(\frac{a_{1} }{a_{2} } =\frac{b_{1} }{b_{2} } =\frac{c_{1} }{c_{2} }\)

The condition at which these equations will have infinitely many solutions is

\(\frac{a_{1} }{a_{2} } =\frac{b_{1} }{b_{2} } \neq \frac{c_{1} }{c_{2} }\)

For, the 26th question, we have

4x +8y = -8

4x +8y +8 = 0

x +2y +2 =0 equation(1)

x =-2y +1

x +2y -1 = 0 equation(2)

On comparing these equations with the general form, we have

\(a_{1} = 1, a_{2} =1\\b_{1} = 2, b_{2} = 2\\c_{1} = 2, c_{2} = -1\)

So, \(\frac{a_{1} }{a_{2} } =\frac{b_{1} }{b_{2} } \neq \frac{c_{1} }{c_{2} }\)

Thus, this system of equations has no solution.

Now, For the 27th question, we have

2x - 3y = 6

2x -3y -6 = 0 equation(3)

\(y = \frac{2}{3}x -2 \\\\3y = 2x -6\\\\3y -2x +6 = 0\) equation (4)

On comparing these equations with the general form, we have

\(a_{1} = 2, a_{2} =3\\b_{1} = -3, b_{2} = 2\\c_{1} = -6, c_{2} = 6\)

So, \(\frac{a_{1} }{a_{2} } \neq \frac{b_{1} }{b_{2} }\)  

Thus, this system of equations has a unique solution.

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Answer:

x=20

Step-by-step explanation:

How I did it was I divided 3/12 to get .25 and 5 divided by .25 is 20. So x is equal to 20.

Answer:

d = 8 , a₁ = - 6 , a₂ = 2

Step-by-step explanation:

the recursive formula is

\(a_{n}\) = \(a_{n-1}\) + d

where d is the common difference

compare with

\(a_{n}\) = \(a_{n-1}\) + 8

then common difference d = 8

the initial term is the first term, that is a₁ = - 6

then

a₂ = a₁ + d = - 6 + 8 = 2

Answer:

\(0.79\)

Step-by-step explanation:

\(\mathrm{Probability\ of\ losing+Probability\ of\ winning=1}\\\mathrm{or,\ Probability\ of\ losing=1-0.21}\\\mathrm{\therefore Probability\ of\ losing=0.79}\)

The factor that does NOT control the stability of a slope is the angle of repose for intact bedrock. The angle of repose refers to the steepest angle at which a pile of loose material remains stable without sliding. It is mainly applicable to loose materials like soil and granular substances, not intact bedrock.

Bedrock stability depends on factors such as its strength, fracturing, and geological properties, rather than the angle of repose. Factors that control the stability of a slope include whether the slope is rock or soil. Rock slopes tend to be more stable than soil slopes due to the cohesive nature of intact rock.

The amount of water in the soil also affects slope stability, as excessive water can increase pore pressure and reduce the shear strength of the soil, leading to slope failure. Additionally, the orientation of fractures, cleavage, and bedding in the rock can influence slope stability by creating planes of weakness or strength.

To summarize, while the angle of repose is a significant factor in slope stability, it is not applicable to intact bedrock. The stability of a slope is influenced by the type of material (rock or soil), the presence of water, and the orientation of fractures and bedding.

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Answer:

I think the answer is 1/2

The value of the numerical expression (5 - 4) x 1/2 will be 0.50.

Algebra is the study of algebraic expressions, while logic is the manipulation of those concepts.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This rule is used to answer the problem correctly and precisely.

The expression is given below.

⇒ (5 - 4) x 1/2

Simplify the expression, then we have

⇒ (5 - 4) x 1/2

⇒ 1 x 1/2

⇒ 1 / 2

⇒ 0.50

The value of the numerical expression (5 - 4) x 1/2 will be 0.50.

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Answer:

a) 1000 = 10^3= 10*10*10

b) 100*100= 10^4 = 10*10*10*10

Step-by-step explanation:

Answer:

a.   10^3        =10*10*10

b.   10^4        =10*10*10*10

The probability of getting all heads when flipping a coin four times is 1/16.

(HHHH), (HHHT), (HHTH), (HHTT), (HTHH), (HTHT), (HTTH), (HTTT), (THHH), (THHT), (THTH), (THTT), (TTHH), (TTHT), (TTTH), (TTTT) are some examples of spaces.

There were 16 total outcomes.

Probability going out of control

HHHH P(A) = P(getting all heads) = 1/16

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True. The 3px, 3py, and 3pz orbitals are similar in shape but differ in their orientation or direction.

The p orbitals are one type of orbital that corresponds to the angular momentum number l = 1. These p orbitals are designated as 3px, 3py, and 3pz to indicate their orientations along the x, y, and z axes, respectively.

The p orbitals have a  shape with a node at the nucleus. They consist of two lobes of electron density, one on either side of the nucleus, separated by a region of zero electron density. The lobes are oriented along the designated axes. The 3px orbital points along the x-axis, the 3py orbital points along the y-axis, and the 3pz orbital points along the z-axis. Although they have different orientations, their shapes and sizes are the same.

So, while the 3px, 3py, and 3pz orbitals differ in their orientation in space, they share the same overall shape and size.

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Answer:

y = 45

Step-by-step explanation:

70 and y + 25 are corresponding angle and corresponding angles are equal when we have parallel lines cut by a transversal

70 = y+25

Subtract 25 from each side

70-25 = y

45 = y

\(answer \\ y = 45 °\\ solution \\ y + 25 = 70(being \: corresponding \: angles) \\ or \: y = 70 - 25 \\ y = 45 °\\ hope \: it \: helps\)

The calculated measure of angle y is 60 degrees

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

The figure

From the figure, we can see that

The shape can be divided into two triangles such that

Each triangle is an equilateral triangle

The measure of an angle in an equilateral triangle is 60 degrees

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

y = 60

Hence, the value of y is 60 degrees

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Answer:

Step-by-step explanation:

(2, 3) and (5, 6) are the endpoints of a line segment that is not parallel to either axis and does not intersect either axis.

An ordered pair contains the coordinates of one point in the coordinate system. A point is named by its ordered pair of the form of (x, y). The first number corresponds to the x-coordinate and the second to the y coordinate.

A line segment is a piece or a part of line having two end points.

Since, a line segment is parallel to the either one axis if its one coordinate point is zero, whether it's y or x.

So for not parallel to either axis and does not intersect either axis  we will choose those points which are not zero.

Therefore,

The coordinates of the end points of a line segment that is not parallel to either axis and does not intersect either axis will be (2, 3) and (5, 6).

Similarly, you can use any point using this concept like (7,9) ad (2,3) and many.

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Answer:x would be 8 because 348 divided by 6 equals a quotient of 58

Step-by-step explanation:

Linear regression adapts to sudden shifts to data patterns. [False]

Linear regression is a type of predictive analysis technique used to form a linear relationship between a dependent and an independent variable. However, linear regression does not adapt well to sudden changes in data patterns or outliers that could impact the model's accuracy. Therefore, it is not suitable for modeling data with sudden shifts. In such cases, non-linear regression methods or more complex models may be more appropriate.

Linear regression is a basic yet powerful technique for modeling relationships between variables. It is used for a wide range of applications, from predicting sales to estimating the impact of a variable on the outcome of interest. However, the accuracy of linear regression models can be impacted by outliers or sudden changes in data patterns. Therefore, it is important to carefully evaluate the data and select appropriate modeling techniques based on the specific characteristics of the dataset. Non-linear regression techniques or more advanced models may be better suited for modeling data with sudden shifts or extreme values.

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Answer:

C

Step-by-step explanation:

120 x 35% = should make 42

jus report if its not C

Answer:

t = 3.4285 or 24/7

Step-by-step explanation:

Sub f = 2t + 1 into the other equation

7(2t + 1) = 55

Expand

14t + 7 = 55

Rearrange

14t = 55 - 7

14t = 48

t = 3.4285 or 24/7

Answer:

???

Step-by-step explanation:

x*y=y

Well, since y is on both ends of the equation, y could be 0, because anything multiplied by 0 is 0.

So x could be anything.

---

hope it helps

A characteristic of interest for the elements is called C) Variable.

A dataset is a grouping or set of data. This set is typically displayed in a tabular format. Each column provides information about a distinct variable. In accordance with the stated question, each row represents a certain component of the data set. The management of data includes datasets.

A sample is a condensed, controllable representation of a larger group. It is a subgroup of people with traits from a wider population. When population sizes are too big for the test to include all potential participants or observations, samples are utilized in statistical testing.

A qualitative variable, often known as a categorical variable, is one in which the variable categories are expressed verbally rather than as sets of numbers. Nominal and ordinal are the two subtypes of categorical data. Nominal variables don't have numerical values; they have "names."

Therefore, A characteristic of interest for the elements is called C) Variable.

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The Vector field F(x, y, z) = 2i + 3j + 4k on R^3 with 4 plot.

In mathematics, a vector is a quantity that only contains magnitude and direction. Velocity and acceleration are a couple of examples of these quantities. A quantity or phenomena with independent qualities for both magnitude and direction is called a vector. The term can also refer to a quantity's mathematical or geometrical representation. Velocity, momentum, force, electromagnetic fields, and weight are a few examples of vectors in nature. A property with both a magnitude and a direction is called a vector. Vectors are depicted as a two-headed arrow with a tail. The magnitude of the vector is indicated by its length.

Vector field F on R^3 with the correct plot.

F(x, y, z) = 2i + 3j + 4k

At each point, we need to draw (2, 3 , 4)

2i + 3i + 4k is away from the origin.

4 is correct.

Vector field F(x, y, z) = 2i + 3j + 4k on R^3 with 4 plot.

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The length and the width of the rectangle are 22 inches and 16 inches respectively

The given parameters are:

Length = 6 inches + width

Perimeter = 76 inches

The perimeter is calculated as:

Perimeter = 2 * (Length + Width)

This gives

76 inches = 2 * (6 inches + Width + Width)

Divide through by 2

38 inches = 6 inches + Width + Width

Evaluate the like terms

2 * Width = 32 inches

Divide both sides by 2

Width = 16 inches

Substitute Width = 16 inches in Length = 6 inches + width

Length = 6 inches + 16 inches

Evaluate

Length = 22 inches

Hence, the length and the width of the rectangle are 22 inches and 16 inches respectively

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Answer:

6

Step-by-step explanation:

multiple 30× .20% which equals 6. Then you will add 30 +6=36. So, Lane will do a total of 36 push-ups everyday

Answer:

11 months

Step-by-step explanation:

Answer:11 Months

Step-by-step explanation:

Nine hundred divided 76 equals Months 900÷76=M

The class that lost the most pencils overall based on the data displayed is D. Mr. Johnson's class; it has a wide spread in the data

The answer is Mr. Johnson's class. The median is the middle value in a set of data. In Mr. Johnson's class, the median is 11 pencils. This means that half of the students in his class lost 11 or fewer pencils, and half of the students lost 11 or more pencils.

In Mr. Simpson's class, the median is 14.5 pencils. This means that half of the students in his class lost 14.5 or fewer pencils, and half of the students lost 14.5 or more pencils.

Since the median for Mr. Johnson's class is lower than the median for Mr. Simpson's class, we can conclude that Mr. Johnson's class lost more pencils overall.

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Step-by-step explanation:

First prism volume =  L x W x H = 8 x 4 x 5 = 160 cm^3

Second prism = 14 x 8 x 1 = 112 cm^3

   Total =  160 + 112 = 272 cm^3

The volume of the composite solid will be 272 cubic cm.

Let the prism with a length of L, a width of W, and a height of H. Then the volume of the prism is given as,

V = L x W x H

The shape is the combination of the two rectangular prisms. Then the volume is calculated as,

V = (6 x 4 x 8) + ((14 - 4) x 1 x 8)

V = (6 x 4 x 8) + (10 x 1 x 8)

V = 192 + 80

V = 272 cubic cm

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Answer:

Commission is when you earn a percentage of a sale.  The word "of" in math means multiply, so just multiply to get your answer.

Step-by-step explanation:

Answer:

16

Step-by-step explanation:

g(x)=-5x+1

g(-3)

x=-3

-5(-3) +1

15+1

16

Answer:

See below.

Step-by-step explanation:

For this problem, we are asked to find the value of g(-3).

We are given a Linear Function.

A Linear Function is a Polynomial Function that is commonly graphed. This function most of the time will simply be represented as a straight line when graphed.

For this problem;

\(g(x)=-5x+1 \ Find \ g(-3).\)

We simply need to substitute -3 in for x.

\(g(-3)=-5(-3)+1\)

Simplify:

\(g(-3)=16.\)

Our final answer is g(-3) = 16.