Select the best answer.

Sin2x/1+cos2x=

Answer:

let the boys and girls be 5x and 3x

the ratio of boys to girls= 5:3

the total girls = 35

the ratio of boys to girls = the total girls

5 =35

3 x

5x = 105

x= 105÷5

x= 25

5x= 5×25= 125

3x= 3× 25 = 75

Answer:

Step-by-step explanation:

In the Intermediate Phase of mathematics education, one topic that demonstrates a hierarchical and logical progression in patterns, functions, and algebra is the concept of "Linear Equations."

The topic of Linear Equations in the Intermediate Phase builds upon the foundation laid in earlier grades and serves as a stepping stone towards more advanced algebraic concepts. Here is an overview of the topic sequence and content area spread for Linear Equations:

Introduction to Variables and Expressions:

Students are introduced to the concept of variables and expressions, learning to represent unknown quantities using letters or symbols. They understand the difference between constants and variables and learn to evaluate expressions.

Solving One-Step Equations:

Students learn how to solve simple one-step equations involving addition, subtraction, multiplication, and division. They develop the skills to isolate the variable and find its value.

Solving Two-Step Equations:

Building upon the previous knowledge, students progress to solving two-step equations. They learn to perform multiple operations to isolate the variable and find its value.

Writing and Graphing Linear Equations:

Students explore the relationship between variables and learn to write linear equations in slope-intercept form (y = mx + b). They understand the meaning of slope and y-intercept and how they relate to the graph of a line.

Systems of Linear Equations:

Students are introduced to the concept of systems of linear equations, where multiple equations are solved simultaneously. They learn various methods such as substitution, elimination, and graphing to find the solution to the system.

Word Problems and Applications:

Students apply their understanding of linear equations to solve real-life word problems and situations. They learn to translate verbal descriptions into algebraic equations and solve them to find the unknown quantities.

The content area spread for Linear Equations includes concepts such as variables, expressions, equations, operations, graphing, slope, y-intercept, systems, and real-world applications. The progression from simple one-step equations to more complex systems of equations reflects a logical sequence that builds upon prior knowledge and skills.

By following this hierarchical progression, students develop a solid foundation in algebraic thinking and problem-solving skills. They learn to apply mathematical concepts and procedures in a systematic and logical manner, paving the way for further exploration of patterns, functions, and advanced algebraic topics in later phases of mathematics education.

If a bag has 30 orange marbles then that means it has 42 red marbles

Step-by-step explanation:

If there are 7 red marbles for every 5 orange marbles then what you would do is.

30/5=6

6*7=42

Each marble bag sold by Chris's marbles company contains 7 red marbles for every 5 orange marbles , if a bag had 30 orange marbles Then the bag contains 42 red marbles.

In the problem, we are given that each bag of marbles contains 7 red marbles for every 5 orange marbles. We need to find the number of red marbles when there are 30 orange marbles in the bag.

Let's represent the number of red marbles as R and the number of orange marbles as O.

According to the information provided, we have the following relationship:

R / O = 7 / 5

Now, we are given that the number of orange marbles (O) in the bag is 30. We can substitute this value into the equation:

R / 30 = 7 / 5

To find the number of red marbles (R), we can cross-multiple

R = (7 / 5) * 30

R = 42

Therefore, the bag contains 42 red marbles.

In summary, we used the given ratio of red to orange marbles in the bag to set up a proportion and then solved for the number of red marbles when the number of orange marbles was known. This allowed us to find that there are 42 red marbles in the bag.

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The area οf the actual bridge deck in square feet is 1,280 square feet.

Area refers tο the measurement οf the size οf a twο-dimensiοnal surface, usually measured in square units such as square inches, square feet, οr square meters. It represents the amοunt οf space that is inside the bοundary οf a flat οbject οr shape.

The scale οf the drawing is 40:1, which means that the dimensiοns οf the scaled bridge deck are 40 times smaller than the actual bridge deck. Tο find the area οf the actual bridge deck in square feet, we need tο cοnvert the dimensiοns οf the scaled bridge deck frοm inches tο feet and then multiply by the square οf the scale factοr (40² = 1600).

The dimensiοns οf the scaled bridge deck in feet are:

24 inches = 2 feet

4 and 4/5 inches = 0.4 feet

Sο, the area οf the scaled bridge deck in square feet is:

2 feet x 0.4 feet = 0.8 square feet

Tο find the area οf the actual bridge deck in square feet, we need tο multiply the area οf the scaled bridge deck by the square οf the scale factοr:

Area οf actual bridge deck = 0.8 square feet x (40²) = 1280 square feet

Therefοre, the area οf the actual bridge deck in square feet is 1,280 square feet.

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Answer:

Step-by-step explanation:

The scale factor indicates the actual bridge is 40 times larger than the drawing.

Increase the scale dimensions by the factor of 40.

24 times 40 = 960"

4.8 times 40 = 192" (I changed 4 4/5 to 4.8)

Area = length times width

960 times 192 = 184320 sq inches actual bridge deck in square inches

Divide 183320 by 144 (sq inches in a square foot) = 1280 sq feet

Sheena receives change of $7.55 after paying $20 bill.

Information is graphically represented in a bar graph. To represent value, it makes use of bars that stretch to various heights. Vertical bars, horizontal bars, grouped bars (multiple bars that compare values in a category), and stacked bars can all be used to create bar graphs.

Therefore,

Sheena buys three items, one sandwich and two pretzels.

Given the rate of sandwich = $6.95

Rate of pretzels = $2.75 each

So rate of two pretzels = $2.75 x 2 = $5.5

Total amount paid = $20

To find the change she receives ,

Total payment paid - total amount of items

Total amount for items = $6.95 + $5.5

                                     = $12.45

Change receives = $20 - $12.45

                            = $7.55

Therefore the change Sheena receives is : $7.55.

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Answer:

find the lcm of 22,36,and 42

Step-by-step explanation:

lcm of 22 = 11 x 2

lcm of 36 = 2 x 2 x 3 x 3

lcm of 42 = 2 x 3 x 7

so the lcm of three numbers are 11 x 2 x 2 x 2 x 3 x 3 2 x 3 x 7 = 1000

Answer:

2,772

Step-by-step explanation:

First we find the LCM (Least common multiple) of the given numbers.

2 | 22, 36, 42

2 | 11, 18, 21

3 | 11, 9, 21

3 | 11, 3, 7

7 | 11, 1, 7

11 | 11, 1. 1

| 1, 1, 1,

LCM of 22, 36, 42 = 2*2*3*3*7*11 = 2,772

Thus, the lowest number of four digits that can be divided by 22,36,and 42 is 2772.

Answer:

.53125

Step-by-step explanation:

17 ÷ 32

The length and the width of the model are Length = 2 and Width = 3x² + 5x + 6

The expression 6x cant be the length because 12 cannot divide 6x without becoming a radical expression

We have

Area = 6x² + 10x + 12

Factor out 2

Area = 2(3x² + 5x + 6)

This means that

Length = 2 and Width = 3x² + 5x + 6

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The number of years it would it take for there to be one person for every square yard is 108,325.68 years.

When there is one person for every square yard, it means that the population and land area are equal in value.

Number of years = (In FV / PV) / r

(In 19 billion / 4,079,000) / 0.043 = 108,325.68 years

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Answer:

8/4

Step-by-step explanation:

to do slope is y2 - y1 over x2 - x1, so it would be 11 - 3 for 8, then 6 - 2, leaving 8/4.

The slope of the line passing through the points A ( 2 , 3 ) and B ( 6 , 11 ) is Option A . 8/4

What is an Equation of a line?

The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept

And y - y₁ = m ( x - x₁ )

y = y-coordinate of second point

y₁ = y-coordinate of point one

m = slope

x = x-coordinate of second point

x₁ = x-coordinate of point one

The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Given data ,

Let the two points be A and B , where

A ( x₁ , y₁ ) = A ( 2 , 3 )

B ( x₂ , y₂ ) = B ( 6 , 11 )

Let the slope of the line be m

Now , the slope of the line passing through two points is given by

Slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Substituting the values of x₁ , y₁ , x₂ and y₂  in the above equation we get

Slope m = ( 11 - 3 ) / ( 6 - 4 )

Slope m = 8 / 4

Hence , the slope of the line passing through the points

A ( 2 , 3 ) and B ( 6 , 11 ) is 8/4

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Answer:

-2<=y<=-7

Step-by-step explanation:

Answer:

location number, type of crime, race

Step-by-step explanation:

Federal Bureau of Prisons or the FBP is a federal law enforcement bod of the United States. It is responsible for the custody, control and care of the incarcerated individuals. It has its headquarter at Washington, D.C.

A categorical variable has one or two categories but no intrinsic ordering.

In the context, the FBP collects the following categorical data of the inmates. They includes the race, the type of crime they have committed and the location number of the prisoners.

Answer:

x= -4

Step-by-step explanation:

Answer:

0,00567×10¹

Step-by-step explanation:

Para convertir a notación decimal:

0.00567×10¹

Answer:

For Month 1, we have:

Carry-over balance  = $12,000.00

Finance charge = $189.90

New balance = $12,189.90

Minimum payment = $609.50

For Month 2, we have:

Carry-over balance = $11,580.41

Finance charge = $183.26

New balance = $11,763.66  

Minimum payment $588.18

Step-by-step explanation:

Note: This question is not complete. The complete question is therefore provided before answering the question. See the attached pdf file for the complete question.

The explanation to the answer is now given as follows:

Note: See the attached excel file for calculations of the finance charge, carry-over balance, and minimum payment required for each of the next two months.

In the attached excel file, the following formulas are used:

r = Monthly percentage rate = APR / 12 = 18.99% / 12 = 1.5825%

Carry-over balance of the current month = New balance of the previous month - Minimum payment of the previous month

Answer:

2/3 hours

Step-by-step explanation:

40 minutes = 40/60 = 2/3 hours

Mr. X reduces his weight in a ratio of 4:17. This means that for every 4 units of weight he loses, his initial weight was divided into 17 equal parts.

To determine the ratio by which Mr. X reduces his weight, we need to compare his initial weight of 85 kg with his target weight of 65 kg.

The reduction in weight is calculated as the difference between the initial weight and the target weight, which in this case is 85 kg - 65 kg = 20 kg.

The ratio can be expressed as a fraction, where the numerator represents the reduction in weight and the denominator represents the initial weight:

Reduction in weight / Initial weight

Substituting the values, we have:

20 kg / 85 kg

Simplifying the fraction, we can divide both the numerator and denominator by their greatest common divisor, which is 5 in this case:

(20 kg / 5) / (85 kg / 5) = 4/17

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Answer: A

Step-by-step explanation: The only one that’s not included in the pattern

Answer:

answer a.

Step-by-step explanation:

You can see that the shaded parts are moving counterclockwise (I think) so if you continue the pattern then you will get A.

Answer: 42

Step-by-step explanation:

Complementary angles are angles in which the sums equal 90.

90 - 48 = 42.

Answer:

its 2nd one

Step-by-step explanation:

Answer:

Step-by-step explanation:

x 1= 3 x 2=−4

Answer:

K5.60.

Step-by-step explanation:

Answer:

88 percent

Step-by-step explanation:

100/25 is 4 so 4 times 22 is 88 percent

Answer:

50

Step-by-step explanation:

0.8 * x = 40

40/0.8=50

Answer:

-19

Step-by-step explanation:

2*(-2)+3(-5)=-4+(-15)= -19

Answer:

\(x=\dfrac{32}{15}\)