every second a security camera turns 1° clockwise and takes a photograph. The camera does this for 75 seconds. What is the total measure, in degrees, of the angle tirned by the camera ?

The total number of dogs and cats in the animal shelter is 25. We get this by dividing the number of puppies, which represent 28% of the population, by 0.28.

To figure out the total dog and cat population in the animal shelter, we need to use the information given to us: the puppies, which make up 28% of the total population, number 7. To get the full population, we need to think of these 7 puppies as representing 28%. The way to get the total is to divide the number of puppies by the percentage they represent. Express 28% as a decimal and divide:

7 / 0.28 = 25

So there are 25 dogs and cats in the animal shelter.

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The total number of people in the pie chart will be 40.

The ratio is the division of the two numbers.

For example, a/b, where a will be the numerator and b will be the denominator.

Proportion is the relation of a variable with another. It could be direct or inverse.

As per the given,

108° → 12 people.

Per degree people or the ratio of degree to people will be,

1° → 12/108 people

In a circle, there is 360° thus multiply by 360 on both sides,

360° = 12/108 x 360 = 40 people

Hence "The total number of people in the pie chart will be 40.".

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The pattern of rule n-4 can consist of several numbers depending on the value of n (integer, whole number, natural number or prime number)

Algebraic expressions in mathematics are a combination of coefficients, numbers, variables, constants and arithmetic operations such as addition, subtraction, multiplication, and division.

The main composition of algebraic expressions are:

• 1. phrases

algebraic forms separated by arithmetic operations

consists of one phrase (monomial) to many phrases (polynomial)

• 2. variable

is a value that can be changed, can be in the form of letters, for example, x, y, a, b, etc.

• 3. constants

is a fixed value, can be a number

• 4. arithmetic operations

operations [tex]{\displaystyle \boxed {+}, \boxed {-}, \boxed {:}, \boxed {x}}[/tex]

Numbers in mathematics can be divided into several terms

numbers consist of positive, negative and 0 numbers

numbers consisting of positive numbers, starting with number 1

a number consists of positive numbers and zeros

numbers that can only be divided by numbers themselves and the number 1

And examples of other numbers such as imaginary numbers, real numbers, rational numbers, etc.

Integers themselves consist of

the number to the right of the number 0 is 1,2,3 ...

the numbers to the left of the zeros are -1, -2, -3 ...

n-4 is an algebraic form

the pattern is generated from rule = (n-4)

There are several possible values ​​of n that can be entered to form a pattern

pattern = -7, -6, -5, -4, -3, -2, -1, ...

pattern = -3, -2, -1, ...

pattern = -4, -3, -2, -1, ...

pattern = -2, -1,1,3, ....

Express 0.000431 L answer as an integer

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type of number

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Classify the number as a natural, whole, integer, rational, or irrational.

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Keywords: natural, whole, integer, prime, number

The pattern of the rule [tex]\left( {n - 4} \right)[/tex] is [tex]\boxed{ - 4, - 3, - 2, - 1 \ldots {\text{ and }} - 3, - 2, - 1,0 \ldots }.[/tex]

Further explanation:

Given:

The rule is [tex]\left( {n - 4} \right).[/tex]

Explanation:

If n takes the value of natural numbers.

Substitute 1 for [tex]n[/tex] in [tex]\left( {n - 4} \right).[/tex]

[tex]\begin{aligned}n - 4&= 1 - 4\\&=- 3\\\end{aligned}[/tex]

Substitute 2 for [tex]n[/tex] in [tex]\left( {n - 4} \right).[/tex]

[tex]\begin{aligned}n- 4&= 2 - 4\\&= - 2\\\end{aligned}[/tex]

If [tex]n[/tex] takes the value of whole numbers.

Substitute 0 for [tex]n[/tex] in [tex]\left( {n - 4} \right).[/tex]

[tex]\begin{aligned}n - 4&= 0 - 4\\&= - 4\\\end{aligned}[/tex]

The pattern of the rule [tex]\left( {n - 4} \right)[/tex] is [tex]\boxed{ - 4, - 3, - 2, - 1 \ldots {\text{ and }} - 3, - 2, - 1,0 \ldots }.[/tex]

Learn more:

1. Learn more about inverse of the functionhttps://brainly.com/question/1632445.

2. Learn more about equation of circle brainly.com/question/1506955.

3. Learn more about range and domain of the function https://brainly.com/question/3412497

Answer details:

Grade: Middle School

Subject: Mathematics

Chapter: Number System

Keywords: numbers, rule, n-4, create, pattern, irrational numbers, rational numbers, adding, subtracting, multiplication, division, decimal expansion, natural numbers

Answer:

less than

Step-by-step explanation:

Answer: 1/20 :)

Step-by-step explanation: I did this and got full points heres for each question.

1. 5/21

2. 3/40

3. 33/56

4. 1/20 of a foot

5. 2/5 of the book

For sake of convenience, you can multiply them by 10,

then it will become, 2040 * 46 =93840

Now, you should divide that by 100, = 93840/100 = 93.84

Did you like that idea??

If not, you can approach for basic one...but then you have to be careful about decimal..ok

Answer: F) $5

Step-by-step explanation:

Monthly charge for cable bill payed be Danielle= $69

Last month, her total bill= $104

Therefore, amount she paid for movies = $104-$69= $35

Thus, amount she paid for  7 movies on demand = $35

⇒ The monthly charge ,every time she watches a movie on demand

=[tex]\frac{\$35}{7}=\$5[/tex]

Therefore, The monthly charge ,every time she watches a movie on demand=$5.

Answer:

 There are 567 of the songs are other.

Step-by-step explanation:

Since 55% of the songs are rock and rap, 45% of the songs are other.

To find 45% of 1260 we multiply by the decimal:

1260 x 0.45 = 567

The answer is 567

A percentage is a number or ratio that can be expressed as a fraction of 100. If we have to calculate the percent of a number, divide the number by the whole and multiply by 100. Hence, the percentage means, a part per hundred. The word percent means per 100. It is represented by the symbol “%”

Given here: Rock and rap songs make 55% of the songs then the rest of the songs should make 45% of the total songs.

Thus we have 45% of 1260=567

Hence, The answer is 567

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To calculate the total length of six pipes each of 9 1/3 inches long, multiply the length of one pipe by the number of pipes. By doing so, we find that the row of pipes would be approximately 56 inches long.

The question asks how long a row of six pipes would be if each pipe was 9 1/3 inches long. To figure this out, you multiply the length of one pipe by the number of pipes. In this case, that would be 9 1/3 inches times six pipes.

To simplify the calculation, convert the fraction 1/3 to a decimal. 1/3 is approximately 0.333, and adding that to 9 makes 9.333 inches. Now that we have a decimal, we can multiply: 9.333 inches per pipe times 6 pipes equals approximately 56 inches.

Therefore, a row of six pipes each of 9 1/3 inches long would be approximately 56 inches long.

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The minimum number of tickets required for the family members is four because the individuals can be counted in multiple categories—each person can be a daughter, mother, and grandmother.

The question is asking for the minimum number of tickets required for a group consisting of 4 mothers, 4 grandmothers, and 4 daughters. To solve this problem, we need to consider how these individuals could be related to each other and overlap in these categories. In a possible scenario, each grandmother is also a mother, and each mother is also a daughter. Therefore, the minimum number of individuals who could cover all these roles is four: one individual who is a daughter, her mother (who is also a daughter to the next in line), her grandmother (who is the mother of the previous person), and her great-grandmother (who fills the role of the fourth grandmother).

To determine the minimum number of tickets required for a group consisting of 4 mothers, 4 grandmothers, and 4 daughters, we have to identify overlapping roles within a three-generation family structure. By recognizing that each person can hold multiple roles, we find that a minimum of 3 tickets is required for this group.

The question asks to calculate the minimum number of tickets required for a group including 4 mothers, 4 grandmothers, and 4 daughters. We need to figure out the possible relationships and overlaps in this family structure.

Let's consider a scenario where each grandmother is also a mother, and each mother is also a daughter. This is possible if we are speaking about a family consisting of three generations: the oldest generation (the grandmothers who are also mothers to the middle generation), the middle generation (the mothers who are also daughters to the oldest generation and mothers to the youngest generation), and the youngest generation (the daughters). If we set it up this way, we can have the smallest number of individuals who meet all the necessary conditions.

Here is the step-by-step explanation of the generational setup:

Thus, the three women in this family structure account for all 4 grandmothers, 4 mothers, and 4 daughters. Therefore, the minimum number of tickets required for this group would be 3.

The machine makes 560 springs in 8 hours if it makes 70 springs each hour.

Ratio basically compares quantities, that means it shows the value of one quantity with respect to the other quantity.

If a and b are two values, their ratio will be a:b,

Given that,

Springs made by the machine in 1 hour = 70.

To find the number of springs made by machine in 8 hours,

Use ratio property,

In 1 hour machine makes = 70 springs

In 8 hours machine makes = 70 x 8 = 560 springs

Machine makes 560 springs in 8 hours.

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Answer:

356.4 is  the correct Answer

Step-by-step explanation:

I took a quiz

To calculate 24.2 divided by 0.2, convert the division into a multiplication by recognizing that dividing by 0.2 is the same as multiplying by 5. Thus, 24.2 times 5 gives the result of 121.

To calculate the quotient of 24.2 divided by 0.2, you can follow these steps:

The problem is an algebraic one involving two linear equations. By setting up correct equations, solving them step-by-step, we find that the two numbers are 8 and 84.

This problem falls under algebra and specifically it involves solving linear equations. Let's denote the two unknown numbers as x and y. Given that 'One number is 4 less than eleven times another' we can formulate the first equation like this: y = 11x - 4. The second piece of information given is 'The sum of the two numbers is 92', so the second equation is x + y = 92.

We can substitute y from the first equation to the second equation which gives us: x + 11x - 4 = 92. Simplifying this gives us: 12x - 4 = 92. Solving for x we add 4 to both sides to get 12x = 96, and then divide both sides by 12 to find that x = 8.

Now that we have found x, we can substitute it back to one of the initial equations to find y. Substiting x = 8 into the equation y = 11x - 4 we find that y = 84. So the two numbers we are looking for are 8 and 84.

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we know that

The simple interest formula is equal to

[tex]I=P(rt)[/tex]

where

I is the amount in interest

P is the Principal amount of money to be invested

r is the rate of interest  

t is Number of Time Periods

in this problem we have

[tex]t=?\ years\\ P=\$1,300\\ I=\$299\\r=0.0575[/tex]

substitute in the formula above  and solve for t

[tex]299=1,300(0.0575)(t)[/tex]

[tex]t=299/[1,300(0.0575)][/tex]

[tex]t=4\ years[/tex]

therefore

the answer is

[tex]4\ years[/tex]

Bonita's money was in the account for approximately 5 years.

Step 1: Define Variables and Formula

Let:

The formula for simple interest is:

I = P × r × t

Step 2: Apply the Formula to Known Values

We are given the values for I, r, and P (we can solve for P using the given information). Let's plug these values into the formula:

$299 = P × 0.0575 × t

Step 3: Solve for the Unknown (t - Number of Years)

Step 4: Find the Principal Amount (P)

The total amount Bonita received when closing the account is the principal amount (P) plus the interest earned (I). We can represent this as:

Step 5: Solve for the Number of Years (t)

Now that we know P, we can plug it back into the equation along with the interest rate (r) to solve for t:

Step 6: Round the Answer (Nearest Whole Year)

The question asks for the number of years rounded to the nearest whole year. Since the decimal part (0.49) is closer to 0 than 1, we round down.

The two fractions with a difference of 1/5 but with neither denominator equal to 5 are; 4/10 and 2/10

Two fractions that can give a difference of 1/5 are;

2/5 and 1/5

However, we are told that the denominator of both fractions must not be 5.

This means we have to multiply both numerator and denominator by the same number so that the denominator is no longer 5.

From multiplication law of equality of fractions, when we multiply the numerator and denominator of a fraction by the same number, the result is equal to the initial fraction.

Thus, let us multiply both numerator and denominator by 2 to get;

4/10 and 2/10

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