find the total distance the model airplane

Answer:

Step-by-step explanation:

\(\begin{array}{|c|c|c|c|c}day&1&2&3&4\\----&-----&-----&-----&-----\\Mary&\frac{1}{8} &\frac{2}{8} &\frac{3}{8} &\frac{4}{8} \\Assis&\frac{1}{12} &\frac{2}{12} &\frac{3}{12} &\frac{4}{12} \\Sum&\frac{1}{8}+\frac{1}{12}&\frac{2}{8}+\frac{2}{12}&\frac{3}{8}+\frac{3}{12}&\frac{4}{8}+\frac{4}{12}\\part&\frac{5}{24}&\frac{10}{24}&\frac{15}{24}&\frac{20}{24}=\boxed{\frac{5}{6}}\\----&-----&-----&-----&-----\\\end{array}\)

The fraction of the catalog that is checked after 4 days is 5/6

If Mary takes 8 days to do a full check and her assistant takes 12 days then if they work together then the fraction of the catalog that is checked after 4 days is 1000/12.

Fraction is a combination of numerator and denominator. The number above division sign is known as numerator and the number below the division sign is known as denominator. It is in p/q form in which q cannot be equal to 0.

let the catalog contains 100 things.So in this way ,

In 1 day Mary does 100/8 things completed and her assistant does 100/12 things completed in 1 day.

So in four days they will complete =100*4/8+100*4/12

=400/8+400/12

=(4800+3200)/96

=8000/96

=1000/12

Hence if Mary takes 8 days to do a full check and her assistant takes 12 days then if they work together then the fraction of the catalog that is checked after 4 days is 1000/12.

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Answer:

47 years old

Step-by-step explanation:

21, 23, 30, 32, 32, 25, 43, 44, 46, 48, 49, 49, 50, 52, 52, 53, 55

First eliminate the one on the very end of the left side

23, 30, 32, 32, 25, 43, 44, 46, 48, 49, 49, 50, 52, 52, 53, 55

Eliminate 55

23, 30, 32, 32, 25, 43, 44, 46, 48, 49, 49, 50, 52, 52, 53

Eliminate 23

30, 32, 32, 25, 43, 44, 46, 48, 49, 49, 50, 52, 52, 53

Keep going until you get two numbers left or one number...

In this case, we are left with two numbers: 46 and 48.

To find the median age, we must find the average of these two numbers.

\(\frac{(46+48)}{2}\)

\(\frac{94}{2} = 47\)

The median age is 47 years old.

Answer:

Step-by-step explanation:Josh

By comparing the given numbers, Jhon had most money.

As you move to the right on the number line, integers get larger in value. As you move to the left on the number line, integers get smaller in value.

The rules of the ordering and the comparing of the integers are given below:

Given that, John had $800 Tasha has $500 Kyle had $300.

Here, 300<500<800

Therefore, by comparing the given numbers, Jhon had most money.

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Answer:

We can start by using algebra to represent the information given in the problem. Let x be the amount of money the burglar stole initially.

According to the problem, when the burglar gave half of the money plus $2,000 to the first guard, he was left with x/2 + 2000.

When he gave the same amount to the second guard, he was left with (x/2 + 2000)/2 + 2000.

And when he gave the same amount to the third guard, he was left with ((x/2 + 2000)/2 + 2000)/2 + 2000.

But we know that he left with $9,000 more than he had when he arrived, So we can say:

((x/2 + 2000)/2 + 2000)/2 + 2000 = x + 9000

We can now solve for x:

x = (900022*2 - 6000)/3

x = 36000/3

x = 12000

So the burglar stole $12000 in the first place.

Answer:

101. NVM

Step-by-step explanation:

23 X 101= 2323

Echoing a two-digit number to make it a four-digit number is equivalent to multiplying the two-digit number by 101.

Echoing a number means repeating the digits of that number to create a new number with a different number of digits. For instance, echoing a one-digit number once turns it into a two-digit number, and echoing a two-digit number once turns it into a four-digit number. In this explanation, we'll explore the relationship between echoing and multiplication to better understand this concept.

Let's consider a one-digit number, say "n." Echoing "n" once will result in a two-digit number "nn." We can express this as:

n → nn

To understand the relationship between echoing and multiplication, let's see what happens when we echo "n" twice:

nn → nnnn

Notice that "nn" is repeated twice to create a four-digit number. We can represent this as:

n → nn → nnnn

To find the relationship between echoing a two-digit number and multiplication, let's take a two-digit number "ab" (where "a" represents the tens digit and "b" represents the ones digit). Echoing "ab" once will give us the four-digit number "abab":

ab → abab

Now, let's echo "ab" again:

abab → abababab

Observe that "ab" is repeated three more times to form an eight-digit number. We can represent this as:

ab → abab → abababab

To generalize this pattern, we can say that echoing a two-digit number "ab" once turns it into a four-digit number "abab," echoing it twice turns it into an eight-digit number "abababab," and so on.

Now, let's examine the relationship between the number of digits in the echoed number and the number of times we echoed it:

- Echoing once: 2 digits

- Echoing twice: 4 digits

- Echoing three times: 8 digits

Notice that the number of digits in the echoed number doubles every time we echo the two-digit number.

Now, consider the powers of 10. Multiplying a number by 10 moves the decimal point one place to the right, while multiplying by 100 moves the decimal point two places to the right.

To make a two-digit number into a four-digit number, we need to multiply it by a value that moves the digits two places to the right. And this value is 100, which is equal to 10².

So, echoing a two-digit number to make it a four-digit number is equivalent to multiplying the two-digit number by 100.

To summarize: ab → abab (echoing once, equivalent to multiplying by 10²)

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Answer:

-11

Step-by-step explanation:

(6−1)2−(9)(4)

=52−(9)(4)

=25−(9)(4)

=25−36

=−11

Answer: Subtract: 6 - 1 = 5

Exponentiation: the result of step No. 1 ^ 2 = 5 ^ 2 = 25

Multiple: 9 * 4 = 36

Subtract: the result of step No. 2 - the result of step No. 3 = 25 - 36 = -11

Answer:

1,977,326,743

Step-by-step explanation:

5,764,801 x 343 x 2401 ÷ 40,353,607 x 16,807

\(\frac{5,764,801 x 343 x 2401}{40,353,607 x 16,807}\)

4,747,561,509,943 ÷ 678,223,072,849 = 1,977,326,743

Answer:

The answer is A hope it helps

Step-by-step explanation:

The earned money is $1600. In which $800 is needed to deposit in bank . The, in the deposit slip choose the option C for check and the write the amount as $eighthunderd only in letter and then in numbers. The sign have to to be put there if only we receive the cash.

A checking account makes it simple to access your money for daily transactions while also keeping it safe. Typically, customers can pay their bills or make purchases using a debit card or a check.

Several methods may be available for accounts to help avoid the monthly service charge. For daily expenses, a checking account is a bank account. You can use it to settle debts, buy things, and more.

The checking account is started with $800 here. So the the option C or option A for bills can be chosen. Then write the amount in number as well in letters.

2. The sign of the depositor must be there if they have received cash. Hence, the statement is false.

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The domain of the graph of the exponential function is (d) all real numbers

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

The graph of the exponential function

The rule of an exponential function is that

The domain is the set of all real numbers

This means that the input value can take all real values

However, the range is always greater than the constant term

From the graph, the constant term is 0

So, the range is y > 0

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Answer:

$76.

Step-by-step explanation:

Answer:

180 gallons

Step-by-step explanation:

The smaller container has 150 gallons.

Now the large container is filled with the 4/5 of the smaller container.

So if the full volume of the small container is 150 gallons so the 4/5 of it can be calculated as, 4/5*150=120 gallons.

Answer:

hoi

Step-by-step explanation:

Mathematics provides a framework for developing critical thinking, problem-solving, and analytical skills that are valuable in many aspects of life.

What is mathematics?

Mathematics is a fundamental discipline that plays a crucial role in our daily lives and in shaping our understanding of the world.

Mathematics is a field of study that deals with the properties and relationships of numbers, quantities, shapes, and patterns. It involves using logical reasoning, abstraction, and symbolic manipulation to understand and solve problems related to these concepts.

Mathematics is important for many reasons. First and foremost, it is a fundamental tool for understanding and describing the world around us. It plays a crucial role in science, technology, engineering, economics, finance, and many other fields by providing tools for modeling and analyzing complex phenomena.

Mathematics is also essential for making accurate predictions and decisions based on data and evidence, as well as for designing and optimizing systems and processes.

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Answer:

Step-by-step explanation:

The magnitude of an earthquake is a measure of the amount of energy released during the earthquake. A stronger magnitude generally means a more powerful earthquake.

Answer:

t(2,-2),C(2,-5),z(5,-4),f(5,0)

Step-by-step explanation:

because it reflects across the x-axis the y changes to the opposite.

Answer:

  2x -3

Step-by-step explanation:

Given a rectangle with area 2x²+x-6 and one dimension x+2, you want the other dimension.

The area of a rectangle is the product of its length and width. Given the area and the width, we can solve for the length:

  A = LW

  A/W = L

So, the missing dimension is the quotient of (2x²+x-6) and (x+2). In the attached, we find that quotient by synthetic division.

The missing dimension is 2x -3.

__

Additional comment

You can also use any of several methods to factor the area expression. We recognize that numbers of interest will be factors of (2)(-6) that total +1. Those would be -3 and +4. Then we can write ...

  A = 2x² +x -6 = (2x -3)(2x +4)/2 = (2x -3)(x +2)

We recognize the factor (x+2) as the given dimension, so the missing dimension is (2x -3).

Answer:

\(area = length \: \times \: width \\ = \frac{11}{2} \times \frac{3}{4} \\ = \frac{(11 \times 3)}{(2 \times 4)} \\ = \frac{33}{8} \\ area = 4.125 \: {m}^{2} \\ or \\ area = 4 \frac{1}{8} \: {m}^{2} \)

To find the distance between Basti and Cian, we can use the law of sines in triangle ABC. The law of sines states that the ratio of the length of a side to the sine of the opposite angle is constant for all sides and their corresponding angles in a triangle.

Let's label the distance between Basti and Cian as "x". We know that the measure of angle ABC is 50 degrees and the measure of angle BAC is 60 degrees. We also know that Ali is exactly 150 ft away from Basti.

Using the law of sines, we can set up the following equation:

sin(50°) / 150 = sin(60°) / x

To solve for "x", we can rearrange the equation:

x = (150 * sin(60°)) / sin(50°)

Using a calculator, we can evaluate the expression:

x ≈ (150 * 0.866) / 0.766

x ≈ 168.4 ft

Therefore, the distance between Basti and Cian is approximately 168.4 ft.

the price per cubic inch of the pop-cone is $0.019  per in³

To find the price per cubic inch, we need to take the quotient between the cost and the volume of the cone.

The cost is $0.99

Remember that the volume of a cone of radius R and height H is:

V = (1/3)*3.14*R²*H

Here R = 5in/2 = 2.5 inches

H = 8 inches.

Plugging that in the volume formula, we will get.

V = (1/3)*3.14*(2.5 in)²*8in = 52.33 in³

Then the price per cubic inch is:

P = $0.99/52.33 in³ = $0.019  per in³

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If an equilateral triangle has a perimeter of 24 feet. the area of the circle is approximately 50.27 square feet.

Since the perimeter of the equilateral triangle is 24 feet, each side has a length of 8 feet (since all three sides are equal).

The diameter of the circle is equal to the length of one side of the equilateral triangle, which is 8 feet. Therefore, the radius of the circle is half the diameter, which is 4 feet.

The area of a circle is given by the formula:

A = πr^2

where A is the area and r is the radius.

Plugging in the value of the radius, we get:

A = π(4 feet)^2

A = 16π square feet

A ≈ 50.27 square feet (rounded to two decimal places)

Therefore, the area of the circle is approximately 50.27 square feet.

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Answer:

0.11

Step-by-step explanation:

Write down the percent divided by 100 like this:percent 100

Then if the percent is not a whole number then multiply both top and bottom by 10 for ever

Answer:

  (x, y) = (2 2/9, -1 4/9)

Step-by-step explanation:

Equate the values of y and solve for x.

  1/4x -2 = -2x +3

  (2 1/4)x = 5 . . . . . . . . add 2+2x to both sides

  x = 20/9 = 2 2/9 . . . multiply by 4/9

  y = -2(2 2/9) +3 = -4 4/9 +3 . . . . substitute for x in the second equation

  y = -1 4/9

The solution is x = 2 2/9, y = -1 4/9.

Step-by-step explanation:

This rule states that the same value can be added to both sides of an equation without interfering with the solving process of the equation

Answer:

Step-by-step explanation:

it think it 23 becasue u add

1 divide it by 2

The revenue function for the cakes can be shown as: R(x1, x2, x3, x4, x5) = $9x1 + $12x2 + $4x3 + $5x4 + $8x5

The revenue function is described as  the total amount of money earned from selling a certain quantity of cakes.

We make the following  

Cake 1 sold =  x1

Cake 2 =  x2

Cake 3 = x3,

Cake 4 =  x4,

Cake 5=  x5.

The revenue generated from selling each cake is:

Revenue1 = $9 * x1

Revenue2 = $12 * x2

Revenue3 = $4 * x3

Revenue4 = $5 * x4

Revenue5 = $8 * x5

Total revenue = Revenue1 + Revenue2 + Revenue3 + Revenue4 + Revenue5

Total revenue = $9 * x1 + $12 * x2 + $4 * x3 + $5 * x4 + $8 * x5

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Answer:

11 miles

Step-by-step explanation:

All you have to do is subtract the number of miles from home to library, which was 7 miles, from the total distance of 18 miles, you're left with 11 miles. Hope that helps!

Answer:

Step-by-step explanation:

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