If every dimension of a two dimensional figure is multiplied by k, by what quantity is the area multiplied?

Final answer:

To find the two consecutive odd integers, we set up the equation n + 44 = 3(n + 2), where n is the lesser integer. Solving the equation gives us n = 19, so the integers are 19 and 21.

Explanation:

The question asks to find two consecutive odd integers such that 44 more than the lesser is three times the greater. Let's denote the lesser integer as n and the greater as n + 2, as consecutive odd integers differ by 2. We can set up the following equation based on the given information: n + 44 = 3(n + 2).

Now, we solve for n:

n + 44 = 3n + 6

Subtract n from both sides: 44 = 2n + 6

Subtract 6 from both sides: 38 = 2n

Divide both sides by 2: 19 = n

Therefore, the lesser integer is 19, and the greater integer is 19 + 2 = 21.

m∠C=m∠Dx=−3x+804x=80x=20

m∠C=x∘=20∘

Answer: 0.6 is ten times as much as 0.06

Step-by-step explanation:

We are given a statement:

0.6 is ten times as much as

Let the number be considered as 'x'

'Times' in the above statement means multiplication operation.

So, the equation for the given statement becomes:

[tex]0.6=10\times x[/tex]

To solve the value of 'x', we shift the number '10' to other side of the equation and operation applied will be division.

Solving the above equation, we get:

[tex]0.6=10\times x\\\\x=\frac{0.6}{10}=0.06[/tex]

Hence, 0.6 is ten times as much as 0.06

Final answer:

The equation 17x × 1 = 17x illustrates the Identity Property of Multiplication, indicating that multiplying by one does not change the value of a number.

Explanation:

The equation 17x × 1 = 17x demonstrates the Identity Property of Multiplication. This property states that when any number is multiplied by one, the result is the original number. It's called the identity property because one is the identity element for multiplication. Multiplication or division by the same number on both sides of an equation will not change the equality. Therefore, multiplying by one does not alter the value of the quantity.

For example, the equation could also be expressed as 1 × 17x = 17x, showcasing the Commutative Property of Multiplication, which allows us to change the order of the factors without changing the product. However, the main focus here is the identity property, as the number stays the same after multiplication by one.

Follow below steps;

If North America burned 4.5 x 1016 BTU of petroleum in 1998, this rate of consumption can be used to calculate the amount of BTU burned over 9 years. To find the total BTU usage over 9 years, we simply multiply the annual consumption rate by 9.

Annual BTU consumption: 4.5 x 1016 BTU

Consumption over 9 years: 4.5 x 1016 BTU/year * 9 years = 40.5 x 1016 BTU

This calculation shows that North America would have burned a total of 40.5 x 1016 BTU of petroleum over a period of 9 years if the consumption rate remained consistent.

If we want to divide 100 mL into 10 equal parts we have to pour 10 mL into each cup.

It is defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has basic four operators that are +, -, ×, and ÷.

We'll apply division by Splitting into equal halves or groups, the division may be used to decide how to distribute a dish of cookies evenly among a group.

It is given that we want to divide 100 mL into 10 equal parts,

Suppose x milliliters should we pour into each cup,

x = Total volume / Number of cups

x = 100 mL / 10

x =10 mL

Thus, if we want to divide 100 mL into 10 equal parts we have to pour 10 mL into each cup.

Learn more about the arithmetic operation here:

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To estimate the total cost, round the numbers and calculate, we get an estimate of $2000. The exact answer for the total cost is $2009.

To estimate the total cost of the MP3 players, we can round the number of blue MP3 players down to 20 and the number of red MP3 players up to 30. So, estimating each at $40, we have a total of $40 x 20 + $40 x 30 = $800 + $1200 = $2000.

To find the exact answer for the total cost, we multiply the cost of each MP3 player ($41) by the number of blue and red MP3 players separately. So, the blue MP3 players cost $41 x 22 = $902, and the red MP3 players cost $41 x 27 = $1107. Adding these together gives a total of $902 + $1107 = $2009.

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Answer:

The number rounded to the nearest tenth is 15.8.

Step-by-step explanation:

Kendra and her horse completed barrel racing course in 15.839 seconds.

So, the number rounded to the nearest tenth or 0.1 is 15.8 because the number next to 8 is 3, it will not make eight '9' .

Hence, the number rounded to the nearest tenth is 15.8.

descended would mean he was -1400 feet from the entrance

he then rose 800 feet so

-1400 + 800 = -600 feet

he then went down 450 feet

-600 - 450 = -1050 feet

net loss was 1050 feet

The overnight low temperature was -14 degrees F, calculated by subtracting the temperature drop from the initial temperature.

In the context of determining the overnight low temperature, it's essential to consider the initial temperature and the subsequent change. In this specific scenario, the starting point is a temperature of 0 degrees Fahrenheit. However, as the night progresses, the temperature experiences a decrease of 14 degrees.

To pinpoint the overnight low temperature, we employ a straightforward subtraction method. By subtracting the amount of change, which is 14 degrees, from the initial temperature of 0 degrees Fahrenheit, we arrive at the final result of -14 degrees Fahrenheit.

This calculation demonstrates the mathematical approach to determining temperature variations, which is especially pertinent in weather forecasting and climatology. It showcases how understanding temperature fluctuations and changes is crucial for assessing climatic conditions and their impact on various aspects of daily life and scientific research.

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Answer:

x = -4.

Step-by-step explanation:

As we have the standard form of a parabola, that is [tex]ax^2+bx+c[/tex] the axis of symetry will be the line [tex]x = \frac{-b}{2a}[/tex]. In this case we have that a = 5, b = 40 and c = 64. Then the axis of symtery is

[tex]x = \frac{-40}{10} = -4[/tex].