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PtichkaEL
8 days ago
7

Mary wrote a book of 1536 pages. She numbered all pages by hand. How many times did she write the digit 6?

Mathematics
1 answer:
lawyer [4K]8 days ago
8 0

Response:

404 instances

Detailed breakdown:

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A recycling truck begins its weekly route at the recycling plant at point A, as pictured on the coordinate plane below. It trave
Inessa [3907]

Response:

41

Detailed explanation:

5 0
15 days ago
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If the tax rate on homes in Topeka, Kansas is 2.4 percent of their value and Bonnie owns a $100,000 house, how much will the rea
PIT_PIT [3919]

Answer:

  $200

Step-by-step explanation:

The yearly tax obligation is...

  2.4% × $100,000 = $2,400

Monthly, this amounts to...

  $2400/(12 mo) = $200/mo

This means taxes will increase Bonnie's monthly mortgage payment by $200.

3 0
8 days ago
Explain how to graph the given piecewise-defined function. Be sure to specify the type of endpoint each piece of the function wi
Zina [3914]

In certain cases, a function necessitates multiple formulas to achieve the desired outcome. An example is the absolute value function \displaystyle f\left(x\right)=|x|f(x)=∣x∣. This function applies to all real numbers and yields results that are non-negative, defining absolute value as the magnitude or modulus of a real number regardless of its sign. It indicates the distance from zero on the number line, requiring all outputs to be zero or greater.

<pwhen inputting="" a="" non-negative="" value="" the="" output="" remains="" unchanged:="">

\displaystyle f\left(x\right)=x\text{ if }x\ge 0f(x)=x if x≥0

<pwhen inputting="" a="" negative="" value="" the="" output="" is="" inverse:="">

\displaystyle f\left(x\right)=-x\text{ if }x<0f(x)=−x if x<0

Due to the need for two distinct operations, the absolute value function qualifies as a piecewise function: a function defined by several formulas for different sections of its domain.

Piecewise functions help describe scenarios where rules or relationships alter as the input crosses specific "boundaries." Business contexts often demonstrate this, such as when the cost per unit of an item decreases past a certain order quantity. The concept of tax brackets also illustrates piecewise functions. For instance, in a basic tax system where earnings up to $10,000 face a 10% tax, additional income incurs a 20% tax rate. Thus, the total tax on an income S would be 0.1S when \displaystyle {S}\leS≤ $10,000 and 1000 + 0.2 (S – $10,000) when S > $10,000.

</pwhen></pwhen>
4 0
1 day ago
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An office has 80 employees, and 24 of the employees are managers. What percentage of the employees are managers?
Leona [4166]

Solution:

30% of the workforce consists of managers.

Explanation:

Given that there are 80 employees, out of which 24 are managers, we need to determine what percentage this represents.

This percentage can be calculated using the formula below:

\% = \frac{\text{Number of managers}}{\text{Total number of employee}}\times 100

By plugging in the known values, we have:

\%=\frac{24}{80}\times 100\\\%=\frac{3}{10}\times 100\\\%=3\times 10\\\%=30\%

Thus, 30% of the employees are managers.

3 0
12 days ago
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Ali's dog weighs 8 times as much as her cat. Together the two pets weigh 54 pounds. How much does Ali's dog weigh?
babunello [3635]
48, since 9x equals 54. Dividing 54 by 9 results in 6. Multiplying 6 by 8 gives 48
~JZ
3 0
5 days ago
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