Each side of this pentagon is the same length.



How many lines of symmetry does this pentagon have?





A.
0


B.
2


C.
3


D.
5

The ratio of 34 days to 2 weeks is [tex]\(\frac{34}{2 \times 7}\)[/tex].

To find the ratio of 34 days to 2 weeks, we first need to convert 2 weeks into days, since there are 7 days in a week. Therefore, 2 weeks is equivalent to [tex]\(2 \times 7\)[/tex] days, which is 14 days.

Now, we can set up the ratio of 34 days to 14 days (2 weeks):

[tex]\[ \text{Ratio} = \frac{34 \text{ days}}{14 \text{ days}} \][/tex]

To simplify this ratio, we can divide both the numerator and the denominator by their greatest common divisor (GCD). The GCD of 34 and 14 is 2.

Dividing both by 2, we get:

[tex]\[ \text{Ratio} = \frac{34 \div 2}{14 \div 2} = \frac{17}{7} \][/tex]

So, the simplified ratio of 34 days to 2 weeks is [tex]\(17:7\) or \(\frac{17}{7}\)[/tex].

Answer:

In year 2012, 0.45 thousands dollars will bring the break even for the company.

Step-by-step explanation:

The table shows the annual profits of a county fair from 2008 to 2012.

We have to calculate the profit in 2012 to get the break even over the five year period.

Total profit in four years = profit in year (2008 + 2009) = 2.5 + 1.75 = 4.25 thousand dollars

Total loss in four years = loss in year (2010 + 2011) = 3.3 + 1.4 = 4.7 thousand dollars

Net profit or loss = Net profit - net loss = 4.25 - 4.7 = -0.45

There is a net loss of 0.45 thousand dollars.

If we get a profit of 0.45 thousand dollars in year 2012, we will be in the situation of no profit and no loss (break even).

Therefore, profit of 0.45 thousands of dollars is the answer.

The equation 6|x| + 25 = 15 has no solution because it implies that |x| equals a negative number after simplification, and absolute values cannot be negative.

The equation 6|x| + 25 = 15 has no solution because the absolute value of x, denoted by |x|, represents the distance of x from zero on the number line, and as such, it can never be negative. When we solve the given equation, we isolate the absolute value on one side which gives us 6|x| = -10 after subtracting 25 from both sides. Dividing by 6, we obtain |x| = -10/6, which is a negative number. However, since an absolute value cannot equal a negative number, this indicates that there is no valid solution to the equation.

The required equation is y = 14x + 10 which is the number of cards in the collection and he will have 150 cards after 10 years

The slope of the line is defined as the gradient of the line. It is denoted by m

Slope m = (y₂ - y₁)/(x₂ -x₁ )

As per the question, we take the two points are (3,52) (7,108)

So slope = (108 - 52) / (7 - 3) = 56/4 = 14

y = mx + b

slope(m) = 14

Substitute the value of x = 3 and y = 52 in the equation

52 = 3(14) + b

52 = 42 + b

52 - 42 = b

10 = b

So the original amount of cards is 10

If x represents the number of years, while y is the total number of cards.

y = 14x + 10

He began with 10 cards and has added 14 cards every year thereafter.

So after 10 years

y = 14(10) + 10

y = 140 + 10

y = 150

Therefore, he will have 150 cards after 10 years

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Answer:

The answer is b=2A/h-a

The new food budget is $400, the difference in the savings is $50 and the amount of money saved now is $2700.

An equation is a mathematical statement formed when two algebraic expressions are equated using an equal sign.

The equations are useful in determination of unknown parameters.

The Porter family has a net income of $5000.

The food budget of the family is $450

The budget is reduced by $50

The new food budget is $450 - $50

The new food budget is $400

Initially they used to save,

= $5000 - $450-  $1900

= $2650

Now as the expense has been reduced by $50,

The new savings will be,

= $2650 + $50

= $2750

It seems that your question is incomplete, the complete question is :

The Porter family has a net income of $5,000. They have a monthly food budget of $450 and $1900 is extra expenses, If they want to reduce their food budget by $50, how much would the new food budget be and what will be the difference in the savings.

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I don't see in the problem what she is paid for over time but it is normally 1.5 times per hour

 so 40 hours at 25 = 1000

51-40 = 11 hours of over time

25 *1.5 = 37.50 per hour for over time

11 * 37.50 = 412.50

1000+412.50 = 1412.50 total

Final answer:

To solve the equation 17 - 2v = 41, subtract 17 from both sides to get -2v = 24. Then divide both sides by -2 which gives v = -12.

Explanation:

To solve the equation 17 - 2v = 41 for v, first we need to isolate v on one side of the equation. We can start by subtracting 17 from both sides to rid the left side of numbers without the variable v. This gives us the equation:

-2v = 41 - 17

-2v = 24

Now, to solve for v, we divide both sides of the equation by -2:

v = 24 / (-2)

v = -12

Therefore, the solution to the equation is v = -12.

The required fraction of the ice cream cones sold were either chocolate or vanilla is 5/6.

The lowest common denominator is defined as the set of fraction denominators with the lowest common multiple. The lowest positive integer with more than one denominator in the set is LCD.

We have been given that of the ice cream cones sold yesterday at Percy's ice cream shop, 1/3 were chocolate and another 1/2 were vanilla.

We have to determine the fraction of the ice cream cones sold were either chocolate or vanilla

1/3 equals 2/6

According to the given question,

The fraction of either vanilla or chocolate will be:

⇒ 1/3 + 1/2

Change into a lowest common denominator,

⇒  2/6 + 3/6

Apply the addition operation to get

⇒  5/6

Therefore, the required fraction of either vanilla or chocolate is 5/6.

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The mean is not included in the five number summary.

It is required to choose the following is not included in the five number summary.

Statistics are defined as numerical data, and is the field of math that deals with the collection, tabulation and interpretation of numerical data. It is the study and manipulation of data, including ways to gather, review, analyze, and draw conclusions from data.

Given:

Actually its the mean. The 25th percentile is Q1 which is used to calculate inter-quartile range i.e.

[tex]IQR=Q_{1} -Q_{3}[/tex]

The mean has nothing to do with the five number summary or box and whisker plot.

The  five number summary consists of five values: the most extreme values in the data set (the maximum and minimum values), the lower and upper quartiles, and the median.

Therefore, the mean is not included in the five number summary.

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