How to determine the domain and range of a rational function?
The sum of three fourths of a number and 1 is 5
What is the value of m?
1
_m =12-m
3
The Porter family has a net income of $5,000. If they want to reduce their food budget by $50, how much would the new food budget be? $
The new food budget is $400, the difference in the savings is $50 and the amount of money saved now is $2700.
What is an Equation?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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What types of triangles can have an obtuse angle?
Scalene
Right
Acute
Isosceles
Why does the slope formula not work for vertical lines?
is someone can help me please please i will give 20 points please
Explain why the equation 6|x| + 25 = 15 has no solution. When one solves, they arrive at a step where |x| is equal to a negative number. Since | x| can never be negative, there is no solution. When one solves, they arrive at a step where |x| is equal to a fraction that may not be represented as an integer. Since | x| must be an integer, there is no solution. When one solves, they arrive at a step where x is equal to a negative number. Since x can never be negative inside of the absolute value bars, there is no solution. The statement is false. There is a solution.
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.
Explanation: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.
Sam can rent a canoe for $3 an hour. if he rents the canoe , he would also have to pay $15 for a non-refundable deposit. he has $30 to spend on canoeing. write an equationto find out how many hours sam can canoe?
Find the equation of the line which is perpendicular to the line y=− 1 3 x+6 through the point (2,4). answer:
Angle A and angle B are supplementary. The measure of angle A is 4 less than 7 times the measure of angle B. Find the measure of A and B.
17 − 2v = 41 solve v
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.
There are 3 consecutive integers with a sum of 69. what are they?
I need help with #12. I have to show work too.
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34 days to 2 weeks the ratio is
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].
Need help with number 12. Thanks
Find the area of the figure.
*50 ft2
*41 ft2
*42 ft2
*38 ft2
Plzzzz Help mee with the there questions i dont like math :P
The formula for a trapezoid relates the area A, the two bases, a and b, and the height, h
A=H(A+B)/2
Solve for b.
A. B=Ah/2-a
B. B=2A/h+a
C. B=2A/h-a
D. B=2A-a/h
Answer:
The answer is b=2A/h-a
Oliver is working on a puzzle of the Eiffel Tower. The tower in the puzzle is 28.5 in. tall. The packaging lists the scale as 1:415. What is the height of the actual Eiffel tower to the nearest foot?
Seven years ago, kodi found a box of old baseball cards in the garage. since then, he has added a consistent number of cards to the collection each year. he had 52 cards in the collection after 3 years and now has 108 cards. kodi looking into his box of baseball cards. how many cards were in the original box? is this t(0) or t(1)? write the first few terms of the sequence. kodi plans to keep the collection for a long time. how many cards will the collection contain 10 years from now? write an equation that determines the number of cards in the collection after n years. what does each number in your rule represent?
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
What is the slope of the line?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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Which of the following is not included in the five number summary?
A- median
B- maximum
C- mean
D- minimum
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.
What is statistics ?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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What are the steps to find x
The volume of a rectangular box is 2160 in cubes. It is 10 in. wide and 18 in. long. What is the height of the box?
The table shows the annual profits (in thousands of dollars) of a county fair from 2008 to 2012. What must the 2012 profit be (in hundreds of dollars) to break even over the five-year period?
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.
Rae earns $60 for playing music on saturday nights at the local coffee house. she makes an average of $5.25 in tips per hour. write the function of rae's earnings, and solve for how much she would make after 4 hours. y = 5.25x + 60; $65.25 y = 60x + 5.25; $85.75 y = 5.25x + 60; $81.00 y = 60x + 5.25; $185.25
I have 3 pieces of candy to place in 4 lunch boxes. In how many ways can I do this if: (a) The candies are all the same and the lunch boxes are all different? (b) The candies are all different and the lunch boxes are all the same? (c) Exactly two of the candies are the same (but the third is different) and all of the lunch boxes are different? Please explain your work IN DETAIL. Thanks!
can someone help me out
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
Of the ice cream cones sold yesterday at percy's ice cream shop, 1/3 were chocolate and another 1/2 were vanilla. what fraction of the ice cream cones sold were either chocolate or vanilla
The required fraction of the ice cream cones sold were either chocolate or vanilla is 5/6.
What is Least Common Denominator?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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