Answer:
Carter family = 25 hours
Davis family = 31 hours
Step-by-step explanation:
Let's say the number of hours the Carter family used their sprinkler is x and the number of hours the Davis family used their sprinkler for is y.
So combined:
x + y = 45 hours
and we are also told that:
40x + 15y = 1300 L
So we can do simultaneous equations to solve the problem.
With some rearranging, we can figure out that:
y= 45 - x
and by substituting that into the second equation:
40x + 15 (45 -x) = 40x + 675 - 15x = 1300L
25x = 1300 - 675
25x = 625
x = 25 = hours that the Carter family used their sprinkler
and we can substitute that back into the original equation to find how many hours the Davis family used their sprinkler so:
25 + y = 56
y = 31
The Davis family used their sprinkler for 31 hours whilst the Carter family used their sprinkler for 25 hours.
Casey bought an 100 pound bag of dog food . He gave his dogs the same amount of dog food each week. the dog food lasted eight weeks. How much dog food did Cassie give his dogs each week? give the answer as a fraction or a mixed number
Solve the system of equations :-6x - y = -16-6x -5y = -8
The given system of equation are :
-6x - y = -16
-6x -5y = -8
On subtracting both the equation we get :
-6x -y -(-6x -5y) = -16 -(-8)
-6x -y +6x +5y = -16 +8
-6x + 6x +5y -y = -8
4y = -8
4y = -8
Divide both side by 4:
4y/4 = -8/4
y = -2
Substitute the value of y =- 2 in the any one equation:
-6x - y = -16
-6x - (-2)= -16
-6x + 2 = -16
-6x = -16 -2
-6x = -18
x = 3
Answer : x = 3, y = -2
the polar express travels at 150 miles per hour how many hours will it take it to travel 3000 miles??
Use the distance formula to find the distance between cach pair of points. If necessary,
round to the nearest tenth.
C (-2,6), D (10,-8)
Answer:
\(d \approx 18.4\)
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra II
Distance Formula: \(d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\)Step-by-step explanation:
Step 1: Define
Point C (-2, 6)
Point D (10, -8)
Step 2: Find distance d
Substitute: \(d = \sqrt{(10+2)^2+(-8-6)^2}\)Add/Subtract: \(d = \sqrt{(12)^2+(-14)^2}\)Exponents: \(d = \sqrt{144+196}\)Add: \(d = \sqrt{340}\)Simplify: \(d =2 \sqrt{85}\)Evaluate: \(d = 18.4391\)Round: \(d \approx 18.4\)Please help me on question 4
The painting shown at the right has an area of 260 in^2. What is the value of x?
Answer:
rt The painting shown at the right has an area of 420 in.2. What is the value of x? Step-by-step solution. Step 1 of 5. The area of a rectangular painting of length ...
Step-by-step explanation:
Help needed asap
If 0
Answer:
umm... i need a problem or anything bud
Step-by-step explanation:
The midpoint of AB is M(1, -4). If the coordinates of A are (-3,-6), what are the coordinates of B?
Answer:
The coordinates of B is (5,-2)
Step-by-step explanation:
In order to find the coordinates of B, you have to use midpoint formula. Then substitute the following values into the formula :
\(m = ( \frac{x1 + x2}{2} , \frac{y1 + y2}{2} )\)
Let (x1,y1) be A (-3,-6),
Let (x2,y2) be B,
Let midpoint be M (1,-4),
\((1, - 4) = (\frac{ - 3 + x2}{2} , \frac{ - 6 + y2}{2} )\)
\(by \: comparison, \: \)
\( \frac{ - 3 + x2}{2} = 1\)
\( - 3 + x2 = 2\)
\(x2 = 5\)
\( \frac{ - 6 + y2}{2} = - 4\)
\( - 6 + y2 = - 8\)
\(y2 = - 2\)
How do you Factor out greatest common factor of 30x³y³z²+12x²y²z³-18x⁵y⁶z ?
Step-by-step explanation:
30x³y³z²+12x²y²z³-18x⁵y⁶z
6x²y²z(5xyz+2z²-3x³y⁴).
hope this helps you.
Find the cost per ounce of a gold alloy made from 10 oz of pure gold that costs $1288 per ounce and 55 oz of an alloy that costs $900 per ounce. (Round your answer to the nearest cent.)
Answer:
$959.69 per oz
Step-by-step explanation:
A gold alloy is produced from pure gold and alloy.
10 oz of pure gold costs $1,288 per ounce
55 oz of alloy costs $900 per ounce
The first step is to add the cost of both the pure gold and alloy together
= (10 oz × $1288)+(55 oz × $900)
= $12,880+$49,500
= $62,380
Therefore the cost per ounce can be calculated as follows
= $62,380/10 oz + 55 oz
= $62,380/65 oz
= $959.69 per oz.
Hence the cost per ounce of the gold alloy is $959.69 per ounce
7 x -5/9
HELP PLEASE
a child advocate collects data by randomly selecting 4 of the 25 state orphanages and surveys every child in the four orphanages.
The child advocate collects data by randomly selecting 4 out of the 25 state orphanages. In each of the four selected orphanages, the child advocate surveys every child.
This approach allows the child advocate to obtain information from a representative sample of children in state orphanages. By surveying every child in the selected orphanages, the child advocate ensures that no child is excluded from the data collection process. This method provides a comprehensive understanding of the experiences, needs, and concerns of the children in the four chosen orphanages.
By collecting data in this manner, the child advocate can gather valuable insights that can inform policies and interventions to improve the well-being and support for children in state orphanages.
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Which equation can be solved to find the measure in degrees of ZPQS?
o - 60 - 180
2- 60 - 180
20-60-90
-60-90
0-192 29-17
Equation can be solced to find t
Which expression has a base with an exponent of 4?
Option 4 is the only expression with a base raised to the fourth power, making it the expression with a base having an exponent of 4
To identify the expression that has a base with an exponent of 4, we need to look for an expression with a variable or number raised to the fourth power.
In option 1, the expression p + 4 has no exponents, so it cannot be the expression with a base having an exponent of 4.
In option 2, the expression 4 • I • y has no exponents, so it also cannot be the expression with a base having an exponent of 4.
In option 3, the expression 4z^3 has an exponent of 3, not 4. However, we can simplify this expression as z x z x z x z, which gives us the expression z^4. Therefore, option 3 could also be a possible answer.
In option 4, we have the expression 3m^4, which means that the base is m and the exponent is 4. Therefore, option 4 is the correct answer.
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your question is incomplete but probably the full question is :
Which expression has a base with an exponent of 4?
1. p + 4
2. 4 • I • y
3. 4z^3
4. 3m^4
What is the probability of drawing a heart card from a full deck of cards and randomly selecting the letter j from a list of the alphabet?
its not 26%
Answer:
3.85%????
Step-by-step explanation:
Answer:0.96%
Step-by-step explanation:
The probability of randomly selecting a heart from a standard deck of 52 playing cards is 13 out of 52, because there are 13 hearts in the deck (one for each rank). Therefore, the probability is:
Probability of selecting a heart card = (Number of heart cards) / (Total number of cards) = 13 / 52 = 1 / 4 = 0.25
So, the probability of randomly selecting a heart card from a deck of cards is 0.25, or 25%.
The probability of randomly selecting the letter "J" from a list of letters in the English alphabet is 1 out of 26, since there are 26 letters in the alphabet. Therefore, the probability is:
Probability of selecting the letter "J" = (Number of "J" letters) / (Total number of letters) = 1 / 26 ≈ 0.0385
So, the probability of randomly selecting the letter "J" from a list of letters in the alphabet is approximately 0.0385, or about 3.85%.
Multiply these 2 percentages together to get the combined probability:
To find the product of 25% and 3.85%, you can multiply these percentages together:
0.25
×
0.0385
=
0.009625
0.25×0.0385=0.009625
So,
25
%
25% times
3.85
%
3.85% equals
0.009625
0.009625, which is approximately
0.9625
%
0.9625%.
earle bailey has 20 songs to choose from but can play only 7 in the next half‑hour on siriusxm classic vinyl. how many different (ordered) playlists are possible? (use decimal notation. give your answer as an exact number.)
The answer is 77520.
What is meant by decimal notation?Decimal notation is an alternative way to represent fractional values in mathematics. This indicates that base 10 is being used for the fractional representation. Both the fractions and decimals can be transformed. For instance, the decimal representation of the fraction 5/10 is 0.5.Any value between 1.0 and 10.0 that can be expressed as a decimal number and multiplied by a power of 10 is considered standard form. If you look closely, you will see that 1.23 is a decimal between 1.0 and 10.0, and as a result, we have the standard form of 123,000,000 as 1.23 108.Because they represent a portion of a whole number, decimals are equivalent. The distinction is that fractions and decimals are written using different notations. We can visually estimate how much of a full number we are working with thanks to decimal notation.How many different (ordered) playlists are possible?
Number of possible playlists = 77520
Explanation:
Total number of songs = 20
Songs in the playlist = 7
So, we need to select 7 songs out of 20. This can be done using combinations.
n = 20 , r=7
C( n , r ) = ?
C( n , r ) = C (20 , 7)
= 20! / ( 7! (20-7)!)
= 20! / ( 7! × 13! )
= 77520
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that you've created a dataframe, you want to find out more about how the data is organized. the data frame has hundreds of rows and lots of columns. assume the name of your data frame is flavors df. what code chunk lets you get a glimpse of the contents of the data frame? csv-function-to-import-the-data-from-the-csv-file-assume-that-the-name-of-the-data-frame-is-flavors df-and-the-csv-file-is-in-the-working-directory-what-code-chunk-lets-you-crea/
To get a glimpse of the contents of the DataFrame named "flavors_df," you can use the head() function. This function allows you to view the first few rows of the DataFrame, providing a quick overview of the data organization.
In Python, when you have a DataFrame named "flavors_df," you can use the head() function to view the first few rows of the DataFrame. The head() function is a useful tool for getting an initial understanding of the data's structure and contents. By default, it displays the first five rows of the DataFrame, but you can specify the number of rows you want to see by passing an argument to the function.
Here's an example of how you can use the head() function to view the contents of the "flavors_df" DataFrame:
scss
Copy code
flavors_df.head()
Executing this code will output the first five rows of the DataFrame. If you want to see a different number of rows, you can pass the desired number as an argument to the head() function. For instance, flavors_df.head(10) will display the first ten rows of the DataFrame. This quick glimpse allows you to assess the data's structure and decide on further analysis or data manipulation steps based on the available information.
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What is linear regression method?
in 100 words or more.
Linear regression is a statistical method used to model the relationship between a dependent variable and one or more independent variables. It aims to find a linear equation that best fits the observed data points, allowing for the prediction of the dependent variable based on the independent variables.
In more detail, linear regression assumes a linear relationship between the dependent variable and the independent variables. The method estimates the parameters of the linear equation by minimizing the sum of the squared differences between the observed data points and the predicted values. This is typically done using a technique called ordinary least squares (OLS) regression. The resulting linear equation can be used to make predictions or infer the impact of the independent variables on the dependent variable.
Linear regression is widely used in various fields, including economics, finance, social sciences, and machine learning. It provides a simple and interpretable way to analyze and understand the relationship between variables. However, it is important to note that linear regression assumes certain assumptions about the data, such as linearity, independence of errors, and homoscedasticity. Violations of these assumptions can affect the accuracy and reliability of the regression model.
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Complete the square to re-write the quadratic function in vertex form:
Answer:
(x+2)^2 - 6
Step-by-step explanation:
Will earned $750 per week. If he earns $20 per hour, how many hours did he work?
Answer:
Step-by-step explanation:
If it asked how many hours he worked per week, then the answer is 37.5 hours
Answer:
37.5 hours!
Step-by-step explanation:
750/20
How do I determine whether a graph is a function?
Here's a more detailed explanation: To determine if a graph is a function, you can use the vertical line test. The vertical line test states that if you can draw a vertical line that intersects the graph in more than one place, then the graph is not a function.
Determining whether a graph represents a function is an important concept in mathematics, especially in algebra and calculus. A function is a set of ordered pairs where each input is associated with exactly one output.
So, if you take a ruler or a straight edge and place it vertically on the graph, and it intersects the graph in two or more points, then the graph is not a function. This is because if two points in the graph have the same x-value, they must have different y-values, since functions can only have one output for each input.
On the other hand, if you place a vertical line anywhere on the graph and it intersects the graph in only one point, then the graph is a function.
It's also important to remember that a function must also pass the horizontal line test, which means that no horizontal line can intersect the graph in more than one place.
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plz help its math
do 1 pick anything
Answer:
-3
Step-by-step explanation:
30/(-2)-(-3)(4)
BIDMAS
-15 - (-3)(4)
-15 - -12
-15+12
-3
Answer:
75
Step-by-step explanation:
(16 - 4 + 9 ÷ 3)² ÷ 3
(16 - 4 + 3)² ÷ 3
15² ÷ 3
\( \frac{ {15}^{2} }{3} = \frac{225÷3}{3÷3} \)
= 75
Find the property for
9 • (-1 • x) = 9 • (-x)
limℎ→0(9+ℎ)−1−9−ℎFind solutions lim h→0 (9 + h)−1 − 9−1 h
The solution to lim h→0 (9 + h)−1 − 9−1 h is -1/9.
To find the solution to lim h→0 (9 + h)−1 − 9−1 h, we can simplify the expression first.
Starting with (9 + h)−1, we can use the formula for the difference of squares to get:
\((9 + h)-1 = (9 + h - 9) / ((9 + h)(9 - 9)) = h / (9h + h^2)\)
Substituting this back into the original expression gives:
\((9 + h)-1 -9-1 h = h / (9h + h^2) - 1 / 9h\)
We can combine the two fractions by finding a common denominator of 9h(9 + h), giving:
(9h - (9 + h)) / (9h(9 + h)) = -1 / (9 + h)
Now we can take the limit as h approaches 0:
lim h→0 (9 + h)−1 − 9−1 h = lim h→0 -1 / (9 + h) = -1 / 9
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The cost of a pizza varies directly as the square of its radius. If a pizza with a 6 inch radius costs $8.00, how much should a pizza with an 11 inch radius cost? Round to the nearest hundredth.
Answer:
Step-by-step explanation:
14.7$
P - 4 = -3 + p + 6 - 7
Answer:
if solving for p there is no values of p that makes the equation true
Step-by-step explanation:
Cell d4 contains a ten-digit phone number with hyphens after the third and sixth digits. Which function will remove the hyphen after the sixth digit?
To remove the hyphen after the sixth digit in a ten-digit phone number in cell D4, you can use the SUBSTITUTE function in Excel. The SUBSTITUTE function allows you to replace specific characters in a text string with new characters.
To remove the hyphen after the sixth digit in a ten-digit phone number, you can use the SUBSTITUTE function in Excel. The SUBSTITUTE function takes four arguments: the original text, the text you want to replace, the replacement text, and an optional argument for the occurrence number.
In this case, assuming the ten-digit phone number is in cell D4, you can use the following formula:
=SUBSTITUTE(D4, "-", "", 2)
The first argument, D4, represents the original text in cell D4. The second argument, "-", represents the hyphen you want to replace. The third argument, "", is an empty string, which means the hyphen will be replaced with nothing. The fourth argument, 2, specifies that you want to replace the second occurrence of the hyphen.
By using this formula, the hyphen after the sixth digit in the phone number will be removed, and you will obtain the desired result.
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Sales tax is a function of the price of an item. the amount of sales tax is 0.08 times the price of the item. use h to represent the function. a. h (x) = 0.08 h b. x (h) = 0.08 h c. h (x) = 0.08 x d. x (h) = 0.08 x
The correct representation of the function is h(x) = 0.08x
What is function?
In mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y.
Solution:
Given data:
Sales tax is a function of the price of an item.
Let h be the function.
Take x be the price of an item.
Amount of sales tax = 0.08 times price of the item
= 0.08 × x
Amount of sales tax = 0.08x
⇒ h(x) = 0.08x
Hence the function is h(x) = 0.08x.
Option C is the correct answer.
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What values are distributed along the x-axis for a sampling distribution of the sample mean?
The sample means are distributed along the x-axis for a sampling distribution of a sample mean.
What is a sample mean?A sample mean is an average of a set of data, that can be used to calculate the central tendency, standard deviation and the variance of a data set.
Now,
In a two-dimensional graph, (with two axes), generally the independent variable is plotted on the x-axis and the dependent variable is plotted on the y-axis. Here, in sample mean, the average set of data is distributed on the x-axis as it is the independent value for a sampling distribution.To learn more about sample mean, refer to the link:https://brainly.com/question/12892403
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what is 713.49 written in standard form
Answer:
71359/100
Step-by-step explanation:
Have a good day