In this question, we are given the information about total number of people but in word equation.
We are given that, 799 more from 8 thousand attend the festival.
When we are given more, we add the number to the number from which it is more.
Here, we will add 799 to 8,000 in order to calculate total number of people who attended the festival
Thus, total number of people who attended the festival = 8,000 people + 799 people = 8,799 people.
Drew purchased 3 books each with a different price for $24 the cost of each book was a multiple of 4 what could be the prices of the 3 books
Drew could have purchased 3 books at prices of $4, $8, and $12, or at prices of $8 each.
Explanation:The question states that Drew purchased 3 books, each with a different price, for a total of $24. The cost of each book is a multiple of 4. To find the possible prices of the 3 books, we need to find 3 multiples of 4 that add up to $24.
Let's start by listing the multiples of 4: 4, 8, 12, 16, 20, 24,...
We can see that the possible prices of the 3 books could be $4, $8, and $12. Another possibility is $8, $8, and $8. There may be other combinations as well, but these are the two most likely options.
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an equilateral triangle has height 26 cm what is the length of each side of the triangle to the nearest centimeter
The length of each side of the equilateral triangle is approximately 52 cm.
Explanation:An equilateral triangle has all sides equal in length. To find the length of each side, we can use the property that an equilateral triangle's height is equal to half the length of one of its sides.
Since the height is given as 26 cm, we can set up the equation:
26 cm = (side length)/2
Multiplying both sides by 2, we get:
52 cm = side length
Therefore, the length of each side of the equilateral triangle is approximately 52 cm.
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Brian makes 8% commission on sales. Weekly says total 4580, what is his Commission
To find Brian's commission, multiply his weekly sales of $4,580 by his commission rate of 8%. His commission for the week would be $366.40.
Explanation:To calculate Brian's commission, we need to apply the commission rate to his total weekly sales. Since his commission rate is 8%, we can calculate the commission by multiplying his total sales (
$4,580) by 0.08.
The calculation would be as follows:
Commission = Total Sales x Commission Rate
Commission = $4,580 x 0.08
Commission = $366.40
Therefore, Brian will earn a commission of $366.40 on his weekly sales.
Using distributive law find the square of 101 and 72
To find the square of 101, we can use the distributive law as follows: 101^2 = (100 + 1)^2 = 10000 + 200 + 1 = 10201. Similarly, to find the square of 72: 72^2 = (70 + 2)^2 = 4900 + 280 + 4 = 5184.
Explanation:The use of the distributive law allows us to expand expressions by multiplying each term inside the parentheses by the term outside the parentheses. To find the square of 101, we can use the distributive law as follows:
101^2 = (100 + 1)^2 = 100^2 + 2(100)(1) + 1^2 = 10000 + 200 + 1 = 10201
Similarly, to find the square of 72:
72^2 = (70 + 2)^2 = 70^2 + 2(70)(2) + 2^2 = 4900 + 280 + 4 = 5184
Math please help ( ASAP vv easy )
a. the answer is the first one
One angle of a triangle measures 120°. The other two angles are in a ratio of 5:7. What are the measures of those two angles
Find the sum of the absolute deviations of the following data set.
8, 5, 15, 12, 10
Choices:
50
10
12.5
14
To find the sum of the absolute deviations, calculate the average of the data set and then subtract it from each value, taking the absolute value. Finally, sum up all the absolute deviations.
Explanation:To find the sum of the absolute deviations, we first need to find the average of the data set. The average is calculated by adding up all the numbers and then dividing by the total number of values. So, the average of the data set 8, 5, 15, 12, 10 is (8 + 5 + 15 + 12 + 10) / 5 = 50 / 5 = 10.
Next, we calculate the absolute deviation for each number by subtracting the average from each value and taking the absolute value. The absolute deviations for the given data set are: |8 - 10| = 2, |5 - 10| = 5, |15 - 10| = 5, |12 - 10| = 2, |10 - 10| = 0.
Finally, we sum up all the absolute deviations: 2 + 5 + 5 + 2 + 0 = 14. Therefore, the sum of the absolute deviations is 14. So the correct choice is 14.
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The sum of the absolute deviations of the dataset 8, 5, 15, 12, 10 is calculated by finding the mean of the dataset, calculating the absolute difference of each data point from the mean, and summing up these absolute values. The result is 14.
Explanation:The sum of the absolute deviations of a dataset is determined by first finding the mean of the dataset, and then finding the absolute difference of each data point from the mean. The sum of these absolute values is the sum of absolute deviations.
Here is how to do this with your dataset: 8, 5, 15, 12, 10.
Calculate the mean (average) of the dataset: [tex](8+5+15+12+10)/5 = 10[/tex]Find the absolute difference of each data point from the mean: [tex]|8-10|, |5-10|, |15-10|, |12-10|, |10-10|[/tex], which are 2, 5, 5, 2, and 0 respectively.Sum up these absolute values: [tex]2 + 5 + 5 + 2 + 0 = 14[/tex]So, the sum of the absolute deviations of your dataset is 14.
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how do you solve: x^2-7x+10=28
Claire’s mother is 4 years more than twice Claire’s age. The sum of their ages is 58 years.
Two ships leave port at 10 A.M. One travels at a bearing of 50° at 25 mph, and the other travels at a bearing of 120° at 20 mph. How far apart are the ships at noon? Round your answer to the nearest tenth.
Asta needs a spanner for a 5-8 inch nut on her camping stove.
The shop sells 12mm spanners, 14mm spanners and 16mm spanners.
Asta knows that 1 inch = 2.54cm
What is the best size spanner for asta to buy?
After conversion, a 5-8 inch nut would require a spanner size between 127mm to 203.2mm. Unfortunately, the available spanner sizes (12mm, 14mm, 16mm) are all too small.
Explanation:To find out which spanner Asta needs, we first need to convert the inch measurements to millimeters (mm), as the spanners are sold in mm. Asta's nut size is 5-8 inches. She knows one inch equals 2.54cm. To convert these to mm, we multiply the values by 10 as 1cm is equal to 10mm. So, 5 inches equals 127mm and 8 inches equals 203.2mm. Given the available sizes of spanners (12mm, 14mm, and 16mm), none of these would fit her nut, as they are all far too small.
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All front and backyards in Alan's neighborhood are equal in size. Alan can mow his front and back lawns combined in about 45 minutes. If he is to mow both his front and backyard, along with the neighbor's front yard, how long will it take Alan?
Answer: 67.5 minutes
Step-by-step explanation:
Since the front and backyard are the same size, then Alan will take the same time mowing them. So, if he takes 45 minutes mowing both of them, that means that he took half the time mowing the front and the other half mowing the backyard.
[tex]\frac{45}{2} =22.5[/tex]
The neighbor's front yard is the same size as well, so it will take him the same time.
[tex]45+22.5=67.5[/tex]
Then, the total time that Alan takes mowing the three yards is 67.5 minutes.
PLEASE HELP !Barry has an ice tray that makes ice cubes shaped like a cone with a diameter of 2 cm and height of 2 cm. To the nearest cubic centimeter, what is the volume of an ice cube from Barry's tray? 2 cm³ 8 cm³ 25 cm³ 101 cm³
For every four female students in a training class, there are two men. What is the ratio of female to male students ?
Find the value of x
PLEASE HELP!!!! A right rectangular prism has a length of 6 centimeters, a width of 2 centimeters, and a height of 5 centimeters. What is the surface area of the prism? Enter your answer in the box. cm^2
which choice is the graph of a line that is perpendicular to the line represented by the equation y = -2x + 7
(PLEASE HELP!!!) Ian tosses four fair coins and writes down all the possible outcomes. After creating the sample space for his experiment, he decides to find the probabilities of different events. Arrange the events in order of their probability from least to greatest.
Answer:
the person bove me is right
Step-by-step explanation:
find the greatest common factor of the following monomials 44b^2 36b
A 155 pound person burns about 500 calories per hour playing racquetball. one pound id equal to 3500.
Q- If the person were to rest 5 minutes for every 30 minutes of playing, how long would it take to burn 1 pound?
Answer:
[tex]8\frac{1}{6}[/tex] hours or 8 hours and 10 minutes.
Step-by-step explanation:
We have been given that a 155 pound person burns about 500 calories per hour playing racquetball. One pound is equal to 3500 calories.
Since the person burns 500 calories per hour, so time taken to burn 3500 calories would be:
[tex]\frac{3500\text{ cal}}{\frac{\text{500 cal}}{\text{Hour}}}[/tex]
[tex]\frac{3500\text{ cal}}{500}\times\frac{\text{Hour}}{\text{Cal}}=7\text{ Hour}[/tex]
Now, we will convert 7 hours to minutes.
1 hour equals 60 minutes.
7 hours = 7*60 minutes =420 minutes.
Since the person take a rest of 5 minutes for every 30 minutes of playing, so we will divide 420 by 30 to find the number of times the person rested to burn 3500 calories.
[tex]\frac{420}{30}=14[/tex]
Now, we will multiply 14 by 5 minutes to find minutes the person rested.
[tex]14\times 5\text{ minutes}=70\text{ minutes}[/tex]
Total number of minutes to burn 3500 calories: [tex]420\text{ minutes}+70\text{ minutes}=490\text{ minutes}[/tex]
[tex]\frac{490}{60}=\frac{49}{6}=8\frac{1}{6}[/tex]
Therefore, it will take 8 hours and 10 minutes to burn 1 pound.
If i share £40 in the ratio 1 4
Daniel surveyed a random sample of 100 students from his middle school to learn more about what type of school lunches are preferred. The table below shows the result of the survey: Hamburgers Spaghetti Pizza Sample #1 13 43 44 Sample #2 20 41 39 Which of the following inferences can be made based on the data?
Pizza is the most preferred lunch.
Spaghetti and pizza are preferred almost equally.
Hamburgers are two times more popular than pizza.
Hamburgers are two times more popular than spaghetti.
Answer:
Spaghetti and Pizza are preferred almost equally.
Step-by-step explanation:
Daniel surveyed a random sample of 100 students from his middle school to learn more about what type of school lunches are preferred based on his observation the table of the following is given as:
Hamburgers Spaghetti Pizza
Sample 1: 13 43 44
-----------------------------------------------------------------------
Sample 2: 20 41 39
-------------------------------------------------------------------------
Total: 33 84 83
By looking at the table we see that the total number of spaghetti and Pizza chosen are almost equal as:
Total number of Spaghetti preferred=84.
and Total number of Pizza preferred=83.
Answer:
d
Step-by-step explanation:
How many whole sandwiches can be made with 2 pounds of cheese if each sandwich has 3 ounces of cheese on it?
Allie sold oatmeal cookies at a stand for two days. She made 35.20 on the first day. She used 1/4 of this money to buy more supplies for the next day. How much money did Allie use to buy more supplies for the next day
I THINK IT"S "C"
Solve the following system of equations: 3x − 2y = 6 6x − 4y = 14
(0, 0)
(6, 14)
Infinitely many solutions
No solutions
The base of the rectangular pyramid shown above has one side that measures 5 inches, one side that measures 12 inches, and diagonals that measure 13 inches. The height of the rectangular pyramid is 9 inches.
If the rectangular pyramid shown above is sliced by a plane that is parallel to the two longer sides of the base and also passes through the top vertex, what is the area of the cross-section of the pyramid?
A.108 square inches
B. 22.5 square inches
C. 54 square inches
D. 58.5 square inches
The cross-section of the rectangular pyramid, obtained by slicing it parallel to the longer sides of the base and through the top vertex, forms a 9-12-15 right triangle. The area of the cross-section is 54 square inches (Option C).
The rectangular pyramid has a base with sides of 5 inches and 12 inches, and diagonals measuring 13 inches. The height of the pyramid is 9 inches.
The cross-section obtained by slicing the pyramid parallel to the longer sides of the base and passing through the top vertex will form a right triangle with legs of 9 inches and 12 inches, and a hypotenuse of 13 inches (as given by the diagonals).
This right triangle is a 3-4-5 right triangle scaled up by a factor of 3, making it a 9-12-15 right triangle. The area of a right triangle is given by [tex]\(\frac{1}{2} \times \text{base} \times \text{height}\).[/tex]
So, the area of the cross-section is [tex]\(\frac{1}{2} \times 12 \times 9 = 54\)[/tex] square inches.
Therefore, the correct answer is (C) 54 square inches.
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How do you write mixed numbers or fractions as decimals?
chris made 4 times as many putts as paul made at golf practice. together they made 60 putts. which equation below canbe used to find the number of putts paul made?
A. 5p=60
B. 4p=60
C. 4+p=60
D. 4p=60+p
Points Possible: 1, Points Correct: 0 ∠A and ∠B are supplementary. If m∠A = 83° , what is the measure of ∠B?
97? not an option. Maby 98
#16, can someone please explain it ASAP?