Two consecutive positive integers that sum to 71, a simple equation can be used leading to the solution that the integers are 35 and 36.
Tasked with finding two consecutive positive integers whose sum is 71. To solve this, let's represent the smaller integer as n, which means the next consecutive integer is n+1. According to the riddle, the sum of these two integers is 71:
n + (n + 1) = 71
Solving this equation:
2n + 1 = 71
2n = 71 - 1
2n = 70
n = 35
The smaller integer is 35, and the next consecutive integer is 36. Therefore, the two consecutive positive integers are 35 and 36.
Which set of side lengths can be used to form a right triangle?
A: 14,48,50
B: 10,24,28
C: 30,40,60
D: 14,50,60
A jet flies at an altitude of 52, 800 feet what is the height of the jet in miles
The jet flies at an altitude of 10 miles, which is the result of dividing the given altitude of 52,800 feet by the number of feet in a mile (5,280).
To find the height of the jet in miles, we need to convert the altitude from feet to miles. There are 5,280 feet in a mile. So we will divide the jet's altitude in feet by the number of feet in a mile to get the altitude in miles.
Altitude in miles = Altitude in feet \/ Number of feet in a mile
Altitude in miles = 52,800 feet \/ 5,280 feet per mile
Altitude in miles = 10 miles
Therefore, the jet flies at an altitude of 10 miles.
Write a real-world problem to represent 7x-18 < 32
the width of a singles tennis court is 75% of the width of a doubles Court a doubles court is 36 feet wide how wide is a singles Court
The width of a singles tennis court, which is 75% of a doubles court, is calculated to be 27 feet by multiplying the doubles court's width (36 feet) by 0.75.
To find the width of a singles tennis court when given that it is 75% of the width of a doubles court, which is 36 feet wide, we multiply the width of the doubles court by 0.75 (75%). Here is the calculation:
Width of doubles court = 36 feet
Width of singles court = 36 feet × 0.75
Width of singles court = 27 feet
Therefore, the width of a singles tennis court is 27 feet.
shelby needs to water each of her 3 plants woth 200 milliliters of water. How many milliliters of water does she need?
A certain shade of green paint is made from 5 parts yellow mixed with 3 parts of blue. If 2 cans of yellow are used, how many cans of blue should be used?
how to creat an array with 141 divided by 3
Simplify:
3(3t – 2) – 2(t + 1)
If max eats 15 cookies in 2 hours and 30 minutes how many cookies would she eat in 4 hours
A dime weighs about 1/12 ounce jody has 1 pound of dimes (16 ounces) about how many dimes does jody have
Jody has approximately 192 dimes in 1 pound, calculated by first determining that 1 ounce equates to 12 dimes and then multiplying by the total ounces in a pound.
To determine how many dimes Jody has in 1 pound (16 ounces), we'll use the given information that a dime weighs about 1/12 ounce. First, we find the total number of dimes in one ounce:
1 ounce / (1/12 ounce per dime) = 12 dimes.Now, since there are 16 ounces in a pound, we multiply the number of dimes in one ounce by the total ounces:
12 dimes per ounce * 16 ounces = 192 dimes.Therefore, Jody has approximately 192 dimes in 1 pound.
What is the unit rate 360 miles traveled on 12 gallons of gasoline
We are required to find the unit rate in miles per gallons of gasoline.
The unit rate 360 miles traveled on 12 gallons of gasoline is 30 miles per gallon
Units rate refers to the single unit of one quantity to another. for example; unit of miles to gasolineTotal miles travelled = 360 miles
Total gallons used = 12 gallons
Unit rate in miles per gasoline = Total miles travelled / Total gallons used
= 360 miles / 12 gallons
= 30 miles / 1 gallon
Unit rate in miles per gasoline = 30 miles per gallon
Therefore, the unit rate 360 miles traveled on 12 gallons of gasoline is 30 miles per gallon
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I'll need help with case 5
Which figure is not a polygon? A. Figure A B. Figure B C. Figure C D. Figure D
A polygon is a closed figure with straight line segments that do not cross over each other. Without seeing the actual figures it's impossible to decide, but if any figure has curved lines, is not closed, or has segments that cross, it would not be a polygon.
Explanation:To determine which figure is not a polygon, we first need to understand what a polygon is. A polygon is a closed figure with a finite number of straight line segments that are connected end to end to form a single shape. The segments should not cross over each other, and the figure must entirely enclose a space.
With this definition, we can examine the provided figures. If any of the figures have curved lines, open sides, or line segments that cross each other, then that figure would not be considered a polygon. Unfortunately, without the visual references of Figures A, B, C, and D, it is impossible to definitively answer which figure is not a polygon. If any figure has one of the aforementioned characteristics, then it would be the correct answer.
For example, if Figure B has curved edges, or if Figure C is not closed, then they would not be polygons. Similarly, if Figure D is a soccer ball with pentagons and hexagons, those shapes are polygons, but if the soccer ball itself is rendered as a three-dimensional spherical object in Figure D, it would not be a polygon.
Fourteen percent of the town's population are above the age of 65. if there are 320 residents over the age of 65,approximately what is the town's population?
the perimeter of the top of a desk is 54 inches if the length of the desk is 15 inches what is the width of the desk
Marty has 6 more pigs than Jen has.After he gives 10 pigs to Jen,how many more pigs will Jen have than Marty?
To find out how many more pigs Jen will have than Marty after Marty gives her 10 pigs, subtract the number of pigs Marty has after giving away 10 from the number of pigs Jen has.
Explanation:To find out how many more pigs Jen will have than Marty after he gives her 10 pigs, we need to determine the initial number of pigs each of them has. Let's assume Jen has x pigs. Since Marty has 6 more pigs, he has x + 6 pigs. After giving 10 pigs to Jen, Marty will have x + 6 - 10 = x - 4 pigs, and Jen will have x + 10 pigs. Therefore, Jen will have (x + 10) - (x - 4) = x + 10 - x + 4 = 14 more pigs than Marty.
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There are 40 nickels in every standard coin roll, what is the constant of proportionality
what does 693 / 74 equal
A construction company bought 9 tons of gravel and 0.8 tons of sand.hoq many tons of material did the comapany but in all
An furniture salesperson sells a couch for $1,560. She receives a 2.75% commission on the sale of the couch. How much did she earn on the sale? Round your answer to the nearest cent.
Please Help!!!
A collector has 180 movie posters and 100 band posters. She wants to sell 36 movie posters but still have her poster collection maintain the same ratio of 180:100. If she sells 36 movie posters, how many band posters should she sell? Explain?
math a scientist uses a submarine to study ocean life she begins at sea keve which is and elevation of 0 ft she travels straight down for 80 seconds at my a speed of 4.0 ft per second she travles directly up for 20 seconds at a speed if 3.4 ft per second write an integer that represent a the submarines location after 100 seconds period plz answer before 8pm
How do you write 3.25 in simplest form
The points in the table lie on a line. Find the slope of the line.
Answer: [tex]\dfrac{2}{5}[/tex]
Step-by-step explanation:
We know that the slope of a line is given by :-
[tex]\text{Slope}=\dfrac{\text{Change in y}}{\text{Change in x}}[/tex]
From the given table , we have
[tex]\text{Slope}=\dfrac{2-0}{\text{2-(-3)}}\\\\\Rightarrow\ \text{Slope}=\dfrac{2}{2+3}\\\\\Rightarrow\ \text{Slope}=\dfrac{2}{5}[/tex]
Therefore, the slope of the line= [tex]\dfrac{2}{5}[/tex]
What is 5 wholes plus 8/6 or 1 2/6
ok sorry for the other picture for my question here is a better one best answer 7,8,9 and 10 . THxxxxxx!!!!
Twenty-four students brought their permission slips to attend the class field trip to the local art museum. If this represented eight tenths of the class, how many students are in the class? Use a bar diagram to solve arithmetically. Then use an equation to solve algebraically.
An onion farmer is hiring workers to help harvest the onions. He knows that the number of days it will take to harvest the onions is a function of the number of workers he hires. Explain the use of the word "function" in this context.
Answer: The word "function" is used to describe that the number of days is dependent on the number of workers.
Number of days = f(number of workers).
Step-by-step explanation:
We know that the more the number of workers will be involved in the harvesting of onion, the lesser days it will take to complete.
Thus, the number of workers becomes the independent variable, which is the input, and the number of days becomes the dependent variable, which is the output.
Note: I have copied this off from a good lad that goes by "fahimmohammad47", but this answer is from a different source. I did change some stuff to make it have more sense.
How can i tell if it's discrete or continuous?
Discrete variables are counted and only take on certain numerical values, while continuous variables are measured and their probability is calculated over a range of values. The difference between them is reflected in their probability distributions: discrete variables create a probability distribution function (PDF), continuous variables form a probability density function (pdf).
Explanation:Discrete and continuous variables are defined based on how they are measured. Discrete variables are counted, represented by certain numerical values. For instance, the number of books in a backpack or the number of miles you drive to work could be discrete variables.
Continuous variables, on the other hand, are measured. Examples include the distance you drive to work or the weight of a book. A characteristic of continuous variables is that the probability of the variable taking on a single, specific value is zero (P(x = c) = 0), therefore probability is calculated over a range of values.
The distinction between discrete and continuous variables is often highlighted by their probability distribution. Discrete variables create a probability distribution function (PDF), such as counts of chosen values for x. Continuous variables form a probability density function (pdf), which is represented as a curve in the graph, with total probability under the curve equaling 1.
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what two square roots are used to estimate the square root of 67
The root of 64 and 81