Answer:
1 7/24
Step-by-step explanation:
3 2
3
–
2 3
8
= (3 – 2) + (
2
3
–
3
8
)
= 1 +
2 × 8
3 × 8
–
3 × 3
8 × 3
= 1 +
16
24
–
9
24
= 1 +
16 – 9
24
= 1 +
7
24
=
1 7
24
Points A, B, and C are collinear. Point B is between A and C. Find the length indicated.
Answer:
BC = 12
Step-by-step explanation:
23 - (2 + 9)
23 - 11 = 12
BC = 12
Find the solutions to the given system of equations: x^2+ y^2= 5 and y=3x + 1
78 = n + 68 need help
Answer:
n=10
Step-by-step explanation:
Subtract 68 from both sides.
78−68=n
Simplify 78-68 to 10
10=n
Switch sides.
ANDDDDD BOOM the answer is
n=10
PLEASE HELP ILL GIVE YOU EXTRA POINTS AND MARK YOU AS SOMETHING!!
A big school bus was 2/7 full when it left Area A. When it arrived at Area B, 9 children alighted the bus and there were 31 children on the bus after that. How many children can fit into the big school bus?
The total capacity of the big school bus is 140 children.
To find out how many children can fit into the big school bus, let's work through the given information step by step.
When the bus left Area A, it was 2/7 full. This means that 2/7 of the bus's capacity was occupied by children. Let's represent the total capacity of the bus as 'x'. Therefore, 2/7 of 'x' corresponds to the number of children on the bus when it left Area A.
After the bus arrived at Area B, 9 children alighted, which means the number of children decreased by 9. We are then told that there were 31 children remaining on the bus. So, the number of children on the bus before any alighted was 31 + 9 = 40.
Since 2/7 of the bus's capacity was occupied by children when it left Area A, we can set up the following equation:
(2/7) * x = 40
To solve for 'x', we can multiply both sides of the equation by (7/2):
x = 40 * (7/2)
x = 140
Therefore, the total capacity of the big school bus is 140 children.
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Order least to greatest: 1.5, 1.1, .9, 1, 1.7, 1.25
Answer:
1,1.1,1.25,1.5,1.7,9
.2. Determine whether the feasible set for each of the following systems of constraints is convex, and if not, indicate points x^1 and x² that violate definition. a) (x1)² + (x2)² > 9
x1 + x2 ,10
x1, x2 > 0
The feasible set for this system of constraints is not convex, and the points (5, 5) and (3, 7) violate the convexity definition.
To determine whether the feasible set for each system of constraints is convex, we need to analyze the constraints individually and examine their intersection.
a) (x1)² + (x2)² > 9
This constraint represents points outside the circle with a radius of √9 = 3. The feasible set includes all points outside this circle.
b) x1 + x2 ≤ 10
This constraint represents points that lie on or below the line x1 + x2 = 10. The feasible set includes all points on or below this line.
c) x1, x2 > 0
This constraint represents points in the positive quadrant, where both x1 and x2 are greater than zero.
Now, let's analyze the intersection of these constraints:
Considering the first two constraints (a and b), we can see that the feasible set consists of all points outside the circle (constraint a) and below or on the line x1 + x2 = 10 (constraint b).
To determine whether the feasible set is convex, we need to check if any two points within the set create a line segment that lies entirely within the set.
If we consider the points (5, 5) and (3, 7), both points satisfy the individual constraints (a) and (b). However, the line segment connecting these two points, which is the line segment between (5, 5) and (3, 7), exits the feasible set since it passes through the circle (constraint a) and above the line x1 + x2 = 10 (constraint b).
Therefore, the feasible set for this system of constraints is not convex, and the points (5, 5) and (3, 7) violate the convexity definition.
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What is the exchange rate? Show your work.
1 US dollar = _________ euro.
The exchange rate is 1 USD = 0.992714 EURO
What is Conversion of unit?The same attribute is expressed using a unit conversion, but in a different unit of measurement. For instance, time can be expressed in minutes rather than hours, and distance can be expressed in kilometres, feet, or any other measurement unit instead of miles.
We need to convert between units in order to ensure accuracy and prevent measurement misinterpretation. For example, we do not measure a pencil's length in kilometres. In this situation, one must convert from kilometres (km) to centimetres (cm) (cm).
Given:
1 US dollar = _________ euro.
As, the exchange rate between US dollar to Euros
1 USD = 0.992714 EURO
1 USD = 1 EURO
So, if we have to find 5 US dollar into EURO then
5 US dollar = 5.02 EURO = 5 EURO
Hence, the exchange rate is 1 USD = 0.992714 EURO
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Please give coordinates :)
The coordinates of solution of the system of equation which is obtained by plotting the equation on the graph is (-2,2).
What is a system of equation?A system of equation is the set of equation in which the finite set of equation is present for which the common solution is sought.
The first equation given in the problem is,
\(x+y=0\)
Rearrange it,
\(y=-x\) .....1
The second equation given as,
\(-3x+4y=14\)
Rearrange it,
\(-3x+4y=14\\4y=14+3x\\y=\dfrac{14+3x}{4}\) .....2
Plot the graph of both the line as shown below in the attached image. In this equation the solution is the point of intersection which is (-2,2).
Thus, the coordinates of solution of the system of equation which is obtained by plotting the equation on the graph is (-2,2).
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A survey question asked of unmarried men was, "What is the most important feature you consider when deciding to date somebody?". The results were found to depend on whether the interviewer was male or female. This is an example of
This is an example of interviewer bias where the gender of the interviewer may have impacted the replies of the unmarried males in the poll.
This is an example of interviewer bias, where the gender of the interviewer may have influenced the responses of the unmarried men in the survey. The results may not accurately reflect the true opinions of the participants as their answers could have been affected by their desire to impress or please the interviewer.
This situation is an example of response bias, specifically interviewer bias, which occurs when the respondent's answer is influenced by the gender or characteristics of the interviewer, rather than their true preferences or opinions.
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Sarah works part-time after school and weekends. she earns $120 /week. her expenses are as follows. complete the table
Sarah earns $120 per week from her part-time job. To complete the table, we need to list her expenses. Sarah's expenses may vary, but here are some common examples she might have:
1. Transportation: Sarah may spend money on bus fare or gas if she drives. This expense depends on her mode of transportation and how far she travels.
2. Food: Sarah needs to eat, so she may spend money on groceries or meals outside. The amount spent on food will depend on her eating habits and whether she eats out frequently or cooks at home.
3. Utilities: Sarah may have to pay for utilities like electricity, water, and internet. The cost of utilities can vary depending on the region and the size of her living space.
4. Rent/ Mortgage: If Sarah lives independently or contributes to household expenses, she may have to pay rent or contribute to a mortgage payment.
5. Entertainment: Sarah may have expenses related to leisure activities such as going to the movies, concerts, or other entertainment events.
These are just a few examples, and Sarah's actual expenses may differ. It's important for her to track her spending to understand where her money goes. By doing so, she can budget effectively and make informed financial decisions.
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what's the difference between whole numbers and integers
Answer:
Whole numbers cannot include negative numbers. Integers are whole number and they can have negative whole numbers.
Step-by-step explanation:
please look at the screenshot it has my question.
Answer:
6.25 mins (6 minutes 15 seconds)
Step-by-step explanation:
96 tests = 2mins
300 tests = x mins
X = 2/96 x 300
X = 6.25 mins
what is the equstion of s line with a y-intercept of -5 and a slope of 8
Answer:
y = 8x - 5
Step-by-step explanation:
Given:
Slope: 8Y-intercept: -5To find:
Equation.How to find:
The slope is always known as "constant of variation" or "rate of change", but it's basically the increase of both y and x axes in simple terms. The decrease or increase in two points together and then found with the formula of rise/run (increase and decrease) (horizontal line/vertical line).
The y-intercept is always on the y-axis and is the beginning of what is learned in pre-algebra as a "story" which helps students practice finding the slope which again, is the change with "per" or "each".
Make sure to use the formula:
y = mx + b
Now we insert.
y = 8x <---------- slope
y = 8x - 5 <------ y-intercept and completed slope-intercept equation.
The reason it has a negative is because it started out as a negative y-intercept and is increasing by 8 through ordered pairs.
Answer:
y = 8x - 5
Step-by-step explanation:
because if its has a slope of 8 then m is 8
if the y intercept is -5 the b is -5
y = mx + b
y = 8x -5
The table below shows the amount of money needed to buy certain amounts of fabric. If the price is the same for each yard, how much money would 12 yards of fabric cost?
Correct answer will get brainliest
The equation is y = (5/3)x. Then the cost of the 12 yards of fabric will be $20. Then the correct option is B.
What is the equation of a line passing through two points?Let the equation of the line pass through (x₁, y₁) and (x₂, y₂).
Then the equation of the line is given as,
\(\rm (y - y_2) = \left (\dfrac{y_2 - y_1}{x_2 - x_1} \right ) (x - x_2)\)
The two points are (3, 5) and (6, 10).
Let 'x' be the number of yards of fabric and 'y' be the cost in dollars. Then the equation is given as,
(y - 5) = [(10 - 5) / (6 - 3)](x - 3)
y - 5= (5/3)x - 5
y = (5/3)x
The cost of the 12 yards of fabric is given as,
y = (5/3) × 12
y = 5 × 4
y = $20
The equation is y = (5/3)x. Then the cost of the 12 yards of fabric will be $20. Then the correct option is B.
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take a file name to read input data from keybaord (do not hardcode into it into your program
the user instead of hardcoding it into your program. This can be done by using the input function to prompt the user to enter the file name.
For example, you can use the following code:
```
filename = input("Enter the file name: ")
```
This will allow the user to enter the name of the file they want to read input data from.
The input function in Python allows you to prompt the user to enter a value. In this case, we are prompting the user to enter the name of the file they want to read input data from. Once the user enters the file name, it is stored in the variable 'filename'. This variable can then be used to read data from the specified file. By taking the file name as input from the user, you make your program more flexible and allow it to work with different input files without having to modify the code each time.
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An automobile tire at 30.0°c has a pressure of 3.00 atm. the temperature decreases to -5.00°c. assume that there is no volume change in the tire. formula to use: p1 t1 = p2 t2 how does the tire pressure change in response to the temperature change?
The process is an isochoric process. Then the tire pressure change in response to the change in temperature is 2.65 atm.
What is thermodynamics?It is a branch of science that deals with heat and work transfer.
An automobile tire at 30.0°C has a pressure of 3.00 atm.
The temperature decreases to -5.00°C.
Assume that there is no volume change in the tire.
Then for the constant volume process, we have
\(\dfrac{P_1}{P_2} = \dfrac{T_1}{T_2}\\\\\dfrac{3}{P_2} = \dfrac{303}{268}\\\\P_2 \ = 3\times \dfrac{268}{303}\\\\P_2 \ = 2.65\)
The tire pressure change in response to the change in temperature is 2.65 atm.
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Answer:
How does the tire pressure change in response to the temperature change?
✔ decreases
What is the new pressure of the tire after the temperature change?
2.65 ✔ atm
Step-by-step explanation:
Got it right on edge
When a chocolate bar is cut in half its density is: a) doubled b) unchanged c) halved
The correct answer is b) unchanged. Cutting a chocolate bar in half does not affect its density.
When a chocolate bar is cut in half, its density remains unchanged. Density is a physical property of a substance that is determined by its mass per unit volume. When the chocolate bar is cut in half, the mass is also divided into two equal parts, resulting in a reduction of the volume by half as well. Since both the numerator and denominator in the density formula change proportionally, the density remains the same.
For example, if the density of a chocolate bar is 1 gram per cubic centimeter, cutting it in half would result in two smaller bars, each with half the volume and half the mass. The density of each of the new bars would still be 1 gram per cubic centimeter, even though they are smaller in size.
Therefore, the correct answer is b) unchanged. Cutting a chocolate bar in half does not affect its density.
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Determine the sum of the following series.
∑n=1 to [infinity] (3^n-1) / (8^n)
Given:
An= (6n) / (4n+3)
For both of the following answer blanks, decide whether the given sequence or series is convergent or divergent. If convergent, enter the limit (for a sequence) or the sum (for a series). If divergent, enter INF if it diverges to infinity, MINF if it diverges to minus infinity, or DIV otherwise.
The sum of the series is 1/2. The sequence An= (6n) / (4n+3) converges to 3/2.
The first series can be written as:
∑n=1 to [infinity] (3^n-1) / (8^n) = ∑n=1 to [infinity] [(3/8)^n - (1/8)^n]
We can simplify the series as:
∑n=1 to [infinity] (3^n-1) / (8^n) = [(3/8)^1 - (1/8)^1] + [(3/8)^2 - (1/8)^2] + [(3/8)^3 - (1/8)^3] + ...
= (3/8 - 1/8) + (9/64 - 1/64) + (27/512 - 1/512) + ...
= 2/8 + 8/64 + 26/512 + ...
=(1/4) + (1/8) + (1/32) + ...
This is a geometric series with first term a = 1/4 and common ratio r = 1/2. Since the absolute value of r is less than 1, the series converges. The sum of the series is:
sum = a / (1 - r) = (1/4) / (1 - 1/2) = (1/4) / (1/2) = 1/2
For the second sequence:
The sequence is given by An = (6n) / (4n+3).
Taking the limit as n approaches infinity, we have:
lim n→∞ An = lim n→∞ (6n) / (4n+3) = lim n→∞ (6/4 + 9/(4n+3))
As n approaches infinity, the second term goes to zero, and we are left with:
lim n→∞ An = 3/2
Thus, the sequence converges to 3/2.
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1. a certain college wants to estimate the amount of time students, who live off campus, spend commuting to classes each week. a random sample of 45 off-campus students is surveyed. a) identify the population and sample for this study. b) what data is being collected? what type of data is this? c) what type of study is this?
The objective of this research is to collect data on a specific component of the off-campus student population.The amount of time they spend travelling to courses each week.
a) The population for this study is all off-campus students at this college, and the sample is a random sample of 45 off-campus students who are polled. The sample is chosen at random to be representative of the entire population.
b) The data being gathered is the amount of time the surveyed students spend each week travelling to school. Because it reflects a numerical measurement, this is quantitative data. This information will be used to calculate the average commuting time for off-campus students and to identify any possible concerns or areas for improvement in commuting.
c) This is a descriptive research, since it seeks to characterise and summarise the features of the off-campus student population in terms of commuting time. The study's purpose is to better understand off-campus students' commuting patterns and gather ideas into how to enhance their commuting experience.
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someone help me for this algebra task please
James has 14{,}500\text { g}14,500 g14, comma, 500, start text, space, g, end text of sand in his sandbox. he brings home another 7{,}400\text { g}7,400 g7, comma, 400, start text, space, g, end text of sand from the beach to add to his sandbox. how many kilograms of sand does james have in his sandbox now?
James has a total of 21.9 kilograms of sand in his sandbox after adding the sand from the beach. To find the total weight of sand in James' sandbox, we need to convert the given weights from grams to kilograms.
James initially has 14,500 g of sand. To convert this to kilograms, we divide by 1000:
14,500 g ÷ 1000 = 14.5 kg
Next, James brings home an additional 7,400 g of sand from the beach. To convert this to kilograms, we divide by 1000:
7,400 g ÷ 1000 = 7.4 kg
To find the total weight of sand in James' sandbox, we add the initial amount of sand to the amount he brought from the beach:
14.5 kg + 7.4 kg = 21.9 kg
Therefore, James now has 21.9 kilograms of sand in his sandbox.
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For a ride on a rental scooter, Dante paid a $2 fee to start the scooter plus 12 cents per minute of the ride. The total bill for Dante's ride was 16,28. For how many minutes did Dante ride the scooter?
Answer:
119 minutes
Step-by-step explanation:
First let's get rid of the starting fee of $2
\(16.28 - 2 = 14.28\)
Then divide 14.28 by 0.12 ($14.28 ÷ $0.12)
\(14.28\) ÷ \(0.12 = 119\)
Thus Dante rode the scooter for 119 minutes
The number of minutes that Dante rode the scooter will be 119 minutes.
What is a linear equation?A relationship between two or more parameters that, when shown on a graph, produces a linear model. The degree of the variable will be one.
The linear equation is given as,
y = mx + c
Where m is the slope of the line and c is the y-intercept of the line.
For a ride on a rental scooter, Dante paid a $2 fee to start the scooter plus 12 cents per minute of the ride.
Let x be the number of minutes and y be the total amount.
y = 0.12x + 2
The total bill for Dante's ride was $16.28. Then the number of minutes that Dante rode the scooter will be
16.28 = 0.12x + 2
14.28 = 0.12x
x = 119 minutes
The number of minutes that Dante rode the scooter will be 119 minutes.
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how long does it take for the average adult to metabolize four 12-ounce beers? 5 hours 4 hours 3 hours 2 hours
It takes approximately 3 hours for an average adult to metabolize four 12-ounce beers.
The alcohol has a half-life of about 3 hours. This means that for every three hours that pass, the amount of alcohol in your body decreases by half. Alcohol is metabolized primarily in the liver.
Here, enzymes break down the ethanol molecule and turn it into a less toxic chemical called Acetaldehyde. Acetaldehyde is then further broken down by the enzyme aldehyde dehydrogenase into Acetic acid. Acetic acid is then further broken down into water and Carbon dioxide and eventually eliminated from the body.
So, for an average adult, it takes approximately 3 hours to metabolize four 12-ounce beers. The rate of metabolism can be affected by a number of factors such as age, gender, body composition, and the rate at which the alcohol was consumed.
Additionally, factors such as weight, body fat percentage, and the amount of food in the stomach can also influence the rate of alcohol metabolism. It is important to note that even after the alcohol is metabolized, it can still remain in the system and affect cognitive and motor skills.
Therefore, it is important to give the body enough time to metabolize the alcohol before attempting to drive or operate any type of machinery.
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Joey is paid a base fee of $6 per shift, and $6.50/h. how much will he make in 10 hours?
Answer:
ehh?!
Step-by-step explanation:
Answer:
(6.50x10)+6=71
Step-by-step explanation:
Its not a quiz/test its homework thats due in a bit :)
Just to clear any misunderstandings that might arise
Answer:
MN = 25
Step-by-step explanation:
If LN=45, then the addition of both quantities will be 45.
LN = 3x + 2 + x + 19
3x + 2 + x + 19 = 45
4x + 21 = 45
4x = 45 - 21 = 24
x = 6
Now that we found the value of "x", we can find the lenght of MN
MN = x + 19
MN = 6 + 19
MN = 25
Hope it was helpful ;)
Answer: MN = 25
Step-by-step explanation:
Since the length is already given we just add the equations equal to it.
45 = 3x + 2 + x + 19 Combine like terms
45 = 4x + 21 Subtract 21 from both sides
24 = 4x Divide by 4
x = 6
Now we plug x into the equation needed.
X + 19
6 + 19 = 25
Write in figures;Nine million twenty thousand four hundred and six and twenty seven thousandths.
Answer:
9,020,406.27
Step-by-step explanation:
Answer:
9,020,406.27
Step-by-step explanation:
in the sketch below, the coordinates of the vertices of triangle ABC are A(2:1), B(-2:-3) and C(-4:3) with D(-1: 2) on AC and E(-3;0) on BC. C4.3) 0-1:2 E 3.0) 1-2-3 1.1 Calculate the gradients of AB and DE. 1.2 What can you deduce about lines AB and DE? Give a reason for your answer.
Answer:
1.1 gradients of both AB and DE are 1
1.2 the lines are parallel
Step-by-step explanation:
1.1You can see from the graph, that both segment AB and segment DE have a rise of 1 unit for each run of one unit. The slope is the ratio of rise to run, so is 1/1 = 1.
The slope of each segment is 1.
__
1.2Lines with the same slope are parallel.
Lines AB and DE are parallel.
If you take a number, times by 3 then add 5. You get the same as if you took the number, times by 7 then subtract 8. What is the number?
Answer: x = 13/4
Step-by-step explanation:
Easy, let's use x to define the number:
3x + 5 = 7x - 8
We take the 3x to the other side:
5 = 4x - 8
We take the 8 to the other side:
13 = 4x
x = 13/4
the population of Landon woods was 82,500 in 2000 in 2010 the population was 89,100 which is the percent of change in the population
Answer:
sorry I couldn't help but I'm not really sure about this I have done this but I actually did have to ask brainly if you choose a subject if you can go to the top right corner and hit mathematics you will automatically get to answer to it but you can't just ask it to community tab because we don't know