Answer:Let the age of son be x.
Thus, age of father is 4x.
After 5 years, their ages will be x+5 and 4x+5 years respectively.
As per the question, we have
4x+5=3(x+5)
⇒4x+5=3x+15
⇒x=10
Age of father will be 4x=4×10=40 years.
Thus when son is 10 years old, father is 40 years.
Step-by-step explanation:
After 3 years father's age will be five times that of his son. Father age will be 40 years and son age will be 8 years .
Given,
Present age of father = 37 years.
Present age of son = 5 years.
Now,
Let the number of years be x after which the fathers age will be 5 times the age of his son.
So,
Ages after 3 years ,
Age of father = 40 years
Age of son = 8 years.
Thus age of father is 5 times the age of son.
Therefore after 3 years father's age will be five times that of his son.
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Use properties to rewrite the given equation. Which equations have the same solution as 2.3p – 10.1 = 6.5p – 4 – 0.01p? Select two options. 2.3p – 10.1 = 6.4p – 4 2.3p – 10.1 = 6.49p – 4 230p – 1010 = 650p – 400 – p 23p – 101 = 65p – 40 – p 2.3p – 14.1 = 6.4p – 4
If there is inverse variation and y = 3 when x = 24 , find x when y = 18 .
The value of x in the inverse variation is x = 4
Inverse variationInverse variation is express mathematically by; y = k/x
where, y and x = variables
k = constant of variation
We solve for 'x' in the variation using standard form for inverse variation:
y = k/x
Given; y = 3, x = 24
We now use the given information to find k.
Step 1: Substitute the given in to equation y= k/x; to
3 =k/24
Cross multiply
k = 3 * 24
k = 72
Step 2; The inverse relation for is y = 72/x since we have gotten k=72
For y = 18, we get
18 = 72/x
Cross multiply
18x = 72
x = 72/18
X=4
Therefore, the value of x = 4.
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New york city will pay two men $36 million for their wrongful conviction in the 1965 assassination of civil rights activist. ?.
New York City will indeed pay two men $36 million for their wrongful conviction in the 1965 assassination of a civil rights activist.
How is the chronology so that New York City pays for the incident of wrongful conviction of two people for the alleged murder of a civil rights leader?
After carrying out further investigations into the lawsuits against 2 people, in particular Muhammad A. Aziz and Khalil Islam who were accused of the murder of the leader of civil rights activist, Malcolm X, it was found that the two defendants were victims of wrongful conviction. It was previously stated that the police appeared to be withholding evidence to weaken the charges leading to acquittal. However, in the end, the court gave an acquittal because it was known that Muhammad Aziz and Khalil Islam had been proven innocent. As a form of accountability, New York City is willing to pay 26 million dollars to the victims and an additional 10 million dollars from New York state.
In conclusion, the amount of money paid by New York City is a form of responsibility that has been approved for the wrongful conviction of Muhammad Aziz and Khalil Islam.
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researchers are investigating whether people who exercise with a training partner have a greater increase, on average, in targeted exercise intensity compared with people who exercise alone. two methods of collecting data have been proposed. method i: recruit volunteers who are willing to participate. randomly assign each participant to exercise with a training partner or to exercise alone. method ii: select a random sample of people from all the people who exercise at a community fitness center. ask each person in the sample whether they use a training partner, and use the response to create the two groups. (a) for each method, the researchers will record the change in targeted exercise intensity for each person in the investigation. they will compare the mean change in intensity between those who exercise with a training partner and those who do not. (i) describe the population of generalization if method i is used. explain your answer. (ii) describe the population of generalization if method ii is used. explain your answer.
Random sampling: It is a type of probability sampling in which the researcher randomly selects a subset of participates from the population.
Biased Sample: Sampling bias is a bias in which a sample is collected in such a way that some members of the intended population have a lower and higher sampling probability than other.
The population generalized in this case, is almost random, the only problem here is that people that want to participate will participate so is likely that the sample is not totally randomized and that there is huge number of people that regularly exercises.
b) This case is less random than the previous , here all the people in the sample regularly do exercise and these people can choose is they prefer to work with a partner or not. So the sample is biased.
In method 01 we can conclude that the result apply to the whole population , whole in method 02 we can't conclude that just because the sample is biased.
Method 01: - Recruit volunteers who are willing to participate. Randomly assign each participate to exercise with a training partner or exercise alone.
So there are people who wants to participate but people don't necessarily do exercise normally day to day life. People also can't choose to work out in a team or alone.
Method 02: Select a random sample of people from all the people who exercise at a community fitness center. ask each person in the sample whether they use a training partner, and use the response to create the two groups.
The members in the sample are people who exercises regularly and we ask them if they work alone or with a partner then, we create two groups. so this is more biased sample.
The population generalization, in this case, is almost random, the only problem here is that only people that want to participate will participate , so is likely that the sample is not totally randomized and that there is a larger number of people that regularly does exercise tan people that do not do exercise.This case is less than random than the previous here all the people in the sample regularly do exercise and these people can choose if they prefer to work with a partner or not. So the sample is biased.Learn more about Sample:
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Solve:
18+ (6 - 2) × 2 =
Answer:
26
Step-by-step explanation:
18 + (6 - 2) x 2
18 + (4) x 2
18 + 8
= 26
Which equation represents a line that has a slope of One-third and passes through point (–2, 1)?
y = one-third x minus 1
y = one-third x + five-thirds
y = one-third x minus five-thirds
The equation of the line with a slope of one third and passes through (-2, 1) is y = one-third x + five-thirds.
How to find the equation of a line?The equation of a line can be represented in a slope intercept form as follows:
y = mx + b
where
m = slopeb = y-interceptTherefore, the equation of the line has a slope of 1 / 3. Let's find the y-intercept using the coordinates (-2, 1)
y = 1 / 3 x + b
1 = 1 / 3 (-2) + b
1 + 2 / 3 = b
b = 3 + 2 / 3
b = 5 / 3
Therefore, the equation is y = 1 / 3 x + 5 / 3
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When jamel went to the store, he spent $7 on 2. 5 pounds of hamburger meat. What are two different ways to express the rate in this situation?.
These are two ways to indicate how quickly this issue is evolving.
Given;
Jamel bought 2.5 pounds of hamburger meat at the shop for $7. What are the two possible methods to state the rate in this case?
Since he buys 2.5-pound hamburger meat on 7$;
The two ways to explain the rate of this situation is
(I) the amount of meat per $ is 2.5/7 = 5/14
(II) the cost of meat is 7/2.5 = 14/5 = 2.8 /pound
a) The maximum amount of hamburger meat that can be purchased by spending 1 dollar pounds of hamburger meat can be purchased by spending 1 dollar
b) The maximum cost of 1 pound of hamburger meat dollar Thus, 1 pound of hamburger meat costs 2.8 dollars
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WHOEVER ANSWERS GETS 100 POINTS ASND BRAINLIEST ANSWER PLEASE HELP
GIVEN THE FOLLOWING SITUATION, ANSWER THE QUESTIONS:
The size of shoe a person needs varies linearly with the length of his or her foot. The smallest adult shoe size is Size 5, and fits a 9-inch long foot. An 11-inch long foot takes a Size 11 shoe.
1. Name TWO POINTS on the line that expresses shoe size in terms of foot length:
2. Find the slope of the line that expresses shoe size in terms of foot length.
3. Write the particular equation expressing shoe size in terms of foot length in slope-intercept form.
4. If your foot is a foot long what size shoe do you need?
5. Bob Lanier, who once played basketball for the Detroit Pistons, wears a Size 22 shoe. How long is his foot? Include units!!
6. If plotted the graph of the adult shoe size versus foot length, what would the leftmost point be, based on the information given in bold print above? (the story problem before number 1)
7. If manufacturer decided to begin offering adult shoes in smaller sizes, how long would the foot of a person be who wore size 0? Include units!!
PLEASE HELP
Answer:
The slope is 1/3, calculate the rest from there
Step-by-step explanation:
We can picture this as a graph with the x value being the shoe size and the y being the length of a foot in inches. If we visualize it that way, we have two points on the graph: (5,9) and (11,11). From this, we can calculate the slope. The formula for slope is change in y value/change in x value, or rise/run. The slope in this case would be 2/6, simplified to 1/3. From this, we know that every time the X value increases by 1, the Y value increases by 3. Using this, you can find the two points on the line yourself. The equation formula for slope is y = mx + b. M is the slope, and Y is the y intercept (the value of Y when X = 0). Since the slope is 1/3, the equation is y = 1/3x+(y intercept). I am not going to fully solve this problem for you because I have a feeling you need this answer for a test of sorts (because of the level of urgency) but with this information you can probably solve this yourself! Good luck :)
Can someone please help me!? I have the file for the question right under.
The diagram which represents Mason's ratio of made throws and missed throws in the story is option A.
The total number of free throws attempted by Mason If Mason made 20 free throws is 28 free throwsThe diagram which represents Jennifer's ratio of bracelet made with neon and bracelet made with pastel in the story is option BThe number of bracelet Jennifer made with pastel if she made 16 bracelet with neon is 12.The following are answers to like terms collected respectively
9d17r + 35r + 4The following expressions are equivalent
3 + 4 = 2 + 54(2 + x) = 8 + 4xHow to use tape diagram to represent ratio?Throws Mason made = 5Throws Mason missed = 2If Mason made 20 free throws
Number of throws Mason missed = xEquate missed throws ratio made throws
2 : 5 = x : 20
2/5 = x/20
cross product
2 × 20 = 5 × x
40 = 5x
divide both sides by 5
x = 40/5
x = 8
Total free throws Mason attempted = Number of throws Mason missed + Number of throws Mason made
= 8 + 20
= 28 free throws
Number of friendship bracelet made with neon = 4Number of friendship bracelet made with pastel = 3If Jennifer made 16 bracelet with neon
Number of bracelet made with pastel = xEquate neon made bracelet ratio pastel made bracelet
4 : 3 = 16 : x
4/3 = 16/x
cross product
4 × x = 3 × 16
4x = 48
divide both sides by 4
x = 48/4
x = 12
Combine the like terms
4d + 5d
= 9d
8r + 6 + 9r - 3
= 8r + 9r + 6 - 3
= 17r + 3
6r - r + 4
= 5r + 4
Determine if the following expressions are equivalent
3 + 4 = 2 + 5
7 = 7
4(2 + x) = 8 + 4x
8 + 4x = 8 + 4x
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PLEASE HELP I NEED A AWNSER FAST
Answer: -4
Step-by-step explanation:
when people smoke, the nicotine they absorb is converted to cotinine, which can be measured. a sample of 40 smokers has a mean cotinine level of 172.5 with a standard deviation is known to be 119.5, find a 90% confidence interval estimate of the mean cotinine level of all smokers.
The 90% confidence interval estimate of the mean cotinine level of all smokers is 141.4211 < μ < 203.5789
Given,
Number of smokers; Sample size, n = 40
Mean of the sample, μ = 172.5
Standard deviation, σ = 119.5
We have to find the 90% confidence interval estimate of the mean cotinine level of all smokers.
Here,
The confidence interval is given as;-
x − E < μ < x + E
E is the margin of error.
Margin of error,
E = zα/₂ σ/√n
E = 1.644854 119.5/√40
E = 31.07887
Then,
The confidence interval is;
x − E < μ < x + E
141.4211 < μ < 203.5789
That is,
The 90% confidence interval estimate of the mean cotinine level of all smokers is 141.4211 < μ < 203.5789
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how do I round 9.4725 to the nearest cent with no dollar sign
Answer:
9.47
Rounded to the nearest 0.01 or
the Hundredths Place.
Explanation
9.4725
You rounded to the nearest hundredths place. The 7 in the hundredths place rounds down to 7, or stays the same, because the digit to the right in the thousandths place is 2.
9.47
When the digit to the right is less than 5 we round toward 0.
9.4725 was rounded down toward zero to 9.47
Hope this helps!
Write the equation of the line in slope intercept form and given the slope and y-intercept.
1) slope = 3/4 and (0, 4). 2) slope = -1 and (0, -2)
Please,help. Been stuck for two days
The equation of each line in slope-intercept form are:
1. y = 3/4x + 4.
2. y = -x - 2
What is the Equation of a Line in Slope-intercept Form?To express the equation of a line in slope-intercept form, y = mx + b, substitute the value of the slope (m) and the value of the y-intercept (b) into the equation.
1. Slope (m) = 3/4
y-intercept (b) = 4
Substitute m = 3/4 and b = 4 into the equation y = mx + b:
y = 3/4x + 4.
2. Slope (m) = -1
y-intercept (b) = -2
Substitute m = -1 and b = -2 into the equation y = mx + b:
y = -x - 2
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PLEASE HELP ME! I know this is alot to ask but I need someone to complete this study guide for me it's late so I need it asap. if you could answer with a typed pdf that would be the best. I WILL MARK BRAINLIEST! I NEED SOMEONE PLEASE IM BEGGING YOU PLEASE I WOULD GIVE YOU MONEY IF I COULD I WOULD GIVE YOU 10000000000 POINTS I SWEAR TO GOD I NEED HELP AND I HAVE OTHER STUFF DUE AND I WON'T BE ABLE TO GET IT ALL DONE. I FINISHED THE ASSIGNMENT BUT I LOST IT PLEASE HELP ME! I REALLY DID IT AND I SWEAR I WILL FAIL THIS CLASS IF I DON'T HAVE IT SOON ANYTHING HELPS IF YOU ONLY ANSWER LIKE 5 QUESTIONS I DON'T CARE JUST HELP! PLEASE PLEASE
2.Under feudalism, landowners were granted plots of land (called fiefs) by nobles in exchange for their loyalty and military service. The landowner, or vassal, was required to provide the lord with soldiers when needed and give him a portion of the land's produce. In return, the lord provided the vassal with protection from invaders.
Manorialism (how did it work)
Manorialism was an economic system that developed in medieval Europe. It was based on the control of land and the produce of that land by a lord. The lord would grant land to peasants in exchange for their labor and a portion of the produce. This system allowed for the development of large estates and the growth of a class of landowners.
Justinian ( identify and achivements)
Justinian was the Byzantine emperor from 527 to 565. During his reign, Justinian sought to revive the empire's greatness and reconquer the lost western half of the historical Roman Empire.
One of Justinian's most famous achievements was the construction of the Hagia Sophia, which was completed in 537. The Hagia Sophia is a former Greek Orthodox cathedral that was turned into a mosque after the Ottoman conquest of Constantinople in 1453. It is now a museum in Istanbul, Turkey.
Another of Justinian's accomplishments was the compilation of the Justinian Code, a collection of laws that codified Roman law and is still used as a reference today. The Justinian Code was instrumental in the development of modern legal systems.
vassal
The social position and duties of a vassal during the Middle Ages was to provide military service to their lord in exchange for land that they could then cultivate. Vassals were also required to attend their lord's court and give him counsel
Knights
Serve as a military support system for the king
. Helped keep the peace within the kingdom
. Provided protection for the king and queen
. Guarded the king's castle
serf
The serfs were the lowest class of society in medieval Europe and were bound to the land that they worked on. They were required to work for their lord for a certain number of days each week and were given a plot of land to farm for themselves. They were also required to pay taxes and fees to their lord.
what is 13x − 19y = –14 in slope intercept form
Answer:
Step-by-step explanation:
-19y=-13x -14 to y=-13/-19 - -14/-19
The two-way frequency table contains data about students’ preferred exercise.
What is the joint relative frequency of students who do not like to run and enjoy swimming?
A) 23%
B) 37%
C) 46%
D) 72%
it's 23% because 46 (ppl who do not like running but like swimming) divided by 200 (the total for everything) is 0.23 which is 23%
please help ASAP! no BS!
Answer:
[tex]y=-\frac{1}{3}x +4[/tex]
Step-by-step explanation:
slope= 1-7/9- -9= -1/3
y-intercept: 7 = -1/3(-9)+b, b=4
determine the sampling error if the grade point averages for 10 randomly selected students from a class of 125 students has a mean of
Answer:
Step-by-step explanation:
x=2.3
here's another question
Question 7 of 15 Garth sells baseball caps outside the stadium. The graph shows the number of caps sold and the income from the sales. It represents a linear function. Income (dollars) 250 225 200 175 150 125 100 75 50 25 Income from Cap Sales (3, 22.5) (5, 37.5) 1 2 3 4 5 6 7 8 9 10 Number of caps sold
Answer:
He gets $7.50 per cap
Step-by-step explanation:
I took the test
Answer:
$17.50
Step-by-step explanation:
I need to find tan (theta) for angle theta , the angle between the x-axis and the line that connects the origin to point (3,2)
Answer:
tan(θ) = 2/3
Step-by-step explanation:
You want the tangent of the angle θ between the x-axis and the line connecting the origin to point (3, 2).
TangentThe tangent ratio is given by ...
Tan = Opposite/Adjacent
In the attachment, you can see that the side opposite the angle of interest is the y-coordinate of the point. The side adjacent is the x-coordinate. That means ...
tan(θ) = y/x
tan(θ) = 2/3
__
Additional comment
In general, the tangent of the angle a line makes with the x-axis is the slope of the line. Your line has slope 2/3, and that is the tangent of the angle it makes with the x-axis.
please help !!!!!!!!!
Answer: Real and Rational
Step-by-step explanation:
2/3 is a fraction. ALL numbers are are considered real numbers. Rational numbers are typically fractions and decimals.
Please help. Look at photo
The inequality that can be used to find the number of gigabytes used is 52.50+5g<75 and the value of g should be less than 4.5.
According to the question,
We have the following information:
Gabriel pays a flat cost of $52.50 per month and $5 per gigabyte. He wants to keep his bill under $75.
Now, the number of gigabytes used are represented by g.
So, we will have the following inequality:
52.50+5g<75
Now, we will solve this inequality.
Subtracting 52.50 from both the side:
5g<75-52.50
5g<22.5
Dividing by 5 on both the sides:
g<22.5/5
g<4.5
Hence, the inequality that can be used to find the number of gigabytes used is 52.50+5g<75 and the value of g should be less than 4.5.
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I need help please!!
PLEASE HELP THIS IS SO HARD!
IT'S ABOUT ANGLES!
The measure of angle ABD is 118 degree.
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
WE have been given that the angles are;
(3x +10)° and 2x
WE need to solve the value of x then we use the linear pair;
(3x +10)° + 2x = 180
Solving;
(3x +10)° + 2x = 180
5x + 10 = 180
5x = 180 - 10
5x = 170
x = 36
Angle ABD = (3x +10)° = 3(36) + 10
= 108 + 10
= 118
Hence, the measure of angle ABD is 118 degree.
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Lines a and b are parallel and lines e and f are parallel
If m1 = 89°, what is m5?
Answer:
m∠5 = 91° (sorry if i got it wrong i tried my best)
is 1.12 a terminating decimal? Or as a fraction, is 1 3/25 a terminating decimal?
Linear Equations Word Problems
Sasha spent half of her allowance going to the movies. She washed the family car and earned $6. What is her weekly allowance if she ended with $15?
Answer:
Her weekly allowance is $18
Step-by-step explanation:
We can use an algebraic equation to solve this problem.
x/2 + 6 = 15
x/2 + 6 ( - 6) = 15 ( - 6)
x/2 ( · 2)= 9 ( · 2)
x = 18
Her weekly allowance is $18
Which relation represents a function?
The relation that is a function is (d) the graph
How to determine the relation that is a function?The list of options represents the given parameter
As a general rule;
For a relation to be considered a function, the following must be true:
One x value must not point to several y values
Using the above as a guide, the ordered pair in (a), relation in (b) and table in (c) are not functions
This is because one x value must not point to several y values
However, there are unique values in the graph of (d)
Hence, (d) the graph is a function
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Can anyone help me with the answer for number 5 & 6 I really need my math homework done , it will be graded. Thank you.
Answer:
5. 1/2 & 3 , 6. 2 & 5
Step-by-step explanation:
5.
slope = 2
m = y2 - y1 / x2 - x1
m = 13-3/5-0
m = 10/5 or 2
y-intercept = 3
(0,3)
6.
slope = 1/2
m = y2 - y1 / x2 - x1
m = 6-5/2-0
m = 1/2
y-intercept = 5
(0,5)