At present, Tyrone is 48 years old and his daughter is 24 years old.
Let's start by using variables to represent the ages of Tyrone and his daughter.
Let T be Tyrone's current age and D be his daughter's current age.
We know that Tyrone is twice as old as his daughter, so we can write:
T = 2D
We also know that in 6 years, Tyrone's age will be three times what his daughter's age was six years ago. Six years ago, Tyrone's age was T - 6 and his daughter's age was D - 6. So we can write:
T + 6 = 3(D - 6)
Now we have two equations with two variables, so we can solve for T and D.
First, substitute T = 2D from the first equation into the second equation:
2D + 6 = 3(D - 6)
Simplifying this equation, we get:
2D + 6 = 3D - 18
Add 18 to both sides:
2D + 24 = 3D
Subtract 2D from both sides:
24 = D
So Tyrone's daughter is 24 years old now.
We can use the first equation to find Tyrone's age:
T = 2D = 2(24) = 48
Therefore, Tyrone is 48 years old now.
So at present, Tyrone is 48 years old and his daughter is 24 years old.
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Tyrone is twice as old as his daughter. in 6 years Tyrone's age will be three times what his daughters age was six years ago. how old will they be at present?
Temperature is an example of a variable that uses (select one):
1. the ordinal scale
2. the interval scale
3. either ordinal or ratio scale
4. the ratio scale
Temperature is a variable that uses (2) the scale interval and, according to physical theory, represents in the numerical form how hot or cold something is.
What is Temperature?The physical concept of temperature indicates in numerical form how hot or cold something is.
A thermometer is used to determine temperature.
One variable that makes use of the scale interval is temperature.
Thermometers are calibrated using a variety of temperature scales, which historically defined distinct reference points and thermometric substances.
The most popular scales are the Celsius scale, sometimes known as centigrade, with the unit symbol °C, the Fahrenheit scale (°F), and the Kelvin scale (K), with the latter being mostly used for scientific purposes.
One of the seven base units in the International System of Units is the kelvin (SI). The lowest point on the thermodynamic temperature scale is absolute zero, or zero Kelvin, or 273.15 °C.
Therefore, the temperature is a variable that uses (2) the scale interval and, according to physical theory, represents in the numerical form how hot or cold something is.
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Provide the vertical movement for the
following absolute value function:
-4x + 5|- 3
Hint: -|x - h| + V
Move 3 units [?].
down
up
W
The vertical movement for the absolute value function in this problem is given as follows:
Move 3 units down.
What is the absolute value function?The absolute value function of vertex at coordinates (h,k) is defined as follows:
y = a|x - h| + k.
For the parent absolute value function, the y-coordinate of the vertex is given as follows:
y = 0.
For the absolute value function -4|x + 5| - 3, the y-coordinate of the vertex is given as follows:
y = -3.
Hence the subtraction by 3 means that there was a movement of 3 units down.
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what is a linear system with fewer equations than unknowns?
Infinitely many solutions exist for a system with fewer equations than unknowns, yet there may be none. An underdetermined system is one that operates in this manner.
What in mathematics is a linear system?
A collection of one or more linear equations involving the same variables is known as a system of linear equations (or linear system) in mathematics.
Equations with unknowns or variables that have powers of one are known as linear equations. Because the variables x, y, and z are linear, for instance, 3x - 4y + 5z = 3 is a linear equation, however xy + 3z = 7 is not because the phrase xy is a product of two variables.
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Simplify the expression:
[tex]\frac{\frac{1}{a} +\frac{2}{b} }{\frac{2}{a}+ \frac{1}{b} }[/tex]
The simplified form of the given expression is 2a+b/2b+a.
What is an expression?An expression is a combination of terms that are combined by using mathematical operations such as subtraction, addition, multiplication, and division.
The given expression is [tex]\frac{\frac{1}{a}+ \frac{2}{b} }{\frac{2}{a}+ \frac{1}{b} }[/tex].
The expression can be simplified as follows
[tex]\frac{\frac{b+2a}{ab} }{\frac{2b+a}{ab} }[/tex]
= 2a+b/2b+a
Therefore, the simplified form of the given expression is 2a+b/2b+a.
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Two joggers, one averaging 5 mph and one averaging 4 mph, start from a designated initial point. The slower jogger arrives at the end of the run 35 minutes after the other jogger. Find the distance of the run.
The distance of the run is 11.67 miles.
What is Speed?Speed is the unit rate in terms of distance travelled by an object and the time taken to travel the distance.
Speed is a scalar quantity as it only has magnitude and no direction.
Given that,
Speed of first jogger = 5 mph
Speed of second jogger = 4 mph
Let d be the distance in miles of the run.
Time taken by first jogger be t hours.
Time taken by second jogger = t + (35 minutes) = t + (7/12) hours
Speed = Distance / Time
5 = d / t and 4 = d / (t + 7/12)
d = 5t and d = 4 (t + 7/12)
5t = 4 (t + 7/12)
5t = 4t + 7/3
t = 7/3 hours
d = 5t = 11.67 miles.
Hence the distance ran by both joggers is 11.67 miles.
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Upon graduation, Natalie had five job offers. The annual salaries for four of the jobs were: $36,000, $45,000, $28,000, and $32,000. The average of the five annual salaries was $38,000. What was the fifth annual salary?
Answer:
The fifth salary = $49,000
Step-by-step explanation:
Let x be the fifth salary
Total salary = $36,000, + $45,000 + $28,000 + $32,000 + x
= $141,000 + x
The average of 5 salaries is $38,000
Total = Average x number of elements
= 38000 x 5 = 190,000
Equating the two totals
141,000 + x = 190,000
Subtract 141, 000 from both sides
x = 190,000 - 141, 000
x = $49,000
So the fifth salary = $49,000
6739 divided by 6 in long division
Answer:
1123
Step-by-step explanation:
I did 6739 / 9 = 1123.
A store’s dressing room has a limit of 10 garments per customer. If Carol has at least 3 garments below the limit, how many garments does she have in her dressing room?
Carol has at least 7 garments in the dressing room.
How to find the number of garments in her dressing roomInformation given in the problem is
A store’s dressing room has a limit of 10 garments per customer
If Carol has at least 3 garments below the limit
the limit is 10 garments, this is the maximum number of clothes and Carol has 3 garments below the limit
we can conclude that Carol has at least
= 10 - 3
= 7
Carol has 7 garments in the dressing room.
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a worker has asked her supervisor for a letter of recommendation for a new job. she estimates that there is an 85 percent chance that she will get the job if she receives a strong recommendation, a 50 percent chance if she receives a moderately good recommendation, and a 10 percent chance if she receives a weak recommendation. she further estimates that the probabilities that the recommendation will be strong, moderate, and weak are 0.6, 0.3, and 0.1, respectively. a. how certain is she that she will receive the new job offer? b. given that she does receive the offer, how likely should she feel that she received a strong recommendation? (
Disregarding intermediate, let's assume she has access to a letter that can be powerful or weak. Let's say she receives a persuasive letter. If she receives a strong letter, her chance of being hired is then increased.
P(J|S)
If, however, she receives a subpar letter, Considering since she received a subpar cover letter, her chances of landing the job are slim.
P(J|W)
Let's assume that we have some knowledge of such two numbers. I believe
In addition, we recognize how likely it is that she will receive either one or both letters: P(J|S)=0.8 P(J|W)=0.1
Note that P(S)+P(W)=1 since there are only two possibilities: P(S)=0.7 and P(W)=0.3.
P(J)=P(J|S) P(S)+P(J|W) P(W)
This is a representation of two distinct directions that could be taken. In one, we receive a compelling letter and ponder if she'll be hired in light of that compelling letter. As a result of the weak letter from the other, we are unsure if she will be hired. We give the pathway carrying the formal letter a higher weight because there is a substantially larger chance of receiving it compared to a weak letter.
The law of probability value is used in this situation.
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Select the best Measures of Center for the data set: 3, -26, -1, -5, 4, 1, 3
The best Measures of Center for the data set: 3, -26, -1, -5, 4, 1, 3 is median
How to determine the best measureFrom the question, we have the following parameters that can be used in our computation:
3, -26, -1, -5, 4, 1, 3
In the above dataset, the observation -26 is an outlier
This is so because -26 is relatively far from other observations
When a dataset has an outlier, the best measure of center to use is the median
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you are dealt seven cards from a well-shuffled, standard deck of playing cards. what is the probability that you get exactly two hearts?
The probability of getting exactly two hearts from a well-shuffled standard deck of playing cards can be calculated as follows:Since there are 13 hearts in a standard deck of playing cards, the probability of getting a heart in one draw is 13/52
A heart card is one of the four suits in a standard deck of playing cards. The standard deck of playing cards has 52 cards, including 13 cards in each of the four suits: clubs, diamonds, spades, and hearts. The hearts suit is usually represented by a red heart symbol. Each suit has cards numbered from Ace to King.A standard deck of playing cards is a deck of playing cards that consists of 52 cards, including four suits: spades, hearts, diamonds, and clubs. Each suit contains 13 cards: Ace, 2, 3, 4, 5, 6, 7, 8, 9, 10, Jack, Queen, and King. The cards in a standard deck are usually used for playing a variety of card games, such as poker, solitaire, bridge, blackjack, and many others. The standard deck of playing cards has been used for centuries and is still widely used for both casual and professional gaming.
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whats fractio equivlet to 18.75%
Answer:
18 3/4
Step-by-step explanation:
Answer:
18 3/4 or 75/4
Step-by-step explanation:
when purchasing a vechicle, which of the following would initially offer the lowest monthly payment
special apr financing
ballon payment plan
cash back offer
regular apr financing
The special apr financing would initially offer the lowest monthly payment. The correct answer is the first option.
The special apr financingThe monthly payment offered by "special APR financing" is likely to be the lowest among the options given. The "special APR financing" generally refers to a promotional interest rate offered by the dealership or the manufacturer, which can result in lower monthly payments. However, the total cost of the vehicle over the life of the loan could be higher compared to the other options.
It's always best to consider the total cost of the vehicle and compare the options based on the interest rate, loan term, down payment, and any additional fees before making a final decision.
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Fill in the missing number. % of 98 = 49
50%
since 98/2 = 49
Thats it
Suzanne has a 12 inch board for construction and a wooden chair. The directions say to use a board that is 29 cm long is your board long enough to cut?
Yes 12 inches converted to centimeters is around 30 cm
100 points!!!!!
A population of 50 foxes in a wildlife preserve quadriples in size every 11 years. the function y=50x4^x where x is the number of 11-years, models the population growth. models the population growth. How many foxes will there be after 22 years?
After 22 years there will be _____ (type whole number)
Answer:
To find the number of foxes after 22 years, we need to substitute x = 22/11 into the equation:
y = 50 * 4^(22/11)
Using a calculator or approximation, this expression evaluates to approximately 68,719.
So, after 22 years there will be approximately 68,719 foxes.
Step-by-step explanation:
don’t understand please help
a 5-card poker hand is dealt at random from a standard 52-card deck. what is the total number of possible hands?
By using the formula for permutation, we can find that there are 2,598,960 possible combinations of 5 cards that can be dealt from a standard deck of 52 cards.
Poker is a popular card game that is played with a standard deck of 52 cards.
A permutation is the arrangement of objects in a specific order. In this case, the objects are the 52 cards in a standard deck, and the order is the 5 cards that are dealt to each player.
To find the number of possible 5-card hands, we can use the formula for permutation:
P(52, 5) = 52! / (52 - 5)!
Where "52!" is the factorial of 52, meaning the product of all positive integers from 1 to 52.
52! / (52 - 5)! = 806,368,039,360 / 47! = 2598960
The final answer is that there are 2,598,960 possible 5-card hands that can be dealt from a standard deck of 52 cards.
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the standard deviation is used in conjunction with the
When describing bell-shaped distributions statistically, the standard deviation is utilised along with the mean.
What does the mean actually measure?
While the standard deviation gauges the distribution's spread, the mean gauges the distribution's centre.
What is the purpose of standard deviation?
For the aim of quantifying dispersion, or the variation that takes place in the values of a data set that is taken into consideration, the standard deviation is used. The data points are said to be close to the mean when the standard deviation number is reduced. The opposite will occur when it is higher. In this way, it gauges how widely apart data points are from the mean.
Anything's predicted value is sometimes referred to as a mean. It is the object that serves as the focal point for all data points. The standard deviation determines how widely apart all the data points are from the mean, whereas the mean is the centre of the distribution.
What is the name of standard deviation?
Because it is the square root of the means of the squared errors from the arithmetic average, standard deviation is often referred to as root-mean square deviation. Standard deviation is a word used in economics to indicate how risky an investment is.
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I need answer ASAP the question is in the picture
Answer:
A. yes they both have the same solutions.
B. below...
Step-by-step explanation:
PLEASE HELP TIMED
What is the solution of x+4/2x-1 < 0
Answer:
x<2
Step-by-step explanation:
this is correct answer
the answer is 1.6x ............
Answer: ok njnnnnnnnnnnnnnnnnnnnnnnnn
Gavin’s gross pay is $3851. his deductions total $756.72. what percent of his gross pay is take-home pay? responses 20% 20% 24% 24% 80% 80% 82%
Answer:
80%
Step-by-step explanation:
Gross Pay = $3851
Deductions = $756.72
Take-home Pay = $3851 - $756.72 = $3,094.28
Ratio of take-home pay to gross pay = 3,094.28/3851 = 0.8035
As a percentage = 0.8035 x 100 = 80.35%
or approximately 80% to match the answer choice
which method is better for developing conceptual understanding? in an experiment, 109 university students all watched the same lecture. half were randomly assigned to take notes on a laptop while the remaining students took notes by hand. before taking a test to measure conceptual understanding of the lecture, researchers assigned half of each group to review their notes while the other half weren't given an opportunity to review.
The students who took notes by hand understood better than those who took lecture notes on laptop.
When students take notes by hand, during writing the notes they understand the concept, and their brains will store the information and they can memorize it easily. This is the best method for conceptual understanding and it will improve the analytical thinking and problem-solving skills of the student.
Instead of adopting the more conventional approach of concentrating on learning on topics, conceptual learning includes students engaging in high-quality learning experiences built around important concepts and essential ideas. Conceptual is a term used to describe ideas and mental constructs.
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For the diagram below, which equation is the correct use of the distance formula?
Help please guys....
The equation that portrays the correct use of the distance formula is 6.71 = √( ( 11 - 5 )² + ( y₂ - 6 )² )
Which equation is the correct use of the distance formula?The distance formula used in finding the distance between two points is expressed as;
D = √( ( x₂ - x₁ )² + ( y₂ - y₁ )² )
From the diagram;
Point A (5,6)
x₁ = 5y₁ = 6Point B (11,y₂)
x₂ = 11y₂ = y₂Distance d = 6.71
Plug the given values into the distance formula.
D = √( ( x₂ - x₁ )² + ( y₂ - y₁ )² )
6.71 = √( ( 11 - 5 )² + ( y₂ - 6 )² )
Therefore, the correct use of the formula is 6.71 = √( ( 11 - 5 )² + ( y₂ - 6 )² ).
Option D) 6.71 = √( ( 11 - 5 )² + ( y₂ - 6 )² ) is the correct answer.
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Nicole measured some distances on a map of Lassen Volcanic National Park. The scale on the map is 34
inch = 2 miles. What is the actual distance from Raker Peak to Hat Mtn?
Responses
A 4 miles4 miles
B 223
miles2 2 3 miles
C 214
miles2 1 4 miles
D 212
miles2 1 2 miles
E 3 miles
Performing a change of scale we will see that the actual distance is 4 miles.
What is the actual distance from Raker Peak to Hat Mtn?We know that the scale is:
3/4 inch = 2 miles.
And the distance that Nicole found on the map is (1 + 1/2) inches.
We can rewrrite the scale as:
1 inch = (4/3)*2 miles
1 inch = (8/3) miles.
Then the actual distance will be:
distance = (1 + 1/2) inches = (1 + 1/2)*(8/3) miles = 4 miles.
The correct option is A.
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consider a data set with at least three data values. suppose the highest value is increased by 10 and the lowest is decreased by 10. (a) does the mean change? explain.
If the highest value is increased by 10 and the lowest is decreased by 10 the mean doesn't change
Let us assume the data set with 10 observations:
{5, 6, 4, 3, 2, 6, 4, 9, 4, 4}.
Arranging data set in ascending order
{2, 3, 4, 4, 4, 4, 5, 6, 6, 9}
Mean of this data = Sum of all observations/Total number of observations
Mean = (2 + 3 + 4 + 4 + 4 + 4 + 5 + 6 + 6 + 9)/10
Mean = 47/10 = 4.7
Now, Increasing the highest value by 10 and decreasing the lowest value by 10
So, the new data set is {-8, 3, 4, 4, 4, 4, 5, 6, 6, 19}
Mean of this data = -8 + 3 + 4 + 4 + 4 + 4 + 5 + 6 + 6 + 19/10
Mean = 47/10 = 4.7
Hence, the mean doesn't change.
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Which of the of the following is a true statement about their kinetic energies?
True statement about the kinetic energies between Daniel and Robert is that Daniel has more kinetic energy than Robert.
What is the relationship between mass kinetic energy and speed?Kinetic energy will be greater if the speed and mass are large, otherwise the kinetic energy will be smaller if the speed and mass are small.
At the illustration, who has a faster speed is Daniel.
It is stated that the rowing device and its mass are the same. So a greater speed will also affect the kinetic energy which will also be greater. So it can be conclude that Daniel has more energy kinetic.
Your question is incomplete but most probably your full question was:
Daniel and Robert went rowing. While Robert was rowing at a speed of 8 km/h, Daniel was rowing at a speed of 10 km/h in the opposite direction. If the masses of the boats and their rowers are equal, which of the following is a true statement about their kinetic energies?
Only Robert has kinetic energy because he is rowing in the forward direction.Robert has more kinetic energy than Daniel.Only Daniel has kinetic energy because his energy cancels out Robert’s.Daniel has more kinetic energy than Robert.Learn more about kinetic energy at https://brainly.com/question/26472013
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according to mark cherry, in 2008, in the united states, how many patients were waiting for and organ transplant/donation and how many actually received an organ transplant?
There are many more people awaiting such a transplant than there are available organs, leading to a large backlog of patients who are not able to receive an organ transplant.
In 2008, the United States Department of Health and Human Services reported that there were approximately 113,000 patients in the United States awaiting organ transplants. Of those, only 28,535 received an organ transplant that year. This is a ratio of approximately 1 in 4. This can be expressed mathematically as 28,535/113,000 = 0.25, or one fourth. This means that for every 4 people awaiting an organ transplant in the United States in 2008, only 1 actually received one. While organ transplants are a life-saving procedure for many, the reality is that there are many more people awaiting such a transplant than there are available organs, leading to a large backlog of patients who are not able to receive an organ transplant.
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Complete question:What were the numbers of patients waiting for and receiving an organ transplant/donation in the United States in 2008, according to Mark Cherry?
A clock has a radius of 2 feet and an arc on the clock has a measure of π3 . A student claims that the area of the clock and the length of the subtended arc can be used to calculate te measure of the central arc in radians. Evaluate the student's claim and give an example that either supports or disproves the student's claim.
Answer:
see below
Step-by-step explanation:
r=2
arc = 3π
clock area = π r² =4π
circumference = 2πr =4π
subtended arc =3π = 75% of the clock
360° for a full circle so its central angle is 270°