The expression using the fewest possible terms in (2/5*t - 7 + 2/3 * t) - (5/6 * t + 14) is (7/30)*t + (-21) .
In the question
the given expression is (2/5 * t - 7 + 2/3 * t) - (5/6 * t + 14)
Simplifying the expression further
we get ,
[tex]= \frac{2}{5} t-7+\frac{2}{3} t-\frac{5}{6} t-14[/tex]
writing the like terms together
= t * (2/5+2/3-5/6)-7-14
taking LCM of 5,3,6 as 30 and simplifying further we get ,
= t * (12/30 + 20/30 -25/30) - 21
= t * (7/30) - 21
which can also be written as (7/30)*t + (-21) .
Therefore , the expression using the fewest possible terms in (2/5*t - 7 + 2/3 * t) - (5/6 * t + 14) is (7/30)*t + (-21) .
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A ticket to see Pink in concert costs $113.50 $ 113.50 at regular price. An online ticket company is offering tickets at a 10% 10 % discount. Your friend bought a ticket at the discounted price but found out he can't go. He's offering the ticket to you at an additional 25% 25 % off what he paid. What price could you get the concert ticket for if you bought it from your friend? Round your answer to the nearest cent, if necessary.
Charlette reads 8 1/3 pages of a book in 10 minutes. What is her average reading rate in pages per minute?
Answer:
Step-by-step explanation:
8 1/3 pages/10 minutes = 25/3 pages / 10 minutes = 25/30 pages/minute = 5/6 page/minute
Point D
Point G
Point I
Point A
A realtor earns a base salary of $30,000 a year +3% of her yearly sales. if victoria want to make a $60,000 annual salary this year how much will she need to sell?
The answer is 2000000$ . Victoria need to sell 2000000$ this year to achieve $60000 this annum.
As per the question , 3 percent of her yearly is equivalent to $30000 ,
If 3 percent is equivalent to $30000 , then 100 % is equal to , ( 30000 × 100/3 = 1000000 $ )
Now , we can conclude , the realtor sold worth of 1000000 $.
If Victoria want to earn 60000$ then She has to sell ( 60000 ×100/3 = 2000000 $ ) as only 3 % is equivalent to 60000 $ .
This year 2000000$ will she need to sell .
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A box of book has a mass of 4.1 kilograms for every meter of its height . Convert your this ratio into pound per inch
Answer:
9 pounds per inch
Step-by-step explanation:
There are approximately 2.2 pounds in a kilogram. So, 4.1 kilograms is approximately 9 pounds. Therefore, the ratio is 9 pounds per inch. The step by step for this is, 4.1 kg/m * 2.2 lb/kg = 9 lb/m * 1 in/m = 9 lb/in
suppose you have two bags of marbles that are in a box. bag 1 contains 7 white marbles, 6 black marbles, and 3 gold marbles. bag 2 contains 4 white marbles, 5 black marbles, and 15 gold marbles. the probability of grabbing the bag 1 from the box is twice the probability of grabbing the bag 2. if you close your eyes, grab a bag from the box, and then grab a marble from that bag, what is the probability that it is gold?
The probability that it is gold is (1/3).
What is probability?The area of mathematics known as probability deals with numerical representations of the likelihood that an event will occur or that a statement is true. An event's probability is a number between 0 and 1, where, roughly speaking, 0 denotes the event's impossibility and 1 denotes certainty. The likelihood that an event will occur increases with its probability. If two events are mutually exclusive, then there is a 0 percent chance that they will both happen at the exact moment. Two events are said to be mutually exclusive if they share no elements (their intersection is the empty set). Consequently, P(A∩B)=0.
Let A be the event that a gold marble is picked.
Let B₁ and B₂ be the event that the first bag is chosen and the second bag is chosen respectively.
Given: P (B₁ ) = 2.P(B₂)
Also, P(B₁) + P(B₂) = 1
∴ 2P(B₂) + P(B₂) =1
3P(B₂) = 1
P(B₂) = 1/3 and P(B₁) = 2/3
Now
P(A)
= P(A∩(B₁∪B₂))
= P[(A∩B₁)∪(A∩B₂)]
Probability adds up because the events are mutually exclusive
= P(A∩B₁) + P(A∩B₂)
= P(B₁). P(A/B₁) + P(B₂). P(A/B₂)
= (2/3)×(3/16) + (1/3)×(15/24)
= (1/3)
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Which is an example of a line segment? the edge of a book the corner of a box a beam of light the floor of a classroom
(D) the floor of a classroom is a perfect example of a line segment.
What do we mean by line segment?A line segment is a section of a straight line that is constrained by two distinct end points and contains every peak on the line between them. The Euclidean distance between the endpoints of a line segment determines its length. A closed line segment contains both endpoints, whereas an open line segment does not; a half-open line segment contains only one endpoint. In real life, a line segment can be represented by a ruler, a pencil, or a stick. The sun's rays are an illustration of a ray. The sun is the origin of the sun's rays, but there is no endpoint. A line segment is a perfect example of a classroom floor.Therefore, (D) the floor of a classroom is a perfect example of a line segment.
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The correct form of the question is given below;
Which is an example of a line segment?
(A) the edge of a book
(B) the corner of a box
(C) a beam of light
(D) the floor of a classroom
The midpoint of AB is M(3, -1). If the coordinates of A are (5, 1) what are the coordinates of B?
The coordinates of B is (1,-3) .
A midpoint formula is a formula used to identify the midpoint between two data points. Except for geometry, research in economics uses this calculation to calculate elastic moduli, etc.The Midpoint Formula is given by [tex](x, y)=(\frac{x_1+x_2}{2} ,\frac{y_1+y_2}{2} )[/tex] where, [tex](x_1,y_1)[/tex] are the coordinates of the first point and [tex](x_2,y_2)[/tex] are the coordinates of the second point.It is given that midpoint of AB is (3, -1) and coordinates of A is (5, 1) .
Let the coordinate of B be (x, y) .
By using midpoint formula , we get
[tex](3, -1)=(\frac{5+x}{2} , \frac{y+1}{2} )\\[/tex]
On comparing , we get the x- coordinate
[tex]\frac{5+x}{2} =3\\\5+x=6\\x=1[/tex]
On comparing , we get the y- coordinate
[tex]\frac{1+y}{2} =-1\\\\1+y=-2\\y=-3[/tex]
Hence , the coordinates of B is (1,-3) .
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PLEASE HELP!
Alissa has already made $15 in the last week selling rubber band bracelets. She earns $5 for each bracelet she makes.
Complete the table to show how much money Alissa will have in total if she continues selling bracelets this week.
Using a linear function, the table for her earnings y of producing x bracelets is given as follows:
x = 1, y = 20.x = 2, y = 25.x = 3, y = 30.x = 4, y = 35.x = 5, y = 40.What is a linear function?A linear function is modeled by the following rule:
y = mx + b
In which:
m is the slope, which is the rate of change, that is, the change in y divided by the change in x.b is the y-intercept, which is the the value of y when the function crosses the x-axis, that is, when x = 0.For this problem, we have that:
She has already made $15, hence the intercept is of b = 15.She earns $5 for each bracelet, hence the slope is of m = 5.Hence her earnings are modeled as follows:
y = 5x + 15.
The the numeric values are given as follows:
y(1) = 5(1) + 15 = 20.y(2) = 5(2) + 15 = 25.y(3) = 5(3) + 15 = 30.y(4) = 5(4) + 15 = 35.y(5) = 5(5) + 15 = 40.Then the table for her earnings y of producing x bracelets is given as follows:
x = 1, y = 20.x = 2, y = 25.x = 3, y = 30.x = 4, y = 35.x = 5, y = 40.More can be learned about linear functions at https://brainly.com/question/24808124
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The length of a rectangle is 99 centimeters. Find all possible values for the width of the rectangle if the perimeter is at least 240 centimeters.
So the width should be 21 cm, to have a length of 99 cm and a perimeter of 240 cm in linear equations.
What are instances of linear equations?
Ax+By=C is the usual form for two-variable linear equations. A standard form linear equation is, for instance, 2x+3y=5. When an equation is given in this format, finding both intercepts is rather simple (x and y).Because (0,y) is the location where the line crosses the y-axis, the value of y when x is 0 is referred to as the y-intercept.The point-slope form, standard form, and slope-intercept form are the three main types of linear equations.240 = 2(99) + 2x
240 = 198 + 2x
42 = 2x
21 = x
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Please help me get the answer i am curious .
Answer:
197miles
Step-by-step explanation:
because on avg drove 35 miles per gallon. so if we use 6x35 we would have how far he can drive on 6 gallons gas
Daniel has a candy jar with 32 jellybeans. He loves jelly beans and is trying not to eat them all at once. Every time he reaches in to the jar, he removes exactly half of the jelly beans. How many times does he reach into the jar so that he only has 1 jellybean left in the jar after he removes half?
Answer:
5
Step-by-step explanation:
Answer:
5 times
Explanation:
32 / 2 = 16
16 / 2 = 8
8 / 2 = 4
4 / 2 = 2
2 / 2 = 1
Every time Daniel puts is hand in, he takes half of all the jellybeans.
The first time he put his hand in, there was 32 jellybeans and 32 / 2 = 16. After that, there was 16 so taking half would mean that there would be 8. Then this goes on till it reaches 1.
9. Use the graph of the sequence to answer the parts.
a. Is the sequence arithmetic, geometric, or neither Explain.
b. Write a recursive formula for the sequence.
c. Write an explicit formula for the sequence.
The recursive formula for the sequence is T(n+1) = Tn - 3 where T1 = 19 and the explicit formula for the sequence is Tn = 22 - 3n
a. Is the sequence arithmetic, geometric, or neitherOn the given graph, we have the following points
19, 16, 13, 10, 7
These points represent the nth term of the sequence
See that the points have a common difference of -3
Hence, the sequence is an arithmetic sequence
b. Write a recursive formula for the sequence.In (a), we have
T1 = 19
d = -3
So, we have
T2 = T1 + d
This gives
T2 = T1 - 3
Express 2 as 1 + 1
So, we have
T(1+1) = T1 - 3
Express 1 as n
So, we have
T(n+1) = Tn - 3
Hence, the recursive formula for the sequence is T(n+1) = Tn - 3 where T1 = 19
c. Write an explicit formula for the sequence.In (a), we have
T1 = 19
d = -3
So, we have
Tn = T1 + (n - 1)d
This gives
Tn = 19 + (n - 1) * -3
Evaluate
Tn = 19 + 3 - 3n
Evaluate the sum
Tn = 22 - 3n
Hence, the explicit formula for the sequence is Tn = 22 - 3n
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Emily claims that a tree height of 43 inches is an outlier for the distribution. Based on the 1. 5×iqr rule for outliers, is there evidence to support the claim?.
Emily claims that a tree height of 43 inches is an outlier for the distribution.
What is the 1.5 IQR rule for outliers?
Add 1.5 to the interquartile range (IQR) (a constant used to discern outliers). The third quartile is increased by 1.5 times (IQR). Any figure above this is thought to be an outlier.
The starting and the end of the box in box plot are first and third quartile respectively.
From the given box plot it is clear that, Q₁ = 34 and Q₃ = 38
IQR = Q₃ - Q₁
IQR = 38 - 34
IQR = 4
According to 1.5x IQR rule for outliers, all the data values lies outside the interval [ Q₁ - 1.5 × IQR , Q₃ + 1.5 × IQR ] are outliers..
Q₃ + 1.5 × IQR = 38 + 1.5(4)
Q₃ + 1.5 × IQR = 38 + 6
Q₃ + 1.5 × IQR = 44
We know that, 43<44.
Since, 43 is not greater than Q₃ + 1.5 × IQR therefore, 43 is not an outlier and there is no evidence to support the claim.
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I need help with this, I no understand how complete the activity
Answer:
You have to give proof of why the question is true by slowly giving facts about the angles
Step-by-step explanation:
11/13% of a quantity is equal to what fraction of the quantity?
11/13% of a quantity is equal to 11/1300 fraction of the quantity.
What is Percent to Fraction?Percentage signifies for every hundred or for each. We display it as %. Since a percentage is expressed on a scale of 1 to 100, it is easy to comprehend. Converting percentage data to fractions is known as "percent to a fraction." As per the percent to fraction conversion instructions, the percentage can be written as a fraction by deleting the percent symbol and placing 100 in the denominator. Any percent can easily be converted to a fraction, and the opposite is also true.
How to Convert Percent to Fraction?To convert a percentage to a fraction, follow these three simple steps. Let's examine these three processes in more detail.
Leave out the percent sign.divide it by 100.Reduce the obtained fraction.Divide the given percentage by 100
[tex]\frac{11}{13}[/tex]% [tex]=\frac{11}{13} \times \frac{1}{100} \\=\frac{11}{1300}[/tex]
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A number cube labeled 1 through 6 is rolled.
What is the probability of the cube landing on an even number?
Answer:
3/6 = 1/2
Step-by-step explanation:
There are only 3 even numbers on a 6-sided dice:;2, 4, and 6, so this would mean we have a 3 out of 6 chance of getting an even number. Simplify that, and you get one-half.
Answer:
1/6
Step-by-step explanation:
1 cube and 6 rolls
Nicole needs to spend at least 4 hours each week practicing the guitar. she has already practiced two and one third hours this week. she wants to split the remaining practice time evenly between the last 2 days of the week. write an inequality to determine the minimum number of hours she needs to practice on each of the 2 days. two and one third 2x ≥ 4 two and one third 2x ≤ 4 two and one thirdx 2 ≤ 4 two and one thirdx 2 ≥ 4
According to the given statement an inequality to determine the minimum number of hours she needs to practice on each of the 2 days two and one third + 2x ≥ 4.
The correct option is A.
What are the three types of inequality ?The lowered life expectancy, higher infant mortality, lesser social mobility, , and mental illness are all factors that contribute to lower life expectancy.
Income disparity. Income inequality is defined as the degree to which money is distributed unevenly among a group of people.
Pay Disparity. The pay of an individual changes from their income. Pay simply refers to the money earned through employment.
Inequality of wealth.
According to the given data:Given,
How many hours she has already practiced= , 2/3
She also wants to train for another two days, putting up equal hours each day.
Let x be the number of hours she practised each day.
As a result, the total number of hours kate practiced in two days was = 2x
As a result, the total amount of time she practiced = 2/3 + 2x
If she wishes to practice for at least four hours,
2/3 + 2x ≥ 4
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I understand that the question you are looking for is:
Nicole needs to spend at least four hours each week practicing the guitar. She has already practiced two and one third hours this week. She wants to split the remaining practice time evenly between the last two days of the week. Write an inequality to determine the minimum number of hours she needs to practice on each of the two days.
A. two and one third + 2x ≥ 4
B. two and one third + 2x ≤ 4
C. two and one third x + 2 ≤ 4
D. two and one third x + 2 ≥ 4
Find the length of segment MN. Round to the nearest tenth.
Write your response in the answer box.
-N(-1, 2)
y
M(-4,-4)
The length of segment MN rounded to the nearest tenth is 6.7 units.
What is the length of segment MN?The distance formula used in finding the distance between two points is expressed as;
D = √( (x₂-x₁)² + (y₂-y₁)² )
Given the data in the question;
Point N(-1, 2)
x₁ = -1y₁ = 2Point M(-4,-4)
x₂ = -4y₂ = -4Plug these values into the above equation.
D = √( (x₂-x₁)² + (y₂-y₁)² )
D = √( ( (-4) - (-1))² + ( (-4) - 2)² )
D = √( ( -4 + 1 )² + ( -4 - 2)² )
D = √( ( -3 )² + ( -6 )² )
D = √( 9 + 36 )
D = √45
D = 3√5
D = 6.7 units
Therefore, the length of segment MN rounded to the nearest tenth is 6.7 units.
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Illustra
i Mathe
4. A student has these scores on their assignments. The teacher is considering droppi
a lowest score. What effect does eliminating the lowest value, 0, from the data set
have on the mean and median?
0, 40, 60, 70, 75, 80, 85, 95, 95, 100
We can conclude that the value of both mean and median increases when we remove the lowest value, 0, from the data set.
What do we mean by mean and median?The mean is the average of a set of values in mathematics and statistics. The mean can be calculated in a variety of ways, including the simple arithmetic mean (add the numbers and divide the total by the number of observations), geometric mean, and harmonic mean.The median is the number in the middle of a sorted list of numbers, and it is more descriptive of the data set than the average. When there are outliers in the sequence that could skew the average of the values, the median is sometimes used instead of the mean.(1) First, we have to find the value of the mean and median with the value of 0.
(A) Mean: Sum of all values/Number of terms
= 700/10= 70(B) Median: If the number is an even number, add the two middles and divide by 2.
= 75 + 80/2= 155/2= 77.5(2) Now, we have to find the value of the mean and median without the value of 0.
(A) Mean: Sum of all values/Number of terms
= 700/9= 77.77(B) Median: If there are an odd number of observations, the number in the middle of the list is the median.
= 5th term from both sides is the middle value= 80Therefore, we can say that the value of both mean and median increases when we remove the lowest value, 0, from the data set.
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PLEASEE HELP AGAINNNN!!!!
If a1 = 4 and an = -4an - 1 then find the value of a6
The 6th term of the geometric sequence is of -4096.
What is a geometric sequence?A geometric sequence is a sequence in which the result of the division of consecutive terms is always the same, called common ratio q.
The nth term of a geometric sequence is given by:
[tex]a_n = a_1q^{n-1}[/tex]
In which [tex]a_1[/tex] is the first term.
For this problem, we have that:
The first term is [tex]a_1 = 4[/tex].[tex]a_n = -4a_{n - 1}[/tex], hence the common ratio is q = -4.Thus the 6th term of the sequence is found as follows:
[tex]a_6 = a_1q^5 = 4(-4)^5 = -4096[/tex]
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q+10q+4q q+10q+4qq+10q+4q
3q+30q+12q = 45q
Hope that helped :)
Answer:
35q+8qq
Step-by-step explanation:
i know is ryt
but y did u separate de first 4's other q like dat?
What is the molecular formula of a hydrocarbon with m = 108? fill in the blank 1
M+=108 is a technique to indicate a compound's molecular formula; it only contains simple numbers for each type of atom in a molecule and no structural information.
What do you mean by the term hydrocarbon?An organic chemical molecule that only contains hydrogen and carbon atoms is referred to as a hydrocarbon. Natural hydrocarbons are the building blocks of coal, natural gas, crude oil, and other significant energy sources. They burn easily and emit heat, water, and carbon dioxide when they are burned. As a result, hydrocarbons constitute a very efficient fuel source. The concerned hydrocarbon molecule contains 12 hydrogen atoms and 8 carbon atoms. The resulting chemical is C8H12. C8H12 is composed of one ring and two double bonds.
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the hawaii visitors bureau collects data on visitors to hawaii. the following questions were among 16 asked in a questionnaire handed out to passengers during incoming airline flights in june 2003. • this trip to hawaii is my: 1st, 2nd, 3rd, 4th, etc. • the primary reason for this trip is: (10 categories including vacation, convention, honeymoon) • where i plan to stay: (11 categories including hotel, apartment, relatives, camping) • total days in hawaii
The population includes all individuals/subjects about whom we want to collect data.
POPULATION = All visitors to Hawaii who fly there.
What is termed as population study?A population is the entire set of individuals, if that group is a nation or a collection of individuals who share a characteristic.
Some key points related to study of population are-
A population in statistics is the group of people from which a statistical sample is selected for a study. As a result, any group of people who share a characteristic can be called a population. A sample can also correspond to a statistically significant subset of a population, rather than the entire population. As a result, a statistical analysis of a sample should report this same approximate standard deviation, as well as standard error, of its overall population results. Only a population-wide analysis has no standard error.To know more about the population study, here
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the complete question is -
The Hawaii Visitors Bureau collects data on visitors to Hawaii. The following questions were among 16 asked in a questionnaire handed out to passengers during incoming airline flights in June 2003. This trip to Hawaii is my: 1st, 2nd, 3rd, 4th, etc. The primary reason for this trip is: (10 categories including vacation, convention, honeymoon). Where I plan to stay: (11 categories including hotel, apartment, relatives, camping) Total days in Hawaii.
What is the population being studied?
How many groups of 1/3 are in 4 (draw a tape diagram)
Evaluate each expression so the equation is 8b-a and a=4 and b=6
Answer: 44
Step-by-step explanation: basically replace b with 6 and a with 4 in the expression 8b-a, which turns out to be 8(6)-(4). We're subtracting 4 from the product of 8(6), which is 48. 48-4 = 44
ab sorumu silmeyin be aga
Answer:
ab don't delete my question aga
Step-by-step explanation:
Given that m∠ABC = 143°, find m∠ABD and m∠DBC.
Answer:
m<ABD = 24°
m<DBC = 119°
Step-by-step explanation:
m<ABD + m<DBC = m<ABC
2x - 40 + 3x + 23 = 143
5x - 17 = 143
5x = 160
x = 32
m<ABD = 2x - 40 = 2(32) - 40 = 24
m<ABD = 24°
m<DBC = 3x + 23 = 3(32) + 23 = 119
m<DBC = 119°
jessica is saving money for a new sailboat. she has already saved $1,000 and plans to save $150 per week. this situation can be represented by the function f(x)
This situation can be represented by the function f(x)=1000+150x.
Linear Equation can be defined as the equation that have highest degree 1.
For Example : 3x+6 is a linear equation as it's highest degree is 1.
In the given question
Total money saved=initial amount+(money saved per week)*(number of weeks) …(1)
Given that
Jessica already saved = $1000
money to be saved per week = $150
let the number of weeks she will be saving money =x
let f(x) be the function used to represent money saved
Substituting the values in eqn (1) we get
f(x)=1000+150(x)
Therefore , this situation can be represented by the function f(x)=1000+150x.
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At maximum speed, an airplane travels
Let x be the maximum speed of the plane and y
2100 miles against the wind in 6 hours.
be the speed of the wind. What is the speed of
Flying with the wind, the plane can
the plane with no wind?
travel the same distance in 4 hours.
Enter the correct answer.