It took David 1 [tex]\frac{3}{4}[/tex] hours more to reach her aunt's home due to labor day traffic.
What is unitary method?The unitary method is a method in which you find the value of a single unit and then the value of a required number of units.
Given is Davin who needs 1 3/4 hours to get to his aunt's house. However, due to the labor day traffic this year it took him 3 1/5 years.
We have to find the difference between the time span Davin took to reach his aunt's house.
Time taken by Davin without the labor day traffic = T[N] = 1 3/4 = 7/4 hours
Time taken by Davin with the labor day traffic = T[L] = 3 1/5 = 16/5 hours
Difference in time spans = T[D] = T[L] - T[N]
T[D] = 16/5 - 7/4
T[D] = 3.2 - 1.75
T[D] = 1.45 = 1 + 0.45
T[D] = 1 [tex]\frac{3}{4}[/tex] hours
Davin took 1 [tex]\frac{3}{4}[/tex] hours more.
Therefore, it took David 1 [tex]\frac{3}{4}[/tex] hours more to reach her aunt's home due to labor day traffic.
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PLEASE HELPPPPPPP I NEED THIS DONE
50 POINTS
Answer:
y to the power of -8
:) hope this help
Answer: y^8
Step-by-step explanation:
You see that the equation has two negative numbers, so it will become positive.
(y^-2)^-6 = y^8
The base of it will cancel each other out and left with y^8
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Which expression is equivalent to 7^ -2
what is the slope of PV
Answer: -4 (-4/1)
Step-by-step explanation:
Slope is the rate of change, or rise over run. So in this case it is negative because to get from p to v we have to go down. Sow e go down 4, and across one, but we just say -4.
Please help. I don’t understand the problem.
Answer:
ASA
Step-by-step explanation:
ASA stands for Angle-Side-Angle which is the congruency theorem that states that if a triangle shares two congruent angles that have one line in between the two angles share a side length congruent to each other, then the two triangles are congruent.
Before you get very confused on the difference between AAS (Angle-Angle-Side) and ASA (Angle-Side-Angle), let explain why these two triangles are ASA.
We are given that both triangles share a similar side length at KL where they are connected. We are also given that angle ∠JKL is congruent to angle ∠MKL. We are also given that angle ∠MLK is congruent to angle ∠JLK.
The most important part after deciding all the relationships is given to us, it is deciding what kind of congruence theorem we will use. We are given the options:
SSS (Side-Side-Side) SAS (Side-Angle-Side) ASA (Angle-Side-Angle) AAS (Angle-Angle-Side) HL (Hypotenuse-Leg)Because we are presented with two congruent angles and one congruent side, we know that this triangle congruency theorem is either ASA or AAS. To understand why these triangles are ASA, we have to look at where the two-given congruent sides are located. As we can see in the name and in our two triangles, the congruent side lengths are in between the two angles as it touches both angle ∠JKL and angle ∠JLK in triangle ΔJKL, while in on ΔMKL, the congruent side length is also found between angle ∠MLK and angle ∠MKL. So, these triangles share ASA because they share two congruent angles connected by one congruent line.
ORDER MATTERS WHEN YOU WRITE YOUR CONGRUENCY THEROMS
AAS is technically not the same as ASA and I will explain that in one moment.
An example of AAS is if instead being told that ∠JKL is congruent to angle ∠MKL, we are given that ∠KJL is congruent to angle ∠KML instead. now the congruent sides are not connected to angle ∠KJL or angle ∠KML. The side is no longer in-between the two congruent sides. The reason order matters here are because order matters between AAS and ASA because in another theorem, SAS, you will find out order matter because while SAS guaranties congruency SSA does not. Technically, though, while both AAS and ASA both guaranty congruency, they are labeled separately, the way the remaining congruency thermos are.
Karyn proofreads 15 pages in 2 hours for $40. What is her proofreading rate in pages per hour? How much does she earn per hour?
The proofreading rate of Karyn in pages per hour is $20 per 7.5 pages per hour , and she earn $20 per hour .
In the question ,
it is given that
Karyn proofreads ⇒15 pages in 2 hours for $40
Karyn in 2 hour proofreads 15 pages ,
So, in 1 hour She will proofread = 15/2= 7.5 pages
and will get $40/2 = $20 for 1 hour ,
hence ,her rate in pages per hour is $20 per 7.5 pages per hour .
In 2 hour Karyn earns $40
So , in 1 hour Karyn will earn $40/2 = $20
hence , she earn $20 per hour .
Therefore , the proofreading rate of Karyn in pages per hour is $20 per 7.5 pages per hour , and she earn $20 per hour .
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Which one of these expressions doesn’t have a value less than 1 please help thank you if u do
Option D which is [tex](3^{5} )^{2}/3^{4}[/tex] doesn’t have a value less than 1 .
What are exponential power?A number's exponent demonstrates how many times we are multiplying a given number by itself. 34, for instance, indicates that we are multiplying 3 by four. 3333 is its expanded form. The power of an integer is another term for an exponent. A whole number, fraction, negative number, or decimal are all acceptable. How frequently a number is multiplied by itself is indicated by its exponent. As 2 is multiplied by itself 4 times, 2222 might be expressed as 24, for instance. The "base" in this case is 2 and the "exponent" or "power" is 4. The general definition of xn is "x multiplied by itself n times."
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Is the commutative or associative property being shown in the problem below?
(3 x 5) x 8 = 3 x (5 x 8)
Associative Property
Answer:
Associative
Step-by-step explanation:
8
(b) Then determine whether the above relation is a function.
A) Function
B Not a function
The above relation is not a function
What is a function?
A function from either a set X to just a set Y allocates precisely one element of Y to each element of X. The set X is known as the function's domain, while the set Y is known as the function's codomain. The Persian mathematicians Al-Biruni and Sharaf al-Din al-Tusi are credited with the first known attempt to the concept of function. Originally, functions were the idealization of how a variable quantity depended on another quantity. A planet's location, for example, is a function of time. Historically, the notion was developed with the infinitesimal calculus at the end of the 17th century, and the functions investigated were differentiable until the 19th century.
The above relation is not a function
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Can someone help me with these two questions, I’m not sure if I’m correct or not.
5. The two triangles are similar. The value of x = 12.
6. The information cannot be used to show that the triangles are similar triangles.
How to Determine if two Triangles are Similar?Two triangles are similar to each other if they have the same shape but different sizes, in order words, they must have the same corresponding angle measures but different corresponding side lengths that are proportional to each other.
5. In the first figure, we see that there are two pairs of corresponding congruent angles (a pair of right angles and a pair of vertical angles in both triangles), but different corresponding side lengths.
Therefore, based on the AA similarity theorem that says two triangles are similar of they have two pairs of congruent sides, we can prove that both triangles are similar to each other.
Therefore:
x/9 = 20/15
15x = (9)(20)
15x = 180
15x/15 = 180/15
x = 12
6. The second image shows that the two triangles share a common side, which means they have a pair of corresponding sides that are congruent. Therefore, the information given cannot be used to prove they are similar triangles.
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Find MN such that LN = 5.7.
Line LN is compounded by segments LM and MN. The lenght of segment LM is fixed (1.3), and we need to find how long should segment MN be so the whole segment LN has a length of 5.7.
The length of segment LN is the sum of lengths of segments LM and MN. Writing it as an equation:
[tex]LN=LM+MN[/tex]We an replace the values we know in the equation:
[tex]5.7=1.3+MN[/tex]Now, we just need to solve for MN:
[tex]\begin{gathered} MN=5.7-1.3 \\ \\ MN=4.4 \end{gathered}[/tex]Segment MN should have a length of 4.4 for the segment LN to be 5.7. Correct answer is option D.
A restaurant equipment salesman is paid a 4% commission rate on his total sales.
One week he sells a total of $26,300 in product. What is his commission pay for
that week?
$5,260
O $1,052
$6,575
$10,520
The restaurant salesman will pay a commission of $1,052
How to calculate the amount of commission that will be paid ?Commission is the amount of money that is paid to a worker when a work is completed.
The commission rate of the total sales is 4%
= 4/100
= 0.04
The total sales for the week is $26,300
The commission that will be paid can be calculated as follows
= 26,300 × 0.04
= 1.052
Hence the amount of commission that will be paid is $1,052
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I will give brainlist ! very fast.. Hello its a math question is the last option the correct answer i am not sure please help
Hello!
Let's take this step-by-step:
The formula for the Area of the Triangle:
[tex]Area = \dfrac{1}{2} *\text{Base} *\text{Height}[/tex]
In this case:
Height: x + 3Base: 2x + 4Let's plug in those value's into the equation:
[tex]\text{Area}=\dfrac{1}{2} *(2x +4)*(x+3)\\\\\\\text{Let's first multiple '2x + 4' and 'x+3'}\\\text{Area}=\dfrac{1}{2} *(2x^2+6x + 4x + 12)=\dfrac{1}{2} *(2x^2+10x + 12)\\\\\\\\\\\textNow multiple 1/2 in the function in the parentheses}\\\text{Area}=\dfrac{1}{2} *2x^2 + \dfrac{1}{2}*10x +\dfrac{1}{2} *12\\\\\text{Area}=x^2+5x + 6[/tex]
Answer: [tex]x^2 + 5x +6[/tex]
Hope that helps!
(25)!!!!!
Two sidewalks in a park are represented by lines on a coordinate grid. Two points on each of the lines are shown in the tables.
Sidewalk 1
x y
2 7
0 3
Sidewalk 2
x y
1 5
3 3
(a)Write the equation for Sidewalk 1 in slope-intercept form.
(b)Write the equation for Sidewalk 2 in point-slope form and then in slope-intercept form.
(c)Is the system of equations consistent independent, coincident, or inconsistent? Explain.
(d)If the two sidewalks intersect, what are the coordinates of the point of intersection? Use the substitution method and show your work.
Helpppppp!! answer it who takes this test
Using linear functions, it is found that:
a) The equation is: y = 2x + 3.
b) The equations are:
Point - slope form: y - 5 = -(x - 1).Slope - intercept form: y = -x + 6.c) The systems are consistent independent.
d) The point of intersection is (1, 5).
Linear functionA linear function is defined in slope-intercept formula by the rule presented as follows:
y = mx + b.
In which:
m is the constant rate of change of the function, called slope.b is the value of y when x = 0, called intercept.For Sidewalk 1, it is found that:
When x increases by 2, y increases by 4, hence the slope is of m = 2.When x = 0, y = 3, hence the intercept is of b = 3.Then the rule is:
y = 2x + 3.
For Sidewalk 2, when x changes by 2, y decays by 2, hence the slope is:
m = -2/2 = -1.
The line goes through point (1,5), hence the equation in point-slope form is:
y - 5 = -(x - 1).
Combining the like terms, the slope-intercept form is:
y - 5 = -x + 1
y = -x + 6.
Since the two lines have different slopes, the system is consistent independent.
The x-coordinate of the intersection is:
-x + 6 = 3 + 2x.
3x = 3
x = 1.
The y-coordinate is:
-x + 6 = -1 + 6 = 5.
Hence the intersection point is:
(1, 5).
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Answer: I am I don't know man
Step-by-step explanation: answer is I don't know.
Finding a final amount in a word problem on expA certain forest covers an area of 2600 km². Suppose thaUse the calculator provided and round your answer to the2.kmХ?
Since the area decreases the same percent each year, we will use the exponential function of decay to solve the question
[tex]f(x)=ab^x^{}[/tex]Where:
a is the initial value
b is the factor of decay
y is the new value
x is the time
[tex]\because a=2600km^2[/tex][tex]\because b=1-\frac{7}{100}=0.93[/tex][tex]\because x=7years[/tex][tex]y=2600(0.93)^7[/tex]Let us find the answer using the calculator
[tex]y=1564.422264km^2[/tex]Round it to the nearest square km means a nearest whole number
y = 1564 km^2
The final amount is 1564 square kilometers
Which function is shown in the graph?
Answer:
1st option
Step-by-step explanation:
help on both problems
Answer:
114 cm^2; x = 6: it is not possible because the lengths of the sides when solved are not the right size. x - 1 is bigger than 2x - 4 in the picture but in reality it is not. it doesnt make sense
Step-by-step explanation:
for the first one the area of a trapezoid is [tex]\frac{1}{2} h(b_{1} +b_{2})[/tex]
so
first find the height of the triangle
8^2 + h^2 = 10^2
64 + h^2 = 100
h^2 = 36
h = 6
so
the height is 6
now plug it in
[tex]\frac{1}{2} * 6 (25 + 13)[/tex]
[tex]\frac{1}{2} * 6(38)[/tex]
114 cm is the first answer
for the second one you can add all of them together and set them equal to 27
x - 1 + 2x - 4 + 3x - 4 = 27
6x - 9 = 27
6x = 36
x = 6
that is the second answer
it is not possible because the lengths of the sides when solved are not the right size. x - 1 is bigger than 2x - 4 in the picture but in reality it is not. it doesnt make sense
WILL GIVE BRAINLIEST
Answer:
1. Hyperbole
2. Center: (0,0)
3. Vertices: (-3, 0), (3, 0)
4. Foci: (-6, 0), (6, 0)
5. Asymptotes: y = [tex]\frac{\sqrt{18}}{3} }[/tex]x and y = [tex]-\frac{\sqrt{18}}{3} }[/tex]x
Step-by-step explanation:
Find the distance between A(5,-4) and B(5,-5)
Answer:
1
Step-by-step explanation:
(5−5)^2+(−5−(−4))^2
0^2+-1^2
1
-3/2x = 6 solve for x and simplify your answer as much as possible
Answer: x = -4
Step-by-step explanation:
Multiply both sides by 2 to get:
-3x = 12
Then, divide both sides by -3 to get:
x = -4
Hope this helps!
Answer:
x = -4
Step-by-step explanation:
Kareem wrote an exam which had 30 questions. Each question he answers correctly gets him 10
marks. However, he loses 5 marks for each question he answers incorrectly. He attempted all the
questions and got a total of 180 marks. How many questions did he answer wrong?
Total number of questions = 30 questions.
Each correct answer gets = 10 marks.
Marks deducted for each wrong answer = 5 marks.
Total marks scored by Kareem = 180 marks.
If Kareem had attended all the questions, then
Let 'α' be the number of questions he answered wrong, then the number of questions answered correctly by him, will be = (30 - α)
Then we have,
Total marks obtained = (correct answers x 10 marks ) - (wrong answers x 5 marks )
that is.,
180 = [(30 - α) x 10] - [α x 5] = 300 - 10α - 5α
180 - 300 = -15α
α = 120/15 = 8 questions.
Therefore, 8 questions were answered wrong by Kareem.
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(c) Which is more unusual - an actress who receives an Oscar at 22 or an actor who
receives an Oscar at 55? Explain you answer using the percentages you calculated in
parts (a) and (b).
(d) Which is more unusual an actress who receives an Oscar at 55 or an actor who
receives an Oscar at 55? Calculate the standard score for the 55 year old actress.
Calculate the standard score for the 55 year old actor. Then answer the question and
explain your answer.
For 10 weeks Dolly wrote down everything she ate as well as weighed herself each morning. For two separate weeks during the 10-week period when her car was broken down and she was walking to work, she was running late each day so she did not have a chance to write down what she ate.
At the end of the 10 weeks, she graphed her weight over time and noticed that for the two weeks she didn't write down anything she lost weight. She concluded that for this experiment NOT writing down what she ate would help her lose weight.
Which mistake did Dolly have in her conclusion?
Responses
Her experiment lasted for 10 weeks since she did not record what she ate for 2 weeks. That her experiment lasted for 10 weeks since she did not record what she ate for 2 weeks.
B Confusing an experiment with an observational study. Confusing an experiment with an observational study.
C Confusing causation with correlation.Confusing causation with correlation.
D She did not make any mistakes in her conclusion.
The mistake that Dolly have in her conclusion is A. Her experiment lasted for 10 weeks since she did not record what she ate for 2 weeks. That her experiment lasted for 10 weeks since she did not record what she ate for 2 weeks.
How to illustrate the information?An experiment is carried out in order to get more information about a particular thing.
In this case, at the end of the 10 weeks, she graphed her weight over time and noticed that for the two weeks she didn't write down anything she lost weight.
Therefore, this caused the mistake that was noticed.
In conclusion, the correct option is A.
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Here are the ages of 14 coworkers:
Note that based on the graph given, the mean is at point B, while the median is also at point B:
What is mean?The mean is the average of a set of variables in mathematics and statistics. The mean may be calculated in a variety of methods, including the simple arithmetic mean (add the integers and divide the total by the number of occurrences), geometric mean, and harmonic mean.
The median, on the other hand, is the number in the middle of a sorted, ascending or descending list of numbers, and it might be more descriptive of the data set than the average.
For the median:
Given the above definition, and the fact that we have 14 data points, the median is going to be somewhere between the 7th and 8th data points. By graph analysis, it is easy to see the following:
For the mean:
Given that the graph is representative of a Normal Distribution, the mean is also at point B.
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Full Question:
Here are the ages of 14 coworkers: [See attached graph]
Where is the mean?, and Where is the median?mary walked to school at an average speed of 2 miles per hour and jogged back along the same route at an average speed of 6 miles per hour. if her total traveling time was 1 hour, what was the total number of miles in the round trip?
As a result, the total distance traveled by Mary in her round trip is 3/2 mile + 3/2 mile = 6/2 mile = 3 mile
How to calculate total distance?We can calculate the total distance traveled by a body with position function s (t) if it moves along a coordinate line without changing direction from t = a to t = b. If the body changes direction during the journey, we must integrate the body's speed |v (t)| to find the total distance traveled.
Therefore,
We know Mary spent only a third of the time coming from school as she did going because she traveled three times as fast coming from school as she did going to school (6 miles per hour versus 2 miles per hour). If x represents the time it took her to get to school, then x/3 represents the time it took her to return.
Knowing that the total trip took 1 hour, we have:
x + x/3 = 1
3x/3 + 1x/3 = 1
4x/3 = 1
x = 3/4
So we know it took Mary 3/4 of an hour to get to school (and 1/4 of an hour to get home).
Remembering that distance = rate × time, Mary's commute to school was (2 miles per hour) × (3/4 of an hour) = 3/2 mile. Furthermore, because she returned via the same route, she must have traveled 3/2 of a mile.
As a result, the total distance traveled by Mary in her round trip is 3/2 mile + 3/2 mile = 6/2 mile = 3 mile.
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(5+2) (5-5)=0 is it a solution .
Answer:
5+5 5-5=0 is not a solution
Step-by-step explanation:
Jane wants to save $500 to purchase a new television. She earns $10.50 an hour at her job. The function M(h) = 8h represents the amount of money Jane earns in dollars, M(h), for each hour h that she works. Find M(60).
*Type in your answer.
M(60) =$.
The amount that Jane would earn for working for 60 hours is $630.
What is M(60)?The given function is a linear function. A linear function is a function that changes at a constant rate. When a linear graph is drawn on a coordinate graph, it can slope either upward or downward.
The linear function that represents the total amount she earns is:
Total earnings = cost per hour x total number of hours worked
Total earnings = $10.50 x h
Total earnings = $10.50 x 60 = $630
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Find the value of x that will make A||B.
X = ?
Answer:
x = 12
Step-by-step explanation:
Since they are opposite exterior angles, they are congruent, so you set them equal to each other
5x = 4x + 12
- 4x - 4x
x = 12
For A and B to be parallel then the angle (4x+12)⁰ and the angle opposite to angle (5x)⁰ should be equal since the two are congruent to each other.
therefore
5x = opposite angle=(4x+12)
=> 5x=(4x+12)
=>5x-4x= 12
therefore
X =12⁰
IMAGE ATTACHED. On average, Ian drinks 5/6 of a 6-ounce glass of water in 5 minutes. How much water does he drink, in glasses per hour? please help
out of 100 people which are either tall or fat or both, 62 are tall, and 55 are fat. if i select one random person out of the 100 what is the probability, he is both tall and fat?
The probability a selected person is both tall and fat is 0.341
How to determine the probability?From the question, the given parameters are
People = 100
Fat = 55
Tall = 62
So, the individual probabilities are
P(Fat) = 55/100
P(Tall) = 62/100
Evaluate
P(Fat) = 0.55
P(Tall) = 0.62
The probability a person is both tall and fat is
P(Fat and Tall) = P(Fat) * P(Tall)
So, we have
P(Fat and Tall) = 0.55 * 0.62
Evaluate
P(Fat and Tall) = 0.341
Hence, the probability is 0.341
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which integers represent each situation? a) a debt of $10b) 6 degrees below 0 c) deposit of $25 someone please help fast
An integer that represent the debt of $10 can be express below
[tex]-\text{ \$10}[/tex]An integer that represent 6 degree below 0 is expressed below
[tex]0-6=\text{ -6 degre}e[/tex]An integer that represent a deposit of $25 can be express below
[tex]+\text{ \$25= \$25}[/tex]