Answers
After solving the value of x is 2.
From the figure:
Let ABCDE be the figure such that:
AB = 6x , BC = 6 , CD = 4,and DE = CE - CD = 12 - 4 = 8.
BD and AE are parallel lines such that:
AB/BC = ED/CD
6x/6 = 8/4
x = 8/4
x = 2.
Therefore After solving the value of x is 2.
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Related Questions
A woman who is 64 inches tall has a shoulder width of 16 inches.
Write an equation relating the height h to the width w. Find the height
of a woman who has a shoulder width of 18.5 inches. I know we have to multiply 18.5x4 but why?
Answers
The height of woman who has a shoulder width of 18.5 inches is 74 inches.
What is Proportion?In general, the term "proportion" refers to a part, share, or amount that is compared to a total.
According to the concept of proportion, two ratios are in proportion when they are equal.
A mathematical comparison of two numbers is called a proportion. According to proportion, two sets of provided numbers are said to be directly proportional to one another if they increase or decrease in the same ratio. "::" or "=" are symbols used to indicate proportions.
Given:
Height of woman = 64 inches
Shoulder width = 16 inches
So, ratio = Height : shoulder width = 64:16
let the height of a woman who has a shoulder width of 18.5 inches be x.
So, x:18.5.
Now,
64 / 16 = x/ 18.5
4= x/18.5
x= 74
Hence, the height of woman who has a shoulder width of 18.5 inches is 74 inches.
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Which i the inequality in factored form that repreent the region greater than or equal to the quadratic function with zero –3. 5 and 11. 5 and include the point (8. 5, –54) on the boundary?
y greater-than-or-equal-to three-halve (x minu 3. 5)(x 11. 5)
y greater-than-or-equal-to negative three-halve (x 3. 5)(x minu 11. 5)
y greater-than-or-equal-to negative three-halve (x minu 3. 5)(x 11. 5)
y greater-than-or-equal-to three-halve (x 3. 5) (x minu 11. 5)
Answers
The inequality is represented by the polynomial y ≥ 3.6 · (x - 11.5) · (x + 3.5).
What is the expression of the quadratic inequality?
Herein we must derive the quadratic expression within an inequality of the y ≥ f(x) based on its two roots and a known point on the curve. We can find the coefficients of the quadratic function by solving this system of linear equations:
(x₁, y₁) = (- 3.5, 0)
12.25 · a - 3.5 · b + c = 0 (1)
(x₂, y₂) = (11.5, 0)
132.25 · a + 11.5 · b + c = 0 (2)
(x₃, y₃) = (8.5, - 54)
72.25 · a + 8.5 · b + c = - 54 (3)
The solution of the system is a = 3.6, b = - 54, c = 144.9.
Thus, the inequality is represented by the polynomial y ≥ 3.6 · x² - 54 · x + 144.9, whose factored form is determined by the quadratic formula:
y ≥ 3.6 · (x² - 15 · x + 40.25)
y ≥ 3.6 · (x - 11.5) · (x + 3.5)
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1. What number is 1.23 x 10^6 without scientific notation?
Answers
The number 1.23 x 10⁶ without scientific notation is 12,30,000.
Scientific Notations:Scientific notation is a way to display extremely big or extremely small numbers in a more understandable way. We are aware that full numbers can go on forever, but we are unable to write such enormous figures on paper.
We use positive exponents for base 10 when expressing any huge integers in scientific notation. For example:
500000 = 5 x 10⁵, where 5 is the positive exponent.
We use negative exponents for base 10 when expressing any small integers in scientific notation. For example:
0.00005 = 2 x 10⁻⁵, where -5 is the negative exponent.
Here we have
The number 1.23 x 10⁶
We need to write the given number without scientific notation
In the given number the exponent of 10 = 6 and positive
Then we need to move the decimal place 7 places to the right or multiply the given decimal number with 1000000
Therefore,
1.23 x 10⁶ = 1.23 × 1000000 = 12,30,000.
Hence,
The number 1.23 x 10⁶ without scientific notation is 12,30,000.
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in government data, a household consists of all occupants of a dwelling unit. choose an american household at random and count the number of people it contains. here is the assignment of probabilities for the outcome. the probability of finding 3 people in a household is the same as the probability of finding 4 people.
Answers
The probability that the household contains 3 people must be 0.16
The probability of finding 3 people in a household is the same as the probability of finding 4 people.
The probability = Number of favorable outcomes / Total number of outcomes
The probability is the occurrence of the random event. The value of the probability varies from 0 to 1
Therefore if we add all the probability together, the result will be one
Also The probability of finding 3 people in a household is the same as the probability of finding 4 people.
Consider the probability of finding 3 people = Probability of finding 4 people = x
Then the equation will be
0.25 + 0.32 + x + x + 0.07 + 0.03 + 0.01 = 1
Add the terms
0.68 + 2x = 1
2x = 1 - 0.68
2x = 0.32
x = 0.32 / 2
x = 0.16
Hence, the probability that the household contains 3 people must be 0.16
The complete question is:
In government data, a household consists of all occupants of a dwelling unit. choose an American household at random and count the number of people it contains. here is the assignment of probabilities for the outcome. the probability of finding 3 people in a household is the same as the probability of finding 4 people. what is the probability of finding 3 people in the household ?
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Without using a calculator, choose the statement that best describes the value of
Answers
Answer:
B
Step-by-step explanation:
Alright, to start off... we need to find a range of value that sqr 74 is between.
To do that, we can check by just trying some random numbers.
Let's try 8 -- 8^2 is 64. Let's try 9 -- 9^2 is 81. So the sqr 64 is 8 and sqr 81 is 9.
sqr 74 is between sqr 64 and sqr 81, so the statement is true. However, the multiple-choice has decimal numbers, meaning that they want us to be more specific.
First, we can cross out 9.5, because we don't want to expand our range, we want to keep it as accurate as possible.
That leaves us 8.5
To find if 8.5 fits the criteria, meaning that it can't be larger than sqr 74, we can use two methods.
The first method is preferred, you simply need to multiply them. I hope you know how to do that by hand. We get 72.25
The second method is less preferred but works. We need to approximate the value by finding the mean of 64 and 81, because 8.5 is the mean of 8 and 9. The approximate value should be very close to the true value. By doing (81+64)/2, we get 72.5
Now, double-check: is the 74 between 72.25 and 81? Yes, it is!
Hence, that gives us the answer that sqr74 is between 8.5 (sqr 72.25) and 9 (sqr 81)
What’s the unit rate for three dollars for 2 1/2 hours of work
Answers
The unit rate of three dollars for 2 1/2 hours of work is 1.2.
The rate is a ratio of change in one quantity with respect to other. The unit rate is a rate such that the denominator of the rate must be one. An item's unit rate is its rate for one of them. How many units of the first type of quantity are needed to make up one unit of the second type is expressed using a unit rate (or unit ratio).
Now, finding the unit rate for three dollars for 2 1/2 hours of work,
Unit rate [tex]=\frac{3}{2.5}[/tex]
= 1.2
Therefore, the unit rate of three dollars for 2 1/2 hours of work is 1.2.
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Of 350 solitaire games that Jay played, he won 154 times. What percent of the games did Jay win?
Please help
Answers
The percentage of games which Jay won is 44 percent.
What is Percentage?This is referred to as a number or ratio expressed as a fraction of 100 and is usually denoted as %.
Percentage is calculated by : parts/whole × 100.
In this scenario we can deduce that the part is 154 while the whole is 350. Therefore: 154/350 × 100 = 44 percent.
Hence the most appropriate choice is 44 percent.
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Which is an equation of the line that passes through the points (0, 0) and (1,
4)?
y = x + 1
y = 4x + 1
y = x
y = 4x
Answers
slope = m = (4 - 0) / (1 - 0) = 4
y = mx + b
y = 4x + b
substitute (0, 0) to find b
b = 0
y = 4x
Marc has $256 to spend on coins for his collection. He buys the first coin for $8.
If he pays twice as much for each coin as he paid for the previous coin, how many coins can he buy in all?
OA. 7
OB. 6
O C. 5
OD. 4
Answers
Answer:
Option C: 5
Step-by-step explanation:
1st coin = $8
2nd coin = $16
3rd coin = $32
4th coin = $64
5th coin = $128
Total spent = $248
Rewrite the following equation in slope-intercept form.
y + 6 = 9(x − 8)
Write your answer using integers, proper fractions, and improper fractions in simplest form.
Answers
Answer:
y = 9x -78
Step-by-step explanation:
You want the equation y + 6 = 9(x − 8) written in slope-intercept form.
SolutionSolve for y and simplify.
y +6 = 9x -72 . . . . . . . . eliminate parentheses
y = 9x -78 . . . . . . . . . subtract 6
__
Additional comment
The given equation is written in point-slope form. It has a slope of 9 and goes through the point (8, -6).
Slope-intercept form is ...
y = mx +b
where m is the slope and b is the y-intercept.
What are the solutions to the following system?
StartLayout Enlarged left-brace 1st row negative 2 x squared + y = negative 5 2nd row y = negative 3 x squared + 5 EndLayout
Answers
The given system of equations has solutions (-2, -1) and (-2, -1) respectively.
Solving system of equationsCalculating the unknown variables while keeping the equations balanced on both sides is the process of solving a system of equations.
Finding the value of the variable that makes the condition of all the given equations true is how we solve an equation system.
Given the system of equation below:
-2x² + y = -5
y = -3x² +5
Substitute equation 2 into 1 to have:
-2x² + (-3x+5) = -5
-2x²-3x² +5 = -5
-2x²-3x² +10=0
-5x² = -10
x² = 10/5
x² = 2
x = ±√2
If x = -√2
y = -3x² +5
y = -3(2) + 5
y = -1
If x = √2
y = -3x² +5
y = -3(2) + 5
y = -1
Hence the solutions to the given system of equations are (-√2, -1) and (√2, -1).
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Statement Let V be any vector space and let x, y, z be in V. Prove that if x + z = y + z, then x = y. Proof Suppose for full generality that V is any vector space and x, y, z are any vectors in V. Suppose x+z= y + z. Show that x = y. Since z is in V, there exists a vector —z in V such that z+(-2) = 0 because implies Thus, x +z = y + z (x + 2) + (-2) = (y + 2) + (-2) and thus x+(2+(-2)) = y + (z + (-2)) because X+0 = y + 0 because and thus X = y by properties of the zero vector. Therefore, x +z = y + z implies x = y, and V has the cancellation property
Answers
By the zero vector property x=y.
Suppose for full generality that V is any vector space and x,y,z is any vector in V. Suppose, x+z = y+z. Show that x=y. Since z is in v, there exists a vector z in v, such that
= z + (-z) = 0, because x+y=y+z
Thus x+z=y+z
= (x+z)+(-z) = (y+z)+(-z) and thus
= x+(z+(-z)) = y + (z+(-z)) because addition is associative in vector
= x+0 = y+0 because additive inverse exists in a vector
= and thus x=y by the properties of zero vector
Also according to the question, it is now proved that x+z=y+z implies x=y and v has the cancellation property.
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A container releases fuel at a rate of 5 gallons per second. If y represents the amount of fuel remaining in the container and x represents the number of seconds that have passed since the fuel started dispensing, then x and y satisfy a linear relationship. If the tank begins with 103 gallons, how many gallons will remain after 2 seconds?
Answers
By evaluating a linear equation, we will see that after two seconds there are 93 gallons of fuel.
How many gallons will remain after two seconds?We know that the tank initially has 103 galons of fuel, and we know that it releases 5 gallons per second at a constant rate.
So, after x seconds, the amount of fuel inside the container is:
F(x) = 103 - x*5
so we have a linear equation.
The amount of fuel in the tank after 2 seconds is given by:
F(2)= 103 - 2*5 = 103 - 10 = 93
After 2 seconds there are 93 gallons of fuel.
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Local stores have donated 30 packets of flower seeds and 105 packets
of vegetable seeds. Carter wants to know what portion of the seeds are
flower seeds. Write a fraction to represent the ratio of flower seeds to the
total amount of seeds. Then, write the fraction as a decimal number.
Answers
The ratio of flower seeds to the total amount of seeds is 2/7 = 0.2857.
What is meant by GCF?The greatest common divisor of two or more numbers that are not all equal to zero is the largest positive integer that divides each of the integers. This term is used in mathematics. The symbol represents the two integers x and y's greatest common factor. The GCF of two or more numbers is the greatest number among all the common factors of the given numbers.
Given that,
The local stores have donated 30 packets of flower seeds and 105 packets of vegetable seeds.
30/105
We have to find the GCF of 30 and 105=15
30/15=2
105/15=7
So, the answer is 2/7
The ratio of flower seeds to the total amount of seeds is 2/7.
By converting fractions as a decimal number we get,
2/7=0.2857
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(b) Let m be the number of minutes it takes for the two
towers to contain the same number of gallons. Set
up and solve an equation for m.
Answers
Answer:
y = mx + b
PLEASE GIVE BRAINLIEST THANK YOU!!!
Create an equivalent expression for (1.3 3/1.2 4)-6
1.2²4/1.3 18
1.2²/ 1.3 3
1.3 18/ 1.2 24
1.3 3 / 1.2²
Answers
The equivalent expression of [(1.3^3)/(1.2^4)]^-6 is (1.2^[24])/(1.3^[18]). So option(1) is correct.
Equivalent expressions are expressions that work the same way despite their appearance. When we plug in the same value(s) for the variable, two algebraic expressions have the same value (s).
Equivalent means that different terms and expressions with similar values are considered equal in mathematical form.
The given expression is
[(1.3^3)/(1.2^4)]^-6
Apply the indices power law to the above expression.
[(1.2^4)/(1.3^3)]^6
The exponents are then expanded using the power law of indices.
(1.2^[4x6])/(1.3^[3x6])
(1.2^[24])/(1.3^[18])
Hence, the equivalent expression of [(1.3^3)/(1.2^4)]^-6 is (1.2^[24])/(1.3^[18])
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least common
Denominator of 7/2 &
3/10
Answers
Answer: 10
Step-by-step explanation: The least common denominator is 10 because both integers 2 and 10 have a LCM OF 10. Your welcome. :’j
Answer: 10
Step-by-step explanation: The least common denominator is 10, cuz it is the lowest common multiple of 10 and 2, 2 × 5 =10, 10× 1 = 10. they r both common multiples.
I really need help on this question to so here’s a
A total of 123 fifth grade students are going to Fort Verde State historic Park. Each bus host 38 students all of the bus harmful except one. How many students will be in the bus that is not full.
Whoever is going to be answering this question, please give me a valid answer and show your work
Answers
Answer: 9 students will be on a bus that is not full
Step-by-step explanation:
123/38 = 3.23684210526 = 3 bus that is full.
38 x 3 = 114, 123 - 114 = 9
So, 9 students will be on a bus that is not full while the other 3 bus will be full of students.
Answer:
there will be nine students in the bus that is not full.
Step-by-step explanation:
if each bus holds 38 in your first bus you have 38 and then there are 85 students left so in the second bus there are also 38 and you should have 47 students left that need to go in a bus so then again in bus 3 there are also 38 which means in the fourth/last bus there are only 9 students left
Solve
n=5(m^2+D)
(It's a literal equation)
Answers
Step-by-step explanation:
are you sure there is no other given info? do you have to solve in terms of m and D?
For what values of x and y are the triangles congruent by HL?
Answers
Answer:
Step-by-step explanation:
4x maybe
Help me with this problem 16 point s
Answers
The difference is 4[tex]x^{2}[/tex] - 14x - 4
Given,
In the question:
To find the difference:
The difference of [tex]2x^2-9x+8[/tex] subtract from [tex]6x^2 -5x-12[/tex] .
Now, According to the question:
Based on the given condition:
Formulate:
[tex]6x^2 -5x-12[/tex] - [tex]2x^2-9x+8[/tex]
Simplify and expand:
[tex]6x^2 -5x-12[/tex] - [tex]2x^2-9x+8[/tex]
Reorder and gather like terms:
[tex](6x^2-2x^2)[/tex] + (-5x - 9x) + (-12 + 8)
Collect coefficient of like terms
(6 - 2)[tex]x^{2}[/tex] + (-5 -9)x + (-12 + 8)
Calculate the sum or difference:
4[tex]x^{2}[/tex] - 14x - 4
Hence, The difference is 4[tex]x^{2}[/tex] - 14x - 4 .
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The relative frequency table describes the relationship between students who completed an exam review and their performance on the exam
Passed exam Did not pass exam Row Totals
Completed exam review
55%
10%
65%
Did not complete exam review
20%
15%
35%
Column Totals
75%
25%
100%
Part A: What is the percentage of students who completed the exam review, given that they passed the exam? Round to the nearest percentage. (2 points)
Part B: What is the percentage of students who completed the exam review, given that they failed the exam? Round to the nearest percentage (2 points)
Part C: Is there an association between completing the exam review and passing the exam? Justify your answer. (2 points)
Answers
From the given relative frequency table , answer of the following questions are as follow:
a. Percentage of students those who have completed the exam review with the condition that they have passed the exam is given by 55%.
b. Percentage of students those who have completed the exam review with the condition that they have failed the exam is given by 10%.
c. Yes, there is association between the two completing the exam review and passing the exam is only 55%.
As given in the question,
From the given relative frequency table , answer of the following questions are as follow:
Total percentage of students completing the exam review = 65%
a. Completed the exam review with the condition that they have passed the exam = 55%
b. Completed the exam review with the condition that they have failed the exam = 10%
c. Yes, there is association between the two completing the exam review and passing the exam is only 55% and those who have completing the exam review but failed are 10%.
Therefore, from the given relative frequency table , answer of the following questions are as follow:
a. Percentage of students those who have completed the exam review with the condition that they have passed the exam is given by 55%.
b. Percentage of students those who have completed the exam review with the condition that they have failed the exam is given by 10%.
c. Yes, there is association between the two completing the exam review and passing the exam is only 55%.
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Select all the values (d, n) that could be solutions to the equation.
(118,209)
(172,101)
(233,21)
(0.50,435)
(0,445)
Diego is collecting dimes and nickels in a jar. He has collected $22.25 so far. The relationship between the numbers of dimes and nickels, and the amount of money
in dollars is represented by the equation 0.10d+0.05n = 22.25.
Answers
The values (d,n) that will be the solution of the equation are
A. (0,445)
D.(118,209)
E.(172,101)
The equation that we have in this problem is:
0.10d+0.05n=22.25
here
d is the number of dimes
n is the number of nickels
Diego collected a total of $22.25 and put it in the jar.
Simply substitute each pair (d,n) into the left term of the equation and see if the answer is 22.25 to determine which values can be the equation's solutions.
Now,
A. (0,445)
0.10d+0.05n=22.25
0.10(0)+0.05(445)=22.25
22.25=22.25
Yes, The point satisfy the condition.
B. (0.50,435)
0.10d+0.05n=22.25
0.10(0.50)+0.05(435)=22.25
21.08≠22.25
No, The point does not satisfy the condition.
C. (233,21)
0.10d+0.05n=22.25
0.10(233)+0.05(21)=22.25
24.35≠22.25
No, The point does not satisfy the condition.
D.(118,209)
0.10d+0.05n=22.25
0.10(118)+0.05(209)=22.25
22.25=22.25
Yes, The point satisfy the condition.
E.(172,101)
0.10d+0.05n=22.25
0.10(172)+0.05(101)=22.25
22.25=22.25
Yes, The point satisfy the condition.
Therefore, The values (d,n) that will be the solution of the equation are
A. (0,445)
D.(118,209)
E.(172,101)
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If the sale of jacket is 160 what is the original price before the 80 percent
Answers
−4 1/5x=1.44
Enter your answer as a mixed number in simplest form in the box.
x =
Answers
The value of x in the given equation is x = -12/35
Determining the value of x in an equationFrom the question, we are to solve the given linear equation.
The given linear equation is
-4 1/5x = 1.44
To solve the given equation, we will determine the value of x in the equation.
First, we will convert 4 1/5 to an improper fraction
-4 1/5 = -21/5
Also,
We will convert 1.44 to a fraction
1.44 = 144/100 = 36/25
Now,
-21/5(x) = 36/25
-21(x) × 25 = 36 × 5
x = (36 × 5) / (-21 × 25)
x = -180/525
x = -12/35
Hence, the value of x is x = -12/35
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Find the value of 8y +3 given that -11y-9=2. Simplify your answer as much as possible.
Answers
Answer:
-5
Step-by-step explanation:
We need to find the value of y to find the value of 8y + 3. So,
-11y - 9 = 2
Add 9 on both sides
-11y = 11
Divide 11 by -11
y = -1
Step 2:
8 x -1 + 3
-8 + 3
-5
So the value of 8y + 3 is -5
is a stockbroker. earns 12% commission each week. Last week, sold 7200$ worth of stocks. How much did make last week in commission? If averages that same amount each week, how much did make in commission in 2011?
Answers
The amount earned as commission in 2011 is $44928
How to determine the amount earned as commission?From the question, we have the following parameters that can be used in our computation:
Commission percentage = 12%
Average sales per week = $7200
The amount earned as commission in the 2011 is then calculated as
Amount = Commission percentage x Average sales per week x Number of weeks
Substitute the known values in the above equation
So, we have
Amount = 12% x 7200 x 52
Evaluate
Amount = 44928
Hence, the commission amount is $44928
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i will mark brainliest pls help it was due last week
Answers
Answer:
[tex]y=\frac{1}{2}x-5[/tex]
B: smaller rate of change but night y intercept
Step-by-step explanation:
y intercept is -5 because when x is zero y is -5
Now to find slope
-1-(-3)/8-4
-1+3/4
2/4
1/2
Now we can put it in an equation
y=1/2x-5
2nd question
-6-4/0-2
-10/-2
5
-6 is greater then -10 so the y intercept is bigger
So B is correct
Answer: i'm writeing this so you can mark the other person brainliest
Step-by-step explanation:
Find the unit vector in the direction of < 5, −7 >
Answers
The vector <5√74 / 74, - 7√74 / 74> is the unit vector in the direction of <5, - 7>.
How to determine the unit vector in the direction of a given vector
Vectors are described by two features: (i) magnitude, (ii) direction. The magnitude is the quantity associated with a vector and determine by Pythagorean theorem, and the direction indicates the "distribution" of the magnitude along the ortogonal axes of the vector. Unit vectors are vectors of magnitude 1 and we can determine it by using the following definition:
[tex]\vec u[/tex] = <x, y> / ||<x, y>||
Where ||<x, y>|| = √(x² + y²)
Please notice that [tex]\vec u[/tex] represents the unit vector.
If we know that <x, y> = <5, - 7>, then the unit vector is:
Magnitude
||<x, y>|| = √[5² + (- 7)²]
||<x, y>|| = √74
Unit vector
[tex]\vec u[/tex] = <5, - 7> / √74
[tex]\vec u[/tex] = <5 / √74, - 7 / √74>
[tex]\vec u[/tex] = <5√74 / 74, - 7√74 / 74>
<5√74 / 74, - 7√74 / 74> is the unit vector in the direction of <5, - 7>.
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In the first week of July, a record 1,040 people went to the local swimming pool. In the second week, 110 fewer people went to the pool than in the first week. In the third week, 130 more people went to the pool than in the second week. In the fourth week, 332 fewer people went to the pool than in the third week. What is the percent decrease in the number of people who went to the pool over these four weeks?
Answers
Answer:
ok
Step-by-step explanation: