Answers
A fraction is a way to describe a part of a whole. The value of x is 6.
What is a Fraction?A fraction is a way to describe a part of a whole. such as the fraction ¼ can be described as 0.25.
The value of x can be written as,
[tex]\dfrac{1}{1+\dfrac{1}{1+\dfrac{1}{x}}} = \dfrac{7}{13}\\\\\\\dfrac{1}{1+\dfrac{1}{\dfrac{x+1}{x}}} = \dfrac{7}{13}\\\\\\\dfrac{1}{1+\dfrac{x}{x+1}} = \dfrac{7}{13}\\\\\\\dfrac{1}{\dfrac{x+1+x}{x+1}}= \dfrac{7}{13}\\\\\\\dfrac{x+1}{x+1+x}= \dfrac{7}{13}\\\\[/tex]
13x + 13 = 7x + 7 + 7x
13x + 13 = 14x + 7
x = 6
Hence, the value of x is 6.
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Related Questions
The two-way table of column relative frequencies below summarizes survey data on who a person's role model is and their highest level of education.
Based on the data, which of the following statements must be true of the people surveyed?
A) A person whose role model is a family member is less likely to have an advanced degree than a person whose role model is a friend or acquaintance.
B)
A person whose role model is a stranger is more likely to have high school than some college as their highest level of education.
C) A person whose highest level of education is a bachelor's degree is more likely to have a family member than a stranger as a role model.
D) A person whose highest level of education is less than high school is more likely to have a stranger than a friend or acquaintance as a role model.
Answers
Based on the data, the true statement about the people surveyed is: option B.
What is a two-way frequency table?A two-way frequency table is a table that's used to graphically the represent frequencies or relative frequencies that are associated with two categorical variables such as role model and level of education.
By critically observing the data provided in this two-way frequency table, we can infer and logically deduce that a person whose role model is a stranger is more likely to have high school (0.4 or 40&) than some college as their highest level of education.
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Answer:
B
Step-by-step explanation:
14%start color #11accd, 14, percent, end color #11accd of the people whose role model is a family member have an advanced degree, but only \maroonD{12\%}12%start color #ca337c, 12, percent, end color #ca337c of people whose role model is a friend or acquaintance have an advanced degree.
This statement is false.
40%start color #1fab54, 40, percent, end color #1fab54 of people who role model is a stranger have high school as their highest level of education, while only \purpleC{23\%}23%start color #aa87ff, 23, percent, end color #aa87ff have some college as their highest level.
This statement is true.
We only know the column relative frequencies, not the row relative frequencies, so we cannot make this claim.
If there were an equal number of people with family members and strangers as role models, then the statement would be true. However, suppose this data came from a sample where 100100100 people have a family member as a role model and 400400400 people have a stranger as a role model.
Family member: 0.23(100)=230.23(100)=230, point, 23, left parenthesis, 100, right parenthesis, equals, 23 would have a bachelor's degree as their highest level of education
Stranger: 0.14(400)=560.14(400)=560, point, 14, left parenthesis, 400, right parenthesis, equals, 56 would have a bachelor's degree as their highest level of education
Without knowing the total number of people in each group, or the row relative frequencies, we can't say this statement is true.
We only know the column relative frequencies, not the row relative frequencies, so we cannot make this claim.
If there were an equal number of people with friends or acquaintances and strangers as role models, then the statement would be true. However, suppose this data came from a sample where 400400400 people have a friend or acquaintance as a role model and 200200200 people have a stranger as a role model.
Friend or acquaintance: 0.12(400)=480.12(400)=480, point, 12, left parenthesis, 400, right parenthesis, equals, 48 would have finished less than high school
Stranger: 0.19(200)=380.19(200)=380, point, 19, left parenthesis, 200, right parenthesis, equals, 38 would have finished less than high school
Without knowing the total number of people in each group, or the row relative frequencies, we can't say this statement is true.
Based on this data, the statement which must be true is, "A person whose role model is a stranger is more likely to have high school than some college as their highest level of education. "
PLEASE HELP! I WILL MARK BRAINLIEST! Which type of lines is shown in the illustration above?
A. parallel lines
B. perpendicular lines
C. skew lines
D. intersecting lines
Answers
Answer:
D. Intersecting lines.
Step-by-step explanation:
The lines are intersecting each other.
The reason it is not perpendicular lines is because perpendicular lines have 90° angles.
Hope this helps!
If not, I am sorry.
Evaluate.
4^3 + 8^2 = ??
Answers
Answer: 128
Step-by-step explanation:
[tex]4^3 = 4*4*4 = 16*4 = 64[/tex]
[tex]8^2 = 8*8 = 64[/tex]
[tex]64+64 = 128[/tex]
Answer: 128
Simplify 4^3 to 64.
64 + 8^2
Simplify 8^2 to 64.
64 + 64
Simplify.
128
You are asked to create a new computer password made up of 4 digits followed
by 3 letters.
Determine how many different computer passwords are possible if digits and
letters cannot be repeated.
Answers
Answer:if we start with 26 letters in the English/Latin alphabet: 26*25*24*23*
and modern Arabic numerals 0–9,
10*9 do the math by multiplying all
Number of dispositions of 4 letters without repetitions of the alphabet (26 letters): 26*25*24*23=358800. 2-digit numbers without repetitions:10*9=90. Number of passwords with 4 letters and 2-digit number without repetitions:
a) if the 2-digit numbers must be in one single position (examples:….XB73DY……..GZ57FE): 358800*90 = 32,292,000.
b) if the 2-digit numbers can be in each of the 5 possible positions (ex.:…73XBDY…X73BDY..XB73DY..XBD73Y..XBDY73…) 5*358800*90=161,460,000.
c) if both digits can be in (C6;2) = 6*5/2= 15 positions (ex.: 7XB3DY…X73BDY…..) 15*358800*90=484,380,000.26*25*24*23*10*9 = 32,292,000
Step-by-step explanation:
Help please, can someone answer.
Answers
Answer:
QA) C = 31.4 cm, A = 78.5 cm^2
QB) 36 cm
Step-by-step explanation:
Question A
Circumference formula: 2πr
2π(5) = 31.4 cm
Area formula: πr^2
π(5)^2 = π(25) = 78.5 cm^2
Question B
If you extend the line of the shape to create a quadrilateral and a triangle, you can use the pythagorean theorem to figure out the last length.
9 - 6 = 3
10 - 6 = 4
The lengths of side a and b are 3 and 4, we need to find the length of the hypotenuse
a^2 + b^2 = c^2
3^2 + 4^2 = c^2
9 + 16 = c^2
25 = c^2
5 = c
Now we can combine this number with the rest of the given lengths
10 + 9 + 6 + 6 + 5 = 36 cm
Triangle △ABC is reflected across line n to create △ A'B'C', What is the measure of ∠C?
Answers
The measure of ∠C is 54°.
To solve the problem :let us assume that line n is a mirror.
∴ ∠A = ∠A' = 59°
∠B = ∠B' = 67°
∠C = ∠C'
According to property of triangles :
Sum of all angles of a triangle is 180°.
∴ A + B + C = 180°
59 + 67 + C = 180
C = [tex]180 - (59 +67)[/tex]
C = 54°
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Answer:
54 degrees
Step-by-step explanation:
Line segment KL is tangent to circle J at point K.
Circle J is shown. Line segment J K is a radius with length r. Line segment K L is a tangent with length 24 and it intersects the circle at point K. A line is drawn from point L to point J and goes through a point on the circle. The length from point L to the point on the circle is 16. The length from the point on the circle to center point J is r.
What is the length of the radius, r?
8 units
10 units
12 units
16 units
Answers
Using the tangent theorem, the length of the radius is: B. 10 units.
What is the Tangent Theorem?According to the tangent theorem, since KL is tangent to the circle, therefore, angle JKL = 90°.
Since the triangle is a right triangle, apply the Pythagorean theorem:
(r+16)² = r² + 24²
r² + 32r + 256 = r² + 576
r² - r² + 32r + 256 = 576
32r + 256 = 576
32r = 576 - 256
32r = 320
r = 320/32
r = 10
The radius is: B. 10 units.
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Answer:
B. 10 Units
Step-by-step explanation:
5 m
2m
6 m
2 m
Mrs Phillips is going to cover the floor with floor boards.
One pack of floor boards will cover 2.5 m².
How many packs of floor boards does she need?
You must show your working.
Diagram NOT
accurately drawn
Answers
Mrs. Phillips needs to buy 8 packs of floor boards
In contrast to a square, a rectangle is a planar figure having four equal neighboring sides, four straight sides, and four right angles. An enclosed 2-D form called a rectangle has four sides, four corners, and four right angles (90°). A rectangle has equal and parallel opposing sides. A rectangle has two dimensions—length and width—because it is a two-dimensional form. The rectangle's longer side is its length, while its shorter side is its breadth.
As per the figure attached Mrs. Phillips floor plan can divided into two rectangles
The area of rectangle is as follow:
Area = length(l) x Width(w)
Area of part 1 will be:
A = 6 x 2 = 12 m²
Area of part 2 will be :
a = 3 x 2 = 6 m²
Total area of floor = A + a
Total area of floor = 12 + 6
Total area of floor = 18 m²
Given one pack of floor boards will cover 2.5 m².
So total pack of floor block needed will be as follow:
Total pack of floor block = Total area of floor/Area covered by one pack of floor boards
Total pack of floor block = 18/2.5
Total pack of floor block = 7.2 packs ≈ 8 packs
Hence Mrs. Phillips needs to buy 8 packs of floor boards
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Let x be normal distribution with mean 70 and standard deviation 2. given the following probability, p (x < a) = 0.9147, find the value a.
Answers
The value of a is 72.74.
What is Probability ?Probability is the study of likeliness of an event to happen.
It is given that
The mean [tex]\rm \mu[/tex] of the distribution is 70
Standard deviation [tex]\rm \sigma[/tex] is 2
p( x<a) = 0.9147
a = ?
From Z table
For p ( p < 0.9147) , z = 1.37
[tex]\rm Z = \dfrac { X - \mu}{ \sigma}[/tex]
[tex]\rm \rm 1.37 = \dfrac { a - 70}{ 2}[/tex]
a = 70+ 2*1.37
a = 72.74
Therefore the value of a is 72.74.
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X^2 - 10x - 20 = 0, which number would have to be added to "complete the square"?
Answers
Answer:
45
Step-by-step explanation:
When you're completing the square you're adding (b/2)^2 which in this case is (-5)^2 or 25. This is because when you rewrite it as a square binomial you write it in the form (x+(b/2))^2 which is going to result in x^2+b+(b/2)^2. Since you need to reach 25 you need to add 45 since the last value is at -20.
Answer:
25 to both sides
Step-by-step explanation:
Group x² and x terms
(x² - 10x ) - 20
complete the square
(x² - 10x +25 ) -20 -25
(x-5)² -45
Henry leads a team of hikers for a full-day hike that takes 8 hours. Every hour, the hikers gain 250 feet in elevation. • The independent variable is ____, ________ in ________. • The dependent variable is _____, increased elevation in feet, or __________. A possible verbal description is “____ equals 250 times ____.” The equation ______ = ___________ corresponds to this relationship.
Answers
The missing blanks have been filled.
What is a Function ?A function is a mathematical statement used to relate a dependent and an independent variable.
It is given that
Total time taken to hike is 8 hours
Let the time taken in hours is represented by t
and the elevation is represented by h
Every hour, the hikers gain 250 feet in elevation.
The independent variable is t , time taken to hike , in hours .
The dependent variable is h , increased elevation in feet or elevation the hikers have gained .
A possible verbal description is Elevation at any given time equals 250 times the time taken to hike.
The equation h = 250 t corresponds to the relationship.
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If sin(theta) = 4/7, what is cos(theta)? PLEASE HELP!
Answers
Step-by-step explanation:
sin(theta)=4/7
cos(theta)=√1-sin²theta
=√1-(4/7)²
=√1-16/49
=√(49-16)/49
= √33/49
=(√33)/7
13. When the cost of fuel rose by 10%, Albert decreased his fuel consumption by 10%. Albert claimed that there was no change in his expenditure on fuel consumption. Explain if Albert is right or wrong.
Answers
Answer:
Wrong
Step-by-step explanation:
Let cost of Albert's fuel be x.
When cost of fuel rises by 10% :
x (1 + 10%)x (1 + 0.1)1.1xWhen consumption is reduced by 10% :
1.1x (1 - 10%)1.1x (1 - 0.1)1.1x (0.9)0.99xSo clearly there is a 1% change in expenditure. Hence, Albert's claim is wrong.
Answer:
Albert is wrong -- explanation below
Step-by-step explanation:
Albert's expenditure "C" on fuel at any point in time is the product of the unit price, "p", and the amount of fuel purchased, "n".
In an equation form, [tex]C=pn[/tex].
Looking at some time before the changes, let's denote the unit price, the amount of fuel, and the expenditure with subscripts "1" to denote specific values at time 1, before the changes.
[tex]C_1 = p_1 n_1[/tex]
After the changes, note that p1 increased by 10%, and amount of fuel decreased by 10%.
Understanding changing percentages
For values that stay the same, we would multiply by 100% (or 1.00), since multiplying by 1 doesn't change the value.
For a 10% increase, we need 100%+10% which equals 110% or 1.10
For a 10% decrease, we need 100%-10% which equals 90% or 0.90
So, the new prices and amounts and costs at some later time, time 2, are given by [tex]C_2 = p_2 n_2[/tex], where [tex]p_2 = 1.10p_1[/tex] and [tex]n_2 = 0.90n_1[/tex].
Substituting:
[tex]C_2 = p_2 n_2[/tex]
[tex]C_2 = (1.10p_1) (0.90n_1)[/tex]
[tex]C_2 = 0.99 p_1 n_1[/tex]
But remember that [tex]C_1 = p_1 n_1[/tex], so
[tex]C_2 = 0.99 C_1[/tex]
In other words, the next expenditure is 99% as much as (or 1% less than) the old expenditure.
Thus, Albert is incorrect to state that there was NO change in his expenditure.
I have to get this done bc its the last day of school fm. So please help me :)))
Answers
Answer: it is the median
Step-by-step explanation:
Answer:
it is the Mode,Median,and Mean.
Step-by-step explanation:
There are ALWAYS three measures of the “center"
Evaluate if: A= -3 , B= -4, and c= 2/3
1. ABC - 15
2. B/C-|A|
(Pic included, must show work asap!)
Answers
Answer:
please mark me as brainlest
copy machine can make 250 copies in 4 minutes. Represent
rate of change in copies per minute.
Answers
Answer:
62.5 copies per minute
Step-by-step explanation:
Note that the word "per" means divide. So, a rate of change in "copies per minute", means a number of copies divided by a number of minutes
If the copy machine can make 250 copies in 4 minutes, then the number of copies is 250 copies, and the number of minutes is 4 minutes:
[tex]\text{rate of change in copies per minute}=\dfrac{\text{number of copies}}{\text{number of minutes}}[/tex]
[tex]\text{rate of change in copies per minute}=\dfrac{\text{250 copies}}{\text{4 minutes}}[/tex]
[tex]\text{rate of change in copies per minute}=62.5\dfrac{\text{copies}}{\text{minute}}[/tex]
A survey of 100 high school students provided this
frequency table on how students get to school:
Drive to Take the
Grade
Walk
School
bus
Sophomore
2
25
3
Junior
13
20
2
Senior
25
5
5
What is the probability that a randomly selected student
is a junior?
?
P (Junior)
=
Answers
Answer:
35/100
Step-by-step explanation:
You have to find how many juniors there are, so if you add 13, 20, and 2 you get 35. For the denominator you have to find the total number of students, so just add all of the numbers together to get 100. So there is a 35/100 chance that a randomly selected student is a junior.
Answer: 7/20
Step-by-step explanation:
Which expression is equivalent to 16³?
2⁷
2¹¹
2¹²
2⁶⁴
Answers
Answer:
2^12
Step-by-step explanation:
16^3 can be rewritten as (2^4)^3 which can then be rewritten as 2^12 by multiplying the exponents
Can someone help with this q u e s t i o n p l e a s e
Answers
Rewrite the polynomial in the form ax² + bx+c and then identify the values of a,
b, and c.
x
6
4x² +1
Answers
A seal went 15 feet below sea level to catch a fish. A sea lion dove 6 feet less than two times as deep as the seal to catch a larger fish. What expression represents the sea lion’s position in relation to sea level?
Answers
Answer:
The sea lion dives 24 feet.
Step-by-step explanation:
A seal (S) dives 15 feet.
A sea lion (SL) dives 6 feet less than 2 times the seal's dive. That can be expressed as:
SL = 2S -6
Since we know S = 15, we can say:
SL = 2*(15) - 6
SL = 24 feet
The sea lion dives 24 feet.
The center of a circle is at the origin on a coordinate grid. A line with a positive slope intersects the circle at (0, 7). Which statement must be true?
Answers
The true statement is the circle has the radius equal to 7.
What is Equation of circle?The general equation for a circle is (x-h)² + (y-k)² = r², where ( h, k ) is the center and r is the radius.
As, standard form of equation of circle is
(x-h)² + (y-k)² = r²
At origin, equation of circle will be
(0-h)² + (0-k)² = r²
r² = x² + y²
Now, The line intersects the circle at (0,7)
r² = 0² + 7²
r² =49
r=7.
Hence, the circle has the radius equal to 7.
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PLEASE HURRY
Which of the following can be used to evaluate the series
e d g e
Answers
Answer:
1 55
2 455
3554
Step-by-step explanation:
nfn
Joe kept track of how much TV she watched each day for two weeks how many hours did she spend watching TV
Answers
The total hours joe spent watching TV each day for two weeks is 12 1/2 hours
Total hours spent watching TVTotal hours spent watching TV for two weeks = Number of hours × days
= (0 × 1) + (1/4 × 1) + (1/2 × 1) + (3/4 × 3) + (1 × 3) + (1 1/4 × 4) + (1 1/2 × 1)
= 0 + 1/4 + 1/2 + 9/4 + 3 + 5 + 3/2
= 8 + (1+2+9+6) / 4
= 8 + 18/4
= 8 + 4 2/4
= 8 + 4 1/2
= 12 1/2 hours
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Convert 0.50 sen /g to RM/kg
Answers
the conversion is:
0.50 sen /g = 5 RM/kg
How to change the units?
First, we know that
1sen = 0.01RM
Then we can change:
0.50 sen /g = 0.50*(0.01 RM) /g = 0.005 RM/g
Now we use the relation:
1g = 0.001kg
So we can rewrite:
0.005 RM/g = 0.005 RM/(0.001kg) = 5 RM/kg
So the conversion is:
0.50 sen /g = 5 RM/kg
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What is the equation for the graph shown below?
Answers
Answer: D
Explanation:
Since we don't know the y-value of the vertex, let's do this an easy way: plugging in.
Let's use the y intercept since that would be the easiest. Since x=0, the terms with x cancel, and you will get a leading result of -5
A) results in 2, so eliminate it
B) results in -2, so eliminate it
C) results in 5, so eliminate it
D) results in -5, so keep it
Since D was the only one that worked, that is our correct answer.
ve questions from this section 18 A bus left Nairobi at 8.00am and traveled towards Busia at an average speed of 80km/hr. At 8.30 am a car left Busia for Nairobi at an average speed of 120km/hr. Given that the distance between Nairobi and Busia is 400km. ve questions from this section 18 A bus left Nairobi at 8.00am and traveled towards Busia at an average speed of 80km / hr . At 8.30 am a car left Busia for Nairobi at an average speed of 120km / hr . Given that the distance between Nairobi and Busia is 400km
Answers
The time that the bus arrived Busia is given as 1.00 pm
How to solve for the time of arrivalThe formula with which to solve for the time is given as
D/s = distance / by the speed.
Distance = 400km
Speed = 80km/hr
Time = 400/80
= 5 hours
Therefore the time of arrival from 8.00 am would be 1.00pm
Complete questionA bus left Nairobi at 8.00am and traveled towards Busia at an average speed of 80km / hr . At 8.30 am a car left Busia for Nairobi at an average speed of 120km / hr . Given that the distance between Nairobi and Busia is 400km
Calculate The time the car arrived in Busia
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Can someone please help me with this question?
Answers
The correct answer will be option D which is the value of D will be [tex]\left[\begin{array}{cc}-6&11&\\-5&9\\\end{array}\right][/tex]
What is the matrix?A matrix, which is used to represent a mathematical object or an attribute of one, is a rectangular array or table containing numbers, symbols, or expressions that are organized in rows and columns.
The value of D will be calculated by multiplying the matrix if we get a unit matrix that will be the answer.
[tex]=\left[\begin{array}{cc}-9&-11&\\5&-6\\\end{array}\right]\times \left[\begin{array}{cc}-6&11&\\-5&9\\\end{array}\right] \\\\\\=\left[\begin{array}{cc}(-54+55)&(99-99)&\\-(-30+30)&(55-54)\\\end{array}\right]\\\\\\=\left[\begin{array}{cc}1&0&\\0&1\\\end{array}\right][/tex]
Therefore the correct answer will be option D which is the value of D will be [tex]\left[\begin{array}{cc}-6&11&\\-5&9\\\end{array}\right][/tex]
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Help please I only have 10 minutes TT
Answers
1. 5:15 = 1/3
scale factor is 1/3going from bigger to smaller
2. 2/8 = 1/4
14 x 1/4 = 3.5
X = 3.5
Find the product of the given polynomials. (5x + 5 - 2x) (4 + 7x -1)
Answers
Answer:
21x2 +44x +15
Step-by-step explanation:
20x + 35x2 - 5x + 20 + 35x - 5 - 8x - 14x2 +2x
35x2-14x2 +20x-5x+35x-8x+2x +15
21x2 +44x +15
