The fraction of income spent on cleaning is 71/50.
What is fraction?A fraction is represented by the ratio in the form -
{x} : {y} = {x}/{y}
In terms of numbers, we can write -
2 : 3 = 2/3
Given is that 2/5 of the income of a community of neighbors they are used in fuel, 1/8 in electricity, 1/12 in garbage collection, 1/4 in maintenance of the building and the rest is used for cleaning.
Assume the fraction to be {x}. Then, we can write -
2/5 + 1/8 + 1/12 + 1/4 + x = 1
0.4 + 0.125 + 0.083 + 0.25 + x = 1
x = 0.142
x = 142/100
x = 71/50
Therefore, the fraction of income spent on cleaning is 71/50.
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{Question in english -
2/5 of the income of a community of neighbors
they are used in fuel; 1/8 in electricity, 1/12
in garbage collection, 1/4 in maintenance of the
building and the rest is used for cleaning.
What fraction of the income is spent on cleaning?}
please help me quickly
Answer:
68 people choose meat over pork
Step-by-step explanation:
subtract 17 from 85
Jeremy has $8 saved and earns $20 each week tutoring his cousin. Mary has $26 saved and earns $18 eacbb he week babysitting her sister. After how many weeks will Jeremy and Mary have the same amount of money saved?
After 1 week of tutoring and babysitting, Jeremy and Mary will have saved the same amount of money ($28).
Let's start by defining some variables:
Let's call the number of weeks Jeremy tutors his cousin "j".Let's call the number of weeks Mary babysits her sister "m".Let's call the amount of money Jeremy has saved after j weeks "J".Let's call the amount of money Mary has saved after m weeks "M".We can then use this information to set up two equations that represent how much money each person has saved:
J = 20j + 8
M = 18m + 26
We want to know when J and M are equal, so we can set these equations equal to each other:
20j + 8 = 18m + 26
We can simplify this equation by subtracting 8 from both sides:
20j = 18m + 18
Then, we can divide both sides by 2 to simplify the equation further:
10j = 9m + 9
We want to find the smallest values of j and m that make this equation true. We can start by trying j = 1 and then incrementing j until we find a value that makes the right-hand side of the equation (9m + 9) divisible by 10. We can then solve for m and check that the left-hand side of the equation (10j) is equal to the same value.
If we try j = 1, we get:
10(1) = 9m + 9
Simplifying this equation gives us:
m = 1
So, if Jeremy tutors his cousin for 1 week and Mary babysits her sister for 1 week, they will both have the same amount of money saved. We can check this by plugging j = 1 and m = 1 into the original equations for J and M:
J = 20j + 8 = 20(1) + 8 = 28
M = 18m + 26 = 18(1) + 26 = 44
So, after 1 week of tutoring and babysitting, Jeremy and Mary will have saved the same amount of money ($28).
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Points A,B, C and D lie on circle M. Line segment BD is a diameter. What is the measure of angle ACD?
The measure of angle ACD for the given circle is 67.5 degree.
What is inscribed triangle?A triangle is inside a circle when a circle encircles it, and each vertex of the triangle touches the circle.
When a circle encircles a triangle, the triangle lies outside the circle and the circle makes one point contact with each of the triangle's sides. The triangle's sides are perpendicular to the circle.
Given that,
The inscribed angle CDA = 1/2(arc AC).
arc AC = 90 degree.
Then:
∠ CDA = 90 / 2
∠ CDA = 45
Triangle ACD is isosceles, so:
∠ ACD + ∠ CAD + ∠ CDA = 180 degree
Here, ∠ ACD = ∠ CAD
∠ ACD + ∠ACD + ∠ CDA = 180 degree
∠ ACD = 180-45 / 2
∠ ACD = 67.5 degree
Hence, the measure of angle ACD for the given circle is 67.5 degree.
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The correct question is:
Points A, B, C, and D lie on circle M. Line segment BD is a diameter.
Triangle A C D is inscribed within circle M. Point B is on the circle between points C and B. A line is drawn to connect points D and B. Lines are drawn from points C and A to point M to form a right triangle. Arcs C D and A D are congruent.
What is the measure of angle ACD?
45.0°
67.5°
112.5°
135.0°
Help ASAP please. !!!!
Sophia is trying to pick out an outfit for the first day of school. She can choose from 2 pairs of pants, 2 t-shirts, and 4 pairs of shoes. How many different outfits does Sophia have to choose from?
The number of many different outfits Sophia has to choose from should be 16.
What is arithmetic?
Mathematical arithmetic is the study of the properties of the standard operations on numbers, such as addition, subtraction, multiplication, division, exponentiation, and root extraction.
Here, we have
Given: Sophia is trying to pick out an outfit for the first day of school. She can choose from 2 pairs of pants, 2 t-shirts, and 4 pairs of shoes.
She can choose from 2 pairs of pants, 2 t-shirts, and 4 pairs of shoes.
So here the number of distinct outfits should be like
= 2 × 4 × 2
= 16
Hence, the number of many different outfits Sophia has to choose from should be 16.
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Answer:16
Step-by-step explanation:Total outcomes
=
Total outcomes=
2‾
pants
×
2‾
t-shirts
×
4‾
shoes
pants
2
×
t-shirts
2
×
shoes
4
Fundamental counting principle
=
=
16
What shows the number of each type of greeting card at a gift shop had remaining at the end of the year the store created bags with 15 random cards in each bag how many complete bags of cards were they able to make
Using the unitary method, we find that the store created approximately 37 bags with 15 random cards in each bag.
This problem can be solved using the unitary method. It is given that the
number of Anniversary cards is 163,
number of Birthday cards is 258,
number of Get Well cards is 98
and the number of Thank you cards is 47
So, the total number of cards will be equal to the sum of all these cards, that is,
163+258+98+47
= 566 cards
To create bags of 15 random cards, we have to divide the total number of cards by 15 which gives,
566/15 = 37.734
Thereby, we can say that the store created approximately 37 bags with 15 random cards in each bag.
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this test is too confusing for me please help me
Answer: 54
Step-by-step explanation:
Tiffany is taking a 42-question test worth 100 points. The test includes two-point and four-point questions. How many of each type of question are on the test?
Which equations represent the scenario, where t represents the number of two-point questions and f represents the number of four-point questions? Check all that apply.
A. t + f = 42
B. t + f = 100
C. 2t + 4f = 42
D. 2t + 4f = 100
E. 4t + 2f = 100
it's A and D good luck
Answer:
A., D.
Step-by-step explanation:
Let t = number of two-point questions.
Let f = number of four-point question.
First we deal with the number of questions.
There are 42 questions. All the questions are either 2-point questions or 4-point questions.
t + f = 42
Now we deal with the number of points.
t two-point questions are worth 2t points.
f four-point questions are worth 4f points.
Altogether, they are worth 2t + 4f points.
The total number of points is 100, so
2t + 4f = 100
The system of equations has the equations:
t + f = 42
2t + 4f = 100
Answer: A., D.
Phillips company bought 40 percent ownership in jones bag company on january 1, 20x1, at underlying book value. During the period of january 1, 20x1, through december 31, 20x3, the market value of phillips' investment in jones' stock increased by $2,000 each year. In 20x1, 20x2, and 20x3, jones bag reported the following: Year Net Income Dividends
20X1 $ 8,000 $15,000 20X2 12,000 10,000 20X3 20,000 10,000 The balance in Phillips Company’s investment account on December 31, 20X3, was $54,000.
Required:
In each of the following independent cases, determine the amount that Phillips paid for its investment in Jones Bag stock assuming that Phillips accounted for its investment by carrying the investment at fair value, or using the equity method.
Fair value $
Equity method $
The initial investment cost using the equity method would be:
Investment account balance + Phillips' share of retained earnings = Initial investment cost = $54,000 + $10,400 = $64,400
Fair Value Method:
The cumulative increase in fair value over the three years would be:
$2,000 + $2,000 + $2,000 = $6,000
Therefore, the initial investment cost would be:
$54,000 - $6,000 = $48,000
Equity Method:
By the equity method, Phillips would have recorded its share of Jones Bag's earnings each year, as well as its share of dividends received. Phillips' share of Jones Bag's earnings and dividends would be based on its 40% ownership interest.
Phillips' share of Jones Bag's earnings and dividends would be as following:
Year Earnings Dividends
20X1 $3,200 $6,000
20X2 $4,800 $4,000
20X3 $8,000 $4,000
$40,000 - $14,000 = $26,000
Phillips' share of retained earnings would be 40% of $26,000, or $10,400.
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Bob bought 40 gumboils from a quarter machine. The number of each flavor he got is shown in the table. If there are 140 gumboils remaining in the machine. what is a reasonable prediction for the number of cola flavored gumboils left?
Answer: Is only definable if you can show the table but according to a valid explanation it would be most likely 41
Step-by-step explanation:
Lets say Bob has 17 strawberry, 19 Cola, and 4 blueberry, we can infer there is an equal amount of gumballs of each flavor in the machine; Before bob bought any gumballs there were 180 and if there were only 3 flavors we would divide 180 by 3 and get 60. That means each flavor has 60 of its own flavor and if we take 19 from the 60 cola flavored we can get 41.
The scale of a map says that 3 inches represents 4 miles. What distance on a map represents an actual distance of 9 miles?
Answer: 1.5 inches
Step-by-step explanation:
What does the point (7,84) represent in this situation?
The point (7,84) represents a precise location on a graph or coordinate plane.
A coordinate is a set of values that specifies the position or location of a point in a geometric space.
The point (7,84) represents a specific location on a graph or coordinate plane. The first number, 7, represents the point's position on the x-axis, which is a horizontal line that runs left to right. The second number, 84, represents the point's position on the y-axis, which is a vertical line that runs up and down. Together, the two numbers give us a precise location for the point.
In this situation, we don't have enough context to know what the point (7,84) represents. It could be the location of a city on a map, the amount of rainfall in inches on a specific day, or the price of a stock at a particular time. However, regardless of the situation, the point (7,84) is simply a specific location in a two-dimensional space that has been identified using coordinates.
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Complete Question:
What does the point (7,84) represent in the graph? And define the explanation for each value.
When did Chicago first exceed phoenix in the percentage of calls answers within 10 seconds?
The correct option regarding when Chicago first exceeded Phoenix in the percentage of calls answers within 10 seconds is given as follows:
C. Between September and October.
How to interpret the situation?The output of the graph represents the percentage of calls answered within 10 seconds.
Chicago and Phoenix are represented as follows:
Chicago: Green line.Phoenix: Red line.At the beginning of September, the red line was above the green line, but at the beginning of October, the green line was above the red line, hence the correct option is given by option C.
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The blood pressure in millimeters was measured for a large sample of people. The average pressure is 140 mm, and the SD of the measurements is 20 mm. The histogram looks reasonably like a normal curve. Use the normal curve to estimate the following percentages. Choose the answer that is closest to being correct.
a. 10.6%
b. 89.4%
c. 39.4%
d. 78.8%
e. 68.27%
Using the normal curve to estimate the following percentages. The answer that is closes to being correct is 39.4%. So, the correct answer is C.
Since the distribution is approximately normal, we can use the empirical rule (also known as the 68-95-99.7 rule) to estimate the percentages.
a. 10.6%: This corresponds to the area under the curve that is more than 2 standard deviations below the mean. Using the rule, we know that about 2.5% of the area under the curve is more than 2 standard deviations below the mean. So 10.6% is too high. The answer is not a.
b. 89.4%: This corresponds to the area under the curve that is less than one standard deviation above the mean. Using the rule, we know that about 68% of the area under the curve is within one standard deviation of the mean. So 89.4% is too high. The answer is not b.
c. 39.4%: This corresponds to the area under the curve that is within one standard deviation of the mean. Using the rule, we know that about 68% of the area under the curve is within one standard deviation of the mean. So 39.4% is the closest to being correct. The answer is c.
d. 78.8%: This corresponds to the area under the curve that is less than two standard deviations above the mean. Using the rule, we know that about 95% of the area under the curve is within two standard deviations of the mean. So 78.8% is too high. The answer is not d.
e. 68.27%: This corresponds to the area under the curve that is within one standard deviation of the mean. This is the same as c. So e is not the correct answer.
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Unit 6 test similar triangles
Can anyone solve these questions
Students should be able to solve problems related to similar triangles on the Unit 6 test.
What is triangles?Triangle is a 3×3 sided only going with three angles and three side it is one of the most basic fundamental safe in the geometry and is used in many different area of Mithun science triangle are also after used in the architecture art in other area of the designing triangle came in many other different form.
Unit 6 tests on similar triangles require students to apply the knowledge they have learned in geometry class in order to solve problems related to similar triangles. The main topics covered in this test are the various theorems and properties that apply to similar triangles.
The first theorem students should understand is the AA Theorem, which states that if two angles of one triangle are congruent to two angles of another triangle, then the two triangles are similar. This theorem can be used to solve problems that involve similar shapes.
The second theorem students should understand is the SAS Theorem, which states that if two sides of one triangle are proportional to two sides of another triangle, and the included angle between those two sides is the same, then the two triangles are similar. This theorem can be used to solve problems in which two triangles have the same angles and sides that are in proportion to one another.
The third theorem students should understand is the SSS Theorem, which states that if three sides of one triangle are proportional to three sides of another triangle, then the two triangles are similar. This theorem can be used to solve problems in which two triangles have the same angles and sides that are in proportion to one another.
Finally, students should also understand the properties of similar triangles. These properties state that the sides of similar triangles are proportional to one another, the angles of similar triangles are congruent to one another, and the corresponding angles of similar triangles are equal.
By understanding these theorems and properties, students should be able to solve problems related to similar triangles on the Unit 6 test.
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The values of the x are:
1) x = 2,
2) x =11.
3) x = 51
4) x = 7
What is the Angle Bisector theorem?
the angle bisector of a triangle bisects the opposite side in such a way that the ratio of the two line segments is proportional to the ratio of the other two sides.
18)
Given:
Two parallel lines intersecting horizontally the three vertical line,
So, Their ratios are in proportion.
9/4 = 13.5 / x + 4
x + 4 = (13.5*4)/9 = 6
x = 6-4 = 2.
So, the value of the x is 2.
19)
Given:
Two parallel lines intersecting horizontally the three vertical line,
So, Their ratios are in proportion.
12.8/x-3 = x+5/10
12.8 * 10 = (x-3) * (x+5)
128 = x²+2x -15
So, by solving this quadratic equation we get:
x =11.
21)
Given:
VT bisects the ∠STU
By using the Angle Bisector theorem,
9/33 = 12 / 3x+2
9(3x+2) = 33 * 12
27x + 18 = 1396
x = 1396 - 18 / 27
x = 51
22)
Given:
LM bisects the ∠JLK
By using the Angle Bisector theorem,
4/ (x-4) = (x +3) / 8
(x - 4) * (x + 3) = 8 * 4
x² - x - 12 = 32
x = 7.152
x = 7
Hence, the values of the x are:
1) x = 2,
2) x =11.
3) x = 51
4) x = 7
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in a pond the ratio of newts to toads was 3:4. 9 more toads then entered the pond and the ratio of newts became 3:5
Answer: As the ratio of newts and toads, 3:4
Step-by-step explanation:
The zeros of a quadratic function are x = 2 and x = -3. Write an
equation of the quadratic function.
The equation of the quadratic function is x² + x - 6
How to determine the quadratic functionNote that functions are equations, laws or expressions showing the relationship between two variables.
These variables are;
the dependent variableIndependent variableFrom the information given, we have that;
x = 2 and = -3 are the roots
Then,
(x -2)(x + 3)
expand the bracket, we get;
x² + 3x - 2x - 6
collect the like terms, we have;
x² + x - 6
Hence, the equation is x² + x - 6 = 0
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Lena says that 42y% and -5.%y are like terms. Is she correct? Why or why not?
Answer:
why and why not why .I have no idea wish I did
the following contingency table shows the number of games won and lost at two locations where a local baseball team had played. wins losses daryl fields 7 3 lincoln park 8 2 what is the probability that the team lost a game if it played at lincoln park? answer choices are rounded to the hundredths place.
Probability 8 2/ 7 3=1.123 that the team lost a game if it played at lincoln park.
One of the areas of probability theory is the estimation of the chance of experiments occurring. Using a probability, we can calculate everything from the likelihood of getting heads or tails when flipping a coin to the likelihood of making a research error, for example. It is essential to appreciate the most basic definitions of this branch, such as the formula for computing probabilities in equiprobable sample spaces, the likelihood of two events joining together, the probability of the complementary event, etc., in order to properly understand it .Probability refers to potential. A random event's occurrence is the subject of this area of mathematics. Mathematics has incorporated probability to forecast the likelihood of various events.
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Rectangle abcd has diagnal segment ac is 2x^2 +4x -6 and bd equal is x^2 -x +8 Find the lenght of ac
The length of AC is √(4x⁴+ 16x³ + 76x² - 16x + 64). In order to find the unit length of AC you have to get more measurement and solve for x in the equation.
We can use the fact that the diagonal of a rectangle is the square root of the sum of the squares of its sides. If the sides of the rectangle are "a" and "b", then the length of the diagonal is given by: √(a² + b²)
Let's call the length of AC "d". Then, from the information given, we have: d = √((2x² + 4x - 6)² + (x² - x + 8)²)
Expanding and simplifying the squares, we get:
d = √(4x⁴ + 16x³ + 12x² + 64x² - 16x + 64)
d = √(4x⁴+ 16x³ + 76x² - 16x + 64)
So, the length of AC is √(4x⁴ + 16x³ + 76x² - 16x + 64).
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help its a test and i really dont know the answer lol
Answer:
1. not a function
Since x=5 produces y=9 and y=0, it can't be a function
2. it is a function because there is one value of y for every value of x
3. A circle is not a function. because it doesn't pass the vertical line test
4. I think is d but not sure has been a while since I have done these questions so sorry if I am wrong :)
Step-by-step explanation:
have a nice day and good luck
a car rental company offers two plans for renting a car: plan a: 30 dollars per day and 12 cents per mile plan b: 50 dollars per day with free unlimited mileage for what range of miles will plan b save you money for a 1 day rental? to save money the mileage must be greater than miles per day.
Plan B will save you money for a 1-day rental if you drive more than 166.67 miles.
To determine the range of miles for which Plan B will save money over Plan A for a 1-day rental, we need to set up an equation that compares the total cost of each plan.
For Plan A, the cost is given by:
Cost(A) = 30 + 0.12x
where x is the number of miles driven.
For Plan B, the cost is given by:
Cost(B) = 50
since there is no additional charge for mileage.
To determine the range of miles for which Plan B is cheaper than Plan A, we need to find the value of x for which:
Cost(B) < Cost(A)
Substituting the expressions for the costs of each plan, we get:
50 < 30 + 0.12x
Simplifying this inequality, we get:
0.12x > 20
x > 20 / 0.12
x > 166.67
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Somewhat urgent.
-12,1 and x,7 when m = 1/8
The value of x in the coordinates (-12,1) and (x,7), having a slope of 1/8 is 36.
What is the value of x in the coordinate?Slope is simply expressed as change in y over the change in x.
Slope m = ( y₂ - y₁ )/( x₂ - x₁ )
Given that;
Point 1 (-12,1)
x₁ = -12y₁ = 1Point 2 (x,7)
x₂ = xy₂ = 7Slope m = 1/8
Plug the values into the slope formula and solve for x.
Slope m = ( y₂ - y₁ )/( x₂ - x₁ )
1/8 = ( 7 - 1 )/( x - (-12) )
1/8 = ( 6 )/( x + 12)
Cross multiply
( x + 12) = 6 × 8
x + 12 = 48
x + 12 - 12 = 48 - 12
x = 36
Therefore, the value of x is 36.
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A man age is 42 years and his son age is 12 years. After how many years will the man be thrice as old as his, son
As per unitary method, it will take 9 years for the man to be three times as old as his son.
The unitary method is a mathematical technique that involves finding the value of a single unit, and then using that unit to find the value of a larger quantity.
First, let's define our variables:
Let the man's age be M
Let the son's age be S
According to the problem, we know that:
M = 42
S = 12
We want to find out how many years it will take for the man's age (M) to be three times his son's age (S). Let's call this number of years "y".
Using the unitary method, we can set up the following equation:
M + y = 3(S + y)
Here's what this equation means:
M + y represents the man's age after y years
S + y represents the son's age after y years
3(S + y) represents three times the son's age after y years
We can simplify this equation by distributing the 3:
M + y = 3S + 3y
Next, we can isolate the variable y (which represents the number of years we're trying to find) by moving all the other terms to the opposite side of the equation:
y - 3y = 3S - M
Simplifying this, we get:
-2y = 3S - M
Finally, we can solve for y by dividing both sides by -2:
y = (M - 3S) / -2
Plugging in the values we know, we get:
y = (42 - 3(12)) / -2
y = 9
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Complete Question:
A man's age is 42 years and his son's age is 12 years. After how many years will the man be thrice as old as his son?
question 13
help me asap
Answer:
AC = 16 cm
Step-by-step explanation:
given a tangent and a secant from an external point to the circle, then
the square of the measure of the tangent is equal to the product of the measures of the secant's external part and the entire secant, that is
AB × AC = AD²
4x = 8² = 64 ( divide both sides by 4 )
x = AC = 16 cm
Answer:
16 cm
Step-by-step explanation:
tan/sec Theorem
a² = b(b+c)
8² = 4(4+c)
64 = 16 + 4c
48 = 4c
12 = c
12 + 4 = 16 cm
a middle school with s students ran a survey to determine the students favorite activities the table indicates the number of students who enjoy each activity answer parts a and b
The expressions that show the number of students for each activity are;
Dance; (1/7)z + 22Baseball; (4/7)z - 24Drama; (1/7)z + 26What is a Set?A set contains elements or members that can be mathematical objects of any kind, including numbers, symbols, points in space, lines, other geometric shapes, variables, or even other sets.
A set is a mathematical model for a collection of various things.
We are given;
Total number of students in the middle school = z
A) From the given table, we can deduce that;
Students that like dance activity = (1/7)z + 22Students that like baseball activity = (4/7)z - 24Students that like drama = (1/7)z + 26B; Now, the expression to show the students that like either drama or dance is;
(1/7)z + 26 + (1/7)z + 22
>> (2/7)z + 48
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A middle school with z students ran a survey to determine the students' favorite activities. The table indicates the number of students who enjoy each activity. Answer parts A and B.
Table:
Activity:
Dance- 22 more than one-seventh of the students
Baseball- 24 fewer than four-sevenths of the students
Drama- 26 more than one-seventh of the students.
Y=2x+4 y=-x+1
Solve the system using substitution
The equivalent solution to the equation is (-1, -2)
Solving simultaneous equation using substitution methodGiven the simultaneous equation below:
Y=2x+4
y=-x+1
Since both equations are y expressions, we will equate then to have;
2x+ 4 = -x + 1
2x + x = 1 - 4
3x = -3
x = -1
For the value of y;
y = -x + 1
y = -1-1
y =-2
Hence the solution to the system of equation is (-1, -2)
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7) The cost, C, in dollars for advertising on a social networking website is proportional to the number n
of clicks on the advertisement. Suppose a business is charged $108.50 for 310 clicks on its
advertisements. What is the slope of the line that represents the relationship between cost and clicks?
The slope of this line is 0.35, which represents the amount that the cost increases for each additional click.
What is equation of straight line ?
Equation of straight line can be as follows, y = mx +b
where m is a slope of line.
Given,
To find , The cost, C, in dollars for advertising on a social networking website is proportional to the number n] of clicks on the advertisement.
When a business is charged $108.50 for 310 clicks on its advertisements.
The cost, C, and number of clicks, n, are related by the equation
C = k * n, where k is the constant of proportionality.
From the given information, we know that C = $108.50 when n = 310. We can use this information to find the value of k:
$108.50 = k * 310
Solving for k:
k = $108.50 / 310
k = $0.35
So, the equation for the relationship between cost and clicks is:
C = $0.35 * n
Therefore, The slope of this line is 0.35, which represents the amount that the cost increases for each additional click.
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What does 1/3 ÷ 5/6 equal?
Answer:
It would equal 2/5. First flip the 5/6 so then it would be 6/5. Then the 3 and 6 can cross cancel so it would equal to 2 in the numerator.
HELP DUE TONIGHT!!!
The volume of the sphere with a radius of 8.9 m is given as follows:
V = 2,951.5 m³.
How to obtain the volume of a sphere?The volume of a sphere of radius r is given by the equation presented as follows:
V = 4πr³/3.
The radius for this problem has the measure given as follows:
r = 8.9m.
Hence, considering that π is rounded to 3.14, the volume of the sphere is obtained as follows:
V = 4 x 3.14 x (8.9)³ x 1/3
V = 2,951.5 m³.
More can be learned about the volume of a sphere at brainly.com/question/10171109
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