Answers
Using proportions, the coordinates of point C are given as follows:
C(0, -0.67).
What is a proportion?A proportion is a fraction of a total amount, and the measures can be related using a rule of three, which derives from proportional relationships.
Due to this, relations between variables, either direct(when both increase or both decrease) or inverse proportional(when one increases and the other decreases, or vice versa), can be built to find the desired measures in the problem, or equations to find these measures, involving operations such as division and multiplication, as they involve unit rates.
For this problem, the points are given as follows:
A(-4,-6), B(5,6), C(x,y).
The ratio of AC to CB is of 4:5, hence the following equation is constructed:
C - A = 4/9(B - A).
As the ratio of 4:5 means that the distance is 4/(4 + 5) = 4/9.
The x-coordinate of C is found applying the above equation as follows:
x + 4 = 4/9(5 + 4)
x + 4 = 4
x = 0.
The y-coordinate of C is also found applying the equation, as follows:
y + 6 = 4/9(6 + 6)
y + 6 = 5.33.
y = -0.67.
Hence the coordinates of point C are given as follows:
C(0, -0.67).
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Related Questions
The mural in the art gallery is 7 meters tall. It's 69 centimeters taller than the marble sculpture. How tall is the sculpture?
Answers
Find the height of the marble sculpture if the mural is 69 centimeters taller.
Solution:
Convert the height of the mural into centimeters to easily calculate how tall it is from the marble sculpture.
1 meter = 100 cm
7 meters = 700 cm
Subtract 69 cm from 700 cm in order to get the height of the marble sculpture.
700cm - 69 cm = 631 cm
Convert 631 cm into meters by dividing it with 100.
=631 /100
= 6.31 m
The height of the mural is 6.31 m
The age of two sibling are 10 and 13 years. In how many year will the product of their ages be 340?
Answers
Answer:
no choice but an hour or so much
Name the property illustrated If g = 3h and 3h = 16, then g = 16
3
Answers
The property illustrated ca be classified as the transitive property of equality
Transitive property of equalityEquation are expressions separated by an equal sign. For transitive property, if two system of equation are equal, and the first is equal to the second, then they 2nd is equal to the third, they are transitive.
According to the transitive property of equality, two quantities that are equal to the same thing are equal to each other. For instance If x = 10 and 10 = y, then x = y.
Given that g = 3h and 3h = 16, then g = 16, then the property illustrated ca be classified as the transitive property of equality
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The perimeter of a rectangular price tag is 28 centimeters. The price tag is 4 centimeters tall
Answers
The width and area of the Rectangular tag is 10 centimeters and 40 centimeters square.
As per the question statement, The perimeter of a rectangular price tag is 28 centimeters. Its length is 4cm. We are supposed to find its width and area.
Let width be [tex]w[/tex]
Perimeter = [tex]2(length*width)[/tex]
[tex]28=2(4+w)\\w=14-4\\w=10cm[/tex]
Hence width is 10 cm
Now area of rectangle = [tex]length*width[/tex]
Area = [tex]4*10=40cm^{2}[/tex]
Hence area is 40 centimeter square.
Therefore the width and area of the Rectangular tag is 10 centimeters and 40 centimeters square.
Perimeter: It is the sum of length of all sides of any figure or shape. Its significance is the length of the sides.Area: It is the space occupied by any figure or a shape.To learn more about area and perimeter, click on the link given below:
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elane has $7.00 total in dimes and nickels in her coin jar. the number of dimes that elane has is seven less than three times the number of nickels. how many of each coin does elane have
SHOW WORK PLS AND THE EQUATION
Answers
Answer:
Let the number of 50p coins be x
and the number of 25p coins be 2x
Therefore,
Value of 50p coins = 50x p
and value of 25p coins = 2 * 25x p
= 50x p
Total value = Rs 34 = 34 * 100 p= 3400p
According to the question,
50x p + 50x p = 3400 p
=100x p = 3400p
= x = 3400p/100p
= x = 34
Therefore , number of 50p coins =34
and , number of 25p coins = 34 * 2 = 68
Step-by-step explanation:
hope it helps
All changes saved
5. The 50 snakes in the serpentarium include families of 10 vipers, 23 colubrids, 9 elapids, and 8 giant snakes.
Calculate the percent of each type of snake. Use the percent that you find and multiply each times 360° to
find the number of degrees for each sector.
I need help solving the percent and degree
Answers
Percent of vipers is 20% and its degree is 72 degrees.
Percent of colubrids is 46% and its degree is 165.60 degrees.
Percent of elapids is 18% and its degree is 64.80 degrees.
Percent of giant snakes is 16% and its degree is 57.60 degrees.
How we do calculate the percent and degree?The percent can be calculated as follows:
Percent of vipers = (Number of vipers / Total number of snakes) * 100 = (10 / 50) * 100 = 0.20 * 100 = 20%
Percent of colubrids = (Number of colubrids / Total number of snakes) * 100 = (23 / 50) * 100 = 0.46 * 100 = 46%
Percent of elapids = (Number of elapids / Total number of snakes) * 100 = (9 / 50) * 100 = 0.18 * 100 = 18%
Percent of giant snakes = (Number of giant snakes / Total number of snakes) * 100 = (8 / 50) * 100 = 0.16 * 100 = 16%
The degrees can be calculated as follows:
Degree of vipers = Percent of vipers * 360 = 20% * 360 = 72 degree
Degree of colubrids = Percent of colubrids * 360 = 46% * 360 = 165.60 degree
Degree of elapids = Percent of elapids* 360 = 18% * 360 = 64.80 degree
Degree of giant snakes = Percent of giant snakes * 360 = 16% * 360 = 57.60 degree
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Create an expression for the perimeter of the triangle.
Side 1: x
Side 2: x
Side 3: y
Answers
x+x+y
= 2x+y
An 18-foot long section of a beam
weighs 2115 pounds.
If a section of the beam weighs 2350
pounds, how long is the section?
Answers
Answer: 2 feet
Step-by-step explanation:
2115/18=117.5 pounds per foot of section
2350-2115=235
235/117.5=2 feet
. Verify the concepts you havelearned about the Law of Acceleration in doing some problem – solving exercises.1.The rising concern among athletic trainers regarding concussions among football playershas prompted numerous studies of the effectiveness of protective head gears.
1.One study suggests that concussions may result from impacts rated at 740 m/s2. If a player’s head mass (with helmet) is 6 kg and considered to be a free body, then what net force would be required to produce an acceleration of 740 m/s2?2.Captain John Stapp of the U.S. Air Force tested the human limits of acceleration by riding on a rocket sled of his own design.
2.His rocket sled, known as the Gee Whiz, had a mass of about 82 kg. What net force would be required to accelerate Gee Whiz and 82 kg Stapp at 450 m/s2 (the highest acceleration tested by Stapp)?3.Space Shuttle Max is one of the extreme rides in Enchanted Kingdom.
3.The first of its kindin the country, the roller coaster ride inverts its riders six times. If during one of its operations, a 53 kg boy experiences a net force of 1800 N at the bottom of its roller coaster loop, how fast would he be accelerating at this location
Answers
Try this opttion
Step-by-step explanation:
[tex]1. \ F=m*a; \ = > \ F=740[\frac{m}{s^2} ]*6[kg]=4440[N];[/tex]
[tex]2. \ F=m*a; \ = > \ F=82[kg]*450[\frac{m}{s^2}]=36900[N]=36.9[kN];[/tex]
[tex]3. \ F=m*a; \ = > \ a=\frac{F}{m}; \ = > \ a=\frac{1800}{53}=33.9623[\frac{m}{s^2}].[/tex]
(Score for Question 4: of 4 points)
4. Write the indicated conditional statements for the given statement.
Conditional Statement:
Converse Statement:
Inverse Statement:
Contrapositive Statement:
Biconditional Statement:
If a car is out of gas, then it will not run.
Assuming the original statement is biconditional, write the biconditional version of the statement:
Answers
The given statement is "A car is out of gas, and it will not run". The conditional statement can be given by using the word 'If'.
The conditional statement of the statement given in question is given by: If a car is out of gas, then it will not run. The Converse statement of the statement given in question is given by: If the car will not run, then it has no gas. The Inverse statement of the statement given in question is given by: If the car is not out of gas, then it will run. The Contrapositive statement of the statement given in question is given by: If the car will run, then it is not out of gas. The Biconditional statement of the statement given in the question is given by: If and only if the car is out of gas, then it will not run.
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What is the vertex form of y equals 2 x squared minus 8 x plus 1?
Answers
According to the given information, the vertex form is 2(x - 8)² + 1.
What do we mean by vertex form?A quadratic function has the vertex form f(x) = a(x - h)2 + k, where a, h, and k are constants. A vertex form in geometry is a location where two or more curves, lines, or edges converge. As a result of this definition, vertices are the intersection of two lines that create an angle as well as the corners of polygons and polyhedra. The four corners of a square, for instance, are each referred to as a vertex.So, vertex form:
Vertex form: f(x) = a(x - h)² + kNow, substitute the given values as:
2(x - 8)² + 1Therefore, according to the given information, the vertex form is 2(x - 8)² + 1.
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If rectangle A has sides that are three times the length of those in rectangle B, how do the areas of the two rectangles compare?
A. The area of A is three times the area of B.
OB. The area of A is six times the area of B.
OC. The area of A is eight times the area of B.
OD. The area of A is nine times the area of B.
E. The area of A is twelve times the area of B.
Answers
Answer:
D. The area of A is nine times the area of B.Step-by-step explanation:
Area is the function of two dimensions.
If each dimension is increased 3 times then the area will increase:
3*3 = 9 timesCorrect choice is D
snow fell at a rate of 3/4 inch/hour. How much snow fell in a period of 6 hours?
Answers
Answer:
4.5 inches
Step-by-step explanation:
Well 3/4 is the same as 0.75
First multiply 0.75 by 6 to get the answer because 0.75 is how much it fell in an hour. So if you multiply by 0.75 by six hours you get your answer. Which is 4.5
Answer:
5.5 inches
Step-by-step explanation:
Because you multiply 3 by 6
if y=12, what is the value of 85y+8-80y?
Answers
Answer: 68
Step-by-step explanation: Because I am smart
Round of 1,546 to the
nearest thousands
Answers
Answer:
1,546 ≈ 2,000
Hope this helps :)
1. To round to nearest thousands, first look at the hundreds place if the number is 1,2,3,4 then round down. If the number is 5,6,7,8,9 then round up.
2. In a certain town, the tricycle fare for the first kilometer costs ₱15.00. An additional amount of ₱6.50 is added for every succeeding kilometer. If Anthony paid, ₱47.50 to the tricycle driver, how many kilometers did he travel?
Answers
In linear equation, he travelled 6 kilometers .
What in mathematics is a linear equation?
There are only one or two variables in a linear equation. No variable can be multiplied by a number larger than one or used as the denominator of a fraction in a linear equation. All of the points fall on the same line when you identify the values that together make a linear equation true and plot those values on a coordinate grid.the tricycle fare for the first kilometer costs = 15.00
additional amount = 6.50
Anthony paid to the tricycle driver = , 47.50
47.50 - 15.00 = 32.50
32.50 ÷ 6.50 = 5
5 km + 1km = 6km
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Need help explain the steps below so I can put it on the paper
Answers
Answer:
the answer
Step-by-step explanation:
Answer:
Step-by-step explanation:
Slope intercept form is y=mx+b
Where m is the slope
general form is ax+by+c=0
this means, 2 is b
3x-2y=-16
y=3/2x+8
Now
subtract ax from both sides
3x -2y-3x= -16-3x
-2y=-16-3x
Subtract C from both sides
-2y=-3x+-16
divide both sides by b
y=-3/-2 x -16/-2
the slope is given by -a/b and the y intercept is given by -c/b
simplify
y=3/2x+8
Hope this helps!^^
(Sorry I took so long, had to find me a piece of paper )
What fraction of 1meter is 45centimetres
Answers
The fraction that is is 45 centimeters of 100 meters is: 9/20.
How to Calculate Fractions?To find the fraction of 1 meter that 45 centimeters is, make the units uniform.
That is, convert 1 meter to centimeters.
100 centimeters = 1 meter
Therefore, we would find what fraction is 45 centimeters of 100 centimeters (1 meter):
45 centimeters of 100 centimeters (1 meter) = 45/100
Reduce the fraction to its simplest form
45/100
45 divided by 5 = 9
100 divided by 5 = 20
Therefore, we would have:
45/100 = 9/20
In summary, the fraction that is is 45 centimeters of 100 meters is: 9/20.
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2/9 of the people on a restaurant are adults. If there are 95 more children than
adults, how many children are there in the restaurant?
Answers
According to the given statement the number of student in the restaurant = 133.
What is blockmodeling?blockmodeling is a set or cohesive framework used only for assessing the social structure and also for establishing a technique for splitting social network units based on certain patterns that produce a characteristic shape through interconnectivity.
How does the stochastic blocking model work?The stochastic block model (SBM) seems to be a random graph model including planted clusters. It is extensively used as a classic model to research clustering and community detection, and it provides a rich field for studying the statistical and mathematical tradeoffs that arise in network and information sciences.
According to the given information:Draw a diagram comprising 9 equal parts: 2 for the adults and 7 for the children.
Block modeling (also known as tape diagrams or bar models)
5 units = 95
1 unit = 95 ÷ 5 = 19
7 units
= 7 × 19 = 133
There are 133 children in the restaurant.
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Please answer the question in the picture, I will mark brainliest
Answers
Answer:
C
Step-by-step explanation:
4(5x+5) = - 24 + 4
I don't know how to solve this
Answers
Answer: x=-2
Step-by-step explanation:
4(5x+5) = - 24 + 4
20x+20=-24+4 ==> Distributive Property
20x+20-20=-24+4-20
20x=-20-20
20x=-40
x=-2
From midnight to 6:00 am on a winter night the temp steadily decreased dropping 3 degrees each hour. If the temp was 13 degrees at midnight what was the temp at 6:00am.
Write an expression to represent this situation.
Expain why your answers is reasonable and how you were able to determine the temp using rules of intergers.
Answers
Answer: -5
Step-by-step explanation:
12 - 13d
1 - 10d
2 - 7d
3 - 4d
4 - 1d
5 - -2d
6 - -5d
each coming time you subtract 3 from that current temp.
Points A and B have coordinates A(–4,2) and B(3,–6) . Find the coordinates of point P, the weighted average of points A and B, in which point A has a weight of 2 and point B has a weight of 5.
HELP ME GEOMETRY THX
Answers
The coordinates of the point P is P(x, y) = (1, - 26 / 7). (Correct choice: C)
How to calculate a resultant point's coordinates using the weighted averages method?
We must locate the third point by applying a method based on a weight average-like formula after finding the coordinates of two points on the Cartesian plane:
P(x, y) = (2 / 7) * A(x, y) + (5 / 7) * B(x, y)
P(x, y) = (2 / 7) * (- 4, 2) + (5 / 7) * (3, - 6)
P(x, y) = (- 8 / 7, 4 / 7) + (15 / 7, - 30 / 7)
P(x, y) = ( 7 / 7, - 26 / 7)
P(x, y) = ( 1, - 26 / 7)
Therefore, the coordinates of the point P is P(x, y) = ( 1, - 26 / 7).
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The coordinates of the point P is P(x, y) = (1, - 26 / 7). (Correct choice: C)
How to calculate a resultant point's coordinates using the weighted averages method?
We must locate the third point by applying a method based on a weight average-like formula after finding the coordinates of two points on the Cartesian plane:
P(x, y) = (2 / 7) * A(x, y) + (5 / 7) * B(x, y)
P(x, y) = (2 / 7) * (- 4, 2) + (5 / 7) * (3, - 6)
P(x, y) = (- 8 / 7, 4 / 7) + (15 / 7, - 30 / 7)
P(x, y) = ( 7 / 7, - 26 / 7)
P(x, y) = ( 1, - 26 / 7)
Therefore, the coordinates of the point P is P(x, y) = ( 1, - 26 / 7).
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Enter the value of n for the equation (3n•3*2)4=3^28
n=
Answers
The solution of this expression is n = 81.
What is the value of n behind a given expression?
In this problem we have an expression, where n is the variable to be found by using algebra properties, especially power properties. Then, we show the complete procedure below:
(3 · n · 3²)⁴ = 3²⁸ Given
(3 · n)⁴ · (3²)⁴ = 3²⁸ Power of a product
3⁴ · n⁴ · 3⁸ = 3²⁸ Power of a product / Power of a power
3¹² · n⁴ = 3²⁸ Multiplication of powers with same base
n⁴ = 3²⁸ / 3¹² Compatibility with multiplication / Existence of multiplicative inverse / Definition of division / Associative and modulative properties
n⁴ = 3¹⁶ Division of powers with same base
n = 3⁴ Definition of quartic roots
n = 81 Definition of power / Result
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Which of the following is a true statement? 43,962 < 34,048 20,473 < 24,928 21,046 > 26,397 32,433 > 34,048
Answers
Answer:
b) 20,473 < 24,928
Step-by-step explanation:
43,962 < 34,048
21,046 > 26,397
32,433 > 34,048
all have the sign pointed the wrong way
Answer: 20,473<24,928 is true
Step-by-step explanation:because 20,473 is less than 24,928 and 24,928 is greater than 20,473
Help me solve this problem please.
Answers
Answer:
C. 1889
Step-by-step explanation:
Given fixed weekly costs of $3778 and a variable cost per handle of $1, you want to know how many handles must be produced weekly for sale at $3 each to break even.
Contribution marginThe "contribution margin" of each handle is the difference between its variable cost and its selling price:
$3 -1 = $2
Break evenThe enterprise will break even when the sum of contribution margins is equal to the fixed costs. If h is the number of handles produced and sold, then to break even, we must have ...
2h = 3778
h = 1889
1889 handles must be molded weekly to break even.
__
Additional comment
You get the same result if you write the profit equation and solve for the number of handles that makes profit be zero.
profit = revenue -cost
0 = (3h) -(3778 +1h)
3778 = 2h . . . . . as above
1889 = h
ASAP. Please help me with 63 please. I will give an Brainly and bunch of extra points to whoever answers it right please.
Answers
Answer:
i hope this is what you needed
Step-by-step explanation:
A man deposited 350 in his account in the bank.a simple interest of 4 percent per annum was paid on his deposit.calculate the total amount at the end of 4 years?
Answers
The total amount payable at the end of 4 years is 406
In this given sum we are provided with the values of principal , rate of interest , and the number of years , we are asked to calculate the amount payable after 4 years that is the matured amount which is calculated with the addition of the principal amount and the simple interest. For that we had to first find out the amount of interest and then we need to add that with the principal amount to get the matured amount or the amount that is payable at the end of 4 years.
here we have to apply the formulla of simmple interest :
(principal × rate of interest × no. of years )/ 100
In the given sum principal (p) = 350 , rate of interest (r) = 4% pa , no. of years (n) = 4
Simple interest = pnr/100
= (350 × 4 × 4)/100 = 56
Matured Amount = Principal + Interest
= 350 + 56 = 406
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What is the simple interest if $1,000 is borrowed for 5 years at 5 % interest?
Answers
Step-by-step explanation:
A= $1250
Converting R percent to R a decimal
I need help with this one