The proportional relationship can be represented by using an equation y = kx
Proportional relationship defined as the relationships between two variables where their ratios are equivalent. We can say that , in a proportional relationship, one variable is always a constant value times the other. That constant is called as the "constant of proportionality"
Consider y and x are in direct proportional relationship
y ∝ x
We can write this proportional relationship as
y = kx
Where y and x are the two variables
K is the constant of proportionality
In this equation we can see that the variable y is a constant value times the other variable x
Hence, the proportional relationship can be represented by using an equation y = kx
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what is the value of n?
Answer: Sorry for the late answer, I was already answering it by the time someone else answered
Step-by-step explanation:
Since two angles on a straight line add up to 180, I used the angles given to find the adjacent angles to it by subtracting those angles from 180. Then, since the angles of a triangle add up to 180, I used the angles I just solved for to find the angle that is adjacent to n. I did the same thing I did to the first two angles by subtracting it from 180 to find n, which was 69 degrees
Melissa rented a Segway, a stand up scooter, in downtown Austin, Tx. The store charges a $3.25 initial charge plus $2.50 per mile. Which equation can be used to find y, the total cost of the rental, if x represents the number of miles Melissa rode on the Segway?
pls it has to be like "y=mx+b"
Answer:
y = x(2.50)+3.25
Step-by-step explanation:
y (total cost )= x (miles rode) * 2.50 (cost per mile) + 3.25 (initial cost)
in july, abby's gym membership will increase by 18% a month. if she is currently paying $32 a month how much will she pay in july?
The exponential function that shows the amount of money paid for membership x months after the beginning of the year is given by y = 32(1.18)ˣ.
What are the types of exponential function?There are two possibilities for the exponential function: it can be increasing or decreasing. Being increasing means that as the value of x increases, the value of f(x) also increases; being decreasing means that as the value of x decreases, the value of f(x) also decreases.
Let y represent the amount of money paid for membership x months after the beginning of the year. Abby's gym membership will increase by 18% a month. This is an exponential function.She is currently paying $32 a month, hence:y = 32(1 + 0.18)ˣy = 32(1.18)ˣ
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I honestly forgot about this lol please revive my brain
Given:
[tex]y=4x[/tex]To draw the graph:
Let us find the slope as the ratio.
Comparing the given equation with y=mx+c
So, the slope m=4.
In ratio,
[tex]\frac{\text{Change in y}}{\text{change in x}}=\frac{4}{1}\Rightarrow4\colon1[/tex]Let us take two points, (0,0) and (1,4).
So, the graph is,
|-4/3x-5|>19
Solve with work please. ;)
The inequality expression given as |-4/3x - 5| > 19 has a solution of 10.5 < x < -18
How to solve the inequality?From the question, the inequality is given as
|-4/3x-5|>19
Rewrite properly as
|-4/3x - 5| > 19
Remove the absolute bracket
So, we have the following representation
-19 > -4/3x - 5 > 19
Add 5 to all sides of the inequality
So, we have
-14 > -4/3x > 24
Multiply through by -3/4
So, we have
10.5 < x < -18
Hence, the solution to the expression is 10.5 < x < -18
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given the following data and a 4-period weighted moving average. t at 1 13 2 20 3 14 4 17 5 19 supposed the weights of the four periods are 4, 5, 8, 11 for the oldest to newest periods, respectively. compute the 4-period weighted moving average in period 5. group of answer choices
6.06 is compute the 4-period weighted moving average in period 5.
What is average in ?
In mathematics, the middle value—which is determined by dividing the sum of all the values by the total number of values—is the average value in a set of numbers. To calculate the average of a set of data, add up all the values and divide the result by the total number of values.Identify number to average that is 19,17,14,13 over four day period.
Assigning weights to each number.
= 4 * 19 + 5 * 17 + 8 * 14 + 11 * 13
= 416
The sum of period is 19 + 17+ 14 + 13 = 63
So , 416/63 = 6.06
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If someone could help me with these two problems please. ( will mark brainliest if correct )
The value of t for the angles of the given triangle will be 30.67.
What are the angles of triangle?The straight angle is equal to the total of the angles of a triangle. Three angles, one at each vertex and bounded by two neighbouring sides, make up a triangle. For a very long period, it was unknown if there were any alternative geometries for which the total is different.
The triangle has three sides and is a two-dimensional figure having the sum of the angles of 180 degrees.
In the given image the three angles are 2t, t + 8, and t - 12. The value of t will be calculated as:-
2t + t + 8 + t - 12 = 180
4t - 4 = 180
4t = 184
t = 184 / 4
t = 30.67
Therefore, the value of t for the angles of the given triangle will be 30.67.
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What is an equation of the line that passes through the point (6,1)(6,1) and is parallel to the line x+3y=15
Answer:
Step-by-step explanation:
Let's write everything in slope-intercept format of y=mx+b, where m is the slope and b is the y-intercept.
x+3y=15
3y= -x + 15
y = (-1/3)x + 5
Parallel lines will have the sam slope, in this case -(1/3), So the new line will be:
y = (-1/3)x + b
We need to fijnd a value of b that will force the ine through point (6,1). Enter (6,1) in the equation and solve for b:
y = (-1/3)x + b
1 = (-1/3)(6) + b
1 = (-2) + b
b = 3
The parallel line is:
y = (-1/3)x + 3
See the attached graph.
amanda wants to send her dresses to the laundry downstairs, and she wants to keep her cleaning within a budget of . the laundry charges for washing one dress and for ironing one. write an inequality to describe the possible number of dresses that amanda can send to be washed and send to be ironed. if amanda has dresses to be washed, what is the maximum number of dresses that she can send to be ironed? dresses (amanda can send to be ironed).
The maximum number of dresses that Amanda can send to be ironed is 8.
What is defined an inequality?An inequality compares two values to determine whether one is less than, greater than, or merely not equal to the other.a ≤ b shows that a is less than or equal to ba ≥ b shows that a is greater than or equal to b.For the given question;
Total budget of Amanda = $100.
Price of washing = $8 per dress.
Price of ironing = $5 per dress.
Total number of dress to be washed = 7.
Let x be the number of dress to be send for ironing.
The inequality becomes.
5x + 7×8 ≤ 100
5x + 56 ≤ 100; is the required inequality.
For finding the x, equate the value.
5x + 56 ≤ 100
5x ≤ 44
x ≤ 8.8
But x must be less, then.
x = 8 dress.
Thus, the maximum number of dresses that Amanda can send to be ironed is 8.
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The complete question is-
Amanda wants to send her dresses to the laundry downstairs, and she wants to keep her cleaning within a budget of $100 . the laundry charges $8 for washing one dress and for ironing one $5. write an inequality to describe the possible number of dresses that amanda can send to be washed and send to be ironed. if amanda has 7 dresses to be washed, what is the maximum number of dresses that she can send to be ironed? dresses (amanda can send to be ironed).
prodigy question of perimiter
The number of length of 4 feet they need is 8.
How to find the number of length required for fencing?He wants to fence around there garden that measures 8 feet by 8 feet.
The store sells fencing in length of 4 feet's.
Therefore,
perimeter of the garden = 4l
where
l = side lengthThe perimeter of a shape is the sum of the whole side.
Hence,
perimeter of the garden = 4 × 8
perimeter of the garden = 32 feet
Therefore,
number of length required = 32 / 4
number of length required = 8
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Please help!!!!!!!!!
Answer:
f(-4) = 19
Step-by-step explanation:
Since -4 < 1, we need to use the bottom part of the function:
[tex]f( - 4) = {( - 4)}^{2} + 3 = 16 + 3 = 19[/tex]
Hi, I am taking PSAT and I am working on the math section. I need help with answering this math type of question. Please give the best explanation.
By using the concept of uniform rectilinear motion, the distance surplus of the average race car is equal to 3 / 4 miles. (Right choice: A)
How many more distance does the average race car travels than the average consumer car?
In accordance with the statement, both the average consumer car and the average race car travel at constant speed (v), in miles per hour. The distance traveled by the vehicle (s), in miles, is equal to the product of the speed and time (t), in hours. The distance surplus (s'), in miles, done by the average race car is determined by the following expression:
s' = (v' - v) · t
Where:
v' - Speed of the average race car, in miles per hour.v - Speed of the average consumer car, in miles per hour.t - Time, in hours.Please notice that a hour equal 3600 seconds. If we know that v' = 210 mi / h, v = 120 mi / h and t = 30 / 3600 h, then the distance surplus of the average race car is:
s' = (210 - 120) · (30 / 3600)
s' = 3 / 4 mi
The distance surplus of the average race car is equal to 3 / 4 miles.
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find the value of x when y=10 and 2y+y=x
x = 30
Step-by-step explanation:
Given,
y = 10, x = ?
2y+y = x → Equation no. (1)
Substitute the value of y in Equation no. (1) then,
2(10)+10 = x
20+10 = x
30 = x (OR) x = 30.
What ratio is equivalent to 7:6
Answer: 14 : 12
Step-by-step explanation:
Answer: 14:12
Step-by-step explanation: To find the ratio, you would either multiply or divide the two numbers by the same number, and you would get a simplified ratio or an equivalent one. Because 7:6 is simplified, we have to find an equivalent ratio, meaning we multiply. If we multiply 7 by two, we get 14. Multiply 6 by two to get 12. So, the answer is 14:12. Divide both 14 and 12 by two to get back to 7:6.
justina needs to dilate traiangle ABC using a scale factor of 1.5
Using the rule for a dilation, it is found that:
1. The table with the coordinates is given by the first image.
2. The graph of the dilated triangle is given by the second image.
3. The rule is: (x,y) -> (1.5x, 1.5y).
What is the effect of a dilation of a figure?When a figure is dilated by an scale factor of a, each vertex of the figure is multiplied by the scale factor of a, hence the rule is given by the following vector:
(x,y) -> (ax, ay).
The coordinates of the vertices of the pre-image are given as follows:
A(-2, -2), B(2,2), C(4, -2).
The dilation has a scale factor of 1.5, hence the rule for the calculation of each vertex of the image, considering the pre-image, is given as follows:
(x,y) -> (1.5x, 1.5y).
Then the vertices of the image will be given as follows:
A'(-3, -3), B'(3,3), C'(6, -3).
Each coordinate of A, B and C was simply multiplied by 1/2, and the triangle with these vertices is given by the second image at the end of the answer.
What is the missing information?The problem is incomplete, and is given by the first image at the end of the answer.
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Help! I don’t know if this is correct
Answer:
can you turn it to the carma I can see it that good
the associative property holds true for multiplication because -3 x4 x-2 = -3 x 4 x-2 does the associative property hold true for divison of integers
Answer:
Step-by-step explanation:
No it does not hold for division nor subtraction. An example would be 8÷(4÷2)≠(8÷4)÷2. You would get two complete different answers. For the first equation you would get 4 where as for the second equation you would get 1.
An airplane travels 130,000 feet horizontally drring take-off, reaching a height of 35,000 feet. the airplane travels at a constant rate.what is the plane's launch angel? round your answer to the neatest degree.
The launching angle of the plane which has reached a height of 35000 ft is 15°
Let the distance travelled by the airplane horizontally be AB
The height reached by the airplane be BC
Thus AB = 130000 ft
BC = 35000 ft
The launching angle of the airplane can be found using the formula
tanθ = opposite / adjacent
(or)
tanθ = BC / AB
Let us substitute the known values in the above equation, we get
tanθ = 35000/130000
tanθ = 0.2692
θ = tan⁻¹ (0.2692)
θ = 15.067°
θ ≅ 15°
Therefore , the launching angle of the airplane is 15°
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Select the correct answer from each drop-down menu. A graph plots stock value. A line rises from (18, 1,725 point 00) to (20, 1,750 point 00) declines to (25, 1,670 point 0 0) and rises to (1, 705 point 7 4). Line graphs show price trends over different time periods. What data points are used to create a line graph on the stock quote shown? The line graph is created using the of the stock each .
The line graph is created using the close price of the stock each day.
What is a stock?In Trading and securities, a stock is also known to as equity and it can be defined as a financial security which represents a stockholder's ownership of a fraction of a corporation.
What is an closing price?An closing price can be defined as the official price at which a financial security first trades at the closing of an exchange on a stock market, during a regular trading session.
This ultimately implies that, a closing price is the price at which the last financial transactions are completed or the last bids and offers are made by eligible customers on a stock market.
In this context, we can reasonably infer and logically deduce that the close price of the stock each day was used to create the line graph.
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Complete Question:
Select the correct answer from each drop-down menu. A graph plots stock value. A line rises from (18, 1,725 point 00) to (20, 1,750 point 00) declines to (25, 1,670 point 0 0) and rises to (1, 705 point 7 4). Line graphs show price trends over different time periods. What data points are used to create a line graph on the stock quote shown?
The line graph is created using the _____ of the stock each _____.
Answer:w
Step-by-step explanation:aaw
w
Graph this.
y=2/3x-4
Answer:
Step-by-step explanation:
Put the left dot on negative 4, and then put the right dot on positive 6.
PLEASE HELP ASAP!!!!!!!!
(03.03 MC)
The table represents a continuous exponential function f(x). XE 2 3 4 5 f(x) 9 3 1 Graph f(x) and identify the y-intercept.
A.9
B.15
C.36
D.3
E.81
Answer: B. (15)
Y= -[tex]\frac{3}{1}[/tex]x + 15
Step-by-step explanation:
In the Table we see a f(x) decreasing by 3 for every 1 (x)
So we Have a Slope of -3(y) over 1(x)
help! last question
Question 1 (1 point)
Simplify the expression and rationalize the denominator.
16x4y8
5z
Answer:
[tex] = \frac{ {4x}^{2} {y}^{4} \sqrt{5z} }{5z} [/tex]
Step-by-step explanation:
[tex] \sqrt{ \frac{16x {}^{4} y {}^{8} }{5z} } \\ = \sqrt{ \frac{16 {x}^{4} y {}^{8} }{ \sqrt{5z \\ } } } \\ = \frac{4 {x}^{2}y {}^{4} }{ \sqrt{5z} } \\ = \frac{ {4x}^{2} y {}^{4} \sqrt{5z} }{5z} [/tex]
The square root of a number is between seven and eight .which could be the number?
Answer: 51
Step-by-step explanation:
Which of the following is equivalent to 2.76?
2.76%
27.6%
two and nineteen twenty fifths
twenty five over nineteen
The equivalent number to 2.76 is the mixed number 2 + 19/25.
Which of the following is equivalent to 2.76?
Here we need to see which option is equivalent to the given number, which is 2.76.
We can rewrite this as a mixed number.
2 + a/b
Such that:
a/b = 0.76
By looking at the options, we can see:
19/25 = 0.76
Then the correct option is:
2 + 19/25
So the third option is the correct one.
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Use the equation below to find a, if b=3 and h=4
A= bh
PLS HELP :(
does anyone know the answer
A research center poll showed that % of people believe that it is morally wrong to not report all income on tax returns. What is the probability that someone does not have this belief?.
The probability that someone does not have this belief is (1-x%)
If, x % of people believe that it is morally wrong to not report all income on tax returns.
A research center poll showed that % of people believe that it is morally wrong to not report all income on tax returns.
let, x % of people believe that it is morally wrong to not report all income on tax returns.
then, the probability that someone does not have this belief-->
the sum of the probability of all events equal to 1.
so, probability(believe it morally wrong to not report ) + probability(does not believe this )=1;
so, the probability that someone does not have this belief = 1-x%
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PLEASE HELP Which equation is equivalent to -2a + 6b = -8c + 16?
Answer:
a=4c-8+3b
Step-by-step explanation:
Point A is at (-7, 5) and point B is at (7,3).
What is the midpoint of line segment AB?
[tex]m = ( \frac{x1 + x2}{2} . \frac{y1 + y2}{2} ) \\ = ( \frac{ - 7 + 7}{2} . \frac{5 + 3}{2} ) \\ =( \frac{0}{2} . \frac{8}{2} ) \\ m(0.4)[/tex]
be alert m represents the MIDPOINT.
THE MIDPOINT IS (0,4)
Answer:
-1/7
Step-by-step explanation:
Hooke's Law for an elastic spring states that the distance a spring stretches varies directly as the force applied. If a force of 180 newtons stretches a spring 5 cm, how much will a force of 270 newtons stretch the same spring?
7.5cm distance a spring when a force of 270 newtons stretch the same spring.
What is force?A force is an influence that has the power to alter an object's motion. An object with mass can change its velocity, or accelerate, as a result of a force. An obvious way to describe force is as a push or a pull. A force is a vector quantity since it has both magnitude and direction.
Given Data
A force of 180 newtons stretches a spring 5 cm
If we consider F to be the force and x to be the extension, then:
F = kx
F = 180
x = 5
Equating
180 = 5k
k = 36
F = 36x
Force of 270:
270 = 36x
x= 7.5
7.5cm distance a spring when a force of 270 newtons stretch the same spring.
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