The value of k is 4. So the constant of proportionality is 4.
In the given question, a linear relationship is shown in the table.
Time (hour) 2 4 6 8
Distance (mile) 4 8 12 16
We have to find the linear relationship also proportional.
When determining if two ratios or fractions are equivalent, the proportion formula is utilized. One way to express the percentage formula is as a: Whereas a and d are the extreme terms and b and c are the mean terms, b::c: d = a/b = c/d.
y ∝ x is the supplied proportional equation.
Additionally, y = kx, where k is the proportionality factor.
It shows that the expressions printed on the left and right sides have an equal relationship.
Let k be the proportionality constant for the given data.
Now , the value of k is determined by x = {2, 4, 6, 8}.
The values of distances be y = {8, 16, 24, 32}.
The proportionality constant is now provided by y = kx.
Divide by x on both sides of the equation, we get
k = y/x
Substituting the values in the equation, we get
k = 8/2
k = 4
k = 16/4
k = 4
Hence, the value of k is 4. So the constant of proportionality is 4.
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The constant of proportionality is 4.
A linear relationship (or linear association) is a statistical term used to describe a straight-line relationship between two variables. Linear relationships can be expressed either in a graphical format or as a mathematical equation of the form y = mx + b.
The constant of proportionality is the ratio between two directly proportional quantities. Two quantities are directly proportional when they increase and decrease at the same rate. The constant of proportionality k is given by k=y/x where y and x are two quantities that are directly proportional to each other.
Let the proportionality constant be k
Noe the value of proportionality constant k is determined by
The values of time be x = {2,4,6,8}
The values of distance be y = {8,16,24,32}
Now, the constant of proportionality is given by
y = kx
Divide by x on both sides of the equation, we get, k = y/x
Substituting the values in equation, we get
K = 8/2 = 4
And k = 16/4 = 4
Therefore the value of k is 4.
hence, the constant of proportionality is 4.
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Urgent please help..
Answer:
72
Step-by-step explanation:
Complete the equations so that the solution of the system of equations is (-3, 5)
PLEASE IF U KNOW ANSWER HELP ME I NEED IT IN NEXT 10 MINUTES
Answer:
x + 2y - 3 = 0
Step-by-step explanation:
Coordinates of the points P and Q are (-3, 0) and (0, 6) respectively.
Slope of PQ = (0- 6)/(-3 - 0) = - 6/-3 = 2
Slope of line perpendicular to PQ = - 1/2
Since, required line passes through point R(7, - 2) and is perpendicular to PQ.
Therefore, equation of line in point slope form is given as:
[tex]y - (-2) = - \frac{1}{2} (x - 7) \\ \\ y + 2 = - \frac{1}{2} (x - 7) \\ \\2(y + 2) = - (x - 7) \\ \\ 2y + 4 = - x + 7 \\ \\ 2y + 4 + x - 7 = 0 \\ \\ x + 2y - 3 = 0[/tex]
Therefore x + 2y - 3 = 0 is the required equation of line.
Answer:
Answer:
x + 2y - 3 = 0
Step-by-step explanation:
Coordinates of the points P and Q are (-3, 0) and (0, 6) respectively.
Slope of PQ = (0- 6)/(-3 - 0) = - 6/-3 = 2
Slope of line perpendicular to PQ = - 1/2
Since, required line passes through point R(7, - 2) and is perpendicular to PQ.
Therefore, equation of line in point slope form is given as:
\begin{gathered}y - (-2) = - \frac{1}{2} (x - 7) \\ \\ y + 2 = - \frac{1}{2} (x - 7) \\ \\2(y + 2) = - (x - 7) \\ \\ 2y + 4 = - x + 7 \\ \\ 2y + 4 + x - 7 = 0 \\ \\ x + 2y - 3 = 0\end{gathered}
y−(−2)=−
2
1
(x−7)
y+2=−
2
1
(x−7)
2(y+2)=−(x−7)
2y+4=−x+7
2y+4+x−7=0
x+2y−3=0
Therefore x + 2y - 3 = 0 is the required equation of line.
hope it helps you
Find the tangent of the larger acute angle in a right triangle with side lengths 3, 4, and 5. Write your answer as a fraction
Answer:
4/3
Step-by-step explanation:
The larger accute angle in a 3 4 5 right triangle will always be the angle in between 3 and 5. Tangent theta = opposite side ÷ adjacent side, so 4/3.
The tangent should be in fraction is [tex]4\div 3[/tex]
Calculation of the tangent:Since in a right triangle with side lengths 3, 4, and 5
Here there is the larger acute angle in the 3, 4 and 5 so it should be lies between 3 and 5
So, it should be like
= opposite side ÷ adjacent side
= [tex]4\div 3[/tex]
Hence, The tangent should be in fraction is [tex]4\div 3[/tex]
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Steps for -3(x+2)=4+2x
Answer:
x = -2
Step-by-step explanation:
-3(x + 2) = 4 + 2x
= -3x + -6 = 4 + 2x (Distribution: -3)
= -3x + -2x - 6 = 4 (Moving the variables to the left and change the signs)
= -3x + -2x = 4 + 6 (Move consatnts to the right and change signs)
= -3x - 2x = + 6 --> (Collect like terms)
= -5x = 10 (Then add)
= (divide -5x = 10 by -5)
= x = 2
Solve. Use paper to show your work. Enter your answer in the box.
4\frac{5}{6}-2\frac{1}{2}=4
6
5
−2
2
1
=
4
4
Answer: illegel input- too many equals signs
Step-by-step explanation:
Kimberly ran her first race in 3.15 hours. She ran her second race in 2.90 hours. Rounding each time to
the nearest hour, about how many hours did it take Kimberly to run both races?
Answer:
It took her approximately 6.1 hours to run both races.
Step-by-step explanation:
3.15 plus 2.9 equals 6.05, rounded to the tenths place is 6.1.
Rhian sat a maths test and an English test. in the maths test, she scored 14/17. in the English test, she scored 31/39. in which test did she do better
Answer:
She did better on the Math test.
Step-by-step explanation:
14/17 is 82 percent, and 31/19 is only about 80%.
Se sabe q la suma de tres numeros es de 850. El primer es un tercio del segundo y el tercer número es el doble del segundo.¿Cuales son los numeros apollese en el esquema de barra para solucionar el problema?
Answer:
Primer número = x = 85
Segundo número = y = 255
Tercer número = z = 510
Step-by-step explanation:
Se sabe que la suma de tres números es 850. El primero es un tercio del segundo y el tercer número es el doble del segundo.
Representamos:
Primer número = x
Segundo número = y
Tercer número = z
Se sabe que la suma de tres números es 850.
x + y + z = 850 ...... Ecuación 1
El primero es un tercio del segundo
x = 1/3 años
El tercer número es el doble del segundo.
z = 2 años
Sustituimos 1 / 3y por x y 2y por z en la Ecuación 1
1 / 3y + y + 2y = 850
y / 3 + 3y = 850
Multiplica ambos lados por 3
y + 9y = 850 × 3
10 años = 2550
y = 2550/10
y = 255
Resolviendo para x
x = 1/3 años
x = 1/3 × 255
x = 85
z = 2 años
z = 2 × 255
z = 510
Por eso,
Primer número = x = 85
Segundo número = y = 255
Tercer número = z = 510
Line segment JK has endpoints at J(-3,4) and K(3,6). Which is an equation of a line that is perpendicular to line segment JK and passes through the point (3,-12)
Answer:
y = -3x - 3.
Step-by-step explanation:
Find the slope of the line JK:
Slope = (6-4)/(3- (-3))
= 2 / 6
= 1/3.
Therefore the slope of the line perpendicular to it is - 1 / 1/3
= -3.
Now we use the point-slope form of a line to get the required equation:
y - y1 = m(x - x1)
Here m = -3 and (x1, y1) = (3, -12) so we have
y - (-12) = -3(x - 3)
y + 12 = -3x + 9
y = -3x + 9 - 12
y = -3x - 3 is the answer.
Explain the first steps to factoring when the leading coefficient is 1.
a) List the factors of a that add up to b.
b) Split the c term to factor by grouping.
c) Find the factors of c that add up to b.
d) Multiply b and c, then find the factors.
Answer:
In general, for a trinomial of the form x2+bx+c x 2 + b x + c you can factor a trinomial with leading coefficient 1 by finding two numbers, p and q whose product is c, and whose sum is b.
I need help it's due by 7
Answer:
Step-by-step explanation:
w=204.8
Answer:
204.8
Step-by-step explanation:
8x25.6=204.8
DOuble Check:
204.8 divided by 25.6=8
Albert mixes 10 grams of 15% sugar and 25 grams of 10% sugar syrup. How many grams of sugar does the mixture contain?
Answer:
4 grams
Step-by-step explanation:
Find how many grams of sugar are in each mixture:
10(0.15)
= 1.5
25(0.1)
= 2.5
Add these together:
1.5 + 2.5 = 4
So, the mixture contains 4 grams of sugar
for what values of x and y is PQRS and parallelogram
Answer:
x = 2
y = 3
Step-by-step explanation:
Measures of opposite sides of a parallelogram are equal.
Therefore,
PQ = SR
2y + 2 = y + 5
2y - y = 5 - 2
y = 3
QR = PS
2x + 3 = y + 4
2x + 3 = 3 + 4 (y = 3)
2x = 7 - 3
2x = 4
x = 4/2
x = 2
Thus, for x = 2 and y = 3, PQRS is a parallelogram.
What is the area of this?
Answer:
49 cm²
Step-by-step explanation:
Solve 5x=45 using the opposite operation
Answer:
the answer is 8
Step-by-step explanation:
5 times 8 =45 5 time table
Answer:
9
Step-by-step explanation:
8x9=45
Describe how an equation ditt
from an expression.
7. 24 less than the number of snakes is 35.
Answer:
idek
Step-by-step explanation:
what are the rules for multiplying negative numbers?
Answer:
When multiplying negative numbers, just remember 2 things. 1: 2 negative values will always give a positive value. 2: If you only have 1 negative value, your answer will also be negative. Just remember these rules and the rest is simple multiplication.
Answer:
Hi there! Your answer is down below!
Step-by-step explanation:
The rule of how to multiply negatives is simple: For a case where a negative number is multiplied by a positive, the rule above can be restated as: take the positive number, and the negative WITHOUT the minus sign, multiply them and add the inus sign to the product.
Have a nice day!
solve for x,x(3+9)=72
Answer:
x(3+9)=72
or, x(12)=72
or, x=72÷12
or, x = 6 ans.
Answer: x=6
Step-by-step explanation:
Let's solve your equation step-by-step.
x(3+9)=72
Step 1: Simplify both sides of the equation.
12x=72
Step 2: Divide both sides by 12.
12x/12=72/12
x=6
Answer:
x=6
PLEASE HELP! Due in a few hours!!
You need to workout the area of the shape :)
Answer:
breakdown the initial figure into 2 rectangle
and add their area
Expand: logh(9jk) Log Subscript h Baseline 9 times log Subscript h Baseline j times log Subscript h Baseline k Log Subscript h Baseline 9 + log Subscript h Baseline j + log Subscript h Baseline k Log 9 + log j + log k
Answer:
log h 9 + log h j +log h k
Step-by-step explanation:
i got it right on edg
Answer:
it is B for all u speed run edge people
Step-by-step explanation:
big luck in life
Which expression represents the algebraic phrase "nine times a number plus thirteen"? 9 minus y + 13 9 + y minus 13 9y + 13 13y + 9
Answer:
dddddddddddddv
Step-by-step explanation:
What is 7.0483 rounded to the nearest hundredth?
Answer:
7.080
Step-by-step explanation:
The rounding off to the number nearest hundredth will be 7.048.
What is rounding off the numbers?When a number is rounded off, its value is maintained but is brought closer to the next number, simplifying the number. For entire numbers as well as decimals at different places of hundreds, tens, tenths, etc., it is done.
A number can be rounded off to its lower value if the number after the decimal is between 0 and 4. The number will be rounded off to its higher value if the number after it is between 5 and 9.
The given number will be rounded off as below:-
7.0483 = 7.048
Therefore, the rounding off to the number nearest hundredth will be 7.048.
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Find the ULE in the triangle below
Where is the triangle?
can someone please help me, i have to turn this in soon.
para que sirve el álgebra
Answer:
si mamacita
Step-by-step explanation:
El álgebra es un tipo de matemática. Se trata de ecuaciones y resolución de incógnitas. El álgebra se usa para calcular números basados en una ecuación. ¡Espero que esto ayude!
1.) 5n + 44/n, (n = 11)
A 3-column table with 6 rows. Column 1 is labeled Number Rolled with entries 1, 2, 3, 4, 5, 6. Column 2 is labeled Observed Frequency with entries 10, 12, 10, 10, 8, 10. Column 3 is labeled Relative frequency with entries StartFraction 1 over 6 EndFraction, A, StartFraction 1 over 6 EndFraction, StartFraction 1 over 6 EndFraction, B, StartFraction 1 over 6 EndFraction.
A number cube is rolled 60 times. The results of those 60 trials are recorded in the table. Complete the table.
A =
B =
Answer:
A = 1/5
B = 2/15
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Step-by-step explanation:
Answer:
A = 1/5
B = 2/15
Step-by-step explanation:
What conclusion can you make about
three lengths that do not make a
triangle?
Step-by-step explanation:
if the 2 shorter sides add up to less than the larger side, then it's not a triangle.
Identify these foil solutions by using the screenshots below!
Hope it helps and is correct!