What is the constant of proportionality in this proportional relationship?
X: 2 2 1/2. 3. 3 12
Y: 5/2 25/8. 15/4. 35/8
O 4/5
O5/4
O4
O5
Answers
In the given set of data, 4/5 is the constant of proportionality in the proportional relationship.
What is constant of proportionality?When two or more parameters are either directly or indirectly proportional to one another, the relationship is written as a = kb or a = k/b, where k denotes the direction of the relationship between the two variables. The proportionality constant, k, is defined as follows.
The ratio of two proportional values at a constant value serves as the definition of the proportionality constant. When the product or ratio of two variables yields a constant, the relationship between the two is proportional. By comparing the ratio of the two specified quantities, we can calculate the value of the proportionality constant. A direct variation or an inverse variation of this relationship are both possible.
Given
2 : 5/2
2 = (k)5/2
also
3 : 15/4
3 = (k)15/4
This gives us
k = 2 × 2/5
k = 4/5
k = 3 × 4/15
k = 4/5
Thus, In the given set of data, 4/5 is the constant of proportionality in this proportional relationship.
Learn more about constant of proportionality
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Related Questions
Plz help me with this
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You have to solve the problem \frac{3}{4}-\frac{1}{8} 4 3 − 8 1 . After you make the denominators the same, what do you do?
FOR ALL MY POINTS
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Answer:
If you are doing subtraction with fractions you need to make a common denominator and subtract the numerators from each other
ex. 1/2 - 1/3
make a common denominator (or find the least common multiple)
3/6 - 2/6
subtract the numerators
take 2 from 3 and put that on top.
Solution 1/2-1/3= 3/6-2/6= 1/6
libro de matemáticas 1 de secundaria pag 108
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Which equation shows exponential GROWTH?
A) y=.5^x
B) y=.25^x
C) y= 25^x
D) y= .2^x
Answers
c) y = 25^x
explanation
because y increase as x increases
HELP ME!!!!!!!!!!! Its the one in the middle
Answers
Answer:
[tex]\frac{x3(p+5)}{10p(p-1)}[/tex]
Step-by-step explanation:
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Help me it is an hw due soon please
Answers
Answer:
1st is 1/4 and 2nd is 1/10
Which expression is represented by the model?
4X43
-4X-3
-4x+3
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Andrei ,Aura,Dorin,și Emilia calculează media geometrică a numerelor √32;3√2 și obțin rezultatele din tabelul:Andrei 6√2.
Aura 4√3.
Dorin 2√6
Emilia6.
Answers
Answer:
this is the way we calculate it ♡♡♡
the number of magazine subscriptions decreases by 8% each year.If there are 225,000 this year,how many will there be 7 years from now
Answers
Answer:
I got 147107
Step-by-step explanation:
If the subscriptions decrease by 8% each year then you would times 225000 by 0.08 then take the number you get from that and subtract it from 225000. And repeat until you get to the seventh year.
What is the positive value of “x”?
x(x+5)=387
Hint: Use the quadratic formula
Answers
Answer:
x= −5−11√13/2, −5+11√13/2Solve the equation for x by finding a, b, and c of the quadratic then applying the quadratic formula.
Exact Form:
x= −5−11√13/2, −5+11√13/2
Decimal Form:
x=17.33053201…,
−22.33053201…
Step-by-step explanation:
x(x+5)=387
Simplify
x(x+5).
x^2+5x=387
Subtract 387 from both sides of the equation.
x^2+5x−387=0
Use the quadratic formula to find the solutions.
−b±√b^2−4(ac)/2a
Substitute the values a=1, b=5, and c= −387 into the quadratic formula and solve for x.−5±√5^2−4⋅(1⋅−387)/2⋅1
Simplify.
x=−5±11√13/2
The final answer is the combination of both solutions.
x=−5−11√13/2, −5+11√13/2
The result can be shown in multiple forms.
Exact Form:
x=−5−11√13/2,−5+11√13/2
Decimal Form:
x=17.33053201…,
−22.33053201…
Hope it is helpful....Answer:
[tex]\displaystyle x=\frac{-5+11\sqrt{13}}{2}[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightDistributive Property
Equality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of EqualityAlgebra I
Standard Form: ax² + bx + c = 0Quadratic Formula: [tex]\displaystyle x=\frac{-b\pm\sqrt{b^2-4ac} }{2a}[/tex]Step-by-step explanation:
Step 1: Define
x(x + 5) = 387
Step 2: Identify Variables
Rewrite
[Distributive Property] Distribute x: x² + 5x = 387[Subtraction Property of Equality] Subtract 387 on both sides: x² + 5x - 387 = 0Part: a = 1, b = 5, c = -387Step 3: Solve for x
Substitute in variables [Quadratic Formula]: [tex]\displaystyle x=\frac{-5\pm\sqrt{5^2-4(1)(-387)}}{2(1)}[/tex][√Radical] Evaluate exponents: [tex]\displaystyle x=\frac{-5\pm\sqrt{25-4(1)(-387)}}{2(1)}[/tex][√Radical] Multiply: [tex]\displaystyle x=\frac{-5\pm\sqrt{25+1548}}{2(1)}[/tex][√Radical] Add: [tex]\displaystyle x=\frac{-5\pm\sqrt{1573}}{2(1)}[/tex][Fraction - Denominator] Multiply: [tex]\displaystyle x=\frac{-5\pm\sqrt{1573}}{2}[/tex][Fraction - √Radical] Simplify: [tex]\displaystyle x=\frac{-5\pm 11\sqrt{13}}{2}[/tex](x + 7)^2 – 11 = 0
lesser =
greater =
Answers
Answer:
Lesser = -[tex]\sqrt{11}[/tex] - 7 = -10.317
Greater = +[tex]\sqrt{11}[/tex] - 7 = -3.683
Step-by-step explanation:
I am assuming you are asking for the lesser x solution and greater x solution.
(x + 7)^2 – 11 = 0
(x + 7)^2 = 11
x+7 = ±[tex]\sqrt{11}[/tex]
x = ±[tex]\sqrt{11}[/tex] - 7
Lesser = -[tex]\sqrt{11}[/tex] - 7 = -10.317
Greater = +[tex]\sqrt{11}[/tex] - 7 = -3.683
Answer:
lesser= -14
greater= 0 (:
If the formula for finding the area of a rectangle is A=bh, then how could you describe the formula for finding the area of a triangle
Answers
Answer:
A=LxW
Step-by-step explanation:
Answer:
El perímetro de un triángulo es igual a la suma de sus tres lados.
b x h
2
On a triangle, one side measures 4x2−2x and another side measures 2x2 −5x+1. If the perimeter of the triangle is 9x2 + x+6, what is the measure of the third side of the triangle? (Your answer will be an expression)
Answers
Answer:
3x² + 8x + 5
Step-by-step explanation:
Subtract the sum of the 2 given sides from the perimeter, that is
9x² + x + 6 - (4x² - 2x + 2x² - 5x + 1)
= 9x² + x + 6 - (6x² - 7x + 1 ) ← distribute parenthesis by - 1
= 9x² + x + 6 - 6x² + 7x - 1 ← collect like terms
= 9x² + 8x + 5
PLEASE HELP! ANSWER FOR 20 POINTS PLS PLS
Answers
Answer:
5³ = 125
Step-by-step explanation:
5³ = 5 × 5 × 5 = 25 × 5 = 125
Answer:
5³ = 15 because the ³ mean 3 left over 5's like if i had 2² the ² = 2 so 2²=4
5+5+5=15
Answer : 15
The school that Billy Bob goes to is selling tickets to a choral performance. On the first day of ticket sales the school sold 3 senior citizen tickets and 1 child ticket for a total of $38. The school took in $52 on the second day by selling 3 senior citizen tickets and 2 child tickets. Find the price of a senior citizen ticket and the price of a child ticket.
What is the ordered pair of your intersection?
Make sure you use parenthesis and no spaces! example: (5,9)
Answers
Answer:
if your looking for the ordered pair its 8,14....But if you looking for the answer for the prices it
for grandpa 8 dollars
For children 14 dollars
write
S8,C14
Step-by-step explanation:
Litterally the answer is the ordered pair and the answer is on the graph shown in the problem.
HELP I NEED HELP ASAP
A. 5%
B. 0.5%
C. 50%
D. 0.05%
Answers
Answer:
the answer is A.5%
Step-by-step explanation:
Helia invested 4000 AED for 3 years with a compound interest rate of 1.5%, Calculate the worth of her investment at the end of this time period
Answers
what is the area of a square yards of a rectangle with a length of 9 yds and a width of 4 yds?
Answers
[tex]a = lw[/tex]
[tex]a = (9)(4)[/tex]
[tex]a = 36 \: {yds}^{2} [/tex]
Answer:
Here we can understand that the shape is a rectangle as length is not equal to width.
Area of the rectangle in square yards when length is 9 yds and width is 4 yds will be,
Area of Rectangle = LENGTH × WIDTH
⇒ 9*4
⇒ 36 sd yds
Thus the are will be 36 sd yds
Is the absolute value of -29 less than 29?
Answers
Answer:
no
Step-by-step explanation:
The absolute value is EXACTLY 29, so.
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Answers
Answer:
-3 sqrt 2 or -4.242640687
Step-by-step explanation:
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Answers
Comment if you need clarification.
Find the area of the semicircle. 10
Answers
Exact Area = 25pi square units
Approximate Area = 78.5 square units
The approximate value is found using pi = 3.14
====================================================
Explanation:
I think you meant to say "quarter circle" instead of "semicircle".
The area of a full circle with radius r = 10 is
A = pi*r^2
A = pi*10^2
A = pi*100
A = 100pi
But we only want one quarter of this. So we divide the full area by 4
(100pi)/4 = (100/4)pi = 25pi
The exact area in terms of pi is 25pi square units
If we used the approximation pi = 3.14, then we can say 25*pi = 25*3.14 = 78.5 is the approximate area
To get a better approximation, use more decimal digits in pi.
You have 59 total coins in a jar on your nightstand at home. The total amount of money is $12.05. You only have quarters and dimes. How many of each type of coin do you have? (hint - use a different method to write and solve the system).
Answers
9514 1404 393
Answer:
41 quarters18 dimesStep-by-step explanation:
When there are two contributors to the mix, it usually works well to let a variable represent the quantity of the larger contributor. Here, that larger contributor is the quarter.
Let q represent the number of quarters. Then 59-q is the number of dimes. The value of the coins, in cents, is ...
25q +10(59 -q) = 1205
15q +590 = 1205 . . . . . . . . eliminate parentheses, collect terms
15q = 615 . . . . . . . . . . . subtract 590
q = 41 . . . . . . . . . . divide by 15
59-q = 59 -41 = 18 . . . . . number of dimes
You have 41 quarters and 18 dimes.
5y=2x+5 Y=-x +6
( x, y)
Answers
Answer:
Step-by-step explanation:
6/5 + 2x/5= y
3+ 5y/2 = x
Find the values of the variables in the parallelogram. The diagram is not to scale.
Answers
Step-by-step explanation:
option B is the correct answer of this question.
x = 29, y = 49 and z = 102 .
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Answer:
B
Step-by-step explanation:
x is 29 because the inverse opposite of angles are the same.
z is 102 because opposite parallelogram angles are the same.
y is 49 through process of elimination.
[tex]\sqrt{2x-3} =5[/tex]
Answers
How to:
Square both sides then solve the equation
Which of the relations has a domain of {-5, 0, 5}?
A. {(-5, 5), (0, 5), (5,5)}
B. {(0, -5), (0, 0), (0, 5)}
C. {(-5, 0), (0, 5), (1, 0)}
Answers
Answer:
B
Step-by-step explanation:
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Options
1/9
1/6
1/4
1/2
Answers
Lawrence knows his race car can accelerate from 0 miles per hour to 100 miles per hour in 60 seconds. He assumed the acceleration was constant and created the graph below. If his graph is accurate, what point on the graph would give him the speed of the race car after 30 seconds of accelerating
Answers
Answer:
50 miles at 30 seconds
Step-by-step explanation:
It is that half way point of both the x and the y axis for the first minute of driving
Answer:
Lawrence knows his race car can accelerate from 0 miles per hour to 100 miles per hour in 60 seconds
A community builds a sandbox section and a playground section at one of the local parks. The area of the playground
section is 1,675 square feet. It is 100 square feet more than 4.5 times the area of the sandbox section.
• Write an equation that can be used to determine the area, A. of the sandbox section.
. What is the area of the sandbox section? Show all work.
Enter your equation, answer, and work in the box
Please help worth 25 points
Answers
9514 1404 393
Answer:
A + (100 +4.5A) = 1675A ≈ 286.4 square feetStep-by-step explanation:
The problem statement tells us that the area of the sandbox and playground together is 1675 square feet. Using A as the area of the sandbox section, the playground section is said to be (100 +4.5A). Then the total area is ...
A + (100 +4.5A) = 1675 . . . . . . an equation to determine A
5.5A = 1575 . . . . . . . . . . . . . . . subtract 100, collect terms
A = 1575/5.5 = 286 4/11 . . . . . divide by 5.5
The area of the sandbox section is about 286.4 square feet.