Find the constant of proportionality (k). Using the value for k, enter an equation in the form of y = kx.
Answers
Answer:
k = 4, y = 4x
Step-by-step explanation:
From the question, we get the ratio of :
x : y = 1 : 4
Two variables are proportional to each other if their ration is constant. The constant value is denoted by 'k' and is called as constant of proportionality.
In the question, the two variables are :
x = glasses of lemonade
y = lemons used
From the question, the ratio of y is to x is given by :
y : x is 24 : 6 = 4 : 1 or 24/6 = 4
32 : 8 = 4 : 1 or 32/8 = 4
28 : 7 = 4 : 1 or 28/7 = 4
8 : 2 = 4 : 1 or 8/2 = 4
16 : 4 = 4 : 1 or 16/4 = 4
So here the constant is 4 . Therefore, the constant of proportionality, k is 4.
So we can write the equation as :
y = kx
or y = 4x
Related Questions
Alice is a good gambler and always knows when to stop. Suppose in a game, in each round she has a winning probability of 0.8 and she will stop at the first loss. Try to find the upper bound on the probability that she can win at least 10 rounds using Markov's inequality.
Answers
Answer:
The answer is "0.500".
Step-by-step explanation:
The chance that round will be won, [tex]P (win) =0.8[/tex]
The likelihood of losing round by complementary law
[tex]P(loss) = 1 -P(win)\\\\[/tex]
[tex]=1-0.8\\\\=0.2\\\\[/tex]
Let X be the number of rounds to the first loss played.
Here, [tex]X \sim Geometric (p=0.2)[/tex]
The PMF of X is the following:
[tex]P(X=x)=p(1-p)^x\\\\[/tex]
[tex]=(0.2)(1-0.2)^x\\\\=(0.2)(0.8)^x, \ \ \ \ \ x=1,2,.....[/tex]
The mean of X is the geometric random variable property, [tex]E(X) =\frac{1}{P}= \frac{1}{0.2}=5\\\\[/tex]
Markov's Inequality:
Suppose X is any random variable that has no negatives. So,
[tex]P(X \geq s)\leq \frac{E(X)}{s} for s >0\\\\[/tex]
Find the upper bound of [tex]P (X \geq 10)[/tex]
[tex]P(X \geq 10) \leq \frac{E(X)}{10}[/tex]
[tex]=\frac{5}{10}\\\\=\frac{1}{2}\\\\=0.5\\\\[/tex]
The highest probability is, therefore, that Markov's inequality will win at least ten rounds: 0.500
links will get banned
Answers
Answer:
TrueStep-by-step explanation:
It's a square, so it'll have rotational symmetry.
[tex] \infty \infty [/tex]
What is the domain of the linear function below?
Y=6x+3
A. All negative numbers
B. All positive numbers
C. Integers only
D. All real numbers
Answers
Karen has a new job as a teacher's aide. Her annual salary is $26,210. What is her bi-weekly salary? Round your answer to the nearest cent.
Answers
Answer:
$1008.08
Step-by-step explanation:
biweekly is every 2 weeks
52/2 = 26
$26,210/26 = $1008.08
7. A parabola has a maximum or minimum point called the
This is the point where the
curve changes direction. If the parabola opens up, the vertex is the
point. If it opens
down, it is the
point.
a) Axis of symmetry, minimum, maximum
b) Vertex, maximum, minimum
c) Axis of symmetry, maximum, minimum
d) Vertex, minimum, maximum
Please just type which letter ASAP, no links.
Answers
Answer:
D
Step-by-step explanation:
Find the volume of a rectangular pyramid with the following dimensions.
length = 9 in ; width = 7 in ; height = 5 in
A 315
B 105
C 0157.5
D 472.5
Answers
Answer:
B
Step-by-step explanation:
like my answer please gimme the brain
Hiiii!
What's 100 X 1,000,000?
Just answer so that this doesn't get deleted, please.
Do any boys wanna talk on discord, remind, or pad let?
Any gender is fine as long as you are from the ages 13-17.
Answers
Answer:100000000
Step-by-step explanation:
5. (5 points) You have a jar full of jelly beans. You will randomly pick 2 jelly beans without replacement.The probability that you choose 2 green jelly beans is 14/95 and the probability of drawing one green jelly been is 2/5 . what is the probability of picking a second green, given the first was green?
Answers
Answer:
7/19
Step-by-step explanation:
In order to find the probability that two events happen in a sequence you simply have to multiply the probability of each individual event together. Since the probability of the sequence is given to us as well as the probability of drawing the first green jelly bean, this means we need to divide the first probability by the probability of the sequence to get the probability of the second event. Basically, reversing the process. Dividing two fractions, we simply divide the numerators by each other and then the denominators by one another.
[tex]\frac{14 / 2}{95 / 5} = \frac{7}{19}[/tex]
Therefore, the probability of picking the second green jelly bean is 7/19
how to solve 7x+(-3)=18
Answers
Answer:
x=3
Step-by-step explanation:
7x(-3)=18
add 3 to both sides
7x=21
divide by 7 on both sides
x=3
Answer:
7x+(-3)=18
7x-3=18
7x-3+3=18+3
7x=18+3
7x=21
7x/7=21/7
x=21/7
x=3
Ashley is attending a hockey game that consists of 3 periods. If it is halfway through the third period right now, what fractional part of the game is left?
Answers
Answer:
[tex]\frac{1}{6}[/tex] of the game is left.
Step-by-step explanation:
A hockey game has 3 periods.
Now, it is halfway through two periods, which means that 2 + 0.5 = 2.5 periods have been played.
Amount remaining:
Total of 100% = 1, subtracted by the fraction played, which is 2.5 of 3 = 5 of 6. So
[tex]1 - \frac{2.5}{3} = 1 - \frac{5}{6} = \frac{6 - 5}{6} = \frac{1}{6}[/tex]
[tex]\frac{1}{6}[/tex] of the game is left.
the differences of 4 and a number x is 14
Answers
Answer:
x=18
Step-by-step explanation:
x-4=14
+4 +4
x=18
Triangle ABC is taken to triangle ABC by a dilation. Which of these scale factors for the dilation would result in an image that was larger than the original figure?
A)3/5
b)13/17
c)1
D)4/3
Answers
Answer:
D
Step-by-step explanation:
you would see this as correct because it has a larger numerator than its denominator.
Jamal is a real estate agent who earns a 4.5% commission on her sales. If she sells a home worth $250,000, what is her commission?
A) $10,450
B) $11,250
C) $12,150
D) $12,850
Answers
Answer:
B 11,250
Step-by-step explanation:
Answer:
11,250
Step-by-step explanation:
A bag contains. 7 red, 8 blue, 2 green, 5 black, and 3 yellow marbles. A marbles will be drawn from the bag and replaced 175 times. what is the reasonable prediction for the number of times a yellow or green marble be drawn?
A. 35
B. 25
C. 5
D. 7
Answers
Answer:
A. 35
Step-by-step explanation:
The total number of marbles is 25
The number of green & yellow marble is 5
The probability of getting a yellow or green marble (if drawn once) = 5/25
So, if drawn 175 times, 5×175/25 = 35
Select the ordered pair that is a solution to the function. (A point on the line.)?
A) 5
B) -5
C) -7
D) 7
Answers
Answer:
-7
Step-by-step explanation:
first you plug in f(3) in the x so -2(3)= -6
then -6 - 1 = -7
1) Is this relation a function? WHY or WHY NOT?
X
-1
у
-8
5
9
-9
7
-8
-6
5
4
Answers
Answer:
yes its a function because the x side doesnt repeat itself
Step-by-step explanation:
Answer:
Yes.
Step-by-step explanation:
99+72 = 9( ? +8) \
Pls help
Answers
Select all relations that represent a function.
A.
{(–4, 3),(–2, 4),(0, 1),(–4, –1)}
B.
{(5, 7),(2, 7),(9, 7),(8, 0)}
C.
{(3, 11),(–4, 5),(3, –1),(0, 0)}
D.
{(8, 0),(1, 4),(9, 4),(7, 8)}
E.
{(–5, 4),(–4, 3),(–3, 2),(–2, 1)}
F.
{(0, 0),(–1, 3),(–1, –1),(0, 5)}
Answers
Answer:
Hi! The answer to your question is B, D, and E
Step-by-step explanation:
☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆
☆Brainliest is greatly appreciated!☆
Hope this helps!!
- Brooklynn Deka
Answer:
D
Step-by-step explanation:
because the other answers do not have a function A,B,C,E, and f are not a function because the numbers are repeating in the same axis
how many unique triangles can be drawn with side lengths of 3 units, 4 units, and 5 units
Answers
Answer:
1 perfect right angle
Step-by-step explanation:
please mark this answer as brainlest
find the perimeter of the figure
Answers
Answer:
(19x+10)/2
Step-by-step explanation:
Perimeter of the figure is the sum of all the sides
Perimeter of the figure = 4x+3 + x+2+2x+2 + x/10 -1 + 2x/5 + 2x-1
Perimeter of the figure = 4x+x+2x+2x+x/10+2x/5 + 3 + 2 + 2 -1-1
Perimeter of the figure = 9x + (x+4x)/10 + 5
Perimeter of the figure = 9x + 5x/10 + 5
Perimeter of the figure = 9x + x/2 + 5
Perimeter of the figure = (18x+x)/2 + 5
Perimeter of the figure = 19x/2 + 5
Perimeter of the figure = (19x+10)/2
At a garage sale, Samuel purchased used books and DVDs. He bought a total of 18 items and spent $11. Each book cost $0.50 and each DVD cost $0.75. How many books did Samuel purchase?
Answers
Answer: 10 books
Step-by-step explanation:
Let the number of books bought be represented by x.
Let the number of dvds bought be represented by y.
The information given in the question can be formed into an equation as:
x + y = 18 ........ i
0.50x + 0.75y = 11 ....... ii
Multiply equation i by 0.75
Multiply equation ii by 1
0.75x + 0.75y = 13.50 ........ iii
0.50x + 0.75y = 11 ........ iv
Subtract iv from iii
0.25x = 2.50
x = 2.50/0.25
x = 10
Samuel bought 10 books
Costas has an after school job. He budgets his money, allowing 0.31 of his earnings for food and 0.58 of his earnings for entertainment. The rest of the money he saves. If he earns $67.50 per week, which is the best estimate of the amount of money he saves each week ?
Answers
Answer: the amount of money he saves a week is $19.56
Step-by-step explanation: I am assuming that you mean percent so you subtract the percentages ($67.50 - 58%) - 31% This should give you a remaining amount of $19.56
Which of the following points lies on the graph of y=x^2-5?
Answers
Answer:
(-2,-1)
Step-by-step explanation:
The point (-2, -1) lies on the graph of y=x²-5
What is Graph?Graph is a mathematical representation of a network and it describes the relationship between lines and points.
The given function is y=x²-5
A relation is a function if it has only one y-value for each x-value.
We have to find the points which lies on the graph of y=x²-5
The graph is a parabola which has vertex of (0, -5)
Let us find few points of function
When x=-2, y=-1
When x=0, y=-5
when x=1, y=-4
when x=2, y=-1
when x=3, y=4
when x=4, y=11
when x=5, y=20
Hence, the point (-2, -1) lies on the graph of y=x²-5
To learn more on Graph click:
https://brainly.com/question/17267403
#SPJ2
HELPPPPPPPPPP!!!!!!!!!
Answers
Answer:
100 hours
Step-by-step explanation:
can i get brainlist
Answer:
100
Step-by-step explanation:
80-1800
90-1900
100-2000
Need help asap !!!! It also said round to the nearest tenth
Answers
Answer:
4524.9
Step-by-step explanation:
Area of a parallelogram:
A = bh
A = 63 x 90
A = 5670
Area of half-circle:
A = (πr²)/2
A = (π x 27²)/2
A = (π x 729)/2
A = 729/2π
Combined:
5670 - 729/2π
4524.9
Christine has a bookcase with 21 books. There are 7 shelves in the bookcase. Each shelf has the same number of books. How many books does each shelf have?.
Answers
Answer:
3 books
Step-by-step explanation:
You divide 21 by 7 to equally distribute the books on each shelf.
Covert 50 °F to °C
°C = ( 50 -32)
Answers
Answer:
50 Fahrenheit (F) 10 Celsius (C)
1 F = -17.222 C 1 C = 33.800 F
Answer:
50 Fahrenheit (F) 10 Celsius (C)
1 F = -17.222 C 1 C = 33.800 F
What is the slope of the line that passes through
the equation -6x - 4y = -5?
Answers
-6x-4y=-5
We have to get here —> y=mx+b ,so
-4y=6x-5
-y=6/4x-5/4
-y=3/2x-5/4
y=-3/2x+5/4
And the slope = -3/2
The DrJocker
9x -5y = 16
-3x + 7y = 16
-4x - 2y = 14
10x - 7y = 25
Answers
I need help with this pls
Answers
Answer:
JanetStep-by-step explanation:
Because janet daily step count is 5000-9000And brends step count is7000-10000Janat step count is 1000 greater than brenda.Please mark me brainalist.