The graph shows the number of quarts picked and the amount of money the customer paid.
Part A
What is the constant of proportionality, and what does it mean in this situation?
Answers
Answer:
Constant of proportionality k = 3.5
In our case, We can say that Amount of 1 quart is $3.5, and as the number of quarts bought are increased the amount paid is also increased at rate of $3.5.
Step-by-step explanation:
We need to find what is the constant of proportionality, and what does it mean in this situation?
Constant of proportionality can be defined as:
[tex]if\:y\:\alpha \:x\:then\:y=kx[/tex]
Where k is constant of proportionality
It tells that there is constant increase in the value of y.
Looking at the graph,
we get Number of Quarts (x) = 1, Amount Paid (y)= 3.5
so, finding constant of proportionality
[tex]y=kx\\3.5=k(1)\\k=3.5[/tex]
Now, Number of Quarts (x) = 2, Amount Paid (y)=7
so, finding constant of proportionality
[tex]y=kx\\7=k(2)\\k=\frac{7}{2}\\k=3.5[/tex]
So, for any value of x and y, the value of k remains constant i.e 3.5
So, constant of proportionality k = 3.5
In our case, We can say that Amount of 1 quart is $3.5, and as the number of quarts bought are increased the amount paid is also increased at rate of $3.5.
Related Questions
Which of the following expressions has a solution of 7 ? *
7 – 3 x (2 + 6)
(7 – 3) x 2 + 6
7 – (3 x 2) + 6
Answers
Answer:
the last one
Step-by-step explanation:
I hope this helps :)
Answer:
The last one I mean C ig
Step-by-step explanation:
7 - (3x2) + 6
A small pot holds 25% as much dirt as a large pot. If the small pot holds 8 cups of dirt, How many cups of dirt does the large pot hold
Answers
Given :
A small pot holds 25% as much dirt as a large pot.
To Find :
If the small pot holds 8 cups of dirt, How many cups of dirt does the large pot hold.
Solution :
It is given that small pot holds 25% as much as dirt.
It means that large pot can hold 4 times as small pot.
Let, large pot holds x cups of dirt.
[tex]x = 4\times 8\\\\x = 32 \ cups[/tex]
Therefore, large pot holds 32 cups.
Given a1 = 1 and an = an-1 + 2. Find a7.
A 9
B 11
C 7
D 13
Answers
Answer:
7
Step-by-step explanation:
Sorry if my answer is wrong
10k+7k2+4k2–6k
simplify the expression
Answers
[tex]10k + 7k2 + 4k2 - 6k \\ 10k + 14 + 4k \\ = 14k + 14[/tex]
your welcome and give me brainlest
1+10+4+10y–7 what is simplified
Answers
Answer:
[tex]1 + 10 + 4 + 10y - 7[/tex]
[tex] = 8 + 10y[/tex]
Answer:
2(4+5y)
Step-by-step explanation:
1+10+4+10y–7 (calculate)
8+10y (factor the expression)
solution: 2(4+5y)
hope this helps!
Suppose y varies directly as x. If x = 27 when y = 6, find x when y = 2.
Answers
0.22
Step-by-step explanation:
y=kx
6=27k6/27=kk=0.22y=0.22*2y=0.44Write the trinomial in factored form (as the product of two binomials)
x^2 -3x -18
Answers
Answer:
(x+2) (x+1)
Step-by-step explanation:
Answer:
( x + 3 )(x - 6)
Step-by-step explanation:
if you factor x2−3x−18
x2−3x−18
The middle number is -3 and the last number is -18.
Factoring means we want something like
(x+_)(x+_)
Which numbers go in the blanks?
We need two numbers that...
Add together to get -3
Multiply together to get -18
Can you think of the two numbers?
Try 3 and -6:
3+-6 = -3
3*-6 = -18
Fill in the blanks in
(x+_)(x+_)
with 3 and -6 to get...
(x+3)(x-6)
If
1+3= 12
2+7=27
5+6 = 90
then 3+5= ?
Answers
Answer:
8
Step-by-step explanation:
3+5=8
y=1/2-2
find the y-intercept
find the x-intercept
Answers
Y-intercept: -3/2
Instructions: Find the measurement of the diagonal indicated in the following parallelogram.
Answers
Answer:
your mom
Step-by-step explanation:
Why is 2x 3/4 less than 2?
Answers
Answer & Step-by-step explanation:
It is less because 2 times 3/4 is the same as 2/1 times 3/4 which is 6/4 then simplify it and you get 3/2 which then is 1 1/2.
That is why 2 times 3/4 is less than 2.
Hope that helps ;)
can you answer me please
Answers
Answer: 1. 10 2. 18
Step-by-step explanation:
1.) 25% of 40 is 10 so she made 10 free throws.
2.) 150% of 12 is 18 so she made 18 free throws.
It is very blurry.. please try asking the question again for me to see.
(-3, 0) to polar form.
Answers
9514 1404 393
Answer:
(3; 180°)
Step-by-step explanation:
The point (-3, 0) is located on the -x axis at a distance of 3 units from the origin. The -x axis is at an angle of 180° CCW from the +x axis. So, the polar coordinates are ...
r = 3
θ = 180°
This might be written as ...
(r; θ) = (3; 180°) = (3; π radians)
Is (3,9) a solution to this system of equations?
6x - 20y = -16
7x - 3y = -6
Answers
Answer: no. it doesn’t match for the first one but it does for the second.
Step-by-step explanation:
describe the reflection of the figure
Answers
Answer:
Reflection across the A axis
answer number 3 pls my homework
Answers
Answer:
0.59
Step-by-step explanation:
Logan wants to save 35% of his weekly paycheck he earns $125 a week how much does he plan to save each week enter the correct answer in the box
Answers
Answer:
35%
Step-by-step explanation:
Logan wants to save 35% of his weekly paycheck he earns $125 a week how much does he plan to save each week enter the correct answer in the box, he wants to save 35%, how much does he plan to save, 35% easy. JK its 125 - 81.25 which is $43.75.
If 1 yard=3 feet and 1 mile = 5,280 feet, how many yards are there in 5 miles
Answers
Answer:
There are 3520 yards in 2 miles
Answer:
There are 3520 yards in 2 miles
Step-by-step explanation:
Find x & y so that quadrilateral is a parallelogram. (Look at image)
Answers
Answer:
x = 5° y = 75
Step-by-step explanation:
Here given it is a quadrilateral
105° + y = 180° ( being co-interior angles)
y = 180° - 105°
y = 75°
Now
15x + 105° = 180° (being co-interior angles)
15x = 180° - 105°
15x = 75°
x = 75° / 15
x = 5°
Hope it will help :)❤
what is the solution s to the quadratic equation 9x squared equals 4
Answers
Answer:
the solutions to the equation 9x^2=4 is -2/3 and 2/3
Step-by-step explanation:
why are you reporting my answer when its correct
Math problem
Math problem Math problem
Answers
Answer:
93.69 Ft for fencing
Explanation:
So first find the perimeter for the rectangle (what is exposed)
SO its 17+25+25=67
Now we need to find the Circumference of the circle (perimeter of circle)
SO circumference formula is just
π*d
So in this case 17 *3.14 is 53.38
53.38 is the full Circumfrnce but divide that by 2 due to the circle being only half exposed
53.38/2=26.69
Now 26.69+67= 93.69 ft
For perimeter
Answer:
soit should angle + angle
Step-by-step explanation:
because what number they are you have to add both of the first numbers then you have too add the second two times
Given that (x + 2) is a factor of f(x), what is the value of f(-2)? Explain how you know.
Answers
Answer:
f(-2) = 0
Step-by-step explanation:
well we can express f(x) as follows
[tex]f(x) = (x+2)Q(x)\\\\[/tex]
we don't need the value of q(x) (for this exercise)
now evaluate when x = -2
[tex]f(-2)=(-2+2)Q(-2)\\\\f(-2)=0(Q(-2))\\\\f(-2) = 0[/tex]
Find the unit rate of miles 1/5 in 1/65hour
Answers
Answer: 13 miles per hour
Step-by-step explanation:
1/5mi=1/65hr
65/5mi=hr
13mi hr
TIMED PLEASE HURRY :)
A therapist is studying the effects of meditation and yoga on reducing stress. He offers the treatments to a random sample of 30 of his patients and lets them choose which treatment they want to use.
Which of the following statements is not true about this experiment?
A The therapist let the patients choose the treatment; therefore, he will not be able to tell which treatment is more effective.
B The therapist used a random sample of 30 of his patients; therefore, he will be able to tell which treatment is more effective, yoga or meditation, in reducing stress.
C The therapist did not use random assignment; therefore, the variability between the patients is not evened out, and he will not be able to tell which treatment is more effective.
D The therapist used a random sample; however, the patients may choose which treatment they prefer, and their stress would be reduced due to their preference instead of the treatment.
Answers
Answer:
I think it is b
sorry it took so long I just seen your question
As per the question, the therapist is studying the effect of the meditation and yogi exercises on reducing the stress. He offers a Radom sample of 30 people to his patients and allows them to pick the treatment.
As the therapist uses a random sample of 30 thus the patients will be able to treatment is more effective and helps directly in reducing the stress levels.Hence the option B is correct.
Learn more about the therapist is studying the effects of meditation and yoga.
brainly.com/question/21873857.
What is the slope of the line represented by the equation y = 4/5x-3
Answers
Mx = slope
B = y-intercept
So slope of the line is 4/5
*just pick one with the x and your good
Answer:
slope = [tex]\frac{4}{5}[/tex]
Step-by-step explanation:
The equation [tex]y = \frac{4}{5} x -3[/tex] is already written in slope-intercept form, or [tex]y = mx + b[/tex]. In this form, the number in place of the [tex]m[/tex] represents the slope. In this equation, the [tex]\frac{4}{5}[/tex] takes the place of that [tex]m[/tex], so the slope would be [tex]\frac{4}{5}[/tex].
In a class of 23 students, 12 have a cat and 6 have a dog. There are 2 students who
have a cat and a dog. What is the probability that a student who has a cat also has a
dog?
Answers
Answer:
2/23
Step-by-step explanation:
I think it's because there's 2 students out of 23 students who have a cat and a dog. So, I'm assuming the answer is 2/23
Answer:
2/12
Step-by-step explanation:
is y=4x+2 proportional?
Answers
Answer: yes
Step-by-step explanation:
Felipe is making goody bags for the students in his class. He has 32 cookies and 24 candies to put in the bags. He wants to put an equal number of cookies and candies in each bag. What is the greatest number of bags that he can make for his students.
Answers
Answer:
I think HCF of 32 and 24=8
What is 11/4 as a mixed number
Answers
Answer:
34
Step-by-step explanation:
Answer:
2.75 round it up 3
Step-by-step explanation:
divide 11 to 4
PLS HELP PLS PLS PLS WILL MARK BRAINLIEST
select the table representing a Linear function. (graph them if necessary)
Answers
It’s going down by the same rate of change, 2.