The equation y = 12x represents a proportional relationship. What is the
constant of proportionality? will give brainliest
Answers
Answer:
D
Step-by-step explanation:
Proportional relationships come in the form
[tex]y=kx[/tex]
and [tex]k[/tex] is the constant of proportionality. By comparing the general case [tex]y=kx[/tex] and your specific case [tex]y=12x[/tex], you can see that in your case [tex]k=12[/tex].
In the equation y = 12x the constant of proportionality is D. 12.
What are ratio and proportion?A ratio is a comparison between two similar quantities in simplest form.
Proportions are of two types one is the direct proportion in which if one quantity is increased by a constant k the other quantity will also be increased by the same constant k and vice versa.
In the case of inverse proportion if one quantity is increased by a constant k the quantity will decrease by the same constant k and vice versa.
Let y = kx.
∴ k = y/x.
Given, y = 12x.
12 = y/x.
So, the constant of proportionality is 12.
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Related Questions
Dec 23, 8:45:08 PM
Find three consecutive POSITIVE ODD integers such that when you multiply the first
and third the result is nine less than six times the second integer.
Answers
Answer:
The three consecutive POSITIVE ODD integers are: 3, 5 and 7
Step-by-step explanation:
If x is an integer, then there consecutive positive odd integers are:
x , x + 2, x + 4 are three consecutive integers.
Where
First integer, a = x
Second integer, b = x + 2
Third integer, c = x + 4
We are told to:
Find three consecutive POSITIVE ODD integers such that when you multiply the first and third the result is nine less than six times the second integer.
Hence, this is represented as:
a × c = 6(b) - 9
Where
a = x
b = x + 2
c = x + 4
x (x + 4 ) = 6(x + 2) - 9
x ² + 4x = 6x + 12 - 9
x² +4x - 6x - 12 + 9= 0
x² - 2x - 3 = 0
Factorising
x² +x - 3x - 3 = 0
x (x + 1) -3(x + 1) = 0
(x - 3) (x + 1) = 0
x - 3 = 0
x = 3
x + 1 = 0
x = -1
Since, x cannot be negative for this question, x = 3
First integer, a = x = 3
Solving for:
Second integer, b = x + 2
b = 3 + 2 = 5
Solving for :
Third integer, c = x + 4
c = 3 + 4 = 7
Therefore, the three consecutive POSITIVE ODD integers are: 3, 5 and 7
what is the perimeter of polygon lmnpq?
Answers
Answer:
The total distance of the outer sides of a closed figure is known as the perimeter. It is the total length of all sides of a polygon. Perimeter = Sum of all sides.
Formula:
The sum of interior angles of a polygon with “n” sides =180°(n-2) Number of diagonals of a “n-sided” polygon = [n(n-3)]/2. The measure of interior angles of a regular n-sided polygon = [(n-2)180°]/n. The measure of exterior angles of a regular n-sided polygon = 360°/n.
Step-by-step explanation:
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Molly shot 20 baskets in 4 minutes. Nico shot 42 baskets in 6 minutes. How many more baskets did Nico shoot per minute?
Answers
Answer:
2
Step-by-step explanation:
Molly:
20 baskets / 4 minutes = 5 baskets/minute
Nico:
42 baskets / 6 minutes = 7 baskets/minute
7 - 5 = 2
Answer: 2
Answer:
Step-by-step explanation:
Ratio....
M = 20:4
N = 42:6
Slope....
M = 5 shots per minutes
N = 7 shots per minutes
Nico shot 2 more baskets per minute than Molly did
Hope this helped!
divide and simplify 6/7÷(-13/2)
Answers
Answer: -12/91
Step-by-step explanation:
6/7 ×-2/13=-12/91
What is Eight times the sum of a number and -192 gives 96?
Answers
Answer:
Step-by-step explanation:
8x-192=96
8x-192+192=96+192
8x=288
8x/8=288/8
x=288/8
36
The unknown number is 204.
Important Information:
Eight times the sum of a number and -192 gives 96Linear equation:Let [tex]x[/tex] be the unknown number.
Sum of a number and -192 is
[tex](x+(-192))=x-192[/tex]
Eight times the sum of a number and -192 gives 96.
[tex]8(x-192)=96[/tex]
Divide both sides by 8.
[tex]x-192=12[/tex]
[tex]x=12+192[/tex]
[tex]x=204[/tex]
Therefore, the unknown number is 204.
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two planes travel a constant speed. plane A travels 2.800 miles in 5 hours plane B travels 3.885 miles in 7 hours. which plane is faster?
Answers
Have a good day!!!
Help me with this question ASAPPPP!!!!!!!
Answers
Answer:
B
Step-by-step explanation:
I think its B
Hope this helps!
what is the difference between 75.847 and 47.964?
Answers
Answer:
27.883
Step-by-step explanation:
75.847
-47.964
27.883
hope this helps :)
Show that the three points whose position vectors are 7j+ 10k,-i + 6j+6k and - 4i + +9j + 6k form an isosceles right
angled triangle.
Answers
Answer:
AB = √18 , BC=√18 and CA =4
AB²+BC² = CA² and AB=BC
ΔABC isosceles right angled triangle.
Step-by-step explanation:
Given vectors are 7j+ 10k,-i + 6j+6k and - 4i + +9j + 6k
A( 0,7,10), B( -1,6,6) C(-4,9,6)
AB⁻ = OB-OA = -I+6j+6k-(7j+10k) = -I-j-4k
AB = [tex]\sqrt{1+1+16} = \sqrt{18}[/tex]
BC = OC-OB = -4i+9j+6k-(-I+6j+6k) = -3i+3j
BC=[tex]\sqrt{9+9} =\sqrt{18}[/tex]
CA = OA-OC = 7j+10k - (- 4i + +9j + 6k ) = 4i-2j+4k
CA = [tex]\sqrt{16+4+16} =\sqrt{36} =4[/tex]
Since AB²+BC² = CA²
And AB=BC
Therefore it follows that ΔABC is a right angled isosceles triangle
Determine whether the statement below is true or false. Justify the answer. An orthogonal matrix is invertible. Choose the correct answer below. A. The statement is false. Only nonzero orthogonal matrices are invertible. B. The statement is false. Only orthogonal matrices with orthonormal rows are invertible. C. The statement is true. An orthogonal matrix is a square invertible matrix U such that . D. The statement is true. An orthogonal matrix is a square invertible matrix U such that
Answers
Answer:
not so sure about this one
What is the difference between -4 and 6
-10
-2
2
10
Mark brainly if ur right please help ASAP
Answers
Hey,
Answer:
2 and -2
Good luck :)
Which ordered pair is a solution of this equation? x - 7y = -3
Answers
Answer:
Step-by-step explanation:
(-3,0)
Write the equation of a line that passes through (-2,6) and 1,-6)
Answers
(-6-6)/(1+2) = -12/3 = -4
Format: y = -4x + b
Plug in one point
6 = -4(-2) + b
6 = 8 + b, b = -2
Answer: y = -4x - 2
Answer: y=−2−4x
Check: Put 1,6 in the equation, -6 = -2-4(1). After solving, you get -6 (Check) So this equation is correct. Stay safe, and Happy Holidays!
Solve the following systems of equations by graphing. Write your answer in the form of (x, y).
y = x + 8 and y = 5x + 4
Answers
Answer:
(x,y) = (1,9)
Step-by-step explanation:
y = x + 8 and y = 5x + 4
2. Maria lives in Honduras. She is applying for a microcredit loan to start a street food business. The start-up costs for her business include $65 for the cart and 8900 for a freezer, plus the cost of bulk foods. She estimates her total start-up cost will be $1,053. a. If b represents the cost of the bulk foods, write and solve an equation to find the cost of the bulk foods Maria plans to buy. b. Maria has monthly costs of $420 and expects monthly sales of $725. Use the formula PMR-C), where P represents profit, R represents monthly revenue or sales, and represents monthly costs, to find the number of months it will take her to make $2,000 in profit. 3. An organization has raised $5,000 that it would like to use to provide $200 microloans to residents of a particular community. Of the $5,000 they raised, $400 must be used for administrative costs like the salaries of employees who set up the loans and the paperwork required. Write and solve an equation to determine how many microloans the organization can provide
Answers
Answer: girl/dude/they/them, that's a lot to read....
Step-by-step explanation:
Question 4 of 5
Find the length of side a
O A 1
O B. 25
O C. 5
O D. V313
Answers
Answer: 5
Step-by-step explanation:
It’s half
A box contains 2 red crayons, 6 blue
crayons, 5 green crayons, 9 yellow crayons,
and 3 purple crayons. A crayon is drawn
at random, not replaced, then another is
drawn. Find each probability,
P(yellow, then green)
P(both blue)
Answers
Answer:
yellow 9/25
yellow and green is 14/25
Using it's concept, it is found that the probabilities are given as follows:
P(yellow, then green) = 0.075 = 7.5%.P(both blue) = 0.05 = 5%.What is a probability?A probability is given by the number of desired outcomes divided by the number of total outcomes.
In this problem, 9 out of 25 are yellow, then 5 out of 24 will be green, hence:
P(yellow, then green) = 9/25 x 5/24 = 45/(25 x 24) = 0.075 = 7.5%.
For both blue, we have that they are, respectively, 6 out of 25 and 5 out of 24, hence:
P(both blue) = 6/25 x 5/24 = 30/(25 x 24) = 0.05 = 5%.
More can be learned about probabilities at https://brainly.com/question/14398287
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Find an equation of the line that has a slope of -1 and a y intercept of 6. Write your answer in the form y=mx+b
Answers
Answer:
y = -x + 6
General Formulas and Concepts:
Algebra I
Slope-Intercept Form: y = mx + b
m - slope b - y-interceptStep-by-step explanation:
Step 1: Define
Slope m = -1
y-intercept b = 6
Step 2: Write Equation
Substitute in variables into the general form
y = -1x + 6
y = -x + 6
Answer is :
y = -x + 6!!!!
Step-by-step explanation:
Dwayne is going on a hike to the top of a mountain. It will take 3 hours and 40 minutes to hike up the mountain and 1 hour and 50 minutes to hike back down. If Dwayne wants to finish the hike by 1:45 P.M., what is the latest time he can start the hike up the mountain?
Include A.M. or P.M. in your answer. Please help me fast !!!
Answers
Answer: 8:15Am
Step-by-step explanation:
Explanation: I added together the 3 hours and 40 minutes with 1 hour and 50 minutes. I got a total of five hours and thirty minutes
I then subtracted five hours and thirty minutes from 1:45 pm and I got 8:15 am.
Interest of $1,632 with principal of $16,000 for 306 days (ordinary interest) results in a rate of
Answers
Answer: 12%
Step-by-step explanation:
Find the exact value of each trigonometric function tan -630
Answers
Answer:
1tan is 10sin
OK OK OK.
follow please
Question in picture below Will give brainly
Answers
Answer:
J 120
Step-by-step explanation:
6.
Triangles TUV and TWV are congruent triangles.
Angles U and W are corresponding angles, so they are congruent.
m<U = m<W
7x + 15 = 8x
Subtract 7x from both sides.
15 = x
m<U = 7x + 15 = 7(15) + 15 = 8(15) = 120
Answer: J 120
How do you know whether two quantities x and y are proportional?
Answers
Answer: first one
Step-by-step explanation:
Answer:
First one
Step-by-step explanation:
WILL GIVE BRAINLIEST IF CORRECT!!
Adam and Simon start on bicycle trips from the same point at the same time. Adam travels east at 8mph and Simon travels south at 6mph. After how many hours are they 60 miles apart?
Answers
Answer:
4 miles
Step-by-step explanation:
Answer:
6 hours
Step-by-step explanation:
pythagroeom therom
The owner of a local golf course wants to examine the difference between the average ages of males and females that play on the golf course. Specifically, he wants to test if the average age of males is greater than the average age of females. If the owner conducts a hypothesis test for two independent samples and calculates a p-value of 0.0095, what is the appropriate conclusion
Answers
Answer:
Result is significant ; hence we can conclude that the average age of male is greater than that of females.
Step-by-step explanation:
Given that:
Let :
u1 = mean age of male
u2 = mean age of female
Null hypothesis : H0 : u1 = u2
Alternative hypothesis : H1 : u1 > u2
P value for hypothesis test conducted = 0.0095
Using a significant level α 0.05 or 0.01, :
The P value < α
Since, the P-value is less than α, then the result is significant and we thus we can reject the Null and conclude that the average age of males is greater Than that of females that play on the golf course.
pt.2 for find tge unknown
Answers
Answer:
[tex]c = 65[/tex]
[tex]x = 158[/tex]
Step-by-step explanation:
In the first triangle, one of the angles are already given to us, the 25. But the other angle is 90 degrees because it's a right angle. A right angle measures 90 degrees. We now add both the numbers together and subtract it from 180 to find the answer. We are subtracting it from 180 because a triangle equals 180 degrees.
[tex]90 + 25 = 115 \\ 180 - 115 = 65[/tex]
In the second triangle, one of the angles are already given to us, the 68. But the other angle is 90 degrees because it's a right angle. A right angle measures 90 degrees. We now add both the numbers together and subtract it from 180 to find the answer. We are subtracting it from 180 because a triangle equals 180 degrees.
[tex]68 + 90 = 158 \\ 180 - 158 = 22[/tex]
We figured out all the angles inside the triangle.
68, 90, and 22. We need to find the exterior angle. Remmeber that Consecutive angles are supplementary. The 22 and the x are one a straight line. A straight line equals 180 degrees. You are going to subtract 22 from 180 to get your answer.
[tex]180 - 22 = 158[/tex]
If you wanted to write it as an equation and solve it, it would be:
[tex]22 + x = 180[/tex]
Among 75 students in epidemiology class, 3 are obese per their BMI on a survey. This survey also collected information about how often students eat Krispy Kreme donuts. Seven students indicated they eat donuts daily. Of those eating donuts daily, 2 are in the obese group. Calculate the appropriate measure of association for the possible association between daily donut eating and obesity and enter your calculated result.
Answers
Answer:
2/7 become obese by eating it every day.
Step-by-step explanation:
In an animal shelter, the ratio of dogs to cats is 5 to 3. There are 25 dogs. Write and solve a proportion to find the number of cats.
Ο 18
Ο 21
Ο Ο Ο Ο
Ο 15
Ο 16
Answers
Have a good day!
Answer:
15 cats
proportion 3x : 5x
in this case x= 5
Step-by-step explanation:
divide 25 by 5
=5
now you know the factor is 5
multiple 3 by 5
=15
What is the quotient of 8,187 ÷ 24? (2 points)
341 R 3
341 R 7
409 R 3
409 R 7
Answers
if you round the answer to the nearest tenth, it would be 341.1
are you sure those are the correct options? because the answer would be 341 R 1
If Sarah has 30 bills in her wallet worth $240, all fives and tens, how many of each bill does she have? Show work if possible
Answers
Answer:
Step-by-step explanation:
The total number of fives bills is 12 and the total number of tens bills is 18 and this can be determined by forming the linear equations.
Given :
Sarah has 30 bills in her wallet worth $240, all fives and tens.
The following steps can be used in order to determine the total number of fives bill and tens bills:
Step 1 - Let 'x' be the total bills of fives and 'y' be the total bills of tens.
Step 2 - The linear equation that represents the total number of bill is given by:
x + y = 30
x = 30 - y --- (1)
Step 3 - Now, the linear equation that represents the total amount of the bill is given by:
5x + 10y = 240 ---- (2)
Step 4 - Substitute the value of 'x' in equation (2).
5(30 - y) + 10y = 240
150 - 5y + 10y = 240
5y = 90
y = 18
Step 5 - Substitute the value of 'y' in equation (1).
x = 30 - 18
x = 12
So, the total number of fives bills is 12 and the total number of tens bills is 18.
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