Answers
The constant of proportionality, given that this is a proportional relationship, is 11. 7
How to find the constant of proportionality?To find the constant of proportionality, the following formula is used :
= Y value / Corresponding x value
The constant of proportionality can only be found for proportional relationships.
In this instance, we have x and y of ( 7, 81. 9 ).
The constant of proportionality is:
= 81 .9 / 7
= 11. 7
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Related Questions
Martha spent $12.35 at the local farmer's market. She bought 3 bundles of collards and paid $4.30 for some fruit. How much did each bundle of collards cost?
Answers
Answer:
12.35-4.30=8.05
8.05÷3= 2.68333333333333....
≈2.68
Someone help please!
X+3y=-7 5x+6y=-8
Answers
Step-by-step explanation:
I have used substitution method here to find the value of x and y.
PLEASE HELP WILL MARK BRAINLY
Use a ratio box to solve this problem: Five hundred fifty students attended the assembly. If the ratio of boys to girls in the assembly was 6 to 5, how many girls attended the assembly?
Answers
Answer:
250 girls
Step-by-step explanation:
Please let me know if you want me to write an explanation for my answer :)
What’s 12 times 12divided by 58 ?
Answers
144 / 58 = 2.66
Answer:
2.48........is your answer
Step-by-step explanation:
12×12 =144
144÷58
What is the slope of a line perpendicular to the line whose equation is 4x−y=9. Fully reduce your answer.
Answers
Answer:
slope of given line is 4.
so slope of line perpendicular to it will be -1/4
Quadrilateral JKLM has vertices at J(0,0), K(0,6), L(9,12), and M(12,0). Find the vertices of the quadrilateral after a dilation with scale factor 2/3.
Answer choices
J'(0, 0), K'(0, 9), L'(27/2, 18), and M'(18, 0)
J'(0, 0), K'(0, 4), L'(6, 8), and M'(8, 0)
J'(0, 0), K'(0, −4), L'(−6, −4), and M'(−8, 0)
J'(2/3, 2/3), K'(2/3, 20/3), L'(9/3, 38/3), and M'(38/3, 2/3)
Answers
Answer:
The vertices of the quadrilateral after a dilation with scale factor [tex]\frac{2}{3}[/tex] are [tex]J'(x,y) = (0,0)[/tex], [tex]K'(x,y) = (0,4)[/tex], [tex]L'(x,y) = (6, 8)[/tex] and [tex]M'(x,y) = (8,0)[/tex].
Step-by-step explanation:
Let suppose that center of dilation is located at origin, that is [tex]O(x,y) = (0,0)[/tex]. Vectorially speaking, dilation is described by following expression:
[tex]D'(x,y) = O(x,y) + r\cdot [D(x,y)-O(x,y)][/tex] (1)
Where:
[tex]O(x,y)[/tex] - Center of dilation.
[tex]D(x,y)[/tex] - Original point.
[tex]D'(x,y)[/tex] - Dilated point.
[tex]r[/tex] - Dilation factor.
If we know that [tex]O(x,y) = (0,0)[/tex], [tex]r = \frac{2}{3}[/tex], [tex]J(x,y) = (0,0)[/tex], [tex]K(x,y) = (0,6)[/tex], [tex]L(x,y) = (9,12)[/tex] and [tex]M(x,y) = (12,0)[/tex], then the dilated points are, respectively:
[tex]J'(x,y) = O(x,y) + r\cdot [J(x,y)-O(x,y)][/tex]
[tex]J'(x,y) = (0,0) +\frac{2}{3}\cdot [(0,0)-(0,0)][/tex]
[tex]J'(x,y) = (0,0)[/tex]
[tex]K'(x,y) = O(x,y) + r\cdot [K(x,y)-O(x,y)][/tex]
[tex]K'(x,y) = (0,0)+\frac{2}{3}\cdot [(0,6)-(0,0)][/tex]
[tex]K'(x,y) = (0,4)[/tex]
[tex]L'(x,y) = O(x,y) +r\cdot [L(x,y)-O(x,y)][/tex]
[tex]L'(x,y) = (0,0) + \frac{2}{3}\cdot [(9,12)-(0,0)][/tex]
[tex]L'(x,y) = (6, 8)[/tex]
[tex]M'(x,y) = O(x,y) +r\cdot [M(x,y)-O(x,y)][/tex]
[tex]M'(x,y) = (0,0) +\frac{2}{3}\cdot [(12,0)-(0,0)][/tex]
[tex]M'(x,y) = (8,0)[/tex]
The vertices of the quadrilateral after a dilation with scale factor [tex]\frac{2}{3}[/tex] are [tex]J'(x,y) = (0,0)[/tex], [tex]K'(x,y) = (0,4)[/tex], [tex]L'(x,y) = (6, 8)[/tex] and [tex]M'(x,y) = (8,0)[/tex].
Option B will be the correct option.
Dilation of a point about the origin by a scale factor 'k',If a point (a, b) is dilated by a scale factor 'k' about the origin, coordinates of the image point will be,
(a, b) → (ka, kb)
Following the rule for dilation,
If a quadrilateral J(0, 0), K(0, 6), L(9, 12) and M(12, 0) is dilated by a scale factor [tex]\frac{2}{3}[/tex], coordinates of the image points will be,
[tex]J(0,0)\rightarrow J'(0, 0)[/tex]
[tex]K(0,4)\rightarrow K'(0, 4)[/tex]
[tex]L(9,12)\rightarrow L'(6,8)[/tex]
[tex]M(12,0)\rightarrow M'(8,0)[/tex]
Therefore, Option B will be the correct option.
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A costume designer is using exactly 264 yards of green fabric to make 36 frog costumes. If each costume requres the same amount of fabric, how many yards will be used for each one?
Answers
Answer:
Each costume will take 7 1/3 yards of green fabric
Step-by-step explanation:
They would each take this much because 264/36 is 7 1/3 which shows the total amount of fabric divided into each of the 36 costumes evenly.
can someone help me, file attached
Answers
Answer:
C. log 10m is the correct answer.
Step-by-step explanation:
The laws of logarithm states that if you have:
[tex] log(a) + log(b ) = log(a \times b) = log(ab) [/tex]
So, comparing that to your question,
[tex] log(m) + log(10) = log(10m) .[/tex]
In circle O, AC and BE are diameters. The measure of arc DC is 50°. What is the measure of EBC?
Answers
Answer:
The angle measure would be 40°
Step-by-step explanation:
Right angles have a measure of 90. Since DC is 50, 90-50 is 40.
The angle measure of ∠EBC would be 40°.
What is arc?The arc is a portion of the circumference of a circle
Right angles have a measure of 90°.
∵∠BOD=90°
Since ∠DC is 50°,
∠EBC = ∠BOD-∠DC
∠EBC = 90°-50° is 40°.
The angle measure of ∠EBC would be 40°.
learn more about arc of circle
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Please I need this now
Whoever can answer this I will make a brainliest
Answers
Answer:
djchdjcycuchrivivurtiytvivytivi8fr cgdyhcd8w
I REALLY NEED HELP!!! THIS IS DUE AT 12!!!
Jeremiah scored 32 points in yesterday’s basketball game. He made a total of 19 baskets.Some of the baskets were field goals (worth two points) and the rest were free throws (worth one point). Write and solve a system of equations to find the number of field goals and the number of free throws that Jeremiah made. Let x represent Field Goals and y represent Free Throws.
Answers
Answer:
x=16
y=3
Step-by-step explanation:
32÷2=16
19-16=3
x=16
y=3
Let
cos
(
2
∘
)
≈
0.9994
What is the the value of
x
, in degrees, for
sin
(
x
)
≈
0.9994
?
Answers
Answer:
can write it again soon as you can do it again
A number cube is rolled. What is the probability that a number greater than 4 will be rolled?
5/6
1/3
2/3
1/6
Answers
Answer:
1/3
Step-by-step explanation:
Anything under 4 has a 4/6 chance, so whats left is 2/6, which is equal to 1/3.
Answer:
1/3
Step-by-step explanation:
im assuming its a 6 sided dice
so each side is numbered 1-6
u want the probabilty if it being greater than 4
4 of the 6 numbers aren't greater than 4 so 4/6of the time it will be less than 4
which and be simplified to 2/3
so 1/1-2/3=1/3
so there is a 1/3 propbability that it will be greater than 4
survey of a company's employees explored the relationship between employee status and support of a new workplace safety policy The results are displayed in the following two-way frequency table. Workplace Safety Policy For Against Total Part-Time
Employee 20 60 80 Full-Time Employee 100 20 120 Total 120 BO 200 used on the table above, which of the following statements are true? There are twice as many part-time employees against the workplace safety policy than full-time employees against the workplace safety policy IL There are more employees for the workplace safety policy than against the workplace safety policy There is an equal number of part-time employees and full-time employees.
Answers
Answer:
ll and lll
Step-by-step explanation:
help me please!!!!!!!!!!!!!!!!
Answers
mr. russell questions:
1: false.
2: false.
3: true
4: false.
5: true.
the last question: D.
Q) Mr. John went to a restaurant. The cost of a meal was $40.00. If the
sales tax is 9%, what is the total amount he paid for the meal?
Answers
Can someone help me with this answer thank you
Answers
Answer: bro cmon this is simple m8 but i will still help :D
Step-by-step explanation:35x3=105 and 28x5=140 the outfit couldve been 245 dollars in total!
A wire is attached to the top of a tower and to a point on the ground that is 35 m from the base of the tower. If the wire makes a 65 degree angle with the ground, how long is the wire? Round your answer to the nearest tenth.
Answers
Answer:
83
Step-by-step explanation:
The length of the wire is 83meter.
Given that,
A wire is attached to the top of a tower and to a point on the ground that is 35 m from the base of the tower.
If the wire makes a 65-degree angle with the ground.
We have to determine,
How long is the wire?
According to the question,
The computation of the length of the wire is shown below:
Let, the length of the wire be x,
There is 35m from the base of the tower,
And, the angle with the ground is 65 degree
Therefore,
The length of the wire is given by,
[tex]cos65 = \dfrac{35}{x}\\\\[/tex]
Substitute the value of cos65 in the equation,
[tex]cos65 = \dfrac{35}{x}\\\\x = \dfrac{35}{cos65}\\\\x = \dfrac{35}{0.42}\\\\x = 83.33 \ meter[/tex]
Hence, The length of the wire is 83meter.
To know more about Trigonometry click the link given below.
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Helpppp?? I need help on this cause I just don’t wanna solve it
Answers
Answer:
3 and 3/5
Step-by-step explanation:
what is the HCF prime factorization of 30 and 36
Answers
Answer:
We found the factors and prime factorization of 30 and 36. The biggest common factor number is the GCF number. So the greatest common factor 30 and 36 is 6.
Step-by-step explanation:
Determine which fraction is smallest given 21/64, 5/16, 11/32, 1,2
Answers
5/16
Explanation :
5 divided by 16 is less than the other one equations
please helppppppppppppppppp??????/
Answers
Answer:
Its C trust me cuh
Step-by-step explanation:
Please give me Brainlist bro I just need 2 more
I hope u have a good day
5+5-66564+6367347646-4848
Answers
Answer:
6367276244 6367276244
6367276244 6367276244
Answer:
6367276244
Step-by-step explanation:
*find the area thats all *
Answers
Answer:
The area is 155 square feet
Step-by-step explanation:
[tex]\frac{(13+18)} {2}[/tex] × 10
[tex]\frac{31}{2}[/tex] × 10
15.5×10=155
Hope this helps! :)
HELP I NEED HELP ASAP
Answers
Answer:
A. The number of people infected increases expontially by approximately 80/ per month
Step-by-step explanation:
I'll just remind
The speed limit on a road is 45 mph what is the rate in miles per minute
Answers
The rate in miles per minute is 320
I dont understand the work my teacher gave me and I Have 45 pages to do
Answers
Answer:
just send them here , I will answer the ones I know .
Can someone please help me with this? Right answer gets brainliest!!
Answers
Answer:
Part 1: y= 49
Part 2: y=12
Step-by-step explanation:
Part 1: The y is going up by 7, so if you add 7 to 42, you get 49
Part 2: The y is going up by 4, so if you add 4 to 8, you get 12
!!!!!!PLEASE HELP WILL GIVE BRAINLIEST!!!!!!!
which of the following is a irratinol number
A. 1 squared
B. 41 squared
C.- 9 squared
D.-64 squared
Answers
PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!!
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DIVIDING EXPONETS
Answers
I can’t seem to do the symbols here so the answer is in the picture.
Answer:
[tex]-0.5n^{4}[/tex] or [tex]-\frac{1}{2} n^{4}[/tex]
Step-by-step explanation:
To simplify a dividing exponent, use the "Quotient of Powers" law: [tex]\frac{a^{m} }{a^{n} } = a^{m-n}[/tex]. In this situation, the equation would be: [tex]\frac{-9}{18} n^{6} -n^{2}[/tex] or [tex]-0.5n^{4}[/tex] (-0.5 is also [tex]-\frac{1}{2}[/tex]).
Hope it helps and is correct!