The constant of proportionality is comes out to be 3.
What is constant of proportionality?When two variables are proportional to one another, their relationship can be expressed as y = kx or y = k/x, where k defines how the 2 factors are related to one another. The above k is recognized as the proportionality constant.
The proportionality constant is the constant value of the ratio of two proportional quantities. When the ratio or product of two varying quantities yields a constant, they are said to be in a proportional relationship. The proportionality constant's value is determined by the type of proportion between both the two given quantities: direct variation or inverse variation.Now according to the question.
The proportionality constant denotes the ratio of the words x and y.
It is found by dividing Δy by Δx.
Δy/Δx = (y₂ - y₁)/(x₂ - x₁)
Consider two values from the table;
y₂ = 39 ; x₂ = 13
y₁ = 30 ; x₁ = 10
Substituting the values in the formula;
Δy/Δx = (39 - 30)/(13 - 10)
Δy/Δx = 9/3
Δy/Δx = 3
Therefore, the value of constant of proportionality is 3.
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The complete question is -
Washington high school's head tennis coach, Ms. racket, runs a tennis camp for middle school students every summer. the students bring their own lunches, but Ms. racket provides them with snacks. there is a proportional relationship between the number of students who enroll in Ms. racket's tennis camp, x, and the total number of snacks she buys, y. what is the constant of proportionality? write your answer as a whole number or decimal. snacks per student.
X Y
10 30
13 39
14 42
21 63
how to find slope of line in points given
3,4 and 4,6
Answer:
2
Step-by-step explanation:
The difference between the x points is 1.
The difference between the y points is 2
The slope is rise over run so the slope of this line is 2/1 which is the same as 2.
convert the following decimal to a percentege!!!!!! brainlest too
0.0861=
0.6129=
0.1486=
0.20=
Answer:
8.61%
61.29%
14.86%
20%
Step-by-step explanation:
Given:
p: 20-5=5
q:40-6=14
P 9
Write the contrapositive in if-then form.
If 2 -5=5, then 4x -6=14.
If 4x--6=14, then 2x-5=5.
If 2x -- 5≠5, then 4x--6≠14.
If 4x - 6≠14, then 2x - 5≠5.
Answer:
We conclude that:
If 4x - 6≠4, then 2x–5≠5 is the contrapositive of a conditional statement if 2x -5=5, then 4x-6=14.Step-by-step explanation:
We know that the contrapositive of a conditional statement of the form "If p then q" is termed as "If ~q then ~p".In other words, it is symbolically represented as:
' ~q ~p is the contrapositive of p q 'For example, the contrapositive of "If there is a snow outside, then they cancel the event" is "If they do not cancel the event, then it would not be snow outside."
Given
p: 2x -5=5q: 4x-6=14As the contrapositive of a conditional statement of the form "If p then q" is termed as "If ~q then ~p
Therefore, we conclude that:
If 4x - 6≠4, then 2x–5≠5 is the contrapositive of a conditional statement if 2x -5=5, then 4x-6=14.A side of the triangle below has been extended to form an exterior angle of 156°. Find
the value of x
Answer:
x=24
Step-by-step explanation:
again 180-156=24
super easy remember exterior +interior angles add up to 180
Brainliest please
First angle = 105
Second angle = x
Third angle = 156 - 105
= 51
_________________________________________
Three angles of the triangle:
[tex]105[/tex]
[tex]x[/tex]
[tex]51[/tex]
___________________________________________
Angle sum of triangle = 180°
[tex]105 + 51 + x = 180[/tex]
[tex]156 + x = 180[/tex]
[tex]x = 180 - 156[/tex]
[tex]x = 24[/tex]
A plane travels 3,625.26 miles in 6.9 hours. What is the plane’s unit rate?
Represent this situation with a fraction.
a. Represent this situation using the same units.
b. Estimate the quotient.
c. Express the divisor as a whole number.
d. Use the division algorithm to find the quotient.
e. Use multiplication to check your work
Answer:
The correct answers are:
a) 3625.26 miles OVER 6.9 miles
b) 36252.6 tenths miles÷ 69 tenths hours
c) 3500 miles over 7 hours = 500 miles over hours
d) 3625.26 miles 10 over 6.9 hours 10 = 36252.6 miles over 69 hours
e) 525.4 miles/h
Step-by-step explanation:
Brainliest please?
Let r = unit rate of the plane
r = (3,625.26 miles)/(6.9 hours)
You now have the correct fraction set up to answer a through e.
Take it from here.
help please i need this answer assapappa
Step-by-step explanation:
the answer is 120 correct
Helpppppp meeeee .......
Answer:
.......
B is the answer ......
Can someone help me pls
Answer: 39.4784
Step-by-step explanation:
The equation for area of a circle is (3.14)r^2.
Just plug in the given radius (4) into the equation and solve.
If using the method of completing the square to solve the quadratic equation
x2 + 11x + 30 = 0, which number would have to be added to "complete the
square"?
Answer:
The number to add is (11/2)^2 = 121/4
Step-by-step explanation:
Here, we want to know the number that will complete the square
We rewrite the equation as follows;
x^2 + 11x = -30
x^2 + 11x + (11/2)^2 = -30 + (11/2)^2
x^2 + 11x + 121/4 = -30 + 121/4
If you get this correct I will give... brainlest 5 stars and a thanked do it as soon as possible to get the rewards quicker!
Answer:
Growth It's increased by 31%
Step-by-step explanation:
Hope this helps :D
brianna’s cars traveled 106 miles on 3/6 of a tank of gas how far will she be able to go on a full tank of gas ?
Answer:
212
Step-by-step explanation:
106•2
Answer:
212miles
Step-by-step explanation:
3/6 =1/2 of a tank of gas
1/2+1/2=1 tank of gas
106+106=212miles
Help please, I will give brain list
A recipe requires 4 half sticks of butter for every 5 eggs.
Which ratio of half sticks of butter to eggs will make the same recipe?
15:12
32:35
12:20
20:25
Answer:
20 : 25
Step-by-step explanation:
20 : 25 maintains the ratio of 4 : 5.
If both 4 and 5 are multiplied by a factor of 5,
you get the numbers 20 and 25 respectively.
It was 11:20 P.M. when Harry looked at his watch. 50 minutes later, he looked at his watch again. What time did his watch read?
Answer:
12:10 a.m.
Step-by-step explanation:
roblem 1.12: calculate the average volume per molecule for an ideal gas at room temperature and atmospheric pressure. then take the cube root to get an estimate of the average distance between molecules. how does this distance compare to the size of a molecule like { n } { 2 }n 2 or { h } { 2 }oh 2 o?
An ideal gas follows the ideal gas law stating PV = nRT. Obtain the average volume/mole by solving for V/n. Divide both sides by Avogadro’s constant Na. Multiplying n and Na gives the number of molecules N. V/N is the average volume/molecule. 250C is the room temperature = 298.15K. The atmospheric pressure is 101325 Pa or 1 atm. Each molecule in a gas is spaced evenly and placed in a lattice. To obtain the space taken up by a cube, find the cube root of V/N to obtain the average intermolecular distance. For small molecules such as N2 or H2, the angstroms order is 10^(-10) m. The intermolecular distance is about 10 times the small molecules.
P V = nRT
V⁄n=RT⁄P
V⁄(nNa )=RT⁄(PNa )
V⁄N=((8.314 J/(mol.K))(298.15K))/((101325Pa)(6.02×10^23 molecules/mol))≈4.06×10^23 m^3/molecule
∛(V/N)≈3.44×10^(-9) m = 3.44 nm
The intermolecular distance is about 10 times the small molecules.
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You want to purchase a new bike that costs $142.68. To save for the bike, you mow your neighbor's yard for $40 each week. How much money will you have left over if you buy the bike after saving for 4 weeks?
The amount of money left after purchasing the bike is $17.32
How to calculate the amount of money left ?The cost of the new bike is $142.68
I need to save for the new bike and i decided to mow the neighbour's yard
The money paid is $40, this will be done for 4 weeks
At the end of the four weeks, the money i will get can be calculated as follows
= 40 × 4
= 160
To calculate the money left, let's subtract the cost of the bike from 160
= 160 - 142.68
= 17.32
Hence the amount of money left after buying the bike is $17.32
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Roger's gym class is running a relay race. Each team of 4 students runs a total of 1.6 kilometers. If every student runs the same distance, how many meters does Roger run?
(Remember you need to multiply and divide)
Answerapples
Step-by-step explanation:
Answer:
400 meters
Step-by-step explanation:
Flagpole to the ground using a piece of rope that is 10 feet long. He is going to tie the rope to the top of the flagpole and then secure the other end of the rope to the ground. The flagpole is 8 feet high. How far out on the ground does he need to secure the rope from the flagpole so that the rope is tight?
Answer:
6 feetStep-by-step explanation
Using the pythagoras theorem;
Given
The length of the flag pole = 8 feet = opposite side
Length of the rope = 10 feet = hypotenuse
To determine how far out on the ground he need to secure the rope from the flagpole so that the rope is tight, we need to look for the adjacent. Using the equation
hyp² = opp² + adj²
10² = 8² + adj²
adj² = 100-64
adj² = 36
adj = √36
adj = 6feet
Hence the rope should be placed 6feet out of the ground
I Just want to make sure this is correct..
Answer:
Yes that is the right answer
Answer:
no, because each output has an input of one
Step-by-step explanation:
hope this helps...
There are 5280 feet in a mile and 60 minutes in an hour (needless to say). How fast is a car going 30 miles per hour traveling in feet per minute?
(Please help me)
Answer:
2640 feet in a minute.
Step-by-step explanation:
Since the car is going 30 miles per hour, and there are 5280 feet in one mile, you would multiply 30 by 5280.
30 * 5280 = 158400
So 154800 feet = 30 miles.
Since you want to find out how fast a car going 30 miles per hour is traveling in feet per a minute, you would divide 154800 feet by 60, since there are 60 minutes in an hour.
154800 / 60 = 2640.
So 2640 feet in a minute.
If you want to check this, you can do 2640 * 60, which indeed equals 154800.
Hope this helps.
Match each problem to its solution. 8 8.2 9 56.25 Jonah earns $12.50 per hour as a marketing intern. If he works for 4.5 hours, how many dollars does he earn? arrowRight Jessica purchased items worth $41.23 at the local grocery store. The cashier made a mistake while ringing up her items, and Jessica ended up paying $50.23. How many extra dollars did she pay? arrowRight Josie has 20 meters of cloth. She needs to make long-sleeved blouses with that cloth. If one long-sleeved blouse requires 2.5 meters of cloth, how many blouses can she make with the material? arrowRight Jeremy bought 3.2 pounds of potatoes, 2.3 pounds of oranges, and 2.7 pounds of onions. How many pounds does his purchase weigh? arrowRight
Answer:
[tex]\$56.25[/tex]
[tex]\$9[/tex]
8
[tex]8.2\ \text{pounds}[/tex]
Step-by-step explanation:
Jonah earns $12.50 per hour
He works for 4.5 hours
Amount he earned
[tex]12.5\times 4.5=\$56.25[/tex]
Amount Jonah earned is [tex]\$56.25[/tex].
Items worth is $41.23
Amount paid is $50.23
Extra amount paid
[tex]50.23-41.23=\$9[/tex]
Jessica paid [tex]\$9[/tex] extra.
Length of cloth available is 20 m
Length of one long-sleeved blouse is 2.5 m
Number of blouses that can be made
[tex]\dfrac{20}{2.5}=8[/tex]
Number of blouses that can be made from the material is 8.
Potatoes weight is 3.2 pounds
Oranges weight is 2.3 pounds
Onions weight is 2.7 pounds
Total weight of the purchase
[tex]3.2+2.3+2.7=8.2\ \text{pounds}[/tex]
The weight of the purache is [tex]8.2\ \text{pounds}[/tex].
Answer:
Jonah - 56.25
Jessica - 9
Josie - 8
Jeremy - 8.2
Step-by-step explanation:
I got this answer correct on my test for edmentum
Answer one of them please thank you
The value of (M∪C)∩ V is { 3, 6 }
What are sets?Sets are defined as a collection of well-defined elements, numbers or objects.
It is important to note that;
Intersection of sets is denoted with the symbol '∩' and contains elements common to two or more setsUnion of sets is denoted with the symbol '∪' and contains all the elements of two or more sets without repetition14.
M = { 2. 3 , 4 , 5}
C = { 4, 6 , 8 , 10}
V = { 3, 5 , 7 , 9}
M∪ C = { 2, 3, 4 , 5 , 6 , 8 , 10}
(M∪C)∩ V = { 3, 6 }
Thus, the value of (M∪C)∩ V is { 3, 6 }
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PLEASE HELP (80 points!!)
What if the following are equivalent to x^2/5 (more than once answer)
Answer:
[tex]\sqrt[5]{x^2}[/tex] and [tex](\sqrt[5]{x} )^2[/tex]
Step-by-step explanation:
They are both correct.
Answer:
A, and B
Step-by-step explanation:
The reason why is because, 2 is still on x. Therefore, while 5 represents the division it stays up in the top left corner.
how many solutions does the following equation have?
4(2x+3)-7=8x+5
a- infinite
b- no solution
c- one solution
Six is less than or equal to the sum of a number and 3 1/4
Answer:
x ≥ 2 3/4
Step-by-step explanation:
6 ≤ x + 3 1/4
6 - 3 1/4 ≤ x
2 3/4 ≤ x
x ≥ 2 3/4
The solution to that equation or inequality will be; x ≥ 2 3/4
What is a solution set to an inequality or an equation?If the equation or inequality contains variable terms, then there might be some values of those variables for which that equation or inequality might be true. Such values are called solution to that equation or inequality. Set of such values is called solution set to the considered equation or inequality.
WE have been given that Six is less than or equal to the sum of a number and 3 1/4;
Therefore, the inequality will be;
6 ≤ x + 3 1/4
6 - 3 1/4 ≤ x
2 3/4 ≤ x
x ≥ 2 3/4
Hence, The solution to that equation or inequality will be; x ≥ 2 3/4
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PLEASE HELP !!!!!! WILL MARK THE BRAINLIEST
Answer:
c
hope its right :)
good luck!
A student was given two data sets, Set A and Set B. Which of the following statements is true?
D
Step-by-step explanation:
Answer:
d
Step-by-step explanation:
Write y=−4x−3 in standard form . ( I'LL MARK BRAINLIEST)
Answer:
4 x + y = − 3
Step-by-step explanation:
Instructions to care for a plant say to water it with 3/4 cup of water every day. The plant has been getting 25% too much water. How much water has the plant been getting? PLZZZZZZZ HELP ME!!
Answer: 0.9375 or 15/16 cup of water
Step-by-step explanation:
The plant has been getting 25% too much water which means that it has been getting 25% more than 3/4.
= 25% * 3/4
= 0.1875 cup of water
Water plant has been getting;
= 3/4 + 0.1875
= 0.9375 or 15/16 cup of water
Pleaseeeeeeee help me 7th grade math
Answer: -34
Step-by-step explanation:
first step: subtract 22 from both sides
+n=-12-22
n=-34
Answer:
-34
Step-by-step explanation:
Thats the correct answer . Im rlly good im Math :) I hope you get a good grade.