The following graph shows a proportional relationship
What is the constant of proportionality between y and z in the graph?
y
6
5-
4
3+
2+
1+
6
Constant of proportionality=
Answers
Answer:
The constant of proportionality between 'y' and 'x' in the graph is 0.75
Step-by-step explanation:
The constant of proportionality is the constant ratio between two quantities that are directly proportional.
When two quantities are directly proportional, then a percentage increase in one of the quantities will result in an equal percentage increase in the other quantity, and the two quantities are therefore, increasing at the same rate to each other
From the graph we have;
When x = 0, y = 0, all graphs of directly proportional relationships have x = 0 when y = 0
However;
When x = 2, y = 1.5
When there is an 100% increase, we have;
When x = 2 + 100/100 ×2 = 4, y = 1.5 + + 100/100 ×1.5 =3
Therefore, when x = 4, y = 3
The constant of proportionality = The ratio between each 'y' and 'x' value
∴ The constant of proportionality = y/x = 1.5/2 = 3/4 = 0.75
Therefore;
The constant of proportionality between 'y' and 'x' in the graph = 0.75.
Related Questions
Which equation represents the line that is perpendicular to y=1/6 & passes through (-8,-2)?
a) y = -6
b) y = -8
c) x = -8
d) x = -2
Answers
Answer:
x = -8
Step-by-step explanation:
slope of y = 1/6 is zero
the negative reciprocal of zero is considered to be 'undefined', which is the slope of x=-8 (or x = 'any number')
A rectangular prism measures 8 inches in width,12 inches in length and 4 inches in height.What is the surface area of the prism? Enter your answer In the box.
Answers
Answer:
352
Step-by-step explanation:
A = 2(wl+hl+hw) = 2(8 · 12 + 4 · 12 + 4 · 8) = 352
Mr. pope lost 10 pounds in one month. At the end of the month, he weighed 240 pounds. By what percentage did Mr. Pope decrease he weight?
a. (4%)
b. (7%)
c.(10)
d.(15%)
Answers
Mr. Pope decreased his weight by 4 percent.
What is percentage?A percentage is a portion of a whole thing written as a number between 0 and 100 instead of fraction.
Given that, Mr. pope lost 10 pounds in one month. At the end of the month, he weighed 240 pounds.
we need to find the percentage of decrease of his weight,
So, basically we will use here the concept of percentage change,
Formula = final amount - initial amount / initial amount x 100
Since, he lost 10 pounds and has 240 pounds so, initially he weighted = 240 + 10 = 250 pounds
So, percentage decreased = -10 / 250 x 100 = -4% [minus is the sign for decrease]
Hence, Mr. Pope decreased his weight by 4 percent.
Learn more about percentage, click;
https://brainly.com/question/29306119
#SPJ3
PLEASE HELP ME!!!!!!
Answers
(PLEASE SOMEONE HELP)
James is making orange juice from concentrated frozen orange juice that he must mix with water. The concentrated juice is in 12 fluid ounce cartons. The ratio of orange juice concentrate to water is 12 fluid ounces to 36 fluid ounces. If James needs 4.5 gallons of orange juice, which is 576 fluid ounces, how many cartons of concentrated orange juice does he need?
Answers
Answer:
The number of cartons of concentrated orange juice she needs in 4.5 gallons of orange juice is 12 cartons of orange juice
Step-by-step explanation:
The given parameters are;
The volume of the concentrated orange juice = 12 fluid ounce cartons
The ratio of orange juice concentrate to water = 12 fluid ounces to 36 fluid ounces
The amount of orange juice James need = 4.5 gallons = 576 fluid ounces
Therefore;
The ratio of orange juice concentrate to water is 12:36
Therefore;
Let 'x' represent the amount of concentrated orange juice in 4.5 gallons of orange juice, and let 'y' represent the amount of water in the 4.5 gallons of orange juice, we have;
x + y = 4.5 (gallons)...(1)
x:y = 12:36 = 1:3
∴ x/y = 1/3
3·x = y...(2)
From equation (1) and equation (2), we have;
x + y = 4.5
x + 3·x = 4.5
x = 4.5/4 = 1.125
x = 1.125
The amount of concentrated orange juice in 4.5 gallons of orange juice, x = 1.125 gallons
∴ y = 3 × x = 3 × 1.125 = 3.375
y = 3.375
The amount of water in the 4.5 gallons of orange juice, y = 3.375
Therefore, we have;
4.5 gallons = 576 fluid ounces
∴ 1.125 gallons = (576/4.5) × 1.125 = 144 fluid ounces
The amount of fluid ounces per carton = 12 fluidounces/carton
∴ The number of cartons in 144 fluid ounces = 144 fluidounces ÷ 12 fluidounces/carton = 12 cartons
The amount of concentrated orange juice she needs in 4.5 gallons of orange juice, x = 1.125 gallons = 144 fluidounces = 12 cartons
The amount of concentrated orange juice she needs in 4.5 gallons of orange juice, x = 12 cartons of orange juice
The amount (number of cartons) of concentrated orange juice she needs in 4.5 gallons of orange juice, x = 12 cartons of orange juice.
If apples are 6 for $2.70, how much is one apple?
Answers
Answer:
0.45
Step-by-step explanation:
2.70 / 6 = 0.45
Answer:
1 apple is 2.2
Step-by-step explanation:
Which graph repreWhich value can fill in the blank in the function f(x) = ____|x| to make its graph wider than that of the parent function, f(x) = |x|?
–1
1
4sents the function f(x) = |x| – 4?
Answers
Answer:
the answer is -1
Step-by-step explanation:
I took the quiz
Can you explain how the answer to this question is 8 plz!! Thank chu What percent of 2.5 is 0.2. Please helllllp. My whole family is trying to figure out this darn problem! I promise to give the best answer brainliest!
Answers
Answer:
3.9
Step-by-step explanation:
i need more detale """))
Answer:
0.2 is 8% of 2.5
Step-by-step explanation:
question: what percent of 2.5 is 0.2
paraphrased: 0.2 is what fraction of 2.5 (then convert to percent)
make into fraction
0.2/2.5
=2/25
therefore 0.2 is 2/25ths of 2.5 !
to convert to percentage, make the denominator /100
2/25
multiply by 4 both sides
= 8/100
8 out of 100 is 8%
=8%
hope this helps !
What is the area of a rectangular pool with dimensions of 12 feet by 9.5 feet? Show all of your steps and work.
Answers
Answer:
If referring to surface area, it would be equal to 114 ft²
Step-by-step explanation:
Area = BH or LW
Multiply the two dimensions given
12 * 9.5 = 114
114 square feet
A line that passes through the point (-3,-6) has a slope of 4/3. What is another point on this line
Answers
Answer:
3,3
Step-by-step explanation:
15% off an annual subscription of 86$.How much will the customer save.
Answers
Answer:
$12.90/ 12.9
Step-by-step explanation:
divide 15 % by 86
For } (x) = 4x+1 and g(x) = x2 -5, find (f/g)(x)
Answers
Answer:
Step-by-step explanation:
4x + 1
The quotient (f/g)(x) is (f/g)(x) = ---------------
x^2 - 5
Note that x^2 means "square of x," whereas "x2" is ambiguous.
James if four times as old as Lucy.If x represent Lucy's age, how would you represent James age
Answers
Answer:
X4
Step-by-step explanation:
JamesAgex
What fraction of the dunk tanks require at least 500 gallons of water? Write the fraction in simplest form.
Answers
Answer:
1/2
Step-by-step explanation:
Based on the information observed from the attached box and whisker plot, the Fraction of dunk tanks which requires atleast 500 gallons of water. This fractional value will be the property of plot in the position marked as 500 on the plot. The point which refers to 500 gallons on the plot is the ticked point in between the box. This point represents the median value in a box and whisker plot.
The median value represents the 50th percentile value which relates to half of the distribution. This means that fraction of dunk which requires atleast 500 gallons is : (50/100) = 1/2
Which of the following is equivalent to x 3/7
Answers
explanation: use this rule: (x^a)^b = x^ab
[tex]a^{\frac{m}{n}} =\sqrt[n]{a^m}[/tex]
so the answer will be b [tex]\sqrt[7]{x^3}[/tex]
hope this helps :)
helpppp plss, which ones are growth or decay
Answers
Answer:
Decay
Decay
Growth
Decay
Decay
Growth
Step-by-step explanation:
If 25 cents are the same as 1/4; how many 1/4 are in $10?
Answers
Answer:
40
Step-by-step explanation:
Answer:
There would be 40 sets of 1/4 in $10.
Step-by-step explanation:
This is because when you divide 10 by 0.25 (1/4) it is equal to 40.
You can also think of 4 times 10 since 4 1/4s(.25 cents) are equal to a dollar.
Hope that makes sense :)
how many 20 dollar bills and 50 dollar bills
linked picture
Answers
Answer:
3 $50's and 12 $20's
Step-by-step explanation:
I believe this is the correct answer, good luck
Answer:
8.9 billion in 20dollar and 1.7 billion in 50 dollar
Write an expression equivalent to
72 using operations with
exponents.
(Will mark brainliest)
Answers
Answer:
Step-by-step explanation:
2x6²( = 2x36 ) = 72
To meet your goal for selling raffle tickets, you must meet the inequality t ≥ 15. If you sold 16 tickets, did you reach your goal?
Yes or No
Answers
Mia rode 3 miles in a taxi. What was the total cost ,in dollars,of her ride the ride costs 2.50 a mile
Answers
Answer:
Total cost = $7.5
Step-by-step explanation:
Given the following data;
Total distance = 3 miles
Cost per distance = $2.50
To find the total cost ofof ride, we would use the following mathematical expression;
Total cost = total distance * cost per distance
Total cost = 3 * 2.5
Total cost = $7.5
Therefore, the total cost, in dollars, of Mia's ride is 7.5.
How do you do the Pythagorean Theorem? Also how do you do it with one leg and hypotenuse? Also how do you do it with 2 legs and no hypotenuse?
Answers
Answer:
Pythagorean Theorem = a^2 + b^2= c^2
Step-by-step explanation:
(3)^2+ (4)^2 = C
3^2= 9
4^2= 16
9+16=25
(2 legs no hypotenuse)
9^2+ b^2=7^2
9^2 = 81
7^2= 49
81-49= 32
(you have to sqaure root it because the oppsite of sqaured is sqaured root)
32 squared = 5.657
and rounded is 5.7
PLEASE HELP!! Aprivate College runs a 3-semester school-year schedule. The college charges $9 308 per semester for tuition and room and board How much would it cost to
attend this college for 4 years?
A $111 696
B537232
CS121 848
DS27 924
Answers
8x-10=x^2+5 solve using quadratic
Answers
x = 5 , 3
two solutions
Answer:
x=5,3
Step-by-step explanation:
for brainiest:):):):):):):):)
Answers
Answer:
3. 6 ft
4. 60 ft
5. 0.2 m
6.24 in
Step-by-step explanation:
HELPP ME PLEASE!!!!
don’t answer just for points or i’ll report you.
Answers
Answer:
8.3
Step-by-step explanation:
8.3 - 8.3 = 0
Answer:
8.3+(-8.3) would equal 0 so the answer should be 8.3
A triangle has two sides of length 14 cm and 21 cm. Which of the following could represent the length of the third side of the triangle? Select all that apply. 5 cm 15 cm 25 cm O 35 cm 45 cm
Answers
Answer:
im doing the quiz rn, and im pretty sure its only 5cm
Step-by-step explanation:
because 5 cm is the only one that is smaller than the combination 14 + 5<21
and thats technichly what you looking for cuz 14+ 15>21
Please help.
Is algebra.
PLEASE HELP NO LINKS OR FILES.
I don't want links.
Answers
Answer:
1. b & d
2. d
Step-by-step explanation:
no fractions, decimals can be in a standard form equation
PLEASE TELL ME ILL GIVE YOU BRAINLIEST:))
Answers
Answer:
0.5
Step-by-step explanation:
How to Find the Mean. The mean is the average of the numbers. It is easy to calculate: add up all the numbers, then divide by how many numbers there are. In other words it is the sum divided by the count.
When we add them, it's 2.5.
Now we divide.
Answer:
0.5
Step-by-step explanation:
2+(-2.5)+(-1)+0+4 =2.5
2.5/5 = 0.5
How many ounces are in 38 pounds?
Answers
Answer: There are 608 ounces in 38 pounds.
Answer: 608
Step-by-step explanation:
ther are 16 ounces in 1 pound so 16 x 38=608
i checked with my teacher she said its right.