This graph shows a proportional relationship.
What is the constant of proportionality?
Answers
Answer:
[tex]m = \frac{3}{4}[/tex]
Step-by-step explanation:
Given
See attachment
Required
The constant of proportionality
Select two points on the graph
[tex](x_1,y_1) = (0,0)[/tex]
[tex](x_2,y_2) = (4,3)[/tex]
So, the constant of proportionality (k) is:
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
[tex]m = \frac{3-0}{4-0}[/tex]
[tex]m = \frac{3}{4}[/tex]
Related Questions
Which equation represents the line that passes through (-8,11) and
and (4, 7/2)?
A) y = -5/8x + 6
B) y = -5/8x + 16
C) y = 15/2x - 49
D) y = -15/2x + 71
Answers
Answer:
A) y = -5/8x + 6
Step-by-step explanation:
y2 - y`1 / x2 - x1
7/2 - 11 / 4 - (-8)
-15/2 / 12
= -5/8
y = -5/8x + b
11 = -5/8(-8) + b
11 = 5 + b
6 = b
Answer:
Option (A)
y = - 5 / 8 x + 6
Step-by-step explanation:
Two points are
(x', y') = ( - 8, 11 )
(x'', y'') = (4, 7/2)
The equation o line passing through two points is given by
[tex](y - y') = \frac{y'' - y'}{x''-x'}(x-x')\\\\(y - 11)= \frac{\frac{7}{2}-11}{4+8} (x + 8)\\\\y - 11 = \frac{-5}{8}(x + 8)\\\\y -11 = \frac{-5x}{8} - 5\\\\y = \frac{-5x}{8} + 6[/tex]
So, option (A) is correct.
14,523 to 16,489.
What is the percent increase in the town's population? Finish the division and round to the nearest percent.
Answers
Answer:
≈ 14%
Step-by-step explanation:
percent increase is calculated as
[tex]\frac{increase}{original}[/tex] × 100%
Increase = 16489 - 14523 = 1966 , then
percent increase = [tex]\frac{1966}{14523}[/tex] × 100% = [tex]\frac{1966(100)}{14523}[/tex] ≈ 14% ( to nearest percent )
Answer:
14% :)
Step-by-step explanation:
if a third plane could be drawn which contains both lines a and b .
Answers
Answer:
must be parallel
Step-by-step explanation:
They must be parallel.
Drag each shape to the correct category. Identify which shapes are similar to shape A and which are not.
Answers
please I need answer right now pleasssseee
only C
C. -3×(-2/3)²
Answers
Answer:
-4/3
Step-by-step explanation:
-3 x (-2/3)²
= -3 x (4/9)
= -4/3
(d) Statement one: Two adult tickets and three children tickets cost $43.00
Statement two: One adult ticket and one ticket for a child cost $18.50
(i) Let x represent the cost of an adult ticket and y the cost of a ticket for a child.
Write TWO equations in x and y to represent the information. (2mks)
(ii) Solve the equation to determine the cost of an adult ticket
Answers
Answer:
The cost of an adult ticket is $12.50
Step-by-step explanation:
The given information are;
The cost of two adult tickets and three children tickets = $43.00
The cost of one adult ticket and one child ticket = $18.50
Whereby the cost of an adult ticket is represented by x and the cost of a child's ticket is represented by y, we get the following two simultaneous equations;
2·x + 3·y = 43.00...(1)
x + y = 18.5...(2)
(ii) Multiplying equation (2) by 2 and subtracting the result from equation (1) gives;
2·x + 3·y - 2×(x + y) = 43 - 2×18.5 = 6
2·x - 2·x + 3·y - 2·y = 0 + y = 6
∴ y = 6
The cost of each the children ticket = $6.00
From equation (2), where y = 6, we get;
x + y = 18.5
∴ x + 6 = 18.5
x = 18.5 - 6 = 12.5
The cost of an adult ticket, x = $12.50.
PLEASE HELP! Given the inequality y<3x+3, which statement is correct about the graphical solution?
A. Shading should go below a solid line.
B. Shading should go above a dashed line.
C. Shading should go below a dashed line.
D. Shading should go above a solid line.
Answers
Answer:
C. Shading should go below a dashed line
Step-by-step explanation:
y <
Y is less than. So, shade below where all the numbers are less than
And because it's NOT [tex]\leq[/tex] or [tex]\geq[/tex] , its dotted. Meaning the solutions are not on the line.
PLISSSSSSSS HELPPPPP!!!!!!!!!!!!!!!!!!!!!
I will give brainliest............
Answers
2- 1.5
3- 8
4- 1
5- 5
6- 9
If EF = 117 , FG = 100, EG = 94, IJ = 40 , and HJ = 37.6 , find the perimeter of HIJ. Round your answer to the nearest tenth if necessary. Figures are not necessarily drawn to scale.
Answers
Answer:
124.4
Step-by-step explanation:
Perimeter of ∆HIJ = IJ + HJ + HI
IJ = 40
HJ = 37.6
HI = ?
Let's find HI
∆HIJ and ∆EFG are similar. Since they have equal corresponding angles. Therefore, the ratio of their corresponding sides would be equal.
Thus:
EF/HI = FG/IJ
EF = 117 (given)
HI = ?
FG = 100 (given)
IJ = 40 (given)
Plug in the values
117/HI = 100/40
117/HI = 2.5
117 = HI*2.5
117/2.5 = HI
HI = 46.8
✔️Perimeter of ∆HIJ = IJ + HJ + HI
= 40 + 37.6 + 46.8
= 124.4
The side length of the chessboard is 7 inches. Find the area of the chessboard.
Answers
Answer:
I'm assuming the chessboard is square so 49cm square.
Step-by-step explanation:
Area of a square= side × side
7×7=49
Have a nice day.
The area of the chessboard is 49 square inches, and which side length is 7 inches.
To find the area of the chessboard, we need to calculate the product of its length and width.
In this case, since the chessboard is a square, the length, and width are equal.
Given that the side length of the chessboard is 7 inches, we can calculate the area as follows:
Area of the chessboard = side length x side length
Area of the chessboard = 7 inches x 7 inches
Area of the chessboard = 49 square inches
Therefore, the area of the chessboard is 49 square inches.
Learn more about the area of the square here:
brainly.com/question/1561162
#SPJ2
Please answer fast!!!!!
Explain the steps you would use to solve the equation. Find the solution.
8^2x=4096
Answers
Answer:
x = 2
Step-by-step explanation:
note that 4096 = [tex]8^{4}[/tex] , then
[tex]8^{2x}[/tex] = [tex]8^{4}[/tex]
Since bases on both sides are equal, both 8 , then equate the exponents
2x = 4 ( divide both sides by 2 )
x = 2
Answer:
x = 2
Step-by-step explanation:
[tex]8^{2x} = 4096[/tex]
Step 1 :- Write 4096 in the exponential form with the base of 8.
[tex]8^{2x} = 8^4 [/tex]
Step 2 :- Since the base of both equation is same , set the exponents equal.
2x = 4
Step 3 :- Divide both side by 2
[tex]{2x}{2} = \frac{4 }{2}[/tex]
x = 2
Someone help me please if you don’t mind
Answers
Answer:
Multiply to -63
and add to -2
Step-by-step explanation:
I'm a genius.
Answer:
(x - 9)(x + 7)
Step-by-step explanation:
Given
x² - 2x - 63
Consider the factors of the constant term (- 63) which sum to give the coefficient of the x- term, that is
numbers that multiply to give - 63 and add to give - 2
The factors are - 9 and + 7 , since
- 9 × 7 = - 63 and - 9 + 7 = - 2 , then
x² - 2x - 63 = (x - 9)(x + 7) ← in factored form
For the inverse variation equation P= 8/v , what is the value of V when p = 4?
1/8
1/2
2
32
Answers
Answer:
V = 2
Step-by-step explanation:
P = 8/v
4 = 8/v
8/4 = 2
v = 2
Answer:
v=2
Step-by-step explanation:
p=8/v
When p = 4, 4=8/v
We multiply both sides by v, we get:
4v=8
Now we divide both sides by 4,
v=2
A researcher is curious about the average IQ of registered voters in the state of Florida. The entire group of registered voters in Florida is an example of a ______.
Answers
Answer:
Population
Step-by-step explanation:
A population can be defined as the total number of living organisms living together in a particular place and sharing certain characteristics in common.
A sample survey is a statistical method used for the collection of data from a target population in order to draw an inference and reach a logical conclusion.
In Statistics, sampling can be defined as a process used to collect or select data (objects, observations, or individuals) from a larger statistical population using specific procedures.
In this scenario, the entire group of registered voters in Florida is an example of a population.
A class of x students has planned a picnic.Each student paid Rs 60. If out of total collection, Rs 1500 is paid in advance for transport, how much money is left with them to spend on other items
Answers
Answer:
Balance = 60x-1500
Step-by-step explanation:
Given data
total number of students= x student
amount paid by each student= Rs 60
Total amount= Rs 60*x
Advance paid for transport= Rs 1500
Hence the balance is = 60x-1500
Two spheres have are such that the radius of the bigger sphere is 3 times bigger than the smaller. What is the ratio of the area?
Answers
Answer:
1 : 27
Step-by-step explanation:
Radius of sphere one = r₁ = x units
Radius of sphere 2 = r₂ = 3*x = 3x units
Ratio of area of two sphere's = r₁³ : r₂³
= x³ : (3x)³
[tex]= \frac{x^{3}}{3^{3}*x^{3}}\\\\= \frac{1}{3^{3}}\\\\= \frac{1}{27}[/tex]
= 1 : 27
please I need answer right now pleasssseee
Find the lowest common multiple of
A. 12,18,36
B. 9,27,18
please plz plz
Answers
Answer:
1.)36
2.)54
Step-by-step explanation:
sana po makatulong gehehe
Find z
Help me please
Answers
Answer: z=56
Step-by-step explanation:
Based on the figure, we can determine that 3y+8=68 and 4x=2z. With the knowledge that a trapezoid has 360°, we can first find the value of y to get the angle measures of the top angles. We can then subtract that from 360°.
3y+8=68 [subtract both sides by 8]
3y=60 [divide both sides by 3]
y=20
We now know the value of y is 20, but that is not relevant to solving this problem because we already know that the top angles are 68° each. So, we can subtract that from 360.
360-68-68=224
Now, we know that the bottom 2 angles have to add up to 224. Therefore, we can come up with 2 equations.
Equation 1: 4x=2z
Equation 2: 4x+2z=224
We can manipulate Equation 1 to be [tex]x=\frac{1}{2}z[/tex]. Once we plug that into Equation 2, we can find the value of z.
[tex]4(\frac{1}{2} z)+2z=224[/tex] [multiply]
[tex]2z+2z=224[/tex] [add]
[tex]4z=224[/tex] [divide both sides by 4]
[tex]z=56[/tex]
Now, we know that z=56.
2√4^3
find the rationalizing factor
Answers
Hello!
2√4³ =
2 × √4 ³ =
2 × 2³ =
2 × 8 = 16
Good luck! :)
Can sb help me it’s due soon
Answers
Answer:
I think 84 but you may need to check just to be sure :)
what is the explicit formula for this sequence
Answers
Answer:
A
Step-by-step explanation:
Start with the 3.
You know that there is a difference of 4 between (say) 2 and 5. The 3 is a sign that the sequence is increasing. The members of the sequence are going up.
n - 1 means that the nth terms is calculated as an and uses the number of terms to be n-1. That means that the first term is a1 which is the starting point of the sequence.
The answer is an = a1 + (n-1)*d
d = 3
a1 = - 7
So let's try the formula out.
a4 = -7 + (4 - 1)*3
a4 = -7 + 3 * 3
a4 = -7 + 9
a4 = 2
Is 2 the 4th term in the series? Yes it is!
Research suggests improvements in human capital explains what percentage of the growth in U.S. Productivity from 1950 to the early 2000s?
Answers
Answer: 20%
Step-by-step explanation:
Human capital refers to the expertise that people gain as a result of working. This includes skills they gain from training and actually working. For instance, the skills a Brainly website designer gets from working on Brainly.
Research suggests that this human capital has led to about a 20% growth in U.S. productivity from the year 1950 to the year 2007 which means that it is a very significant factor in the growth of the country.
help me pls i don't get thisggg
Answers
Answer:
9. A. 2
Rectangle R:
Length = LWidth = WRectangle S:
Length = 2LWidth = 2WRectangle Area:
Rectangle R = L · W
Rectangle S = 2L · 2W = 2(L · W)
10. A. (1, 3)
y = x + 2y = -2x + 5x + 2 = -2x + 5
x + 2x = 5 - 2
3x = 3
x = 1
y = x + 2 = 1 + 2 = 3
15< 4 + x
O A. x>11
O B. X> 19
O C. x< 19
O D. x< 11
Answers
Answer:
A. x>11
Step-by-step explanation:
15 < 4 + x
take 4 to the LHS this becomes 15 - 4 < x
•°• 11 < x
< means less than
Therefore x is greater than 11
x > 11
I didn't get how you wrote 1.75 like how did it come there?
Answers
Answer:
Uhh what??
Step-by-step explanation:
Do you mean like 1.75 in a decimal form??
if x/y=(3/5)^3÷(6/5)^0'find the value of (x/y)^2
Answers
Answer:
729/15625
Step-by-step explanation:
1. Evaluate the power
( (27/125) ÷ 1 )^2
2. divide
( 27/125 )^2
evaluate the power
( 27^2 / 125^2 )
729/15625
Stephanie found a sweater on sale for $12.88. The original price of the sweater was $44.95. About how much did she save on the sweater?
rounding
Answers
Answer:
$32.07
ROUNDING ANSWER : $32
Step-by-step explanation:
you would subtract $44.95 -$12.88 which would give you $32.07
since you are rounding your answer would be $32
Hope this helps
Answer:
Stephanie saved about $32 on her new sweater.
$44.95 - $12.88 = $32.07
$32.07 rounds down to $32
Step-by-step explanation:
Have the same assignment. Hope this helps!
Two data sets are represented by the graphs below.
A.)Smaller range
B.) Lager median
C.)Larger mean
D.)Smaller standard deviation
Answers
Help me please guys
Answers
Answer:
1st box is -4
2nd box is -4
3rd box is 3
4th box is -1
Answer: 15x squared -4x-3
rewrite the expression
15x squared + 5x-9x-3
factor the expressions
5x × (3x+1)-3(3x+1)
factor the expression
solution
(3x + 1) × (5x - 3)
There is a bag with only red marbles and blue marbles.
The probability of randomly choosing a blue marble is
3/8
There are 56 marbles in total in the bag and each is equally likely to be chosen.
Work out how many red marbles there must be.
Answers
Answer:
red marbles
Step-by-step explanation:
Since the formula is;
Probability = number of required outcome
_______________________
number of possible outcome
3/8. = x/56
8x. = 168
x. 21 ( number of blue marbles)
Therefore if the total marbles = 56 and 21 of the marbles are blue then to get the red marbles
= 56 - 21
= 35