is this a proportional relationship?3 26 49 612 815 10
Answers
ANSWER
Yes, this relationship is proportional
EXPLANATION
A proportional relationship has the equation:
\(y=kx\)where k is called constant of proportionality.
To see if this relationship is proportional first we have to find k:
\(k=\frac{y}{x}\)This constant, as the name itself describes, must be constant. This means that for each pair from the table we have to find the same number if we divide the y-value by the x-value.
For the first pair:
\(k=\frac{3}{2}\)Second pair:
\(k=\frac{4}{6}=\frac{2}{3}\)Note that we can simplify the fractions to get an equivalent one.
Third pair:
\(k=\frac{6}{9}=\frac{2}{3}\)Fourth pair:
\(k=\frac{8}{12}=\frac{2}{3}\)Fifth pair:
\(k=\frac{10}{15}=\frac{2}{3}\)For each pair from the table we got the same constant. Therefore, this relationship is proportional.
Related Questions
Which of these is a factor in this expression
Answers
D
Step by step explanation:
A factor in an expression is something that is multiplied by something else. It can be a number, variable, term or any other longer expression. In this case, 9 can be multiplied by (y cubed + 3).
Hope this helps!
Decide whether the following statement is true or false. An infinite number of triangles can be created using the same three angle measures
Answers
Answer:
True
Step-by-step explanation:
I took the test!
Answer:
true is the answer
There are an infinite number of triangles which can be constructed with angles measuring this.
There are an infinite number of lengths the sides of the triangles can be while the angles stay the same measure.
An adult dinner cost 8 a family of 2 adults and children pay 24 for the their dinners
Answers
Answer:
The total cost will be 2 adult ($16), and 4 children ($8)
14. What is the equation of the line that passes through the
point (-3, -5) and has a slope of
-2/3
Answers
Answer:
y=-2/3x-0.5
Step-by-step explanation:
y=mx+b is the equation for slopes so I used it and all I needed to find was the y-intercept, which is -0.5
pls someone help, my he is due by tonight
Answers
Answer:
I hope it helps................
Which statement and reason best completes the proof?A. 2. is supplementary to 2. linear pair theoremB. 2. 2. definition of supplementary anglesC. 2. 2. definition of supplementary anglesD. 2. is supplementary to 2. linear pair theorem
Answers
In order to prove that the angles 1 and 3 are congruent through the congruent supplements theorem, we need to show that the angles 1 and 3 are supplementary to the same angle.
On the 3rd statement, the angle 3 and the angle 2 are identified as supplementary angles.
Then, the missing statement would be to identify the angles 1 and 2 as supplementary angles by the linear pair theorem.
Therefore, the correct choice is option A) 1 is supplementary to 2, linear pair theorem.
area of compound shapes
Answers
Answer:
the area of compound shapes is the amount of space inside a shape composed of basic shapes put together (cm²,m²,mm²)
2 Select the correct answer. A circle with radius 5 and center A. The coordinates of the center of the circle are (-3, 12). What is the general form of the equation of the given circle with center A? A. x2 + y2 + 6x − 24y − 25 = 0 B. x2 + y2 − 6x + 24y + 128 = 0 C. x2 + y2 + 6x – 24y + 128 = 0 D. x2 + y2 + 6x − 24y + 148 = 0 Reset Next
Answers
The correct equation is D. x2 + y2 + 6x − 24y + 148 = 0.
What is equation?Equation is a physical and mathematical statement that describing physical phenomena and the relationship between different physical quantity typically consist of variable simple presenting physical quantity and then it personal variable may be pointed such as your energy.
This equation is the general form of a circle with center A and radius 5. The equation can be derived from the coordinates of the center A and the radius of the circle. The center of the circle is located at (-3, 12). To get the equation, first calculate the distance between the center A and a point on the circumference of the circle, which is the radius of the circle, 5. Then, use the Pythagorean theorem to calculate the equation of the circle: x2 + y2 + 6x – 24y + 148 = 0.
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¿Por qué, aunque un trinomio tenga raíz exacta en el primer y tercer término, no siempre se puede aplicar el método de adición y sustracción para convertirlo en trinomio cuadrado perfecto?
Answers
The reason for not applying method of addition and subtraction on first and third term shown below.
The reason why the method of addition and subtraction cannot always be applied to convert a trinomial with exact roots in the first and third terms into a perfect square trinomial is because the second term may not be a perfect square or a multiple of the square root of the first term multiplied by the square root of the third term.
In order to convert a trinomial into a perfect square trinomial using the method of addition and subtraction, the coefficient of the second term must be twice the product of the square root of the first term and the square root of the third term. If this condition is not met, the trinomial cannot be transformed into a perfect square trinomial using this method.
Therefore, it is important to consider the coefficients and terms of the trinomial to determine if the method of addition and subtraction can be applied successfully.
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Identify the domain and range for the following. Also, determine if it represents a function.
{(−1, 4), (4, 3), (4, −4), (1, 3)}
A. Domain: {-1, 1, 4}
Range: {-4, 3, 4}
Not a Function
B. Domain: {-4, 3, 4}
Range: {-1, 1, 4}
Function
C. Domain: {-4, 3, 4}
Range: {-1, 1, 4}
Not a Function
D. Domain: {-1, 1, 4}
Range: {-4, 3, 4}
Function
Answers
Answer:
Option D
Step-by-step explanation:
The domain is all the x-values
The range is all the y-values
The following is a function because there is one unique output for every input.
Write the following fractions in decreasing order: 4/7, 11/15, 2/3.
Answers
Answer:
11/15 4/7 2/3
Step-by-step explanation:
In ΔUVW, u = 76 inches, w = 71 inches and ∠W=69°. Find all possible values of ∠U, to the nearest degree.
Answers
The value of the angle U from the calculation is 88 degrees.
How do you solve a triangle?The sine rule can be applied in a variety of situations, such as determining a triangle's unknown side lengths or angles. The sine rule can be used to locate the missing side or angle if you know the lengths of two sides and the measure of an angle (not necessarily the included angle).
By the use of the sine rule;
u/Sin U = w/Sin W
Thus;
76/Sin U = 71/Sin 69
Sin U = 76Sin 69/71
U = Sin-1 (76Sin 69/71)
U = 88 degrees
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The storage capability of computers has been doubling every 5 years since the first computers were invented in the 1960s. If the first computer could store .5 megabytes, about how many megabytes can today's computers store? How long did it take for computers to store 100 megabytes?
Answers
It takes time of near about 35 year.
Given that,
Storage capability of computers has been doubling every 5 years
The date of 1st computer made = 1980
computer could store 5 megabytes,
Now,
We can use the following calculation to determine how long it took computers to store 100 megabytes:
Therefore,
Log₂ (final amount / beginning amount)
= Log₂ (100 / 0.5)
= log₂ (200)
= 7.64 is the number of doublings.
If each doubling takes five years, then it would take computers just over seven doublings or almost 35 years to store 100 megabytes.
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HELP ASAP!! WILL MARK BRAINLIEST!
Question 8 Multiple Choice Worth 5 points)
(03.04 MC)
Solve for x:
(-4/3) x -6 = 26
Answers
Answer:
X = -24
Step-by-step explanation:
Using the inverse:
26 + 6 = 32
x = 32 / (-4/3) = -24
write an expression that is equivalent to 1/3x+3/4+2/3x-1/4-1/3-2/3x
Answers
Answer: 1/3x + 1/6
Step-by-step explanation:
The expression that is equivalent to 1/3x+3/4+2/3x-1/4-1/3-2/3x would be:
= 1/3x + 2/3x - 2/3x + 3/4 - 1/4 - 1/3
= 1/3x + 3/4 - 1/4 - 1/3
= 1/3x + 1/2 - 1/3
= 1/3x + 3/6 - 2/6
= 1/3x + 1/6
Answer:
1/3x + 2/4
Step-by-step explanation:
(1/3x + 2/3x = 3/3x/ 1 - 2/3 = 1/3) (3/4 - 1/4 = 2/4
what is 745 divided by 6 i need to know or me is not cool
Answers
Answer:
124.166666667
Answer:
Its approxiamatly 124.166666667 but if your rounding then its 124.
Step-by-step explanation:
745 / 6 = 124
will give Brainiest if you are right
Answers
Answer:
C. The school band is selling raffle tickets. They have already sold 15 tickets and have 60 remaining. With how many raffle tickets did they begin? represents the equation x - 15 = 60.
Step-by-step explanation:
Have a nice day!
Last month Kim trained 3 times as many dogs as cats.
If the total number of cats and dogs she trained is 32, how many cats did Kim train?
Complete the equation and solve.
32 =
xn
Kim trained
cats. Plsssss helppp meeeeeee
Answers
Answer:
8
Step-by-step explanation:
dog=3x
cat=x
3x+x=32
4x=32
4/4
32/4
x=8
3(8)=24
x=8
So she trained 24 dogs and 8 cats
10. Find the area of the figure to the
3 In
right.
3 in
2 in.
9 in
Answers
Answer:
10. Find the area of the figure.
27 in^2Step-by-step explanation:
You're welcome.
URGENT PLEASE
One number is 5 more than two times the other. Their sum is 11.
Answers
Answer:
the numbers are 8 and 3.
Find an expression for the area of the shaded. regions.
-process
Answers
a) The area of the shaded region of the rectangle is A = 84y² - 30y
b) The area of the shaded region of rectangle is A = 78t² + 40t
What is the Area of a Rectangle?The area of the rectangle is given by the product of the length of the rectangle and the width of the rectangle
Area of Rectangle = Length x Width
Given data ,
Let the rectangle be represented as ABCD
a)
Now , the length of the rectangle is L = ( 14y - 5 )
The width of the rectangle is W = 6y
And , Area of rectangle is A = L x W
Area of rectangle A = ( 14y - 5 ) ( 6y )
Area of rectangle A = 84y² - 30y
b)
Now , the length of the larger rectangle is L = ( 21t + 8 )
The width of the larger rectangle is W = 4t
And , the length of the smaller rectangle is L = ( 3t - 4 )
The width of the smaller rectangle is W = 2t
And , Area of rectangle is A = L x W
Area of rectangle A = ( 21t + 8 ) ( 4t ) - ( 3t - 4 ) ( 2t )
On simplifying , we get
Area of rectangle A = 84t² + 32t - ( 6t² - 8t )
Area of rectangle A = 78t² + 40t
Hence , the areas of the shaded region of the rectangle are solved
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Reagan has a part-time job walking dogs. She makes $12.20 per hour. If she earns $106.75 this week, how many hours does she work?
Answers
Step by step. $106.75 earned divided by $12.20 per hour = 8.75 hours worked.
Answer:
8.75
Step-by-step explanation:
106.75 divided by 12.20= 8.75
What is the answer....................................................
Answers
Answer:A school bus provides a safe way of transportation for your child. Learn resources to talk to your child about school bus and bus stop safety.
Step-by-step explanation:
A farmer wants to fence in a rectangular plot of land adjacent to the north wall of his barn. No fencing is needed along the barn, and the fencing along the west side of the plot is shared with a neighbor who will split the cost of that portion of the fence. If the fencing costs $14 per linear foot to install and the farmer is not willing to spend more than $7000, find the dimensions for the plot that would enclose the most area. (Enter the dimensions as a comma separated list.)
Answers
Answer:
Width = 166.7 ft
Length = 250 ft.
Step-by-step explanation:
From the diagram at the ATTACHMENT
Let us denote the the length of the rectangular area as "x" and
the width of the rectangular area as "y"
Since, cost of the fence on the western side is shared with a neighbor, we can say it is $7 per foot. Otherwise, it is $14 per foot. The northern length is not fenced.
From the question, we know that the cost is not to exceed $7000, therefore we can expressed it as
7y + 14x + 14y = 7000
14x + 21y = 7000
Divide through by 14, we have
(x + 1.5) = 500 ------------- eqn (*)
But the area of the fenced
= A = (x×y) -------------- eqn (**)
Substitute (*) into (**) we have
A = (500 - 1.5y)*y
= 500y - 1.5y²
In other to maximize the Area, we can find the differential of A
A'(y) = 500 - 3y
At A'(y) = 0.
500-3y= 0
3y=500
y= 166.67 ft
From eqn(*)
(x+ 1.5) = 500
x = 500 - 1.5y
500-1.5(166.67)
= 250ft
Therefore, the dimensions for the plot that would enclose the most area are
Width of 166.67 ft and Length = 250 ft.
Here is an unlabeled rectangle, followed by other quadrilaterals that are labeled.
Select all quadrilaterals that are scaled copies of the unlabeled rectangle.
A
B
C
D
E
F
G
H
Answers
Answer:
abch
Step-by-step explanation:
The quadrilateral of D, H, and E will be the scaled copies of the unlabeled rectangle.
What is the scale factor?You must specify the extent of the shape's enlargement when describing one.
The scale factor is the ratio of two dimensions such that one figure is large and another is small.
The scale factor is done due to the unpractical measurement of any figure.
If a figure is a scale copy of the scale factor of 4/2 it means 2 is converted into 4.
Now,
If any figure is a scaled copy then all dimensions must be enlarged with the same factor it means length and width both must be enlarged with the same factor.
For example,
An unlabeled rectangle has 4 grid lengths and 2 grid widths.
In H length is 8 grids and width is 4 which is the multiplication of 2 by 4 and 2.
Hence "The quadrilateral of D, H, and E will be the scaled copies of the unlabeled rectangle".
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write a polynomial equation of degree 4 that has the roots of -1 repeated three times and 4.
Answers
Answer:
f (x) = (x+1) 3These three is elevated with the parenthesis ( x- 4)
Step-by-step explanation:
PLEASE HELP ME ITS DUE TODAY!!!
Answers
4. RSTU is a trapezoid because the opposite sides RS and UT are parallel.
5. RSTU is not an isosceles trapezoid because the diagonals are not congruent.
How to verify that RSTU is a trapezoid?In order to verify that RSTU is a trapezoid, we would have to determine slope of the pair of opposite sides and check whether at least one pair of opposite sides are parallel;
RU ║ ST
Slope of side RU = Slope of side ST
Slope of RU = (y₂ - y₁)/(x₂ - x₁)
Slope of RU = (1 + 3)/(5 + 3)
Slope of RU = 4/8
Slope of RU = 0.5.
Slope of RS = (y₂ - y₁)/(x₂ - x₁)
Slope of RS = (-9 + 3)/(-4 + 3)
Slope of RS = -6/-1
Slope of RS = 6.
Slope of ST = (y₂ - y₁)/(x₂ - x₁)
Slope of ST = (-2 - 1)/(10 - 5)
Slope of ST = -3/5
Slope of ST = -0.6.
Slope of UT = (y₂ - y₁)/(x₂ - x₁)
Slope of UT = (-2 + 9)/(10 + 4)
Slope of UT = 7/14
Slope of UT = 0.5.
Therefore, RSTU is a trapezoid because the opposite sides RS and UT are parallel.
Question 5.
In order to determine whether RSTU is an isosceles trapezoid, we would have to determine length of the diagonals by using the distance formula and check whether they are congruent;
Distance = √[(x₂ - x₁)² + (y₂ - y₁)²]
Distance RT = √[(-2 + 3)² + (10 + 3)²]
Distance RT = √170 units.
Distance = √[(x₂ - x₁)² + (y₂ - y₁)²]
Distance US = √[(5 + 4)² + (1 + 9)²]
Distance US = √181 units.
Therefore, RSTU is not an isosceles trapezoid because the diagonals RT and US are not congruent.
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When Georgie buys three boxes of apples she has 40 pounds more than when she has one box of apples. How many pounds of apples will there be an eight boxes?
Answers
Answer:
160 pounds
Step-by-step explanation:
If she has 3 boxes and there's 40 more pounds than if she had one, that means each box is 20 pounds so multiply 20 by 8 and you get 160 pounds
21345555555555645444446r545-123456789876543ew234567
Answers
A recipe requires 3 cups of flour to make 15 servings and 7 cups of flour to make 35 servings how many cups of flour are needed to make 20 servings?
Answers
Answer:
a = 8
b = 2
c = 48
Step-by-step explanation:
3 cups of flour is needed to make 24 servings.
3:24
Simplify. First, divide 3 from both sides of the ratio.
(3)/3 : (24)/3
1:8
Next, solve for b. You multiply 2 to 8 to get 16. Next, multiply 2 to 1
1 x 2 = b = 2
Finally, multiply 8 to 6 to get c.
8 x 6 = c = 48
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