the equation y equals 1/5x represents a proportional relationship. explain how you can tell the relationship is proportional from the graph of the equation, and how can you find the constant of proportionality

Answers

Answer 1

If the equation is in y = k*x form, then we have a direct proportional relationship between x and y. In this case, y = (1/5)*x is in the form y = k*x where k = 1/5. So this equation is proportional. The constant of proportionality is k = 1/5

In terms of a graph, you can tell if it has the following properties:
1) The graph goes through the origin (0,0) which is where the x and y axis cross
2) The graph is a straight line

You should find that graphing y = (1/5)x will satisfy both properties above, so that will visually confirm you have the right answer. The graph is shown in the attached image. The red line represents the graph of the equation. The red line goes through (0,0) and (5,1), which are point A and point B respectively.

The Equation Y Equals 1/5x Represents A Proportional Relationship. Explain How You Can Tell The Relationship

Answer 2

Answer:

Sample answer: When you graph the equation, you get a straight line that passes through the origin, which means the relationship is proportional. The constant of proportionality is the y-value when x = 1, which is 1/5.

Step-by-step explanation:

This is just a simpler version of what the other person said :)

Related Questions

The result of rounding the whole number 724,804 to the nearest thousands place is:

Answers

that would be 725,000 because of the 8 in the hundreds place

725,000 , the 8 is in the hundreds place.

If I have a 40 % and my teacher puts in 3 100% what’s my grade ?

Answers

It would be an A if i'm correct.

Your grade would be an 85%. The way you do the math is to add the 3 100% together to get 300%. Then you would add the 40% to the 300% to get 340%. After, you would divide that percentage by four since you added only four numbers. When you divided, you would get 85%.

Show how you know (5, 6.5) is or is not a solution to the equation y = -1/2x + 9 above.

Answers

You would insert your coordinates to see if it is a solution.

x=5 y=6.5 So your new equation is

6.5 = -1/2(5)+9

This is a solution because -1/2(5) is equal to -2.5, and then -2.5 + 9 is equal to 6.5

Answer please???????

Answers

Pi*r^2=area
(you have diameter so cut it in half)
Pi*24^2=
1809.55

Area: π(48/2)²=1809.56

Select all the expressions that are equivalent to 8w - 9 + 5 - 2w.
2(3w - 2)
(6w + 3) + (2w - 7)
6w - 4
(11w - 1) - (5w + 3)
3w + 7 + 3w - 11
10w + 14
2(5w + 7)

Answers

Answer:

2(5w+7)

Step-by-step explanation:

Hope it helped

The Expressions equivalent to 8w - 9 + 5 - 2w are: 6w-4 and (11w - 1) - (5w + 3).

We have,

8w - 9 + 5 - 2w == 6w - 4

1. 2(3w - 2):

Distributing the 2, we get: 6w - 4

Result: Not equivalent to 8w - 9 + 5 - 2w

2. (6w + 3) + (2w - 7):

Simplifying the parentheses, we get: 8w - 4

Result: Not equivalent to 8w - 9 + 5 - 2w

3. 6w - 4:

Result: Not equivalent to 8w - 9 + 5 - 2w

4. (11w - 1) - (5w + 3):

Simplifying the parentheses, we get: 6w - 4

Result: Equivalent to 8w - 9 + 5 - 2w

5. 3w + 7 + 3w - 11:

Combining like terms, we get: 6w - 4

Result: Equivalent to 8w - 9 + 5 - 2w

6. 10w + 14:

Result: Not equivalent to 8w - 9 + 5 - 2w

7. 2(5w + 7):

Distributing the 2, we get: 10w + 14

Result: Not equivalent to 8w - 9 + 5 - 2w

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A standard number cube with the numbers 1 through 6 is rolled. Find the probability of rolling a number greater than 5 .

1. 1 / 6
2. 1 / 3
3. 1 / 4
4. 2 / 3

Answers

Hello!

To find the probability you put the amount of favorable outcomes over the total amount of outcomes

The cube has numbers 1 - 6 on it

Only 1 number is greater than 5 (6)

That gives us 1 favorable outcome and 6 total outcomes

The answer is A) 1/6

Hope this helps!

The probability of rolling a number greater than 5 is 1/6.

What is probability?

Probability is the ratio that shows the likelihood an event will occur or not from a given set of events.

We can find the probability of rolling a number greater than 5 below:

The total number of faces that have a number greater than 5 = 6.

The total number of faces = 6.

Therefore, the probability of that can be found as shown below:

P( rolling a number greater than 5 ) = The total number of faces that have a number greater than 5/The total number of faces

= 1/6

We have found the probability.

Therefore, we have found that the probability of rolling a number greater than 5 is 1/6.

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Please help me with this.

Answers

Answer:

2(6x - 1 + 3x + 2) = 2(9x + 1) = 18x + 2

The area of a square quilt is 196 square inches. There is a smaller square patch on the quilt with an area of 49 square inches. What is the difference between the overall perimeter of the quilt and the perimeter of the smaller square patch?

Answers

To find your answer you would find the perimeter of the small square which is 28.

You would then find the perimeter of the big square which is 56.

Next, you subtract 56 from 28 and get 28.

So the difference is 28 inches.

Hope this helps!!

First find the length of one side of the quilt and patch. In this case you just need to calculate square roots of 196 and 49.
So the length of one side of the quilt is: √196=14.
The length of one side of the patch is: √49=7.
Last step is to find the difference of perimeter of quilt and the patch: 14×4-7×4=28.
So, here we go, your final answer for this problem should be 28!

Suppose there is a relationship between independent and dependent variables represented by a scatterplot. Which statement is correct? The independent variable influences change in the dependent variable only if the points on the scatterplot go up from left to right. The independent variable influences change in the dependent variable whether the points on the scatterplot go up or down from left to right. The dependent variable influences change in the independent variable only if the points on the scatterplot go up from left to right. The dependent variable influences change in the independent variable whether the points on the scatterplot go up or down from left to right. Mark this and return

Answers

Answer:

B: The independent variable influences change in the dependent variable whether the points on the scatterplot go up or down from left to right.

Step-by-step explanation:

edg2021

dependent means it depends on something, such as the independent variable that will change it

The independent variable influences the dependent variable in a scatterplot regardless of whether the relationship is positive (upward slope) or negative (downward slope), which is shown by the direction in which the points trend.

The correct statement is: The independent variable influences change in the dependent variable whether the points on the scatterplot go up or down from left to right. This means that the independent variable can have either a positive relationship or a negative relationship with the dependent variable. If there is a positive relationship, as the independent variable increases, the dependent variable also increases and vice versa. Conversely, in a negative relationship, as the independent variable increases, the dependent variable decreases, and as the independent variable decreases, the dependent variable increases. A scatterplot is a tool that helps visualize these relationships, with the independent variable typically plotted on the horizontal axis and the dependent variable on the vertical axis. The slope of the points in a scatterplot indicates the direction of the relationship, which can be assessed by observing whether most points lie around a line that slopes upwards or downwards.

two softball players are comparing the throwing distance representing by HSN PF how many feet longer is HF then PF round your answer to the nearest whole number

Answers

Did u find the answer ??? I need it

(5 points)

Points A and B are two of the vertices of a right triangle. They are the endpoints of the hypotenuse AB¯¯¯¯¯ of the triangle. The third vertex of the triangle lies in the first quadrant.

Plot a point at the location of the third vertex.

Answers

2,-2 because it goes by the coordinate x,y.

If you squeeze one orange you would get 4 ounces of juice do you want does make 32 ounces of juice how many oranges much you squeeze

Answers

Hello there, and thank you for posting your question here on brainly.

Short answer: 8 oranges.

Why?

You can find the answer to this by dividing 32 by 4. What is 32 divided by 4? 8. (32 / 4 ==> 8)

Hope this helped you! ♥

the number of oranges is 8:
x = number of oranges
1/4=x/32
x=32/4=8 oranges
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Explain one way to determine if a quadrilateral has congruent angles

Answers

The easiest, simplest way to determine if a quadrilateral has a congruent angle is to pull out a protractor and measure the angles. How ever many angles have the same degrees is how many congruent angles a quadrilateral has.

Use the net to find the approximate surface area of the cylinder to the nearest square meter

Answers

302m^2 is the answer.

Answer:

[tex]\text{Surface area of cylinder is }302\thinspace m^2[/tex]

Step-by-step explanation:

Given the cylinder with radius 3 m and height 13 m. we have to find the surface area of the cylinder to the nearest square meter.

Radius=3 m

Height=13 m

[tex]\text{Surface area of cylinder is }\\\\=2\pi r(r+h)\\\\=2\times\frac{22}{7}\times3(3+13)\\\\=\frac{132}{7}(16)=301,71\sim302\thinspace m^2[/tex]

[tex]Hence,\text{surface area of cylinder is }302\thinspace m^2[/tex]

Option 3 is correct.

A rectangular cake has a length of 13 1/2 inches and a width of 9 inches. How many whole, square pieces of cake with side lengths of 2 1/4 inches can be cut from the cake?

Answers

Let’s find the area of the rectangular cake and the square pieces.
I’m going to turn the fractions into decimals since it’s easier for me.
13.5•9
121.5
Now find the area of the square pieces.
2.25•2.25
5.0625
Now divide the area of the cake by the pieces to find how many can fit.
121.5/5.0625
24
So, 24 square pieces can be cut out of the rectangular cake.

Plz jphelp me answer this year 7 question and explain how u got the answer.

Answers

The number in each block is the magnitude of the difference of the two numbers below it.

P = |17 -11| = 6 . . . . . selection B

Working from the bottom up, the empty boxes below Q are 16 -12 = 4, 10 -4 = 6. Then ...
Q = 7 -6 = 1 . . . . . selection A

-61/12=b-4/3 help me out please

Answers

-61/12= b - 4/3
add 4/3 to both sides

-61/12 + 4/3= b
convert 4/3 to like denominator; 3 goes into 12 four times and 4*4= 16/12

-61/12 + 16/12= b
combine numerators

(-61 + 16)/12= b

-45/12= b
simplify by 3

-15/4= b

ANSWER: -15/4= b

Hope this helps! :)

(27/7) = b

See attached for work

Eva is jumping on a trampoline. Her height h at time t can be modeled by the equation h=-16t^2+20t+6. Would Eva reach a height of 14 feet?

Answers

Given the equation modeling Eva's height at time,t. To evaluate if she will reach height of 14 ft, we evaluate maximum height that she will reach.
At maximum height h'(t)=0
but
h(t)=-16t^2+20t+6
h'(t)=-32t+20=0
solving for t we get:
-32t=-20
t=20/32
t=5/8
thus the maximum height reached was:
h(5/8)=-16(5/8)^2+20(5/8)+6
h(5/8)=12.25 ft
Thus we conclude that she won't reach the height of 14 ft because her maximum height was 12.25 ft

A function assigns the value of each element of one set to the other specific element of another set. Eva can not reach a height of 14 feet.

What is a Function?

A function assigns the value of each element of one set to the other specific element of another set.

As the function of the height of the jump, Eva is given as h=-16t^2+20t+6. Now, in order to know if Eva will reach 14 feet height, we need to substitute the value of her height of Eva as 14 feet, therefore,

[tex]h=-16t^2+20t+6\\\\14=-16t^2+20t+6\\\\16t^2 - 20t+14-6=0\\\\16t^2 -20t + 8=0[/tex]

If we calculate the discriminant of the given quadratic equation, we will understand that the given quadratic equation has imaginary roots.

Therefore, Eva can not reach a height of 14 feet.

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Use the method of completing the square to transform the quadratic equation into the equation form (x + p)2 = q. 3 + x - 3x2 = 9

Answers

[tex]x-3x^2=9\\\\3x^2-x=-9\ \ \ \ |:3\\\\x^2-\dfrac{1}{3}x=-3\\\\x^2-2\cdot x\cdot\dfrac{1}{6}+\left(\dfrac{1}{6}\right)^2=-3+\left(\dfrac{1}{6}\right)^2\ \ \ \ |use:\ (a-b)^2=a^2-2ab+b^2\\\\\left(x-\dfrac{1}{6}\right)^2=-3+\dfrac{1}{36}\\\\\left(x-\dfrac{1}{6}\right)^2=-2\dfrac{35}{36}[/tex]

Answer: No solution.

I have to use the distributive property to rewrite each algebraic ez
xpression i need answers please?1?1 3 (× + 1) =____?, 5(× + 8) =____?, 4 (× + 6) =___?

Answers

They would be: 3(x+1) = 3x+3, 5(x+ 8) = 5x+40, 4 (x + 6) = 4x+24. You just have to multiply the numbers in the brackets individually by the number that comes before the brackets.

State which of the following ordered pairs is a function.

Set A: (-1, 0), (-2, 1), (4, 3), (3, 4)

Set B: (1, 4), (2, 3), (3, 2), (4, 1)

Set C: (2, 1), (3, 2), (2, 3), (1, 4)

a. Set A

b. Set B

c. Both Set A and Set B

d. Set C

Answers

the answer is c, you see if the first number repeats

Answer:

Step-by-step explanation:

A plumber charged $78 for 4 hours' work. What is his rate per hour?

Answers

$19.50 an hour. $78/4 hours is 19.5

19.50 dollars per hour. Divide 78 by 4. You will get 19 add a decimal and add a 0 to the remainder of 2. You will get 19.5

linda is building a rectangular playhouse. the width is x feet. the length is x + 3 the distance around the base of the playhouse is 36 feet. is 8 the value of x? explain

Answers

The value of x is 7.5, not 8. Hence, 8 is not the correct value of x.

What is the value of x?

The perimeter of a rectangle is expressed as:

Perimeter = 2( length + width )

Given that:
The width of the rectangular playhouse = x feet

The length = x + 3

Perimeter = 36 feet

To determine whether 8 is the value of x, we can set up an equation using the formula for the perimeter of a rectangle.

Perimeter = 2( length + width )

Plug in the given values:

36 = 2( (x+3) + x )

Solve for x:

36 = 2( 2x + 3 )

36 = 4x + 6

4x = 36 - 6

4x = 30

x = 30/4

x = 7.5

Based on the calculation, the value of x is 7.5, not 8.

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how many square feet is 20 ft by 20 ft

Answers

To find out how many square feet 20 feet by 20 feet is, we have to multiply the two quantities. Since 20 * 20 = 400, and feet * feet = feet², 20 feet * 20 feet is 400 feet².

leah is placing books on a one meter long shelf. If each book is 2 cm wide, how many books will fit on the shelf?

Answers

1 m = 100 cm

1 book = 2cm wide.

Number of books = 100 ÷ 2 = 50 books.

Answer: 50 books can fit on the shelf.

75 points
Write and solve an equation to find the measure of ∠NEP. Make sure you show all work.

Answers

Answer:

Angle NEM = 110 degrees

Here's how:

Observe in the figure that Angle NEM = 70 degrees

Angle NEM = straight line,

Therefore:

180 - 70 = 110

The answer is:

Angle NEM = 110 degrees

Note that Angle PEQ in the figure is seventy (70) degrees based on what we call "vertical angles theorem" that proves Angle NEM to be equal to our answer 110 degrees since NEQ is 180 degrees.

Answer:

your anser is 110

Step-by-step explanation:

180 - 70 = 110

If a = 0.3 with a line over 3 and b = 0.5 with a line over 5, what is the value of a + b?

8/10
8/9
88/100
80/99

Answers

8/10 is the answer i think I"m right Because 0.3+0.5=0.8 so 8/10=0.8 so that's why i think 8/10 is the answer.

a = 0.3 recursive = 3/9

b = 0.5 recursive = 5/9

a + b = 3/9 + 5/9 = 8/9

Answer: 8/9

Ronaldo tossed a quarter and three dimes at the same time. The quarter landed heads up what is the probability that all the dimes also laded heads up

Answers

I think 1/3 correct me someone if i'm wrong if i am srry

Two people start walking at the same time in the same direction. One person walks at 8 mph and the other person walks at 2 mph. In how many hours will they be 4.5 miles apart?

Answers

time = distance/speed

The distance between the walkers increases at the rate of (8 mph) -(2 mph) = 6 mph. That distance will be 4.5 mi after ...
(4.5 mi)/(6 mi/h) = 4.5/6 h = 3/4 h

In 3/4 hour they will be 4.5 miles apart.

Final answer:

Two people walking at 8 mph and 2 mph, respectively, will be 4.5 miles apart in 0.75 hours, or 45 minutes, because they are moving apart at a relative speed of 6 mph.

Explanation:

To calculate the time it will take for two people walking at different speeds to be 4.5 miles apart, we need to find the relative speed at which they are moving apart. The first person walks at 8 miles per hour (mph), and the second person walks at 2 mph. The relative speed is the difference in their speeds, which is 6 mph (8 mph - 2 mph).

We know that they want to be 4.5 miles apart. To find the time (t), we use the formula distance = speed × time, or rearranged to solve for time, time = distance / speed. Plugging in our values we get time = 4.5 miles / 6 mph, which simplifies to 0.75 hours. Therefore, it will take them 0.75 hours or 45 minutes to be 4.5 miles apart.

How does the zero product property help you find the x intercept of y=x^2-x-12?

Answers

We first factor this quadratic. We want factors of c, -12, that sum to b, -1; -4(3) = -12 and -4+3 = -1, so those are the two we will use:
y=(x-4)(x+3)

The zero product property tells us that in order to get a product of zero, one of the factors must be zero. This means either x-4=0 or x+3=0. We solve both of these equations to find the roots, or x-intercepts:
x-4=0
x-4+4=0+4
x=4

x+3=0
x+3-3=0-3
x=-3

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