The graph of a proportional relationship contains the point (20, 4).What is the corresponding equation?
Enter your answer as a fraction in simplest form in the box.

y = x

Answers

Answer 1

Answer:

Answer:

$y=(1)/(5)x$

Step-by-step explanation:

we know that

A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form $y/x=k$ or $y=kx$

In a proportional relationship the constant of proportionality k is equal to the slope m of the line and the line passes through the origin

In this problem we have

$point (20,4)$

Substitute the values and solve for k

$k=y/x$

$k=(4)/(20) =(1)/(5)$

therefore

the equation of the line is equal to

$y=(1)/(5)x$

Answer 2

Answer:

Answer:

$y = (1)/(5)x$

Step-by-step explanation:

Direct proportionality states:

if $y \propto x$

then, the equation is in the form of:

$y = kx$ ......[1] where, k is the constant of proportionality.

As per the statement:

The graph of a proportional relationship contains the point (20, 4).

Substitute these point in [1] we have;

$4 = 20x$

Divide both sides by 20 we have;

$(1)/(5) = k$

$k=(1)/(5)$

Therefore, the corresponding equation is:

$y = (1)/(5)x$

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The trucking company also needs to deliver 1 2/3 tons of oak logs and 1 7/12 tons of maple logs. Which load weighs more?

Answers

the oak logs weigh more because 2/3= 8/12

Final answer:

To determine which load is heavier, oak logs weighing 1 2/3 tons or maple logs weighing 1 7/12 tons, we convert these to improper fractions and find that 44/12 tons (oak logs) is heavier than 19/12 tons (maple logs).

Explanation:

To determine which load weighs more, we must compare 1 2/3 tons of oak logs and 1 7/12 tons of maple logs. First, we need to convert these mixed numbers into improper fractions. For the oak logs, we multiply 3 (the whole number) by 3 (the denominator) and add 2 (the numerator), giving us 11/3 tons. For the maple logs, we multiply 1 by 12 (the denominator) and add 7 (the numerator), giving us 19/12 tons.

To compare, we convert these fractions so they have a common denominator:

11/3 tons is equal to 44/12 tons when multiplied by 4/4.

19/12 tons remains unchanged as it already has the common denominator of 12.

Now we compare 44/12 (oak logs) and 19/12 (maple logs). 44/12 tons is greater than 19/12 tons, so the load of oak logs weighs more than the load of maple logs.

Learn more about Comparing Weights here:

brainly.com/question/33449705

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Given the function T(z) = z – 6, find T(–4).  A.10
B.–10
C.2
D.–2

What is the range of the function: {(1, 2); (2, 4); (3, 6); (4, 8)}?
A.{2, 4, 6, 8}
B.{1, 2, 3, 4}
C.{6, 8}
D.{1, 2, 3, 4, 6, 8}

What is the domain of the function: {(1, 3); (3, 5); (5, 7); (7, 9)}?
A.{3, 5, 7, 9}
B.{1, 3, 5, 7}
C.{1, 9}
D.{1, 3, 5, 7, 9}

Suppose p varies directly as d, and p = 2 when d = 7. What is the value of d when p = 10?
A. d =20/7
B.d = 15
C. d =7/5
D.d = 35

The number of calories burned, C, varies directly with the time spent exercising, t. When Lila bikes for 3 hours, she burns 900 calories. Which of the following equations shows this direct linear variation?  A.C = 300t  B.C = t  C.C = 3t  D.C = 900t

Answers

$(1)\nT(z)=z-6\ \ \ \Rightarrow\ \ \ T(-4)=-4-6=-10\ \ \ \Rightarrow\ \ \ Ans.\ B.\n\n(2)\nrange:\ \ \ Y=\{2;\ 4;\ 6;\ 8;\}\ \ \ \Rightarrow\ \ \ Ans.\ A.\n\n(3)\ndomain:\ \ \ D=\{1;\ 3;\ 5;\ 7\}\ \ \ \Rightarrow\ \ \ Ans.\ B.\n\n(4)\n (p)/(d) =constant\n\n(2)/(7) =(10)/(d) \ \ \ \Leftrightarrow\ \ \ 2d=7\cdot10\ \ \ \Leftrightarrow\ \ \ d= (7\cdot2\cdot5)/(2) =35\ \ \ \Rightarrow\ \ \ Ans.\ D.$

$(5)\n900\ calories\ \rightarrow\ 3\ hours\nx\ \rightarrow\ \ 1\ hour\n\nx= (900)/(3) \ calories=300\ calories\n\nC=300\cdot t\ \ \ \Rightarrow\ \ \ Ans. \ A.$

What are two main purposes of all business?deeloping communities ingraece
improving pubic image
incurring costs
macming profits

Answers

Answer:

Developing communities ingraece and improving pubic image is the correct answer to the given question

Explanation:

Following are the purposes of all business is given below

Giving the maximum profit to the owner of the business .
Providing the social profit to the people as well as improving the pubic image in the environment .
The business sometimes is creating the customer kindness in the organization .
The business main objective to increasing the local jobs as well as in the disposable income.
All the other option are not correct as we compare to the public environment so these are incorrect option .

Answer:

earning revenue

maximizing profits

What is 13/250 as a decimal

Answers

.052 I hope this helps

Help please thank you

Answers

i'm sure the answer is 23

but if im not right im sorry :(

but hope this helped :)

The floor of a canyon has an elevation of −14.5feet. Erosion causes the elevation to change by −1.5 feet per year. How many years will it take for the canyon floor to have an elevation of −31