Graph the line that represents a proportional relationship between y and x where the unit rate of change of y with respect to x is 4/5. In other words, a change of 1 unit in x corresponds to change of 4/5 units in y. Graph the line and write the equation of the line.

Answers

Answer 1

Answer:

The required line is will be:

y = 4/5x

The graph of the line y = 4/5x is attached below.

Step-by-step explanation:

We know that when y varies directly with x, we get the equation

y ∝ x

y = kx

k = y/x

where k is called the 'constant of variation'.

It is also clear that 'constant of variation' basically represents the slope m or rate of change, with the lines passing through the origin, so

given

k = 4/5

substitute k = 4/5 in the equation y = kx

y = kx

y = 4/5x

Therefore, the required line is will be:

y = 4/5x

The graph of the line y = 4/5x is attached below.

Graph The Line That Represents A Proportional Relationship Between Y And X Where The Unit Rate Of Change

Related Questions

what’s the solution? please help!!

Answers

Answer:

(2, 4)

Step-by-step explanation:

Since, lines are intersecting at point (2, 4).

Therefore, (2, 4) is the solution.

IF YOU GET THIS QUESTION RIGHT I HAVE TWO MORE FOR YOU WHICH IS MORE POINTS. ONLY IF YOU GET IT RIGHT THOUGH
The price of a gallon of unleaded gas was $2.87 yesterday. Today, the price fell to $2.82 . Find the percentage decrease. Round your answer to the nearest tenth of a percent.

Answers

Answer:

1.74%

Step-by-step explanation:

2.87-2.82=0.05

0.05/2.87=x/100

0.05x=287

x=1.74

HELPPPPPPPPPPPPPPPPPPPPPPP I"LLLL GIVE FIVE STAARS AND BRAINLIEST!!!!!!!!!!!!!!!
Figure 1- 6 blocks
figure 2- 11 blocks
Figure 3- 18 blocks
Which of the following functions represents f(n), the number of small squares in figure n?
a.f(n)=4n^2+2
b.f(n)=n^2+5
c.f(n)=(n+1)^2+2
d.f(n)=(n+1) (n+2)

Answers

Answer:

c. f(n) = (n+1)^2 + 2

Step-by-step explanation:

It is c. because...

f(n) = (1+1)^2 + 2

        2^2 + 2

        4 + 2 = 6 (first term)

f(n) = (2+1)^2 + 2

        3^2 + 2

        9 + 2 = 11 (second term)

f(n) = (3+1)^2 + 2

        4^2 + 2

        16 + 2 = 18 (third term)

Find each difference. (hint: If you get stuck, consider drawing a number
line diagram.)
9-4=
• 4-9 =
• 9 + (-4) = 5
9-(-4) = -5
• (-4) - (-9) =
• (-9) - (-4) =

Answers

I’ll try to help.
9 - 4 = 5
4 - 9 = -5
9 + (-4) = 5
9 -(-4) = -5
(-4) - (-9) = -13
(-9) - (-4) = -13

Kira had some money sitting in a savings account that earns 2.75% simple interest each year. She left it there for 8 years and earned $495 in interest. How much money did she have in the account to begin with.

Answers

Answer:

$2250

Step-by-step explanation:

First, converting R percent to r a decimal

r = R/100 = 2.75%/100 = 0.0275 per year,

then, solving our equation

I = 2250 × 0.0275 × 8 = 495

I = $ 495.00

The simple interest accumulated

on a principal of $ 2,250.00

at a rate of 2.75% per year

for 8 years is $ 495.00.

Which ratio is not equivalent to 2 : 7? Please help I need the answer now!!

Answers

Answer:

20 : 65

Step-by-step explanation:

2 x 4 = 6

7 x 4 = 28

2 x 7 = 14

7 x 7 = 49

2 x 11 = 22

7 x 11 = 77

2 x 10 = 20

7 x 10 = 70 not 65

Answer:

C - 20:65

Step-by-step explanation:

7 can't even divide into 65.

can you guys solve this please step by step thank you so much x + 18 = 2x + 9

Answers

Answer:

x=9

Step-by-step explanation:

x+18=2x+9

-x       -x

18=x+9

-9     -9

9=x

x=9

The answer is x = 9

Hi can someone help me plot these points on a graph and draw a line through them? I don’t need help with number 5, only 6. I really need help, so if someone can draw the graph and post it I’d really appreciate it.

Answers

Answer:

Step-by-step explanation:

I couldn't draw the line through but I'm pretty sure you can eyeball it. I'm sorry if this didn't help.

Given that p varies jointly as q and r, and p = 7. when q = 2
and r= 1.5, find the following:

a. an equation relating p, q, and r
b. p when q = 4 and r= 6
c. p when p=1 and r=3
d. r when p= 5 and q = 8

Answers

Answer:

P = k*q*r

Step-by-step explanation:

P = kqr

7 = k*2*1.5

7 = 3k

k = 7/3

b. P = kqr

= 7/3*4*6

= (7*4*6)/3

= 168/3

= 56

P = 56

c. P = kqr

1 = 7/3*q*3

1 = (7*q*3)/3

1 = 21q/3

Cross product

1*3 = 21q

3 = 21q

q = 3/21

= 1/7

q = 1/7

d. P = kqr

5 = 7/3*8*r

5 = (7*8*r)/3

5*3 = 56r

15 = 56r

r = 15/56

help me asap!!!!
Consider the function, y= 2x – 1
use the above function to complete the following table.

Answers

Answer (numbers needed in boxes, going from top to bottom):

1

-1

-3

3

Step-by-step explanation:

f(x) is another way of saying y. So, the table is asking, "when substituting these x values for the x's in the function, what does y equal?" So, to answer the question, substitute each x value into the equation and solve.

1) Start with the x value of 1. Substitute 1 for x in y = 2x - 1 and solve:

[tex]y = 2(1)-1\\y = 2 - 1\\y = 1\\[/tex]

So, when x equals 1, y equals 1. Therefore, the first box on the top must be filled out with the number 1.

2) Do the same with the rest of the x values. Here are the steps to solve each one, going in order from the top towards the bottom:

x = 0

[tex]y = 2(0) - 1\\y = 0 - 1\\y = -1[/tex]

x = -1

[tex]y = 2(-1) - 1\\y = -2 -1 \\y = -3\\[/tex]

x = 2

[tex]y = 2(2)-1\\y = 4-1\\y = 3\\[/tex]

3x + 2 = 2x + 6


Please hurry

Answers

Answer:

Solve for  x  by simplifying both sides of the equation, then isolating the variable.

x  =  4

Step-by-step explanation:

I hope this helps! Have a good day!

Answer: 4

Step-by-step explanation:

HELP!! find the value of x please

Answers

I am orearte sure the correct answer is 280 please give me brainliest if u can

-\frac{4}{5}a=

5
4

a=
\,\,-6
−6

Answers

Answer:

hi

Step-by-step explanation:=o

(2x + 1)(x-2)(x + 3)​

Answers

i hope that helped you!

PLEASE HELP I WILL GIVE BRAINLIEST !!

Answers

Answer:

$676.8

Step-by-step explanation:

all you need to do is subtract jared's commission from the value of jewelry sold

720-43.20= 676.8

easy it is 160 your welcome


The length of the base of an isosceles triangle is x. The length of a leg is 5x - 3. The perimeter of the triangle is 104.

Answers

Answer:

x = 10

Step-by-Step Explanation:

Since this triangle is an isosceles, that means two sides are the same and so being that two sides are the same, we can use this equation (5x - 3) • 2.

At first I tried 5, but soon after realized that it wouldn't be enough to make 104, so I doubled the number to 10.

x = 10

((5 • 10) - 3) • 2

(50 -3) • 2

47 • 2 = 94 ( sum of the two equal sides)

94 + 10 = 104

I'm not smart and I stink at math so can someone plz help me 12/x = 8

Answers

1. We need to get rid of all the denominator in this equation.

This can be done by multiplying left and right sides by the LCD.In the problem: 12/x = 8, the LCD is X.

12/x = 8 is now 12 = x * 8

1a. 8 * x = 8x

Now, your answer is 3/2, but It's improper. Let's convert it into a mixed number.

Subtract 3 by 2.

3 - 2 = 1

3/2 = 1 1/2

Therefore, your answer is 1 1/2. Also, the answer is 1.5.

Oiiiiiiiiiii can Someone plz help me……

Answers

Answer:

64/5

−9 /25

Step-by-step explanation:

4^3/5=64/5

−( 3 /5 )^2

−9 /25

Sue bought 2 pairs of jeans and a belt that cost $6.95. The tax on the items was $5.85. Sue paid the cashier $70.00. How much money did Sue receive in change? Write you answer in a complete sentence.

Answers

Answer: Sue's change will be $57.20

Step-by-step explanation:

Sue bought 2 pairs of jeans and a belt for $6.95.

Sue also paid a tax of $5.85 for the items.

Sue gave the cashier $70, her change will therefore be:

= 70 - 6.95 - 5.85

= $57.20

What is the solution to the equation?
5=2/5a

A.2

B.4 3/5

C.12 1/2

D.25

Answers

Answer:

Exact form - [tex]\frac{25}{2}[/tex]

Decimal form - 12.5

Mixed number form - 12[tex]\frac{1}{2}[/tex]

Have a nice day.

describe the relationship between terms in each arithmetic sequence then write the next three terms in each sequence 8,18,28,38,​

Answers

Answer:

adding 10 to the term to get the next. Next 3 terms are 48, 58, 68

Step-by-step explanation:

find x of the triangle

Answers

Answer:

The angle is 90 degrees

Step-by-step explanation:

Is that what ur asking?

Answer: 15.199

Step-by-step explanation:

Using the Pythagorean theorem, we know that a²+b²=c²

In this case, we know that c is 16, and that b is 5.

We can rearrange the equation so that it becomes a²=c²-b²

a²=16²-5²

a²=256-25

a²=231

√a²=√231

a=15.199

The transcontinental railroad was finished on May 10, 1869, at Promontory Point, Utah with four final spikes, not just the “golden spike”. true or false

Answers

Answer:

False

Step-by-step explanation:

It was the "golden spike" that was driven as the final spike by  Leland Stanford. This spike was driven on the ceremony of completion of new rail project that connects  First Transcontinental Railroad (USA) with the Central Pacific Railroad (Sacramento) and the Union Pacific Railroad (Omaha) on May 10, 1869.

Hence, the given statement is False

If you deposit $5,000 into an account that pays 4.75% annual interest how much money will be in the account after 7 years if the account compounds

Answers

$6662.50

4.75% = $237.50
$237.50 x 7 = $1662.50

$5000 + $1662.50 = $6662.50

Answer = $6,662.50

9a^4- b^2 factor plz I need help

Answers

just act like i did help okay okay.

2x+x+5x=
what’s the answer?

Answers

Answer:

8x

Step-by-step explanation:

Simplify 9xºy-3 Write your answer using only positive exponents.

Answers

Answer:

we conclude that:

[tex]\:9x^0y^{-3}=\frac{9}{y^3}[/tex]

Step-by-step explanation:

Given the expression

[tex]9x^0y^{-3}[/tex]

Apply exponent rule:    [tex]a^{-b}=\frac{1}{a^b}[/tex]

[tex]\:9x^0y^{-3}=9\cdot \:\frac{1}{y^3}x^0[/tex]

Apply rule:   [tex]a^0=1,\:a\ne \:0[/tex]

             [tex]=9\cdot \:1\cdot \frac{1}{y^3}[/tex]

Multiply fractions:   [tex]a\cdot \frac{b}{c}=\frac{a\:\cdot \:b}{c}[/tex]

              [tex]=1\cdot \frac{1\cdot \:9}{y^3}[/tex]

Refine

               [tex]=\frac{9}{y^3}[/tex]

Thus, we conclude that:

[tex]\:9x^0y^{-3}=\frac{9}{y^3}[/tex]

What is 27 divided by 3 x 2 ?

Answers

Answer:

3×3×3/(3×2)

9/2is a answer

Analyze the diagram below and complete the instructions that follow. Solve triangle EFD.

Answers

Answer:

D

Step-by-step explanation:

I just took the quiz

5. Mississippi and Georgia have a total of 21 electoral votes. Mississippi has 6 electoral votes. Use mental math or the guess, check, and revise strategy to solve the equation 6 + g = 21 to find g, the number of electoral votes Georgia has.​

Answers

Answer:  g = 15 . Georgia has 15 electoral votes.

Step-by-step explanation:

Mental math:  How many do I need to make up the difference?

counting by 5s:  5, 10 15, 20.  

6 is one more than 5.

From 5, three more 5's gets us close to 20.  It works.

6 + 15 = 21

Other Questions
4.Identify each substance in the following word equation as a reactant or a product limestone heat lime + carbon dioxide5.What is the difference between an exothermic and endothermic reaction? Write the number 2.3 x 10^4 in standard form. Plsssssssssss Help!!!!! Think about the 500,000 scrolls that were contained in the library of Alexandria. Why do you think scholars traveled from all over the world to visit the library in ancient times. There are 48 female performers in a dance recital. The ratio of men to women is 5:6. How many men are in the dance recital? Find the area of the triangle on the grid below. 11.What is 1.24 written as a percent? What do you think the price of a pair of shoes would dependon? write an equation for the line that passes through the given point1. (-3,1), (0,-8) this is due today pls help Find the last term to make the trinomial into a perfect square:X2+3/4x how the territory of Louisiana and Oregon became a territory of the United States 9c + 3 + 13c 4c + 4 24c=? Examination of the amino acid composition of a newly isolated protein indicates the presence of 10 lysines, 5 arginines, and 4 methionines. When the protein is treated with cyanogen bromide, four peptides are obtained. When it is treated with trypsin, 16 peptides are obtained. What do these results suggest regarding the sequence of the protein Using Microsoft Word, write a 250-word essay on the fading of home telephone use with the advent of recent technology, and share your personal experiences with this change. Provide at least two references using APA format. Record observations of the reaction andproducts in the data table.The brown solid that formed is Please simplify the expression, I can give brainliest :) Rupesh is mowing grass to save money for a vacation. He charges $12 per yard. Rupesh already has $40 and wants to have at least $148 to take with him. Write and solve an inequality to determine how many yards Rupesh needs to mow to have at least $148. Interpret the solution. Show your Work Name: Date: Explain about the First Amendment. What is it and why is it important? How does it impact your life? please I need it ASAP its an essay a minimum of 200 or 250 please and thank you I will help you if you need help in something The chemical formula of bromomethane is BrCH3. Which correctly describes the number of atoms of each element in bromomethane? can someone help I am on a timer!!