Reasoning : The equation below describes a proportional relationship between x and y. What is the
constant of proportionality? Use pencil and paper. Explain why your answer is called the "constant of
proportionality."
y = 7.87x

Answers

Answer 1

Answer:

The constant of  proportionality is 7.87.

Step-by-step explanation:

The relation between x and y is given by the equation :

y = 7.87x

y is directly proportional to x i.e.

y ∝ x

To remove the constant of proportionality, a constant 7.87 is inserted. Hence, the constant of  proportionality is 7.87.


Related Questions

12 is 3 more than 7
True or False?

Answers

Answer:

false

Step-by-step explanation:

It is 5 more 7+3 is 10 and 5+7 is 12

Answer:

false

Step-by-step explanation:

false coz 12 is 5 more than 7 not 3

A company charges $60 per day plus $0.50
per mile for truck rentals. If Greg rents a
truck for 3 days and drives it a total of 150
miles, what will the company charge?

Answers

Answer:

$225

Step-by-step explanation:

$60 ×3=$180

150 ×$0.50 = $75

$180+ $75= $225

the company will charge $225

If a 60-page magazine cost $1.20 to print, find the cost per page to print?  

Answers

Answer:

2 cents per page

Step-by-step explanation:

1.2/60 = 0.02 dollars

==> 2 cents

A town doubles its size every 70 years. If the population is currently 3,000, what will the population be in 140 years?

Answers

Answer:

12000

Step-by-step explanation:

3000x2^(140/70)

12,000


3000*2= 6000
6000*2= 12,000

Suppose that 60% of students live in AnyTown. Find the probability that:
Round to three decimals.
A) Exactly 5 out of 10 randomly chosen students live in AnyTown
B) More than 5 students out of 10 live in AnyTown
C) The first AnyTown resident you find is the 5th person you ask

Answers

Answer:

Step-by-step explanation:

A.

5 chose 10 = 10*9*8*7*6/1/2/3/4/5 = 252

252 * (0.6)^5 * (0.4)^5 = 0.201

B.

6C10 * (0.6)^6 * (0.4)^4 + ... 10C10(0.6)^10 = 0.633

C.

(0.4)^4*0.6 = 0.015

Holly shipped a 5-pound package for $4. She shipped a 3-pound package for $3.60 and a l-pound l package for $3.20. A 10-pound package cost $5 to ship. The cost follows a pattern based on the
weight. Which expression could be used
to find the shipping cost for a package
of p pounds?

Answers

Answer:

the answer would be A

Step-by-step explanation:

The cost seems to start at 3 and increase by each pound times .20 cents. Ex: 1 x .20 =.20 + 3 =3.20

Barbara needed 3 and 1/4 cups of flour for her recipe. If she measured 1/4 cup at a time, how many times did she have to fill the measuring cup?

Answers

Answer:

3/4

Step-by-step explanation:


The difference of the squares of two positive consecutive even integers is 52. Find the integers. Use the fact that, if x represents an even integer, then x + 2 represents the next consecutive even integer

Answers

Answer:

12 and 14

Step-by-step explanation:

Let x represents an even integer. Another positive consecutive even integer will be (x+2).

According to question,

The difference of the squares of two positive consecutive even integers is 52 i.e.

[tex](x+2)^2-x^2=52\\\\x^2+4+4x-x^2=52\\\\4+4x=52\\\\4x=52-4\\\\4x=48\\\\x=12[/tex]

First integer = 12

Another integer = 12+2 = 14

a discount of 15% is given on all t-shirt how much less is paid on such a T-shirt which ordinary cost $85​

Answers

Answer:

$72.25

Step-by-step explanation:

85 x 15/100

85 x 0.15= 12.75

85- 12.75=

72.25

Here is some information about the goals scored in some hockey games.

I need to respond questions B and C

Answers

Answer:

c=10

Step-by-step explanation:

HELLPPP NEED TO DO THIS BEFORE 7:00​

Answers

Answer:

7

Step-by-step explanation:

it's just 4 2/3 divided by 2/3, right?

a ant traveled 8 meters in 10 minutes. How many minutes did it take him to travel one meter?

Answers

Answer:

1 1/4 minutes of 75 seconds

Step-by-step explanation:

10/8 = 5/4 = 1 1/4

Factor by grouping 8y3–4y2–14y+7

Answers

Answer:

[tex](2y - 1)( {4y}^{2} - 7)[/tex]

Step-by-step explanation:

1) Factor out common terms in the first two terms, then in the last two terms.

[tex] {4y}^{2} (2y - 1) - 7(2y - 1)[/tex]

2) Factor out the common term 2y - 1.

[tex](2y - 1)( {4y}^{2} - 7)[/tex]

Therefor the answer is, ( 2y - 1 ) ( 4y² - 7 ).

Answer:

[tex] \huge \boxed{ \boxed{ \red{ \sf (4 {y}^{ {2} } - 7)(2x - 1)}}}[/tex]

Step-by-step explanation:

to understand thisyou need to know about:factoringPEMDASgiven:[tex] \sf 8 {y}^{3} - 4 {y}^{2} - 14y + 7[/tex]to do:factoringtips and formulas:

how to factor

factor out common constants and termsgrouplet's do:

[tex] step - 1 : define \\ \sf{8y}^{3} - {4y}^{2} - 14y + 7[/tex]

[tex] step - 2 : solve[/tex]

[tex] \sf factor \: - 7 \: and \: 4 {y}^{2} \: from \: the \: expression : \\ \sf 4 {y}^{ {2} } (2y -1 ) - 7(2y - 1)[/tex][tex] \sf \: group : \\ \sf (4 {y}^{ {2} } - 7)(2x - 1)[/tex]

y + 1 = -4(x + 1)
Graph the equation

Answers

Answer:

-4x-5

Step-by-step explanation:

sorry I can't get the graph

Answer:

Step-by-step explanation:

y = -4x-5

Rob is making a pizza the radius of the pizza is 21 inches what is the circumference of the pizza using 3.14 rounded to the nearest tenth

Answers

Answer:

131.9

Step-by-step explanation:

C = 2πr

using 3.14 for π, we get C = 2(3.14)(21)

C = 2(65.94)

C = 131.88 or about 131.9

Need help on this please any one

Answers

if you use y=mx+b that should help you get it
Try the app Desmos. Basically a graph and you type t he equation in.

How does 17- (-15) compare to 17-0

It is due there is 5 minutes please complete this. I will give brainlest, and extra points just complete this please

Answers

17-(-15)=32
17-0=0
They are not equivalent so they are different.
Also for future reference when you have 2 minus signs they equal a addition sign.
Hope this helps :) GL

In the fall, you charge people $8 for going to their house to
rake leaves, then $5 for every hour you rake. If you make $38
one day, how many hours did you spend raking?
hours

Answers

Answer:

24 hours

Step-by-step explanation:

24 hours is in a day You have to read the answer and comprehend it

13/16 - 1/4.¿ using 5th grade work

Answers

Answer:

[tex]\frac{9}{16}[/tex]

Step-by-step explanation:

Answer:

9/16

Step-by-step explanation:

1/4x4=4/16 13/16-4/16=9/16

PLZ HELP
x-5(x-1) = x- (2x-3)​

Answers

Answer:

Step-by-step explanation:

x-5(x-1) = x- (2x-3)​

x  + x *(-5) + (-1) * (-5) = x +  2x*(-1) + (-3)*(-1) {use distributive property}

x - 5x + 5 = x - 2x +3   {Combine like terms}

    -4x + 5 = - x +3           {Add 'x' to both sides}

-4x + 5 + x  = -x + x + 3

       -3x + 5 = 3           {subtract 5 from both sides}

            -3x = 3 - 5

            -3x = -2           {Divide both sides by (-3)}

              x = -2/-3

               x = 2/3

6. Y(3.5, 1), Z(-4, 2.5)
Please help

Answers

Answer:

Answer given below

Step-by-step explanation:

5. Root 104 = 10.1

10.1 x 0.5 = 5.05 miles



Write an equation that relates the number of peppers, n, and the

cost, C.

Answers

Complete Question:

The local Farm Market sells peppers at five for $2.25. Write an equation that relates the number of peppers, n, and the  cost, C.

Answer:

[tex]C = 0.45n[/tex]

Step-by-step explanation:

Given

[tex]5\ peppers = \$2.25[/tex]

Required

Determine the relationship between C and n

[tex]5\ peppers = \$2.25[/tex]

Divide both sides by 5, to get the cost of 1 pepper

[tex]\frac{5\ peppers}{5} = \frac{\$2.25}{5}[/tex]

[tex]1\ pepper = \frac{\$2.25}{5}[/tex]

[tex]1\ pepper = \$0.45[/tex]

Multiply both sides by n to get the cost of n pepper

[tex]n*1\ pepper = \$0.45*n[/tex]

[tex]n\ pepper = \$0.45n[/tex]

So, we have:

[tex]C = 0.45n[/tex]

-4x-2y=-10
3x+y=4
Using substitution

Answers

Let get x from the first equation

-4x=+2y-10

x=-1/2y + 5/2

Now substitute the x in the second equation

3(-1/2y+5/2)+y=4

-3/2y + 15/2 + y =4

Move the terms without the y to the other side

-3/2y + y = -15/2 +4

Now multiple both side by 2

-3y +2y = -15+8

-y = -7

Y = 7 (ANSWER)

Now we substitute the y in the first equation so we can get the x

x = -1/2 (7) + 5/2

x = -7/2 + 5/2

x = -2/2

X = -1 (SECOND ANSWER)

Can someone help me? I'd appreciate it

Answers

Letter D , it is 5
You can see the curve is at 5

que es funcion.?????????¿​

Answers

Answer:

es cuando una cosa esta trabajando como una computadora cuando esta encendida esta funcionando

A new section of the freeway will be 6 3/5 miles long. So far 1/6 of the new section has been completed. How many more miles must be built to complete the project?

Answers

Divide 1/16 by 3/5 and you get .104 we can check by multiplying our answer by 3/5 and we get 1/16

Which investment would make you the most interest? Explain.

A: $450 at 7% for 10 years

B: $1,300 at 5% for 6 years

Answers

B is the answer dear

The graph of f(x) = |xl is transformed to g(x) = |x+1|- 7. On which interval is the function decreasing?
O (-infinite,-7)
0 (-infinite,-1)
0 (- infinite,1)
O (-infinite ,7)

Answers

Answer:c

Step-by-step explanation:

Which point(s) on the diagram show(s) the solution(s) to the equation x = x2 - 2x - 8?
solution 1
solution 2

Answers

Answer:here is the answer on yt

Step-by-step explanation:

https://youtu.be/dQw4w9WgXcQ

find the equation of a straight line passing through the point (1,2) and making an intercept of 3 on the positive y-axis.​

Answers

Given: the points (1|2) and (0|3) lie on the line.

Question: equation of the line.

Solution:

General equation of a line: y = kx+d,

whereby:

the point (y|x) lies on the line
When x = 0, y = d
The point (0|3) says that d = 3.

So far, the equation is y = kx +3 ……… (1)

Inserting the point (1|2) into (1):

2 = k(1) + 3 => 2–3=k => -1 = k

Putting k into (1):

y = -1x + 3 => y = -x + 3 => y = 3 - x

Answer:

y = 3 - x
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