An 18-pound bag of dog food is $27. What is the constant of proportionality that relates cost in dollars, y, to the number of pounds of dog food, x ?

Answers

Answer 1
Constants of proportionality are involved with direct variation. Direct variation takes the form y = kx where y is the dependent variable; k is the constant of proportionality; and x is the independent variable. The formula for this problem is: 27 = k(18). When you divide both sides by 18, you find that k = 3/2.
Hope this helps

Related Questions

What percent of 50 is 15?
A. 4%
B. 25%
C. 30%
D. 15%

Answers

30% is the answer........

Answer:

Option C 30%

Step-by-step explanation:

let x%of 50 is 15

X/100×50=15

50x/100=15

X/2=15

X=30

So option C. (30%) is correct

A jacket was on sale for 20% off its original price of $60. Now, it is on sale for an additional 10% off its previous sale price. Determine whether each statement is true or false. True False The jacket is now 40% off its original price. The jacket now costs $48.00. The jacket is now 72% of its original price. The jacket now costs $43.20.

Answers

Answer:

Step-by-step explanation:

Step one:

given

original price= $60

discount =20% of 60

discount = 20/100*60

discount = 0.2*60

discount = $12

selling price= 60-12= $48

Added price= 10% off $48

Added price= 10/100 *48

Added price= 0.1 *48

Added price= $4.8

new price= 4.8-48=$43.2

the new price of the jacket is $43.2

1. The jacket is now 40% off its original price

40/100*60=$24-----False

2. The jacket now costs $48.00-----False

3.  The jacket is now 72% of its original price= 72/100*60=$43.2----True

4. The jacket now costs $43.20------True

Ella made a checker board. Each individual square has a side with a length of x + 3. Find the area of the ENTIRE board in terms of x if each side of the board is made up of 6 congruent squares.

Answers

Answer:

Total area of board = 36x² + 324 + 216x

Step-by-step explanation:

Given:

Side of square = x + 3

Total number of square = 6 x 6 = 36

Area of each square = Side x Side

Area of each square = (x + 3)²

Area of each square = x² + 9 + 6x

Total area of board = 36[Area of each square]

Total area of board = 36[x² + 9 + 6x]

Total area of board = 36x² + 324 + 216x

What is an equation of the line with slope 6 and y-intercept -4 in slope-intercept form?

Answers

Answer: y = 6x-4

Step-by-step explanation:

The formula for slope-intercept is y=mx+b so all you have to do is plug in the slope which is m and plug in the y intercept which would be b

Review Pythagorean Theorem
Use the drawing tool to write the Pythagorean theorem
equation

Answers

the pythagorean theorem equation is a^2 (a squared) + b^2 (b squared) = c^2 (c squared)
so a^2+b^2=c^2

Answer:

The Pythagorean theorem is widely used in everyday life. one of them in the carpentry sector. the craftsman ensures that the corners of the building foundation really right angled by using a triangle with a combination of side sizes 60 cm, 80 cm, and 100 cm.

Step-by-step explanation:

How to do the Pythagorean Theorem

KNOW: the height of the triangle is 5 cm and the slope of the triangle is 13

searching for: base of triangle , X

Answer:

X² = a² - b²

X² = 13² - 5²

X² = 169 - 25

X = 144

X. =√144

X =12

that's how to find the result of the Pythagorean Theorem

I hope this helps

Plz don’t take s these points if u don’t know how to do these math I just need help I wanna pull up my grade :(

Answers

Answer:   For The first Picture I think the Surface area is  234in^2

                 For the second picture   72in^2

               For the third picture  102in^2

Step-by-step explanation:

Answer:

234

192

102

Step-by-step explanation:

What percent of the model is shaded? What is the equivalent ratio? What is the equivalent decimal? What is the equivalent fraction?

Answers

Answer:

73 73/100 0.73 73/100

Step-by-step explanation:

hope this helps

73%  of the model is shaded,  146/200 is the equivalent ratio.0.73 is the equivalent decimal and 146/200 is the equivalent fraction

What is Fraction?

A fraction represents a part of a whole.

Given,

A grid model with 100 squares. 73 squares are shaded.

We need to find percent of the model is shaded

As there are 100 grids with 73 shaded.

73%  of the model is shaded

Now let us find equivalent ratio of 73/100

Multiply numerator and denominator 2

73/100×2/2

146/200

146/200 is the equivalent ratio.

73/100=0.73 is the equivalent decimal.

146/200 is the equivalent fraction.

Hence,73%  of the model is shaded,  146/200 is the equivalent ratio.0.73 is the equivalent decimal and 146/200 is the equivalent fraction.

To learn more on Fractions click:

https://brainly.com/question/10354322

#SPJ2

Help with this one question please

Answers

Answer:

x [tex]\leq[/tex] 6

Place a 0 in the center of your line. Mark 6 units to the right and fill in a circle at the number 6. Then draw an arrow starting at the number 6 to the left. This should all be done on the line aka your graph.

Step-by-step explanation:

Expand

2x + 6 [tex]\leq[/tex] 18

Solve for x

2x [tex]\leq[/tex] 12

x [tex]\leq[/tex] 6

Everything is shown below (the answer and step-by-step explanation):

X-X=


write the solution too.​

Answers

Answer:

0

Step-by-step explanation:

X-X

=0

What is the equation of the line that passes through the point (-4,7) and has an undefined slope?

Answers

Answer:

x = -4 or y = 7 or f(x) = 7

Also:

Plz mark brainliest if this helped plz :)

Answer:

x=-4

Step-by-step explanation:

does anyone know what 3.2 ÷ 0 ???

Answers

Answer:

Infinity

Step-by-step explanation:

Look it up, its how it works. 0 can go into 3.2 infinity times.

PLEASE HELP (image attached)

Answers

Answer:

x=y

Step-by-step explanation:

Best of luck for the test♡~

Hope I helped.

X=y hoped this helped

-13/20 - 7/5 = what ​

Answers

Answer:

Step-by-step explanation:

-13/20 - 7/5= -41/20 or -2 1/20 or -2.05

Simplify the expression.

20(p + 2) + 16(-3 - p)

Answers

I think it is p - 42
My work for your question

The cost of setting the type for a pamphlet is $15 and the cost of paper and printing is 25 cents per copy .How much will it cost for 200 copies

Answers

Answer:

$65

Step-by-step explanation:

It has a fee of $15. If each copy is $.25 each and 200 copies are wanted, multiply them together to get 50. Add 50 and 15 to get 65. It cost $65 for 200 copies.

A binomial event has n = 35 trials. The probability of success for each trial is 0.45. Let x be the number of successes of the event during the 35 trials. What are μx and σx? (4 points) a)15.75 and 3.1996 b)15.75 and 2.9432 c)19.25 and 2.9432 d)19.25 and 3.1996 e)30 and 2.9432

Answers

Answer:

b)15.75 and 2.9432

Step-by-step explanation:

The computation of the mean and the standard deviation is shown below:

The mean of a binomial distribution is:

[tex]\mu[/tex] = np

And the standard deviation is

[tex]\sigma[/tex] =  √(npq)

where,

n = 35,

p = 0.45,

and q = 1 - 045 =  0.55

Now mean is

= 35 × 0.45

= 15.75

And, the standard deviation is  

= √(35 × 0.45 × 0.55)

= 2.9432

Hence, the correct option is B.

need to be taught how to do this, thanks​

Answers

Answer:

x = 36.27

Step-by-step explanation:

By using the steps to find sin θ backwards, we can find x, the hypotenuse.

sin θ = [tex]\frac{opposite}{hypotenuse}[/tex] or side [tex]\frac{a}{c}[/tex] (as seen in my example picture).

We already know the value for sin (α), which is 32° because its given. The opposite side (a) is 20 and the hypotenuse side (c) is x which are both also given.

So the equation now looks like:

sin 32° = [tex]\frac{20}{x}[/tex]

Don't solve for the sin 32 yet! First, we have to isolate the variable.

To get rid of the x in the denominator you have to multiply both sides by x:

( sin 32 ) · x = ( [tex]\frac{20}{x}[/tex] ) · x

( sin 32 ) x = 20

Then, you have to divide both sides by sin 32 to get x by itself:

(( sin 32 ) x ) ÷ ( sin 32 ) = 20 ÷ ( sin 32 )

x = 20 ÷ ( sin 32 )

Lastly, you have to use a calculator to find 20 ÷ ( sin 32 ), and it should give you 36.2695543766.

The question asks you to round to 2 decimal places so:

x = 36.27

What is the slope of the line through (-7, -8) and (0,4)

Answers

The slope is, 12/7 just subtract 4-(-8)/0-(-7)

What is the rate of change for -8x-4y=10-2x+6y

Answers

Answer:

X7

Step-by-step explanation:kk

I'm doing fractions and I'm super stumped with this one

Answers

Answer:

1 2/3

Step-by-step explanation:

As a mixed fraction btw

Answer:

1 and 2/3

Step-by-step explanation:

add 1/ 3 plus 4/3

What is the answer to this will give brainliest to fastest and correct answer
Hurry

Answers

Answer:

(0, - 4 )

Step-by-step explanation:

The y- intercept is the value of y where the graph crosses the y- axis

The graph crosses the y- axis at - 7 ← y- intercept (0, - 7) in coordinate form

h = 210 + 33t
H being the height of the tree and T is years since Renata moved in. How tall was the tree when Renata moved in?

Answers

Answer:

it depends on how long she lived there. if she loved there for say 18 years then your question would look like this

Step-by-step explanation:

h = 210 + 33 × 18

18 × 33 = 594

594 + 210 = 804

h = 804

ALGEBRA 2
*need work to be shown *
solve the following equation x^2 + 27=-9

Answers

Step-by-step explanation:

x²=-9-27

x²=-36

there's no x

Answer:

x = ± 6i

Step-by-step explanation:

Given

x² + 27 = - 9 ( subtract 27 from both sides )

x² = - 36 ( negative value indicates the solutions are complex )

Take the square root of both sides

x = ± [tex]\sqrt{-36}[/tex] = ± 6i

Help me you guys
ILYG

Answers

Answer:

7

Step-by-step explanation:

The answer is 7

Answer:

It's 7

Hope this helped!

Jenna collected data on how many CDs her friends owned and how many hours per week they listened to music. Her data is shown in the table.
CDs Owned
15/15/8/18/11
Hours Listened 7 8 5 10 9
Which scatter plot correctly represents this data?
ОА
Ос.
new
CDS Ow
12 16
CDs Owned
Ов.
OD.
CDs Owned
CDs Owned

Answers

Answer:

im pretty sure it would be d

Step-by-step explanation:

Answer:

It is D

Step-by-step explanation:

got it right on the test

Please help! I’ll give brainliest

Describe in words the meaning of each math expression.

f(-7) = 12

Answers

Answer:

Step 1: Simplify both sides of the equation.

−7f=12

Step 2: Divide both sides by -7.

−7f

−7

=

12

−7

f=

−12

7

Step-by-step explanation

sorry for the answer like this i couldnt find the fractions but the answer is f=-12/7 sorry :(

Ericel has $50 to spend for food for a birthday party. The birthday cake will cost $17, and he also wants to buy 4 bags of chips.

Part A: Write an inequality to represent the situation

Part B: Solve the inequality to determine what the highest price Ericel can pay for each bag of chips

Answers

Answer:

17+4x <_ 50

Step-by-step explanation:

To solve the highest price Eric would pay for chips you would want to guess and check to get $8 is the most you can pay for each bag of chips

Can somebody please help me with this math question

Answers

The answer to the question is 5 so CD=5
5 so CD=5 this is your answer

help ASAP plssssssssss

Answers

Answer:

Length of three dimensions of the cube is

6cm.

What is the area of the base of a cube of sides 2.5m?

37.5m²

Which kind of ethical issue is unique to the healthcare industry? financial end-of-life employee-relations safety

Answers

Answer:

b

Step-by-step explanation:

end of life

edge 2020

Answer:

b

Step-by-step explanation:

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