Does the table represent a proportional relationship? Show your work!

Answer:

30 cents

Step-by-step explanation:

If you divide 1.50 by 5 you get .30 and if you divide 2.40 by 8 you also get .30 keep smiling, have a good day

The constant of proportionality that relates to the cost per can is $0.3.

A unitary method is a mathematical way of obtaining the value of a single unit and then deriving any no. of given units by multiplying it with the single unit.

Given, At a grocery store, Mary bought five cans of corn and paid $1.50.

Therefore, The cost of each can is,

= $(1.50/5).

= $0.3.

And,  Larry bought 8 cans of corn and paid $2.40.

Therefore, The cost of each can is,

= $(2.40/8).

= $0.3.

So, The constant of proportionality is $0.3.

learn more about the unitary method here :

https://brainly.com/question/28276953

#SPJ2

Answer:

A solution to an equation is a value of a variable that makes the equation true. From the statement "Which value of x satisfies the equation", we need to understand that, we have to find the value of x from the given question.

Let us see some example problems based on the above concept.

Example 1 :

Which value of x is the solution of the equation

(2/3) x + (1/2) = (5/6) ?

Solution :

(2/3) x + (1/2)  =  (5/6)

(2x/3)  + (1/2)  =  (5/6)

(4x + 3)/6  =  (5/6)

Multiply 6 on both sides

4x + 3  =  5

Subtract 3 on both sides

4x + 3 - 3  =  5 - 3

4x =  2

Divide by 4 on both sides

4x/4  =  2/4

x  =  1/2

Hence the value 1/2 will satisfy the above equation.

Example 2 :

Which value of x is the solution of the equation

(2/3) x + (x/6) = 5 ?

Solution :

(2x/3) + (x/6) = 5

(4x/6) + (x/6) = 5

(4x + x)/6  =  5

5x/6  =  5

Multiply by 6 on both sides

5x  =  5 (6)

5x  =  30

Divide by 5 on both sides

x  =  30/5  =  6

Hence the value 6 will satisfy the above equation.

Example 3 :

The number of people on the school board is represented by x. Two subcommittees with an equal number of members are formed, one with (2x/3) − 5 members and the other with x/4 members. How many people are on the school board?

Solution :

From the above question, we come to know that we have to solve for x, that makes the statement true.

(2x/3) − 5  =  x/4

(2x - 15)/3  =  x/4

Multiply 3 on both sides

2x - 15  =  3x/4

Multiply by 4 on both sides

4(2x - 15)  =  3x

8x - 60   =  3x

Subtract 3x on both sides

8x - 3x  -  60  =  0

5x - 60  =  0

Add by 60 on both sides

5x - 60 + 60  =  0  + 60

5x  =  60

Divide by 5 on both sides

x  = 60/5

x  =  12

Example 4 :

What is the value of x in the equation

(x − 2)/3 + 1/6 = 5/6 ?

Solution :

(x − 2)/3 + 1/6 = 5/6

(2(x - 2) + 1)/6  =  5/6

multiply by 6 on both sides

(2x - 4 + 1)  =  5

2x - 3  =  5

Add 3 on both sides

2x - 3 + 3  =  5 + 3

2x  =  8

Divide by 2 on both sides

x  = 8/2

x  =  4

Step-by-step explanation:

Answer:

200

Step-by-step explanation:

Just took the test on edge.

Answer:

6

Step-by-step explanation:

hope this helps, have a good day

Answer:

6f

Step-by-step explanation:

Combining like terms is easy. Just think it like this: 4+3-1, and add the f on later. That is 6, and add the f on and you get 6f. It's like adding variables.

Hope this helps plz mark brainliest if correct :D

Answer:

408square feet is total surface area of given figure

Step-by-step explanation:

area of two triangle=120square feet

area of 2 outer rectangle=208square feet

area of inner rectangle =80square feet

sum of all shape=120+208+80=408square feet

Answer:

A) X=pi/2 or X=-pi/2

B) X=pi/6 or X=-pi/6

C) X=pi/4 , 3pi/4, 5pi/4 and 7pi/4

D) X= 1-cos^2(x/2)

E) X= pi/3 +2pi N, 5pi/3+2pi N

Step-by-step explanation:

Don't even bother asking. :)

Answer:

x < - 4

Step-by-step explanation:

-5x + 12 > 32

      - 12 > - 12

-5x > 20

-5x/-5 < 20/-5

x < - 4

Answer:

cookie

Step-by-step explanation:

Answer:

[tex]\dfrac{1}{2}[/tex]

Step-by-step explanation:

Given that, spinner has 12 equal areas, so there are 12 possibilities of occurrences i.e. {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12}

Multiples of 3 are: {3, 6, 9, 12}

Multiples of 4 are: {4, 8, 12}

To find the multiple of 3 or 4, we need to find the union of the above two sets.

Multiples of 3 or 4: {3, 4, 6, 8, 9, 12}

Number of multiples of 3 or 4 = 6

Formula for probability of an event E can be observed as:

[tex]P(E) = \dfrac{\text{Number of favorable cases}}{\text {Total number of cases}}[/tex]

Here, number of favorable cases are 6 and

Total number of cases are 12.

Therefore the required probability is:

[tex]P(\text{Multiple of 3 or 4}) = \dfrac{6}{12}\\P(\text{Multiple of 3 or 4}) = \bold{\dfrac{1}{2}}[/tex]

Answer:

C

Step-by-step explanation:

I got it right

Answer:

0.6

Step-by-step explanation:

To find the answer, do 0.018 divided by 0.03 which equals 0.6

Hope this helps you!!  :)

n= 0.6

Answer:n=0.6

Step-by-step explanation: you divide 0.03 on both sides which gives you the answer to n

Answer:

199x48 = 9552

24000-9552=14448

14448 x- 6% = 866.88

14448+866.88= 15314.88

The overall payment is 24000+6%

Step-by-step explanation:

The total cost of the vehicle is  $29760

The % at which a loan is given or the % at which your investment will give return is the Interest Rate.

It is given that

Walter purchased a 2010 model sedan for $24,000.

The dealership offered him a $199/month payment plan for 48 months,

Principal = $24000

Rate = 6%

Time =48 months = 4 years

The Simple interest =

24000 * 6 * 4 / 100

Interest = $5760

The payment done in 48 moths is

199 * 48 = $9552

The balloon payment due at the end of 48 months is 24000 + 5760 - 9552 = $20208

The total cost of the vehicle is $ 24000+ 5760 = $29760.

To know more about Interest Rate

https://brainly.com/question/13324776

#SPJ2

Answer:

14 kilometers

Step-by-step explanation:

Answer:

14

Step-by-step explanation:

35÷2.5=14

have a goodnight

Answer:

b

Step-by-step explanation:

only one that makes sense lol. a is only losing half 10-5= 5. c is spending $8 twicce so it goes to -$16. d earns 10 points

Answer:

A. 18.99

Step-by-step explanation:

Times 75.95 by .25 and you get the amount taken off

Answer:

f=1/18x+1/4 x=-9/2+18f

Answer:

y = 1/5x

Step-by-step explanation:

Here, we have a direct relationship between the distance from lightning and the time it takes to hear thunder

Let the distance from lightning be y and the time it takes to hear thunder be x

If k is the proportionality constant, then;

y = kx

Now, let’s calculate k , given x 10 seconds and y = 2 miles

2 = 10k

k = 2/10 = 1/5

So the equation for the given situation is;

y = 1/5x

Answer:

13x+4

Step-by-step explanation:

Answer:

$250

Step-by-step explanation:

I just looked up the question and saw the exact same one so.

Answer:

C

Step-by-step explanation:

The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.

10x + 2 is an exterior angle of the triangle, thus

10x + 2 = 8 + 6x + 34 = 42 + 6x ( subtract 6x from both sides )

4x + 2 = 42 ( subtract 2 from both sides )

4x = 40 ( divide both sides by 4 )

x = 10

Thus

∠ S = 8 + 6x = 8 + 6(10) = 8 + 60 = 68° → C

Answer:

the correct answer would be 13.5