The height of a stack of DVD cases is in a proportional relationship to the number of cases in the stack. A stack of 8 cases and its height are shown. Find the constant of proportionality. Then use the constant of proportionality to find the height of a stack of 13 cases.

Answers

Answer 1

Answer:

a. The equation is y = 19 x

b. The height of 13 DVD cases is 247 mm

Step-by-step explanation:

- A proportional relationship is about two quantities vary directly with

each other

- Ex: If y proportion to x, then y is varies directly with x

 That means y ∝ x ⇒ y = k x, where k is the constant of variation

- The height of a stack of DVD case is proportional to the number of

 case in the stack

- That means the height of DVD cases varies with the number of cases

- The height of 6 DVD case is 114 mm

a.

∵ The number of cases = x

∵ The height of the cases = y

∴ y ∝ x

∴ y = k x

- To find k lets use the first information above

∵ y = 114 mm when x = 6

- Substitute these values in the equation above to find k

∵ 114 = 6 k

- Divide both sides by 6

∴ k = 19

- Substitute the value of k in the equation above

∴ y = 19 x

* The equation is y = 19 x

b.

- We need to find the height of 13 DVD cases

∵ y = 19 x

∵ x = 13

- Substitute the value of x in the equation

∴ y = 19 × 13

∴ y = 247 mm

* The height of 13 DVD cases is 247 mm

Answer 2

The height will be 143 mm for a stack of 13 DVD cases.

What is the constant of proportionality?

The constant of proportionality is the constant value of the ratio of two proportional values. A proportionality relation exists between two changing quantities when either their ratio or product gives a constant.

The overall height of the 8 cases stacked on top of each other is 88 mm.

Because you need to know the height of each individual DVD case, divide the height (88 mm) by the number of DVD cases (8):

⇒ 88/ 8 = 13

⇒ 88 ÷ 8 = 13

Then it asks for the height of a stack of 13 cases, so multiply the 11 (the height of each DVD case) by 13:

11 × 13= 143

Therefore, 13 DVD cases stacked on top of each other have a height of 143 mm.

To learn more about the constant of proportionality here:

https://brainly.com/question/17302514

#SPJ2

The question seems to be incomplete the correct question would be:

The height of a stack of DVD cases is in proportional relationship to the number of cases in the stack. A stack of 8 cases and its height is shown. Find the constant of proportionality. Then use the constant of proportionality to find the height of a stack of 13 cases.

The height of the 8 cases stacked on top of each other is 88 mm.

The Height Of A Stack Of DVD Cases Is In A Proportional Relationship To The Number Of Cases In The Stack.

Related Questions

what is 25 2/3 - 15 1/3 =

Answers

Answer:

10 1/3

Step-by-step explanation:

Convert mixed numbers into improper fractions (whole number × denominator + numerator)

25 2/3 and 15 1/3

25 × 3 + 2 = 75 + 2 = 77

Put the number over the same denominator

77/3

15 × 3 + 1 = 45 + 1 = 46

Put the number over the same denominator

46/3

77/3 - 46/3

They have common denominators so we can simply subtract the numerator values

77 - 46/3

31/3

To convert it back to a whole number, find how many times 3 fits into 31 evenly

It fits 10 times evenly with 1 remainding which looks like:

10 1/3

What is the degree of rotational symmetry for the following figure?

Answers

Answer with step-by-step explanation:

For a figure or object that has rotational symmetry, the angle of turning during rotation is called the angle of rotation. Example: when a square is rotated by 90 degrees, it appears the same after rotation. So, the angle of rotation for a square is 90 degrees.

look at the picture.

Answers

Answer:

66

Step-by-step explanation:

66 square root is 8.12403840464

Answer:

i got 66

Step-by-step explanation:

REEEEEEEEEEEEEEEEE

The Hu Family goes out for lunch, and the price of the meal is $53. The sales tax on the meal is 7%, and the family also leaves a 15% tip on the pre-tax amount. What is the total cost of the meal?

PLEASE HELP I WILL MARK BRAINLIEST

Answers

Answer:

i think its 64.66

Step-by-step explanation:

07x53=3.71

0.15x53=7.95+53=60.95+3.71=64.66

Answer:

$64.66

Step-by-step explanation:

find the amount of tax 53 x .07 = 3.71

find the amount of the tip 53 x .15 = 7.95

53 + 3.71 + 7.95 = 64.66

1. Write an equation for two numbers that are 3 units away from 0?

Answers

Answer:

|3| and |-3|

Step-by-step explanation:

Answer:

IxI=3

Step-by-step explanation:

2 step equations: solve the equation below:
m/5+9=11

Answers

Answer:

m=10

Step-by-step explanation:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

                    m/5+9-(11)=0

                 m

Simplify   —

                 5

  m          

 (— +  9) -  11  = 0  

   5

Adding a whole to a fraction

Rewrite the whole as a fraction using  5  as the denominator :

           9        9 • 5

   9 =  —  =  —————

            1           5  

Equivalent fraction : The fraction thus generated looks different but has the same value as the whole

Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator

Adding up the two equivalent fractions

Add the two equivalent fractions which now have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

m + 9 • 5                       m + 45

—————————  =  ——————

    5                                       5  

     (m + 45)    

 ———————— -  11  = 0  

          5

Subtracting a whole from a fraction

Rewrite the whole as a fraction using  5  as the denominator :

             11          11 • 5

   11 =  ——  =  ——————

             1               5  

Adding up the two equivalent fractions

    (m+45) - (11 • 5)                                  m - 10

—————————————————  =  ——————

            5                                                          5  

    m - 10

 ——————  = 0  

        5

When a fraction equals zero ...

Where a fraction equals zero, its numerator, the part which is above the fraction line, must equal zero.

Now,to get rid of the denominator, Tiger multiplys both sides of the equation by the denominator.

Here's how:

   m-10

 ———— • 5 = 0 • 5

      5  

Now, on the left hand side, the  5  cancels out the denominator, while, on the right hand side, zero times anything is still zero.

The equation now takes the shape :

  m-10  = 0

Solve  :    m-10 = 0  

Add  10  to both sides of the equation :  

                     m = 10

m = 10

Which of the following is irrational?
2
v1.44
1

Answers

Answer:

B

Step-by-step explanation:

B

-3
-2
- 1
2.
3
4
-2
-3
-4
-5
The equation of the line in this graph is y =

Answers

Answer:

please ask proper question or repost it

Which of the following lines is perpendicular to the equation given below?

y = -2x + 8


2x + y = 4
2x + y = 4

x - 2y = 6
x - 2y = 6

2x - y = 1
2x - y = 1

x + 2y = 8

Answers

the anser is

x- 2 y =6

x- 2 y =6

thats iit

5 1/10 divided by 1 1/5

Answers

4.25 is the correct answer

Answer:

4.25

Step-by-step explanation:

The measure of angle MBT ?

Answers

Answer:

Oooo I’m doing a question just like that one on my hw

Step-by-step explanation:

The book store manager keeps a chart of the number of books sold each week. How

many books were sold all together in weeks 2 and 4?

Book Store Sales

Week

Number of Books

1

2

3

4

1.412

1,531

2,050

1,785

Answers

Answer:

3315

Step-by-step explanation:

Given the data:

WEEK ________1 _____2______3______4

no of books __1412___1531 ___2050 ___1785

Number of books sold in weeks 2 and week 4

Books sold in week 2 = 1531

Books sold on week 4 = 1785

(1531 + 1784) = 3315

Eight less than a number s is three more than four times a number t. Solve for s.

Answers

Answer:

S= 11+4t

Step-by-step explanation:

Answer:

S= 11+4t .      

hope I'm write not sure

Step-by-step explanation:

Question 13
Find the value of x.

Answers

We need some more numbers to answer this.

PLEASE HELP!
Elsa Is taking physical fitness tests in her strength training class. Each day, her results are compared to her resutts from previous days. The first day she completes a test is considered the baseline, and Is represented by 0. For instance, on the first day she did the flexibility test, her result was calculated as 0. On the second day, in comparison to her first day's result, she was able to reach 1 1/16 inches less than the first day, which was recorded as -1 1/16. Then, on the third day, Elsa recorded a result of -5/8.

A. On which day did Elsa reach farther: the second or third day?

B. By how much?​

Answers

Answer:

A) The second day

B) 9/16 inches

A) Elsa reached farther on the second day because -1/16 > -5/8

B) To calculate this we must first put both fractions above the same denominator. We can then subtract the smaller one from the bigger one:

-1/16 - (-10/16) = 9/16

Elsa reached 9/16 inches farther on the second day then she did on the first.

Hope this helps and have a great day!

Also stay safe! :))))

A garden is 6 yards 24 inches wide and 5 yards long.
The ratio in simplest form is ??

Answers

4 : 3 ratio
Break it down to inches and simplify

PLEASE HELP!! ASAP 10 POINTS

Simplify negative 9/6 divided by 3 over negative 2.

a.3 b.1 c.−1 d.−3

Answers

Answer:

(b)

Step-by-step explanation:

(-9/6) / (-3/2)

keep the first fraction, change division to multiplication, then flip the second fraction

-9/6 x 2/-3

multiply the numerators by  each other and do the same with the denominators

-9x2 / 6x-3

-18 / -18

simplify

answer = 1 (negative divided by negative will always equal a positive)

Answer:

b or 1

Step-by-step explanation:

took the test

What is the quotient of 3/4 ÷ 1/5​

Answers

Answer:

3 3/4

Step-by-step explanation:

Answer:

Three and three fourths or 15/4

Step-by-step explanation:

[SREENSHOT ATTACHED]

Please helpp! :((

Each set of directions describes how to plot a point starting at the origin. Drag each set of directions to show what point would be plotted.

Answers

1. right 1, down 4 (down 4, right 1)
2. right 4, down 1 (down 1, right 4)
3. left 1, up 4
keep in mind that the x axis is the horizontal axis (the further right you go the larger the number) and that the y axis is the vertical axis (the further up you go the larger the number)! hope this helped you out!


Part 6
If you drew a line segment from the point when Kiley reached the walting area to the point when the plane took off, at which
point would the line segment end?

Answers

Answer:14,26.

Step-by-step explanation:

That's good hope this helps

2x + 7y = 3
x = 1 - 4y

Answers

Answer:

(5,-1)

Step-by-step explanation:

Since one of the equations gives x in terms of y , ie x = 1 - 4y

Then this can be substituted directly into the other equation.

→ 2(1 - 4y) + 7y = 3 → 2 - 8y + 7y = 3 → -y = 1 → y = -1

now, substitute y = -1 into x = 1 - 4y , to obtain x

→ x = 1 - 4(-1) = 1 + 4 = 5

Thus solution is (5 , -1 )

4x 32 – 3 +5 x 2 = 0
A. 33
B. 43
c. 36
D. 58
E 34

Answers

Answer:

I think it is C

Step-by-step explanation:

PLEASE HURRY A triangle and two of its side lengths are shown in the diagram. Which measurement is closest to the value of x in feet? The diagram show a triangle that has 3.7ft on the left side, 14.3 ft on the right/slanted side, and x at the bottom PLEASE HELP ME

Answers

Answer:

[tex] x = 13.8 ft [/tex]

Step-by-step explanation:

Since it's a right triangle, apply pythagorean theorem.

The formula is given as a² + b² = c²

Where,

a = 3.7 ft

c = 14.3 ft

b = x

Plug in the values into the formula:

[tex] 3.7^2 + x^2 = 14.3^2 [/tex]

[tex] 13.69 + x^2 = 204.49 [/tex]

Subtract 13.68 from both sides

[tex] x^2 = 204.49 - 13.69 [/tex]

[tex] x^2 = 190.8 [/tex]

[tex] \sqrt{x^2} = \sqrt{190.8} [/tex]

[tex] x = 13.8 [/tex] (nearest tenth)

What is equivalent to 5x+3

Answers

Answer : 5x+3

There are no like terms

PLEASE GIVE ME AS BRAINLIEST

F(x)= 2x^2-3x-9 G(x)= 4x^2-9 find (f/g) (x)

Answers

This is about division of polynomials.

(f/g)(x) = (x + 1)/(2x + 3)

(f/g) (x) simply means we divide f(x) by g(x)

We are given;

f(x) = 2x² - 3x - 9

g(x) = 4x² - 9

To divide this, let's simplify each function to its factors using the sun-product pattern.

f(x) = 2x² - 3x + 6x - 9

Let's collect like terms;

f(x) = x(2x - 3) + 1(2x - 3)

Rewriting in factored form gives;

f(x) = (x + 1)(2x - 3)

Similarly;

g(x) = 4x² - 9

g(x) = 4x² + 6x - 6x - 9

g(x) = 2x(2x + 3) - 3(2x + 3)

Rewriting in factored form gives;

g(x) = (2x + 3)(2x - 3)

Thus;

(f/g)(x) = ((x + 1)(2x - 3))/((2x + 3)(2x - 3))

(f/g)(x) = (x + 1)/(2x + 3)

Read more at;

brainly.in/question/37643694

1. How much interest is earned on $4,965 at 7% compounded monthly for 18 years?

Answers

$6255.9

I did :
(4965/7)•18 to get it
If it’s wrong I am so sorry

Two adults and 9 students cost $50 to attend
the game. If one adult and 8 students cost
$39 how much do adult and student tickets
cost?

Answers

Answer:

The cost of tickets for a play is $3.00 for adults and $2.00 for children. 350 tickets were sold and $950 was collected. How many tickets of each type were sold?

Let x = number of $3 tickets

Let y = number of $2 tickets

Total = quantity × value

Step-by-step explanation:

x + y = 350                    (equation 1)

3x + 2y = 950                 (equation 2)

Use Substitution Method

Isolate variable x in equation 1

x = 350 – y                     (equation 3)

Substitute equation 3 into equation 2

3(350 – y) + 2y = 950

1050 – 3y + 2y = 950

3y – 2y = 1050 – 950

y = 100

Substitute y = 100 into equation 1

x + 100 = 350

x = 250

Answer: 250 $3 tickets and 100 $2 tickets were sold.

find the perimeter of an equilateral triangle with side 8 ​

Answers

Answer:

perimeter is equal to 24.

Which number goes in the
space (?) to make the two
fractions equivalent
3/8 = 15/?

Answers

Answer:

40   mark Brainliest please

Step-by-step explanation:

15/40

Let the missing number be x .

Then :-

[tex] \frac{3}{8} = \frac{15}{x} [/tex]

[tex] 3 \times x = 8 \times 15[/tex]

[tex]3x = 120[/tex]

[tex]x = \frac{120}{3} [/tex]

[tex]x = 40[/tex]

The missing number is 40 .

Let us check it by doing cross multiplication :-

[tex]3 \times 40 = 15 \times 8[/tex]

[tex]120 = 120[/tex]

Hence proved the missing number is 40 .

[tex]therefore \: , \frac{3}{8} = \frac{15}{40} [/tex]

The distance from Salvador's job to
his house is 3 times greater than the distance
from his house to school. If his house is between
his job and school and the distance from his job
to school is 6 miles, how far is it from Salvador's
house to school?

Answers

Answer:

54

Step-by-step explanation:

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