8) The height of a stack of CD cases is Proportional to the number of CD’s in the stack. A stack of 6 CD’s is 66mm high.* Find the unit rate**

a) How high is a stack of 10 CD’s?


b) Write an equation that relates the height (y) of a stack of CD’s and the number of CD cases(x) in the stack.

Answers

Answer 1

Step-by-step explanation:

well, when 6 CD cases are 66 mm high, then 1 CD case is 66/6 = 11 mm high.

a)

therefore, 10 CD cases are 11×10 = 110 mm high.

b)

y = 11x


Related Questions

Find a counterexample for this statement.

A quadrilateral has four congruent sides.

Answers

Answer:

A Rhombus

Step-by-step explanation:

it's a quadrilateral, but its sides aren't congruent

3. The sum of the second term and the ninth term of an arithmetic sequence is -5. The sum of the third and fourth terms of the same sequence is 7. Find the first term of the sequence.

Answers

Answer:

First term of the sequence is [tex]11[/tex]

Step-by-step explanation:

Let [tex]a[/tex] be the first term and [tex]d[/tex] be the common difference

We have

The sum of the second term and the ninth term of an arithmetic sequence is [tex]-5[/tex]

[tex]a+(2-1)d+a+(9-1)d=-5\\\\2a+9d=-5---eqn1[/tex]

The sum of the third and fourth terms of the same sequence is [tex]7[/tex]

[tex]a+(3-1)d+a+(4-1)d=7\\\\2a+5d=7---eqn2[/tex]

eqn 1 - eq2

[tex]4d=-12\\\\d=-3[/tex]

Substituting in eqn 1

[tex]2a+9\times -3=-5\\\\2a=22\\\\a=11[/tex]

First term of the sequence is [tex]11[/tex]

The shape of base of a cubic box is _______

Answers

Answer:

The shape of base of a cubic box is square

Step-by-step explanation:

Here the figure is

Here the base is square

The shape of base of a cubic box is square

Answer:

The base is a square

Step-by-step explanation:

Since this question is very straightforward it is asking us the what it the base or what holds the shape itself. We know that a cube is made up of all squares so we can say the the base is a square.

write y+9=-3x-9 in slope intercept form

Answers

Answer:

y = -3x - 18

Step-by-step explanation:

Subtract 9 from each side

NEED HELP ASAP PLZ HELP

Answers

Answer:

y=0.68x + 0.22

Step-by-step explanation:

HOPE THIS HELPS :)

How do I solve for X

Answers

Answer:

ask crohme it knows the answer

hi i need some help on this one thanks.

Answers

Answer:

y = 3x + 18

Here's how I got that:

- You first assign the points -

     (-9, -9) → x1 = -9, y1 = -9

     (-6, 0) → x2 = -6, y2 = 0

- Now you plug those points into slope formula and solve-

                          [tex]s=\frac{y2-y1}{x2-x1}[/tex]

                                   

                       (0 - (-9))/((-6) - (-9))

                                   ↓

                                  9/3

                                   ↓

                           slope = 3

- Now we plug the numbers we got into intercept formula -

                            b = y1 − s ⋅ x1

                                      ↓

                             -9 - (3) · (-9)

                                      ↓

                           y-intercept = 18

           - Put everything together and you get.. -

                                 y = 3x + 18

~That's all folks~

-Siascon

Answer:

y = 3x + 18

Step-by-step explanation:

plz help its taxes!!! just questions not real lol

Answers

Answer:

pay: 32,000*12 ( since its per month) =384,000

income tax: 384,000*0.45 = 172,800

EI: 384,000*0.0173=6,643.20

CPP: 384,000*0.0495=19,008

Yearly Pay will be 384,000-172,800-6,643.20-19,008= $185,584.80

Weekly pay (paycheck) = 42320.91/52 = $ 3,568.25

Step-by-step explanation:

Solve this equation. Enter your answer in the box. 75 â€"" 3. 5y â€"" 4y = 4y 6.

Answers

Answer:

Solve this equation. Enter your answer in the box. 75 â€"" 3. 5y â€"" 4y = 4y 6.

What is the value of (2/3)2?

Answers

Answer:

2/3(2)

=(2/3)(2/1)

=(2*2)/(3*1)

=4/3

Step-by-step explanation:

Answer:

4/3

Step-by-step explanation:

(2/3)2

(2/3)(2/1)=4/3

PLZ HELP!! I will give points!

Answers

Answer:

a is -2,1        b is -3,3        c is -1,3

Step-by-step explanation:

1. Classify the following polynomials as monomial, binomial trinomial and polynomial:
i) 2x + y

Answers

Answer:

binomial

Step-by-step explanation:

a monomial has 1 term

a binomial has 2 terms

a trinomial has 3 terms

2x + y has 2 terms and so is a binomial

Answer is binomial step-by-step-equation

HELLO EVERYONE


WHAT IS THIS ANSWER??? ANYONE KNOW? i need help on this question. it is kinda confusing but if anyone knows pls txt back to this post. thank you so much and have a good day.​

Answers

Answer: The volume of this cylinder is 2389.18 cubic cm, and the surface area is 1000.6 square cm.

6 divided by 20 write your answer in a decimal form

Answers

Answer:

0.3

Step-by-step explanation:

I just need 20 characters so yeah

Answer:

0.3

Step-by-step explanation:

The radius of a circle is 6 inches. What is the length of a 135-degree arc?

Answers

14.14 inches

Convert 135° into radians. 135*2pi/360=3pi/4.
6*3pi/4=18pi/4=9pi/2=14.14

Another viable method is to do 2pi*6*135/360=14.14

What type of market structure would toothpaste, jeans and laundry

detergent be apart of?

Answers

Answer:

The personal hygiene part of the store (I think)

Step-by-step explanation:

This is an ultimately weird question, so I don't really know. But my answer is what I think, (I don't even know if it exists though).

Monopolistic Competitive Market

Find the area of each figure

Answers

Answer:

54

Step-by-step explanation:

.5*9*12

54
Explanation ~
B•h/2
9•12=108
108/2=54
:)

1. You are setting up a shelf display filled with present
boxes and other decor. Each shelf has a length of 116
inches and a width of 30 inches. If there are 5 shelves,
what is the total area you can use for the decor?
2. Buddy is figuring out how long his snowflake chain
around the whole store needs to be. Use the diagram
below to find the perimeter of the store! Type your
work and solution in the box under the diagram.

Answers

Answer:

1. 17,400 in²

2. ???

Step-by-step explanation:

1. If the the length of each shelf is 116 inches and the width is 30 inches then 1 shelf has 3480 in² of space. Since that's for 1 shelf and we have 5 shelves you multiply 3480 by 5 to get 17400.

2. You didn't give any diagram so I can't really help here but just add up all the side of the shape it gave you. You'll probably have to do some math to find missing sides.

64 divided by 1184 worked out

Answers

Answer: 18.5

Step-by-step explanation:  1184/64= 18.5

Construct a quadrilateral RISK in which RI= 4.5 cm, IS=5.6 cm, SK=6 cm, RK=3.5 cm and RS=7.2 cm. Measure the diagonal KI.

Answers

The measure of the diagonal KI is approximately 6.465 centimeters.

The diagonals of the quadrilateral RISK are represented by line segments RS and KI, both measured in centimeters. There are two triangles forming the quadrilateral: [tex]\triangle RIS[/tex], [tex]\triangle RKS[/tex]

By Law of Sine and Law of Cosine we determine the measures of all internal angles:

Triangle RIS

[tex]RS^{2} = RI^{2}+IS^{2}-2\cdot RI\cdot IS \cdot \cos I[/tex] (1)

[tex]\frac{RS}{\sin I} = \frac{RI}{\sin S'} = \frac{IS}{\sin R'}[/tex] (2)

Triangle RKS

[tex]RS^{2} = RK^{2} + KS^{2}-2\cdot RK\cdot KS\cdot \cos K[/tex] (3)

[tex]\frac{RS}{\sin K} = \frac{RK}{\sin S''} = \frac{KS}{\sin R''}[/tex] (4)

[tex]S = S' + S''[/tex] (5)

[tex]R = R' + R''[/tex] (6)

By (1) and (3) we find the values of angles I and K:

[tex]I = \cos^{-1}\left(\frac{RI^{2}+IS^{2}-RS^{2}}{2\cdot RI\cdot IS} \right)[/tex]

[tex]I \approx 90.261^{\circ}[/tex]

[tex]K = \cos^{-1}\left(\frac{RK^{2}+KS^{2}-RS^{2}}{2\cdot RK\cdot KS} \right)[/tex]

[tex]K\approx 94.903^{\circ}[/tex]

By (2) and (4) we find the remaining angles for each triangle:

[tex]S' = \sin^{-1}\left[\left(\frac{RI}{RS} \right)\cdot \sin I\right][/tex]

[tex]S' \approx 38.682^{\circ}[/tex]

[tex]R' = \sin^{-1}\left[\left(\frac{IS}{RS} \right)\cdot \sin I\right][/tex]

[tex]R' \approx 51.057^{\circ}[/tex]

[tex]S'' = \sin^{-1}\left[\left(\frac{RK}{RS} \right)\cdot \sin K\right][/tex]

[tex]S'' \approx 28.969^{\circ}[/tex]

[tex]R'' = \sin^{-1}\left[\left(\frac{KS}{RS} \right)\cdot \sin K\right][/tex]

[tex]R'' \approx 56.128^{\circ}[/tex]

Then, we have the values of angles R and S by (5) and (6):

[tex]S \approx 67.651^{\circ}[/tex], [tex]R \approx 107.185^{\circ}[/tex]

The measure of the diagonal KI is found by the Law of Cosine:

[tex]KI = \sqrt{IS^{2}+SK^{2}-2\cdot IS\cdot SK\cdot \cos S}[/tex]

[tex]KI \approx 6.465\,cm[/tex]

The measure of the diagonal KI is approximately 6.465 centimeters.

To learn more on quadrilaterals, we kindly invite to check this verified question: https://brainly.com/question/6321910

Your deposit $1000 in an account that earns 2.5% annual interest. Find the balance after 2 years if the interest compounds with the given frequency.



Answers

Answer:

34%

Step-by-step explanation:

3+3+3+3+3+3+3+35%

A coin weighs 8/15 ounces. A different coin weighs 4/15 ounces.
How much do the two coins weigh together?

Answers

12/15 ounces

this is because 8/15 + 4/15 = 12/15

hope this is helpful!

8/15+ 4/15 = 12/15 or 4/5

Bus route A arrives at its stop every 15 minutes. Bus route B arrives at its stop across the street every 30 minutes. If both buses are currently arriving at their stops, how many hours will pass before both buses arrive at the same time?

Answers

Answer:

2 stops, 30 min

Step-by-step explanation:

to figure this out we have to divide B's time by A's time. 30÷15 is 2.

Jim has 44 nickels and dimes totaling $2.95. How many nickels does he have?

Answers

29 Nickels

15 Dimes

Hope this is helpful!


The sum of the digits of a two-digit number is 12. If the number is multiplied by 3, the result is 144. Write
and solve a system of equations. Find the number.

Answers

Answer 48

Step-by-step explanation:

The two-digit number that satisfies the given condition will be 48.

What are digits?

In a positional numeral system, a numerical digit is a single sign that can be used singly or in combination to represent numbers.

For example 0, 1, 2, 3, 4, 5, 6, 7, 8, 9 are digits.

Suppose the two-digit number is xy.

Sum x + y = 12

By multiplying by 3,

3(10x + y) = 144

10x + y = 48

Put y = 12 - x

10x + 12 - x = 48

9x = 36

x = 4

And, y = 12 - 4 = 8 so the number will be 48.

Hence "The two-digit number that satisfies the given condition will be 48".

To learn more about digits,

https://brainly.com/question/10913044

#SPJ2

Identify the diameter of the circle

Answers

The answer is O. The diameter of a circle is basically the length of one side to another. The radius is half of the diameter. I hope this helps :) have a good day/night!

Find the discriminant and describe the nature of the root(s) of the equation: 6x2 - 2x - 4 = 0)

Answers

Answer:

discriminant= 100, nature of the root= real numbers.

Step-by-step explanation:

discriminant formula: b^2-4ac

-2^2-4(6)(-4)

4+96=100.

A farmer has 160 bushels of apple to sell at his roadside stand. He sells an average of
15 3/4 each day. Represent the total change in the number of bushels he has for sale after 5 days.

Answers

Answer:

15 3/4 = (15*4 + 3)/4 = 63/4

5*(63/4) = 78.74 OR 78 3/4

The  change in the total number of bushels is 78 3/4 bushels.

John has decided to get in shape for the new year. He is planning to joining the local fitness club. The fitness club charges customers a $14.95 monthly fee plus a one time joining fee $110.00.

What is the total cost John will pay for a 12-month membership at the fitness club?

Answers

110+(14.95 x 12)= $289.40

-
If AACB = ADCE, ZCAB = 50°,
ZDCE = 45°, and ZCDE = 10x
=
D
E
с
x = [?]

Please help

Answers

Answer:

∠BAC=70°

Step-by-step explanation:

If AB || CD and BC II DE that means the two triangles are congruent or the same, this means ∠BAC°=∠DCE°, ∠ABC°=∠EDC°, and ∠BCA°=∠DEC°. The three angles of a triagle add up to 180°. If ∠DEC=45° and ∠EDC=65°

Total°-(∠DEZ°+∠EDC°)=∠DCE° or ∠ECD°

180°-(65°+45°)=70°

∠BAC°=∠DCE°

Therefore ∠BAC=70°

Other Questions
PLS HELP (science)Match the following molecules with the number of atoms they contain.1. 2Fe seven 2. 2Al 3O 2 eight 3. 4O 2 two 4. 5C five 5. H 2SO 4 ten A line passes through the points (-4,1) and (-3,3). This line can be modeled by the equation yComplete the table to determine the values of m and b. [tex]\begin{gathered}\begin{gathered} \small \colorbox{grey}{\color{lightgreen}{\sf \,\:\,Verified \, Answer}[/tex] josh has 20 apples john has 20 how many do they have all together Minister Francis Bellamy is MOST important for In a physical change, the makeup of matter is changed.True or false? PLEASE HELP WILL MARK BRAINIEST!!!!!! Alana deposited $20 in a savings account earning 5% interest, compounded annually.To the nearest cent, how much will she have in 2 years?Submit What impact do you think Jim Crow laws had on American society and African Americans help me plsssssssssssssssssssssssssss What important element of Benjamin Franklin's character does this passage from his autobiography reveal?There was a salt-marsh that bounded part of the mill-pond, on the edge of which, at high water, we used to stand to fish for minnows. By much trampling, we had made it a mere quagmire. My proposal was to build a wharf there fit for us to stand upon, and I showed my comrades a large heap of stones, which were intended for a new house near the marsh, and which would very well suit our purpose.a-his shynessb-his ingenuityc-his sentimentalityd-his dishonesty Which leadership style is most useful when time is abundant, quality output is essential, and enthusiasm and motivation from the employees needs to be generated Complete the pairs of corresponding parts if RST=TXY below is an attempt at implementing a circle class. the class should feature a constructor that takes a starting radius, a float, and methods to calculate and return the area and circumference of the shape. can you fix the code below to implement these behaviors correctly? what is social security? who was often called the father of modern mathematics because he created analytic geometry and the cartesian coordinate system? Versailles treaty Please help (30points) PLS HELP ME WITH THIS GEOMETRY QUESTION :000 Find the product. Simplify your answer. (m4)(2m+2) PLEASE HELP ME WITH THIS I WILL MARK BRAIINLIST!!