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

a) How high is a stack of 10 CDs?


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

please help I will mark your answer as brainliest

I am doing fine thanks bro.

Answer:

a. f(12) = - 1

b. x = 27 when f(x) = 4

Step-by-step explanation:

We are given that [tex]f(x)=\frac{1}{3} x-5[/tex] and we want to find f(12) and f(x) = 4

To find f(12) we simply plug in 12 into x and evaluate it

[tex]f(x)=\frac{1}{3} x-5[/tex]

plug in 12

[tex]f(12)=\frac{1}{3} (12)-5[/tex]

multiply 12 and 1/3 to get 4

[tex]f(12)=4-5[/tex]

subtract 5 from 4 to get -1

[tex]f(12)=-1[/tex]

Now we want to find the value of x when f(x) = 4

To do this we substitute 4 for f(x) and solve for x

[tex]f(x)=\frac{1}{3} x-5[/tex]

substitute 4 for f(x) and solve for x

[tex]4=\frac{1}{3}x -5[/tex]

add 5 to both sides

[tex]9=\frac{1}{3} x[/tex]

multiply both sides by 3

27 = x

And we are done.

So f(12) = -1 and x = 27 when f(x) = 4

For a plug in 12 for x:

f(12) = 1/3(12)-5

f(12) = 4-5

f(12) = -1

For b plug in 4 for x:

f(4) = 1/3(4)-5

f(4) = 4/3 -5

f(4) = 0.75-5

f(4)= -4.25

Answer:

R - (-6,10)

Flip the x-value when reflecting over y axis, and flip y-value when reflecting over x-axis

Answer:

Figure a) 2

Figure B) 4

Figure c) 5

Step-by-step explanation:

Answer: A: has 1 line B has 2 and 3 has 5

Step-by-step explanation:

Answer:

32

Step-by-step explanation:

x=6

and it's x+x+(x+4)+(x+4)

Answer:

80cm

Step-by-step explanation:

Lets have height be x

Then the length would be x+4

So the area would be x*x+4=60

Solve: 2x+4=60, 2x=36, x=18

The height is 18 so the length is 22

The perimeter=18*2+22*2

Result: 80cm

Answer:

0.1 percent

Step-by-step explanation:

Answer:

5/2

Step-by-step explanation:

To find a slope you use rise over run.

The graph shows that you rise 5 for every 2 right.

Answer:

1

Step-by-step explanation:

Answer:

The answer would be -12, I'm not to sure what simplify means

Answer:200$

Step-by-step explanation:

Answer:

Step-by-step explanation:

The length of the road is 7 * 5280 = 36960 feet

The grade is 6% which means that for every 100 feet horizontally, the road rises 6 feet.

6/100 * 36960 = 221760/100 = 2217.6 is the rise.

Answer:

Step-by-step explanation:

The answer would be -19

Hope you could get an idea from here.

Doubt clarification - use comment section.

Answer:

The solution is in the photo

Answer:

36

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

Answer:

7/3t-2(10/3t-3)

Step-by-step explanation:

7*1/3t=7/3t

-(10*2/3t-60)=-2(10/3t-3)

=7/3t-2(10/3t-3)

Answer:

B and C

Step-by-step explanation:

look at comments

Answer:

hi the answer should be C or 8

Step-by-step explanation:

Hope this helps!

Answer:

8

Step-by-step explanation:

The average rate of change is given by

f(x2) -f(x1)

---------------

x2-x1

x2 = -3  and x1 = -5

Looking at the graph

f(x2) = f(-3) = 1

f(x1)= f(-5) =-15

Substituting these values into the equation

1 - (-15)

---------------

-3 - (-5)

1+15

----------

-3 +5

16

----

2

8

Step-by-step explanation:

I think you mean you want to find out 40% of a number,, when 60% of it is 180, so I'll answer that:

60% = 180

÷6

10% = 30

x4

40% = 120

(if you want to find 100%, multiply 30 by 10)

Hopefully this helps :)

Answer:

Step-by-step explanation:

1. HI // KL , J is midpoint of  HL     1. Given

2. ∠IHJ ≅ ∠JLK                             2. Alternate interior angles are congruent

3. ∠IJH ≅ ∠KJL                              3. Vertically opposite angles

4. HJ ≅   JL                                     4. Given

5. ΔHIJ ≅ ΔLKJ                              5.  A S A congruent

                                                             (Angle Side Angle)

Answer:

y=3x +4

Step-by-step explanation:

your y intercept is 4, go 3 down 1 across and that is the slope.

Answer:

4x+9y-27=0

compare and fill em

hope it helps

Answer:

2

Step-by-step explanation:

y=1y

x=1x

so the answer will be 2.

may be

hope to help!!!

Answer: less than s less than -2.5

Step-by-step explanation:

Answer:

-2.75 < -2.5

-2.75 is less than -2.5

Step-by-step explanation:

If we were to plot these numbers on a number line, it would look like the this:

<--- (-3) --- (-2.75) --- (-2.5) --- (-2.25) --- (-2) --->

When it comes to negative numbers, the "smaller" number is actually greater.

Therefore, -2.75 is less than -2.5.

AB=EF

ABEF=ABF+AEF

NOW CONTINUES THE SOLUTION

Answer:

Step-by-step explanation:

The median is the line segment connecting the vertex with the midpoint of the opposite side.

The midpoint has coordinates:

Use the distance formula to find the distance between points (2, 7) and (1, 2):

Step-by-step explanation:

the formula for the length of a median based on the 3 side lengths is

m = sqrt(2AB² + 2AC² - BC²)/2

where BC is the side opposite of the indicated vertex.

let's say

A = (2, 7)

B = (-3, 3)

C = (5, 1)

AB² = (2 - -3)² + (7 - 3)² = 5² + 4² = 25 + 16 = 41

AC² = (2 - 5)² + (7 - 1)² = (-3)² + 6² = 9 + 36 = 45

BC² = (-3 - 5)² + (3 - 1)² = (-8)² + 2² = 64 + 4 = 68

m = sqrt(2×41 + 2×45 - 68)/2 = sqrt(82+90-68)/2 =

= sqrt(104)/2 = sqrt(104/4) = sqrt(26) =

= 5.099019514...