admin

2 months ago

Guest #1433

2 months ago

The **relationship **between the **total cost **and the **costs **of **CDs **and **DVDs **are represented by a **linear function**.

The **cost **of **6 CDs **and **2 DVDs **is **$147.68**

Let:

From the question, we have:

Substitute in

Collect like terms

Divide both sides by 7

Substitute in

The **cost of 6 CDs **& **2 DVDs **is represented as:

So, we have:

Hence, the **cost of 6 CDs **& **2 DVDs **is **$147.68**

Read more about **linear equations **at:

Guest #1434

2 months ago

6 CDs and 2 DVDs would cost $147.68.

Let c be the cost of a CD and d be the cost of a DVD.

We know that c = d+5.96.

We also know that 5c+2d = 127.73.

Substituting our value of c from the first equation into the second one, we have

5(d+5.96)+2d = 127.73

Using the distributive property,

5*d+5*5.96+2d = 127.73

5d+29.80+2d = 127.73

Combining like terms,

7d+29.80 = 127.73

Subtract 29.80 from both sides:

7d+29.80-29.80=127.73-29.80

7d = 97.93

Divide both sides by 7:

7d/7 = 97.93/7

d = 13.99

c = d + 5.96 = 13.99+5.96 = 19.95

6 CDs and 2 DVDs would be

6(19.95)+2(13.99) = 147.68

Let c be the cost of a CD and d be the cost of a DVD.

We know that c = d+5.96.

We also know that 5c+2d = 127.73.

Substituting our value of c from the first equation into the second one, we have

5(d+5.96)+2d = 127.73

Using the distributive property,

5*d+5*5.96+2d = 127.73

5d+29.80+2d = 127.73

Combining like terms,

7d+29.80 = 127.73

Subtract 29.80 from both sides:

7d+29.80-29.80=127.73-29.80

7d = 97.93

Divide both sides by 7:

7d/7 = 97.93/7

d = 13.99

c = d + 5.96 = 13.99+5.96 = 19.95

6 CDs and 2 DVDs would be

6(19.95)+2(13.99) = 147.68

Question

Rectangle J'K'L'M' shown on the grid is the image of rectangle JKLM after transformation. The same transformation will be applied on trapezoid STUV. Rectangle JKLM is drawn on the grid with vertices J at negative 5, 1. K is at negative 5, 6. L is at negative 7, 6. M is at negative 7, 1. Rectangle J prime K prime L prime M prime is drawn with vertices at J prime 4, 4. K prime is at 4, 9. L prime is at 2, 9. M prime is at 2, 4. Trapezoid STUV is drawn with vertices at S is at 9, negative 6. T is at 9, negative 2. U is at 7, negative 2. V is at 6, negative 5. What will be the location of U' in the image trapezoid S'T'U'V'? (16, âˆ’2)

Solution 1

U' will be at (16, 1).

The transformation that maps JKLM to J'K'L'M' is a translation 9 units right and 3 units up.

The same transformation is applied to STUV; this means that U(7, -2) will be mapped to U'(7+9, -2+3) = U'(16, 1).

The transformation that maps JKLM to J'K'L'M' is a translation 9 units right and 3 units up.

The same transformation is applied to STUV; this means that U(7, -2) will be mapped to U'(7+9, -2+3) = U'(16, 1).

Solution 2

**Answer:**

U' will be at (16, 1).

**Step-by-step explanation:**

Question

A polyhedron has 10 faces and 24 edges. Use Euler's Formula to find the missing number of vertices.

Solution 1

Â Euler's Formula :Â **VÂ -Â EÂ +Â FÂ = 2Â **

Given that F = 10 and E = 24

V - 24 + 10 Â = 2

V - 14 Â = 2

V = 16

**Answer: Vertices = 16**

Given that F = 10 and E = 24

V - 24 + 10 Â = 2

V - 14 Â = 2

V = 16

Solution 2

Hey user!!

your answer is here...

we know that Euler's formula = F + V - E = 2

given :-

faces = 10

verticies = ?

edges = 24

therefore F + V - E = 2

==> 10 + V - 24 = 2

==> -14 + V = 2

==> V = 2 + 14

==> V = 16

verification :-

= F + V - E

= 10 + 16 - 24

= 26 - 24

= 2

hence verified..

thus the no. of verticies of the polyhedron is 16.

cheers!!

your answer is here...

we know that Euler's formula = F + V - E = 2

given :-

faces = 10

verticies = ?

edges = 24

therefore F + V - E = 2

==> 10 + V - 24 = 2

==> -14 + V = 2

==> V = 2 + 14

==> V = 16

verification :-

= F + V - E

= 10 + 16 - 24

= 26 - 24

= 2

hence verified..

thus the no. of verticies of the polyhedron is 16.

cheers!!

Question

What number is 31 less than fifty two million and four?

Solution 1

You need to subtract:Â

Â Â Â Â**52,000,000**

Â - Â Â Â Â Â Â Â Â Â 31

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

Â Â Â Â 51999969

Â Â Â Â

Â - Â Â Â Â Â Â Â Â Â 31

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

Â Â Â Â 51999969

Solution 2

**Answer:**

You need to subtract: Â

Â Â Â 52,000,000

Â - Â Â Â Â Â Â Â Â Â 31

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

Â Â Â 51999969

**Step-by-step explanation:**

Question

Simplify the problem sqrt 245c^5

Solution 1

We have that

âˆš[245c^5]------->Â âˆš245*âˆšc^5

we know that

245-----> 5*7Â²

c^5---- cÂ²*cÂ²*c

so

âˆš245----->Â âˆš[5*7Â²]----> 7âˆš5

âˆšc^5---->Â âˆš[cÂ²*cÂ²*c]---> cÂ²âˆšc

âˆš245*âˆšc^5-----> [7âˆš5]*[cÂ²âˆšc]----> 7cÂ²âˆš(5c)

**the answer is**

**7cÂ²âˆš(5c)**

âˆš[245c^5]------->Â âˆš245*âˆšc^5

we know that

245-----> 5*7Â²

c^5---- cÂ²*cÂ²*c

so

âˆš245----->Â âˆš[5*7Â²]----> 7âˆš5

âˆšc^5---->Â âˆš[cÂ²*cÂ²*c]---> cÂ²âˆšc

âˆš245*âˆšc^5-----> [7âˆš5]*[cÂ²âˆšc]----> 7cÂ²âˆš(5c)

Solution 2

**Answer: the answer above is pretty much right, the answe is B**

Question

Which expressions are equivalent to the one below? Check all that apply. 16^x/4^x
A. 16^x
B. (16-4)^x
C. 4^x * 4^x/ 4^x
D. (16/4)^x
E. 4^x
F. 4

Solution 1

16^x / 4^x

= 4^2x / 4^x

= 4^xÂ Â so E is one choice.

also C and D

= 4^2x / 4^x

= 4^xÂ Â so E is one choice.

also C and D

Question

F the equation of a circle is (x + 4)2 + (y - 6)2 = 25, its center point is (4, 6) (-4, 6) (4, -6)

Solution 1

The center is point (-4, 6)

Question

NEED HELP ASAP
the mode(s) of the data set: 16, 11, 12, 16, 13, 13, 12, 17, 16, 13

Solution 1

That would be 13 and 16Â (2 Modes)

Solution 2

The mode is 16 and 13

ME=13+13 over 2 = 26 over 2 =13

ME=13+13 over 2 = 26 over 2 =13

Question

3 4 (2)t/3 = 9 Round your answer to the nearest hundredth. A) 1.62 B) 3.24 C) 8.26 D) 10.75

Solution 1

The answer is 10.75, or 10.7548875

Question

Heather is saving for retirement and has been doing a lot of research on how much she should put aside each month. The newest article says that 1
36
of her salary should be put into a retirement account. If she makes $63,000 a year, how much will she put into her retirement account each month (rounded to the nearest dollar)?

Solution 1

I'm not sure what the question is. Is it supposed to be 1/36?

Question

______________ is process that you can do over and over, where each result does not affect the next. Ex. Flipping a coin, rolling dice, choosing a card, etc.

Solution 1

In probability, an experiment is any procedure that can be infinitely repeated and has a well-defined set of possible outcomes. Thus, an experiment is a process that you can do over and over, where each result does not affect the next. For example: Flipping a coin, rolling dice, choosing a card, etc. are all experiments.

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