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Anarel [89]
3 years ago
15

The music store is having a 15% off sale on all classical music cds. Lyell has a coupon for 20% off any classical music cd. How

much will Lyell save on a classical music cd that has a price of $23.99?
a.
$7.20
b.
$7.68
c.
$8.40
d.
$9.60
Mathematics
1 answer:
EleoNora [17]3 years ago
4 0

Answer:

b.

$7.68

Step-by-step explanation:

23.99 * 15%

23.99 * .15 = 3.60 off

23.99-3.60 =20.39 new price

now to use the coupon

20.39 * 20%

20.39*.20= 4.08 off

20.39 - 4.08 =16.31


23.99-16.31 = 7.68

He saved 7.68




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The solution to -2[1 - 4x] = 3x + 8 is
kvasek [131]

Answer:  " 14 " .

________________________

     →  " x = 14 " .

________________________

Step-by-step explanation:

________________________

First, let us simplify the expression on the "left-hand side" of the equation:

  →  -2(1 −4x) ;

________________________

Note the "distributive property of multiplication" :

      →  a(b + c)  =  ab + ac  .

________________________

As such, we can rewrite:  

      → -2(1 − 4x)  = (-2)(1) + (-2)(-4x) ;

                         =  - 2 + 8x ;

                       ↔  8x − 2 ;

________________________

Now, rewrite the entire expression:

 →  8x − 2 = 3x + 8 ;

________________________

Subtract "(3x)" from each side of the equation;

      and add "2" to each side of the equation:

________________________

 →  8x − 2 − 3x + 2 = 3x + 8 − 3x + 2 ;

to get:  

 →   5x = 10 ;

Now, divide each side of the equation by "5" ;

  to isolate "x" on side of the equation;

      & to solve for "x" ;

________________________

 →  5x/5 = 10/5 ;

to get:

________________________

 →  x = 2 .

________________________

Now, let us check our work:

________________________

Plug in "2" for all "x-values" into the original equation;

to see if the equation holds true;

that is, to see if each side of the original equation given has the same value;  

      when "x = 2" :

________________________

Note the given equation:

________________________

   →   -2[1 − 4x] = 3x + 8 ;

________________________

Start with the left-hand side:

   →  -2[1 − (4*2)} = -2(1 − 8) = -2(-7) = 14 .

Now, continue with the right-hand side:

   →  3(2) + 8 = 6 + 8 = 14 .

___________________________________

   → 14 =? 14 ??? ;  Yes!

___________________________________

Hope this is helpful to you!

___________________________________

5 0
3 years ago
Help pleaseeee thank you
nadezda [96]

Answer its 24x8

Step-by-step explanation:

4 0
2 years ago
Read 2 more answers
Hayley is making loaves of banana bread. She needs two eggs for each loaf. She is going to make 10 loaves. Write a number senten
Anton [14]
The answer would be B. Hope this helps.
7 0
3 years ago
ANSWER FOR BRAINLIEST
tester [92]

The numbers of chairs and tables that should be produced each week in order to maximize the company's profit is 15 chairs and 18 tables.

Since a furniture company has 480 board ft of teak wood and can sustain up to 450 hours of labor each week, and each chair produced requires 8 ft of wood and 12 hours of labor, and each table requires 20 ft of wood and 15 hours of labor, to determine, if a chair yields a profit of $ 65 and a table yields a profit of $ 90, what are the numbers of chairs and tables that should be produced each week in order to maximize the company's profit, the following calculation should be done:

16 chairs; 24 tables

Time used = 16 x 12 + 24 x 15 = 192 + 360 = 552

Wood used = 16 x 8 + 24 x 20 = 128 + 480 = 608  

15 chairs; 18 tables

Time used = 15 x 12 + 18 x 15 = 180 + 270 = 450

Wood used = 15 x 8 + 18 x 20 = 120 + 360 = 480  

12 chairs; 28 tables

Time used = 12 x 12 + 28 x 15 = 144 + 420 = 564

Wood used = 12 x 8 + 28 x 20 = 96 + 540 = 636  

18 chairs; 20 tables

Time used = 18 x 12 + 20 x 15 = 216 + 300 = 516

Wood used = 18 x 8 + 20 x 20 = 144 + 400 = 544

Therefore, the only option that meets the requirements of time and wood used is that of 15 chairs and 18 tables, whose economic benefit will be the following:

15 x 65 + 18 x 90 = X

975 + 1,620 = X

2,595 = X

Therefore, the numbers of chairs and tables that should be produced each week in order to maximize the company's profit is 15 chairs and 18 tables.

7 0
2 years ago
Read 2 more answers
The length L of a rectangle is 4 units more than its width W. The rectangle's are is 252 square units. A) Write the equation tha
jek_recluse [69]

Answer:

w=14

l=18

Step-by-step explanation:

To find the dimensions, create an equation for its area and solve for each using the area formula A = l*w. The dimensions given are A = 252, w for width and l= w+4 (4 more than the width).

A = l*w\\252 = (w+4)*w\\252 = w^2+4w\\252+4 = w^2 +4w +4\\256 = (w+2)^2\\\sqrt{256} =\sqrt{(w+2)^2} \\16 = w+2\\16 = w+2\\14= w\\

The width is 14 so the length is l=w+4 or l= (14)+4 =18

3 0
3 years ago
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