Ask question

Ask question

All categories

3 years ago

8

A sound system originally priced at $480 is on sale for 20 percent off. The tax on the purchase after the discount id 7.5 percen

t. What id the total cost of the sound system including tax?

1 answer:

daser333 [38]3 years ago

7 0

Answer:

$412.80

Step-by-step explanation:

480 x 0.20(20%)=96

480-96=384

384 x .075(7.5%)=28.8

384+28.80=412.80

You might be interested in

James, Gilbert, Matthew, and Simon ran in a relay race.

alexandr1967 [171]

Answer

You make all the denominators to 12.

That makes Gilbert the fastest and Simon the slowest.

4 0

3 years ago

Read 2 more answers

2 significant figures of 124.4562 L

Charra [1.4K]

Answer:

120 liters.

Step-by-step explanation:

124.4562 rounded to the nearest 2 significant figures is 120.

The third significant figure is 4, which is lower than five, so when rounded don't add +1 to the second significant figure.

The answer is 120 liters.

8 0

3 years ago

What is the volume of the cylinder. its 15 units high and a radius of 11.<br><br>

murzikaleks [220]

Answer:

V = 1815 pi units ^3

Step-by-step explanation:

The volume of a cylinder is given by

V = pi r^2 h

V = pi ( 11)^2 * 15

V = 1815 pi

8 0

3 years ago

Help help help guys show you solution

Mars2501 [29]

Answer:

Step-by-step explanation:

1) y = 2x ----------(I)

x + y = 6 -----------(II)

Plug in y =2x in equation (II)

x + 2x = 6 {Add like terms}

3x = 6

x = 6/3

x = 2

Plugin x = 2 in (I)

y = 2*2

y = 4

<u>Check: </u>

LHS = x +y

= 2 + 4

= 6 = RHS

2)5x + 10y = 3 ------------(I)

x = (-1/2) y ------------(II)

Substitute x = (-1/2)y in (I)

$5*\frac{-1}{2}y + 10y = 3\\\\\frac{-5}{2}y+ \frac{10*2}{1*2}y = 3\\\\\frac{-5}{2}y+\frac{20}{2}y=3\\\\\frac{-5+20}{2}y = 3\\\\\frac{15}{2}y=3\\\\ y = 3*\frac{2}{15}\\\\ y = \frac{2}{5}$

Substitute y = (2/5) in equation (II)

$x = \frac{-1}{2}*\frac{2}{5}\\\\x = \frac{-1}{5}$

<u>Check:</u>

Substitute x and y value in equation (I)

$LHS = 5*\frac{-1}{5}+10*\frac{2}{5}\\\\ = -1 + 2*2\\\\ = -1 + 4\\ = 3 = RHS$

3) y - x = 3x + 2

y = 3x + 2 + x

y = 4x + 2 ---------------(I)

2x + 2y = 14 - y

2x + 2y +y = 14

2x + 3y = 14 ------------------(II)

Substitute y = 4x + 2 in equation (II)

2x + 3(4x +2) = 14

2x + 3*4x + 3*2 = 14

2x + 12x + 6 = 14

14x + 6 = 14

14x = 14 - 6

14x = 8

x = 8/14

x = 4/7

Substitute 'x' value in (I)

$y = 4*\frac{4}{7} +2\\\\y = \frac{16}{7}+2\\\\y= \frac{16}{7}+\frac{2*7}{1*7}\\\\y=\frac{16}{7}+\frac{14}{7}\\\\y=\frac{30}{7}$

<u>Check:</u>

<u /> $LHS = 2x + 3y\\\\ = 2*\frac{4}{7}+3*\frac{30}{7}\\\\ = \frac{8}{7}+\frac{90}{7}\\\\=\frac{8+90}{7}\\\\=\frac{98}{7}\\\\=14 = RHS$ <u />

6 0

3 years ago

The chorus has six sopranos and eight baritones. in how many ways can the director choose a quartet that contains at least one s

adell [148]

If you have six sopranos and eight baritones, you have fourteen musicians in total.
The number of possible quartets that you can get with 14 musician is:
$14C4= \frac{14!}{4!(14-4)!}$
$14C4= \frac{14!}{(4!)(10!)}$
$14C4=1001$

Now, the number of possible quartets without a soprano that you can have is:
$8C4= \frac{8!}{4!(8-4)!}$
$8C4= \frac{8!}{(4!)(4!)}$
$8C4=70$

Therefore, the number of quarters that contains at list one soprano will be the number of possible quarters minus the number of quarters without a soprano:
$1001-70=931$
We can conclude that the director can choose a quarter which contains at least one soprano in 931 ways.

4 0

3 years ago