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inessss [21]
3 years ago
6

You purchase a stereo that originally costs $250 but is marked 10% off. The sales tax is 5%. How much of your total purchase cos

t is sales tax?
a. $12.50
b. $236.25
c. $262.50
Mathematics
2 answers:
julia-pushkina [17]3 years ago
6 0
I thinks its A $12.50
creativ13 [48]3 years ago
3 0

Answer:

$11.25

Step-by-step explanation:

We have been you purchase a stereo that originally costs $250 but is marked 10% off. The sales tax is 5%.

First of all, we will find price of stereo after 10% off by finding 90% of $250.

\text{Price of stereo after sale}=\$250\times\frac{90}{100}

\text{Price of stereo after sale}=\$250\times0.90

\text{Price of stereo after sale}=\$225

Now, we will find 5% of 225 to find amount of sales tax.

\text{Amount of sales tax}=\$225\times \frac{5}{100}

\text{Amount of sales tax}=\$225\times 0.05

\text{Amount of sales tax}=\$11.25

Therefore, amount of sales tax would be $11.25.

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Alex787 [66]
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\cfrac{31}{\sin(42)} = \cfrac{37}{\sin(x)} 


31\sin(x) = 37 \sin(42)

\sin(x) = \cfrac{37 \sin(42) }{31}

x = \sin^{-1}(\cfrac{37 \sin(42) }{31} )

x = 53 \textdegree

Answer: 53°
7 0
3 years ago
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What is the value of x? Round to the nearest tenth.
kotykmax [81]

Answer:

27.5

Step-by-step explanation:

first you find what 30x30 is as A squared plus B squared is equal to C squared. your A is 12 and your C is 30.

so!

30x30 is 900

12x12 is 144

subtract 144 from 900 and you get 756. once you find the square root you get 27.49. then round up to 27.5

5 0
3 years ago
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Type the correct answer for each box write your answer in decimal form rounded to the nearest tenth if necessary type the soluti
stira [4]

The solution is x=-1 and x=-0.5

Step-by-step explanation:

The expression is 2x(x+1.5)=-1

Multiplying the term x+1.5 by 2x, we get,

2x^{2} +3x=-1

Adding both sides by 1,

2x^{2} +3x+1=0

Taking factor, we get,

\begin{array}{r}{x^{2}+2 x+x+1=0} \\{2 x(x+1)+1(x+1)=0} \\{(2 x+1)(x+1)=0}\end{array}

Equating the factors to 0,

\begin{aligned}2 x+1 &=0 \\2 x &=-1 \\x &=-\frac{1}{2}\\x&=-0.5\end{aligned} and \begin{aligned}x+1 &=0 \\x &=-1\end{aligned}

Thus, the smaller value is x=-1

The solution is x=-1 and x=-0.5

3 0
3 years ago
There are nickels, dimes, quarters in a large piggy bank, for every 2 nickels there are 3 dimes, for every 2 dimes there are 5 q
Alex

There are 80 nickels and 120 dimes and 300 quarters in piggy bank

<em><u>Solution:</u></em>

Given that,

For every 2 nickels there are 3 dimes ,

So, ratio of nickel to dime will be 2 : 3

Also for every 2 dimes there are 5 quarters

So, ratio of dime to quarters is 2 : 5

Let us first find the ratio of nickles to dimes to quarters

nickel : dime = 2 : 3

dime : quarters = 2 : 5

\frac{nickel}{dime} = \frac{2}{3}

nickel = \frac{2}{3} dime

\frac{dime}{quarter} = \frac{2}{5}

quarter = \frac{5}{2}dime

So,

nickel : dime : quarter = \frac{2}{3}dime : dime : \frac{5}{2}dime\\\\nickel : dime : quarter = \frac{2}{3} : 1 : \frac{5}{2}\\\\nickel : dime : quarter = 4 : 6 : 15

Thus nickel : dime : quarters = 4 : 6 : 15

Now, let the number of nickel be 4x

Let the number of dimes be 6x

Let the number of quarters be 15x

From given question,

There are 500 coins in all.

number of nickel + number of dimes + number of quarters = 500

4x + 6x + 15x = 500

25x = 500

x = 20

Thus,

number of nickel = 4x = 4(20) = 80

number of dimes = 6x  = 6(20) = 120

number of quarters = 15x = 15(20) = 300

Thus there are 80 nickels and 120 dimes and 300 quarters in piggy bank    

3 0
3 years ago
IM 20 MIN AWAY FROM FAILING PLZZZ HELPPPP​
padilas [110]

Answer:

13 and 32

Step-by-step explanation:

let one number be x

Then the other number is x + 19 , then

x + x + 19 = 45

2x + 19 = 45 ( subtract 19 from both sides )

2x = 26 ( divide both sides by 2 )

x = 13

The 2 numbers are 13 and 13 + 19 = 32

5 0
3 years ago
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