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igor_vitrenko [27]
3 years ago
13

Melanie buys a carrying case for her new laptop computer. The retail price is $24.50 and the sales tax is 7%. What is the amount

of the sales tax?
Mathematics
1 answer:
kvv77 [185]3 years ago
7 0
1. 7% can also be written as .07
2. To figure out what 7% of 24.50 is than you need to multiple 24.50*.07.
3. 24.50*.07 = 1.715 or $1.72
4. Another way to think about this is as follows:
X/24.50= 7/100 and solve for X
24.50*7 =100x
171.50 =100x
171.50/100=x
1.715 =X
24.50*.07= 1.715 or $1.72
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I know the answer I got is wrong help.
irinina [24]

Answer:

∠2 = 18°

Step-by-step explanation:

∠WXZ = ∠1 + ∠2 ← substitute ∠1 = 3∠2

∠WXZ = 3∠2 + ∠2, that is

72 = 4∠2 ( divide both sides by 4 )

18 = ∠2, that is

∠2 = 18°

   

8 0
3 years ago
PLEASE HELP! 30 POINTS for RIGHT answer!
yulyashka [42]

gg easy

we want to cancel 1 term

first, get them into form am+bn=c where a, b, and c are constants

m-2n=2 is good

m+n=2(n-3) is m+n=2n-6 which is m-n=-6


compare constants

m's have 1 and 1

n's have -2 and -1

let's cancel m's


a. multiply 1st equation by -1

-m+2n=-2

add to 2nd equation


-m+2n=-2

<u>m-n=-6 +</u>

0m+n=-8


n=-8

sub back

m-n=-6

m-(-8)=-6

m+8=-6

m=-14



b. to check

m=-14 and n=-8

m-2n=2

-14-2(-8)=2

-14+16=2

2=2 yep


m-n=-6

-14-(-8)=-6

-14+8=-6

-6=-6 yep


so m=-14 and n=-8 is the solution

5 0
3 years ago
Which of the following is the expanded form of a number? Select all correct answers.
Butoxors [25]

Answer:

3000 + 400 + 70 + 9 + 1/10 + 0/100 + 5/1000. (ii) 7833.45. = 7 thousands + 8 hundreds + 3 tens + 3 ones + 4 tenths + 5 hundredths. = 7000 + 800 + 30 + 3 + 4/10 + ...

5 0
3 years ago
The angle at which the light ray hits the water is equal to the angle at which light ray is reflected from the water?
Solnce55 [7]

Answer:

yes

Step-by-step explanation:

Water reflectant areas or located more to the top of the water!

4 0
4 years ago
Solve for x: 4 over x plus 4 over quantity x squared minus 9 equals 3 over quantity x minus 3. (2 points) Select one: a. x = -4
Kay [80]

Answer:

<h2>c. x = -4 or x = 9</h2>

Step-by-step explanation:

\dfrac{4}{x}+\dfrac{4}{x^2-9}=\dfrac{3}{x-3}

Domain:

x\neq0\ \wedge\ x^2-9\neq0\ \wedge\ x-3\neq0\\\\x\neq0\ \wedge\ x\neq\pm3

solution:

\dfrac{4}{x}+\dfrac{4}{x^2-3^2}=\dfrac{3}{x-3}

use <em>(a - b)(a + b) = a² - b²</em>

\dfrac{4}{x}+\dfrac{4}{(x-3)(x+3)}=\dfrac{3}{x-3}

multiply both sides by (x - 3) ≠ 0

\dfrac{4(x-3)}{x}+\dfrac{4(x-3)}{(x-3)(x+3)}=\dfrac{3(x-3)}{x-3}

cancel (x - 3)

\dfrac{4(x-3)}{x}+\dfrac{4}{x+3}=3

subtract \frac{4(x-3)}{x} from both sides

\dfrac{4}{x+3}=3-\dfrac{4(x-3)}{x}\\\\\dfrac{4}{x+3}=\dfrac{3x}{x}-\dfrac{(4)(x)+(4)(-3)}{x}\\\\\dfrac{4}{x+3}=\dfrac{3x-\bigg(4x-12\bigg)}{x}\\\\\dfrac{4}{x+3}=\dfrac{3x-4x-(-12)}{x}\\\\\dfrac{4}{x+3}=\dfrac{-x+12}{x}

cross multiply

(4)(x)=(x+3)(-x+12)

use FOIL

4x=(x)(-x)+(x)(12)+(3)(-x)+(3)(12)\\\\4x=-x^2+12x-3x+36

subtract 4x from both sides

0=-x^2+12x-3x+36-4x

combine like terms

0=-x^2+(12x-3x-4x)+36\\\\0=-x^2+5x+36

change the signs

x^2-5x-36=0\\\\x^2-9x+4x-36=0\\\\x(x-9)+4(x-9)=0\\\\(x-9)(x+4)=0

The product is 0 if one of the factors is 0. Therefore:

x-9=0\ \vee\ x+4=0

x-9=0            <em>add 9 to both sides</em>

x=9\in D

x+4=0          <em>subtract 4 from both sides</em>

x=-4\in D

7 0
3 years ago
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