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V125BC [204]
3 years ago
5

Marcel bought a new hat for $21.98 and 2 pairs of socks for $3.98 each. What is the total price, including a 7.5% sales tax?

Mathematics
1 answer:
Bad White [126]3 years ago
7 0

Answer: $32.18

Step-by-step explanation:

Add up

 21.98

+ 3.98

+ 3.98

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

29.94 + 29.94(0.075)

29.94+2.24

$32.18

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2x-4y=-20 write it in y=ax+b form
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Answer:

y =  \frac{1}{2} x + 5

Step-by-step explanation:

2x - 4y =  - 20 \\  \\  - 4y =  - 2x - 20 \\  \\ y =  \frac{ - 2}{ - 4}x  -  \frac{20}{ - 4}  \\  \\ y =  \frac{1}{2} x + 5

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If 3x - 2y = 9 , 27x³- 8y³= 1377 , prove that xy = 4 <br><br><br><br>plzz answer this question... ​
solniwko [45]

Step-by-step explanation:

Here we are given that , the Value of

  • 3x - 2y = 9
  • 27x^3 - 8y^3 = 1377

And we need to find the prove that ,

  • xy = 4

We know a identity as ,

  • (a-b)^3 = a^3-b^3-3ab(a-b)

On cubing both sides of the given equation,

  • (3x-2y)^3 = 9^3

Simplify and then substitute ,

  • 27x^3-8y^3 -3(3x)(2y)(3x-2y ) = 729

  • 1377 - 18xy (9) = 729

  • 162xy = 1377-729

  • xy =\dfrac{648}{162}

  • xy = 4

Hence Proved !

8 0
3 years ago
An electrician has 4.1 meters of wire how many strips 7/10 meter can he cut
spin [16.1K]
Turn 7/10 into decimal. (0.7)

Keep adding by 0.7 until you get the number closest to 4.1

3.5 is the closest, if we add another 0.7, we get 4.2.

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What is the area of ruth's mural?
pentagon [3]

Answer:

Step-by-step explanation:

Comment

The shape consists of a rectangle on the bottom and a trapezoid on the top.

Rectangle

A rectangle has a very simple Area formula. It is Area = L*W. In this case the L = 14 m and is horizontal. The width is at right angles to the length and is marked as 3.

Area = L * w

L = 14

w = 3

Area = 14 * 3 =                            42 m^2

Trapezoid

The trapezoid is a bit more complicated and some things have to be found. First of all b1 is the first base of the trapezoid. It is parallel to and equal to  the Length of the rectangle. b2 is marked 10 meters. The height is just a bit more complicated. The total height of the figure is 8 m. You can't count the 3 m of the rectangle as part of the height because b1 comes only to the top of the rectangle. The height is 8 - 3 = 5

Area = 1/2(b1 + b2)*h/2

b1 = 14

b2 = 10

h = 8 - 3 = 5

Area = 1/2 ( 14 + 10) * 5 / 2

Area = 1/2 (24)*5

Area = 12 * 5

Area =                                      <u>    60 m^2</u>

Total Area                                  102 m^2

8 0
2 years ago
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