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madreJ [45]
3 years ago
11

Can you solve the equation 2/3(4x - 5)= 8 by using the division property of equality? explain.

Mathematics
1 answer:
bija089 [108]3 years ago
8 0

\dfrac{2}{3}(4x-5)=8\qquad|\text{use the division property of equality}\\\\\dfrac{2}{3}(4x-5):\dfrac{2}{3}=8:\dfrac{2}{3}\\\\\dfrac{2}{3}(4x-5)\cdot\dfrac{3}{2}=8\cdot\dfrac{3}{2}\\\\4x-5=4\cdot3\\\\4x-5=12\qquad|\text{use addition property of equality}\\\\4x-5+5=12+5\\\\4x=17\qquad|\text{use the division property of equality}\\\\4x : 4=17:4\\\\x=\dfrac{17}{4}

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The length of the sides of a triangle are x, 2x+2, and 13. If the perimeter of the triangle is 30, what is the value of x?
scZoUnD [109]

Add all the sides up to equal 30 in an equation because you are given the perimeter. The perimeter is the length around a two dimensional shape. This means the perimeter is the length of all the side lengths added together.

(x) + (2x + 2) + (13) = 30

Combine like terms.

3x + 15 = 30

Subtract 15 from both sides.

3x = 15

Divide both sides by 3.

\boxed {x = 5}

3 0
3 years ago
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nasty-shy [4]

2 by 7 + – is equals to 1 so we can say that x.

x=1-2/7

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4 0
3 years ago
1. Anne wants to join five pieces of paper together. She plans to use 3 rectangular pieces of the same size and 2 square pieces
Artyom0805 [142]

Answer and explanation:

Surface area of a rectangle = length * width

Surface area of a square = a² where a is length of a side

To find total surface area of the the five pieces of paper, we add up all the areas of all the shapes

Given that length of rectangle =3.5

And width = 2

Area of rectangle =3.5*2=7

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Since width of rectangle equal to width of square and all sides of square are equal

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Area of the two squares =4*2=8

Total surface area of the five plane shapes = 21+8= 29

8 0
3 years ago
14 POINTS.
wel

Answer:

2.3 could, but not -0.25.

Step-by-step explanation:

It is impossible to have any probability larger than 100 or lower than 0. 2.3 is possible bc it's below 100 and above 0.

6 0
3 years ago
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Tasya [4]
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