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iris [78.8K]
3 years ago
14

Simplfy

2x\frac{x}{y}" align="absmiddle" class="latex-formula">
Mathematics
1 answer:
lesantik [10]3 years ago
8 0

Answer:

8x-5+2x\dfrac{x}{y} = \dfrac{8xy-5y+2x^2}{y}

Step-by-step explanation:

In this question, we need to simplify 8x-5+2x\dfrac{x}{y}

We can convert elements to fractions.

8x=\dfrac{8xy}{y},\:5=\dfrac{5y}{y}

= \dfrac{8xy}{y}-\dfrac{5y}{y}+\dfrac{2x^2}{y}

As the denominators are equal, we can combine the fractions as follows :

=\dfrac{8xy-5y+2x^2}{y}

Hence, the simplified form is : 8x-5+2x\dfrac{x}{y} = \dfrac{8xy-5y+2x^2}{y}

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cylindrical vase holds 8,038.4 cubic centimeters of water. The height of the vase is 40 centimeters. What is the length of the r
iragen [17]

The radius of the cylindrical vase is 8 centimeters, if the cylindrical vase holds 8,038.4 cubic centimeters of water and the height of the vase is 40 centimeters.

Step-by-step explanation:

The given is,

                 Volume of cylindrical vase = 8038.4 cubic centimeters

                 Height of the cylindrical vase = 40 centimeters

Step:1

                Formula for volume of cylindrical vase,

                                     Volume, V=\pi r^{2} h......................(1)

               Where, r - Radius of cylindrical vase

                           h - Height of cylindrical vase  

                From the given,

                                      V = 8038.4 cubic centimeters

                                      h = 40  centimeters  

                Equation (1) becomes,

                             8038.4 = \pi r^{2}  40

                                          =(3.14)(40)r^{2}                               (∵ \pi = 3.14 )

                               8038.4 = 125.6 r^{2}

                                      r^{2} = \frac{8038.4}{125.6}            

                                       r =\sqrt{64}

                                       r = 8 centimeters

Result:

           The radius of the cylindrical vase is 8 centimeters, if the cylindrical vase holds 8,038.4 cubic centimeters of water and the height of the vase is 40 centimeters.

7 0
3 years ago
The town bought 36 kilograms of wood chips for their playgrounds.
olganol [36]
36 / 9 = 4
Answer : 4 play areas.
7 0
3 years ago
14x + 5y = -6<br> Slope intercept form
andrew11 [14]

Answer:

y=-2.8x-1.2

Step-by-step explanation:

5y=-14x-6

y=-14/5x-6/5

y=-2.8x-1.2

7 0
3 years ago
Read 2 more answers
Write numbers on the blanks to create a different expression that is equal to (3+4)+5
gizmo_the_mogwai [7]

Answer:

(3+4)+5=12

Step-by-step explanation:

(3 + 4 ) = 7

7 + 5 =

12

5 0
3 years ago
A composite figure is formed by combining a square and a triangle. Its total area is 43.5 ft2. The area of the triangle is 18.5
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Answer:

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Step-by-step explanation:

8 0
2 years ago
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