Mathematics High School

Which pair shows equivalent expressions?
213x+2) - 23x+1
O 243x+2) = 5x+4
o 213x+4)=x+2
0 23x+4) = 2£x+8
2.

Which Pair Shows Equivalent Expressions?213x+2) - 23x+1O 243x+2) = 5x+4o 213x+4)=x+20 23x+4) = 2x+82.

Answers

Answer 1

Given:

The pair of expressions in the options.

To find:

The pair that shows equivalent expressions.

Solution:

We have,

[tex]2\left(\dfrac{2}{5}x+2\right)[/tex]

By using distributive property, we get

[tex]2\left(\dfrac{2}{5}x+2\right)=2\left(\dfrac{2}{5}x\right)+2(2)[/tex]

[tex]2\left(\dfrac{2}{5}x+2\right)=\dfrac{4}{5}x+4[/tex]

So, option A is incorrect and option B is correct.

We have,

[tex]2\left(\dfrac{2}{5}x+4\right)[/tex]

By using distributive property, we get

[tex]2\left(\dfrac{2}{5}x+4\right)=2\left(\dfrac{2}{5}x\right)+2(4)[/tex]

[tex]2\left(\dfrac{2}{5}x+4\right)=\dfrac{4}{5}x+8[/tex]

So, options C and D both are incorrect.

Therefore, the correct option is B.

Answer 2

The correct pair of equivalents expressions is B.

Multiplication of expressions

To solve the question, one must have knowledge about the multiplication of expressions.

When you have an expression being multiplied by a value, you multiply all the terms of the expression by that value, so that:

                                     [tex]a (x + y) = ax + ay[/tex]

Thus, performing this multiplication for all alternatives we have:

a) [tex]2 (\frac{2}{5}x + 2) = \frac{4}{5}x + 4[/tex]

b) [tex]2 (\frac{2}{5}x + 2) = \frac{4}{5}x + 4[/tex]

c) [tex]2 (\frac{2}{5}x + 4) = \frac{4}{5}x + 8[/tex]

d) [tex]2 (\frac{2}{5}x + 2) = \frac{4}{5}x + 8[/tex]

So, the only expression that correctly corresponds to the answer is that of alternative B.

Learn more about expressions in: brainly.com/question/439355

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Answers

Answer:

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Step-by-step explanation:

From the picture attached :

The shortest distance cycled :

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Hence, shortest distance cycled is : 17.25

Shortest cycling time :

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Hence, shortest distance cycled is : 1:01:13

Total cycling time:

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Which equation is equivalent to
1/5x-3=2/3

A 5X-45=3

B 3x - 15=10

C 3x-45 = 10

D X-15 = 10

Answers

Answer:

c) 3x - 45 = 10

Step-by-step explanation:

[tex]\frac{1}{5}x-3=\frac{2}{3}\\\\\frac{1}{5}x-\frac{3*5}{1*5}=\frac{2}{3}\\\\\frac{x-15}{5}=\frac{2}{3}\\[/tex]

Cross multiply,

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3*x - 3*15 = 10

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Answers

Answer:

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Answers

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Answers

Answer:

Step-by-step explanation:

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Answers

Answer:

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Answers

Answer:

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Step-by-step explanation:

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Answer:

219

Step-by-step explanation:

13+c=232

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Answers

Answer:

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Answers

Answer:

Step-by-step explanation:

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Answers

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Answers

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Answers

Answer:

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Answers

Answer:

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Step-by-step explanation:

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Answer:

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Answers

Answer:

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Answers

Step-by-step explanation:

You can find the area of a right triangle the same as you would any other triangle by using the following formula:

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Answers

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Answers

Answer:-4m+1/6

Step-by-step explanation:2/3(3m-2)-3/8(8m-2)

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