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11.
Some of the steps in Raya's solution to 2.5(6.25 x +0.5) - 11 are shown.
Statement
1. 2.5(6.25x +0.5) - 11
2.
3.
Reason
1. Given
2.
3. Subtraction property of
equality
4. 7
4. x0.624
Select the correct reason for line 4 of Raya's solution.
O Closure property
O Distributive Property
O Addition property of equality
Division property of equality
O Symmetric property of equality

Respuesta :

Answer:

The value of x is 0.624.

Property used: Symmetric property of equality

Step-by-step explanation:

The expression to be solved is:

[tex]f (x) = 2.5\cdot (6.25x+0.5)-11[/tex]

Compute the solution as follows:

[tex]f (x) = 2.5\cdot (6.25x+0.5)-11[/tex]

       [tex]=(2.5\times 6.25\ x)+(2.5\times 0.5)-11[/tex]

∵ Distributive property (a (b + c) = ab + ac)

       [tex]=15.625x+1.25-11\\=15.625x-9.75[/tex]

Substitute equation equal to 0 to compute the value of x as follows:

[tex]0=15.625x-9.75\\\\15.625x=9.75\\\\[/tex]

∵ Symmetric property of equality if a = b then b = a

[tex]x=\frac{9.75}{15.625}\\\\x=0.624[/tex]

Thus, the value of x is 0.624.

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Answer:

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Step-by-step explanation:

1.)  2.5(6.25x + 0.5) = 11

​2.)  15.625x + 1.25 = 11  

3.)  15.625x = 9.75

​4.)  x = 0.624

Reason

1.)  Given

2.)  Distributive Property  

3.)  Subtraction Property of Equality

4.)  ​Division Property of Equality

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