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3 years ago

5/6 (x - 1) = 4 what Is x

Mathematics

2 answers:

irga5000 [103]3 years ago

8 0

5x - 5 / 4 = 4
5x - 5 = 24
5x = 29
x = 29 / 5 = 5.8

vfiekz [6]3 years ago

6 0

5/6(x-1)=4
(x-1)=(4*6)/5
x-1=24/5
x=24/5 + 1
least common multiple=5
x=(24+1*5)/5
x=29/5

Answer: x=29/5

To check:

5/6(x-1)=5/6(29/5 -1)=5/6[(29-5)/5]=5/6(24/5)=(5*24)/(6*5)=120/30=4

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Step-by-step explanation:

Step 1:

To determine if the function represents growth or decay, we substitute values to x.

If the values increase with an increase of x, it represents growth.

If the values decrease with an increase of x, it represents decay.

Step 2:

If $x= 10,$ $y = 1,300 (\frac{1}{2})^{\frac{10}{69} } = 1,300 (0.9044) = 1,175.72.$

If $x=11,$ $y = 1,300 (\frac{1}{2})^{\frac{11}{69} } = 1,300 (0.8953) = 1,163.89.$

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Step 3:

The percentage rate of change is determined by dividing the difference of two consecutive values by the first value.

The percentage rate of change $= \frac{y(x=11) - y(x=10)}{y(x=10)}.$

Substituting the values, we get

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4 years ago

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OlgaM077 [116]

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2 years ago

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Stolb23 [73]

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3 years ago

Write an algebraic expression to represent each statement<br> 50 added to half of a number, c

Fittoniya [83]

The expression represented by 50 added to half of a number, c is 50 + c/2

<h3>What are expressions?</h3>

Expressions are mathematical statements that are represented by variables, coefficients and operators

<h3>How to translate the algebraic expression?</h3>

The expression is given as

50 added to half of a number, c

half of a number, c means divide c by 2

So, we have

50 added to half of a number, c => 50 added to c/2

Added to means +

So, we have

50 added to half of a number, c => 50 + c/2

Hence, the expression represented by the statement is 50 + c/2