11 less than 7 times a number is 5 more than 6 times the number. find the number.

Mathematics

2 answers:

zheka24 [161]3 years ago

8 0

Equation

7x-11 = 6x+5

Subtract 6x from both sides

x - 11 = 5

Add 11 to both sides

x=16

kolezko [41]3 years ago

7 0

Let's translate the words into expressions:

11 less than 7 times a number is $7x-11$

5 more than 6 times the number is $6x+5$

So we have the equation

$7x-11 = 6x+5$

Subtract 6x from both sides:

$x - 11 = 5$

Add 11 to both sides:

$x=16$

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Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

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In this problem, we have that:

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