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3 years ago

(02.01) Solve for x: 2 over 5 (x − 4) = 2x.

Mathematics

2 answers:

IRINA_888 [86]3 years ago

8 0

Answer:

The equation having Single variable is:

5 × (x -4)=2 x

Applying , Distributive property of multiplication with respect to Subtraction gives,

→5 x - 5×4=2 x

Subtracting , 2 x from both sides

→5 x -2 x -20= 2 x -2 x

→3 x-20=0

Adding 20, to both sides of the equation

→3 x-20+20=20

→3 x=20

$x=\frac{20}{3}$

katrin [286]3 years ago

6 0

2/5*(x-4)=2x

simplify 2/5*(x-4) to 2(x-4)/5=2x
multiply by 5             2(x-4)=10x
divide by 2                x-4=5x
subtract x                 -4=4x
divide by 4               -1=x

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3 years ago

A first number plus twice a second number is 13. Twice the first number plus the second totals 14. find the numbers

sashaice [31]

Answer:

the first number is 5 the second number is 4

Step-by-step explanation:

first number = x

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3 years ago

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3 years ago

Let the abbreviation PSLT stand for the percent of the gross family income that goes into paying state and local taxes. Suppose

gavmur [86]

Answer:

Number of families that should be surveyed if one wants to be 90% sure of being able to estimate the true mean PSLT within 0.5 is at least 43.

Step-by-step explanation:

We are given that one wants to estimate the mean PSLT for the population of all families in New York City with gross incomes in the range $35.000 to $40.000.

If sigma equals 2.0, we have to find that how many families should be surveyed if one wants to be 90% sure of being able to estimate the true mean PSLT within 0.5.

Here, we will use the concept of Margin of error as the statement "true mean PSLT within 0.5" represents the margin of error we want.

SO, Margin of error formula is given by;

Margin of error = $Z_(_\frac{\alpha}{2}_ ) \times \frac{\sigma}{\sqrt{n} }$

where, $\alpha$ = significance level = 10%

$\sigma$ = standard deviation = 2.0

n = number of families

Now, in the z table the critical value of x at 5% ( $\frac{0.10}{2} = 0.05$ ) level of significance is 1.645.

SO, Margin of error = $Z_(_\frac{\alpha}{2}_ ) \times \frac{\sigma}{\sqrt{n} }$

0.5 = $1.645 \times \frac{2}{\sqrt{n} }$

$\sqrt{n} =\frac{2\times 1.645 }{0.5}$

$\sqrt{n} =6.58$

n = $6.58^{2}$

= 43.3 ≈ 43

Therefore, number of families that should be surveyed if one wants to be 90% sure of being able to estimate the true mean PSLT within 0.5 is at least 43.

4 0

3 years ago

Add 60 5/9 54 1/3 59 1/3 56 1/6 _____ Thank You!

kykrilka [37]

Answer:

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Step-by-step explanation:

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3 years ago