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3 years ago

I need help solving this problem, please respond as fast as you can. -7 – 3x = 1x + 4(2 + x)

Mathematics

1 answer:

Ratling [72]3 years ago

6 0

Answer:

x = -15/8

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Equality Properties

Multiplication Property of Equality
Division Property of Equality
Addition Property of Equality
Subtraction Property of Equality

Algebra I

Terms/Coefficients

Step-by-step explanation:

Step 1: Define

-7 - 3x = 1x + 4(2 + x)

Step 2: Solve for x

Distribute 4: -7 - 3x = x + 8 + 4x
Combine like terms: -7 - 3x = 5x + 8
[Addition Property of Equality] Add 3x on both sides: -7 = 8x + 8
[Subtraction Property of Equality] Subtract 8 on both sides: -15 = 8x
[Division Property of Equality] Divide 8 on both sides: -15/8 = x
Rewrite/Rearrange: x = -15/8

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Ratling [72]

A is the answer to the question

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3 years ago

Solve for x 3 x − 8 ≤ 23 AND − 4 x + 26 ≥ 6 Please help thank you!!

MAXImum [283]

To solve for x, you need to isolate/get the variable "x" by itself in the inequality:

3x - 8 ≤ 23 Add 8 on both sides

3x - 8 + 8 ≤ 23 + 8

3x ≤ 31 Divide 3 on both sides to get "x" by itself

$\frac{3x}{3} \leq \frac{31}{3}$

$x\leq \frac{31}{3}$ (x is any number less than or equal to 31/3)

-4x + 26 ≥ 6 Subtract 26 on both sides

-4x ≥ -20 Divide -4 on both sides [When you multiply/divide by a negative number to both sides of an inequality, you flip the sign </>]

$\frac{-4x}{-4} \geq \frac{-20}{-4}$ (two negative signs cancel each other out and become positive)

x ≤ 5 (x is any number less than or equal to 5)

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3 years ago

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vovikov84 [41]

The answer should be:

x = 5

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2 years ago

Write 194.218 in expanded form

Delvig [45]

One hundred ninety four and two hundredth eighteenths

5 0

3 years ago

Estimate the minimum sample size needed to achieve the margin of error E= 0.101 for a 95% confidence interval.

Lisa [10]

Answer:

The minimum sample size required is $(376.59\ \sigma^{2})$ .

Step-by-step explanation:

The (1 - α) % confidence interval for population mean is:

$CI=\bar x\pm z_{\alpha /2}\ \frac{\sigma}{\sqrt{n}}$

The margin of error for this interval is:

$E= z_{\alpha /2}\ \frac{\sigma}{\sqrt{n}}$

The information provided is:

E = 0.101

Confidence level = 95%

α = 5%

Compute the critical value of z for α = 5% as follows:

$z_{\alpha/2}=z_{0.05/2}=z_{0.025}=1.96$

*Use a z-table.

Compute the sample size required as follows:

$E= z_{\alpha /2}\ \frac{\sigma}{\sqrt{n}}$

$n=[\frac{z_{\alpha/2}\times \sigma}{E}]^{2}$

$=[\frac{1.96\times \sigma}{0.101}]^{2}\\\\=376.59\times \sigma^{2}$

Thus, the minimum sample size required is $(376.59\ \sigma^{2})$ .

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3 years ago