All categories

3 years ago

10x - 8 > 2 (4x + 2) what is x

Mathematics

1 answer:

DIA [1.3K]3 years ago

3 0

Answer:

x>6

Step-by-step explanation:

10x-8 > 2(4x+2)

Distribute:

10x-8 > 8x+4

Add 8 to both sides/ Move the -8 to the right side by adding it

10x > 8x + 12

Subtract 8x from both sides

2x > 12

Simplify by dividing both sides by 2

x > 6

You might be interested in

John withdraws $40.00 from her savings account each month. What integer represents the net effect on her balance after 5 months?

lina2011 [118]

Answer:

The net effect of amount in John account after 5 months is $A - $200

Step-by-step explanation:

Given as :

The amount of money withdraws by John each month from his account = $40

Let The total amount of money did John had in his account = $A

Let the amount left in John account after 5 months of withdraw = $x

<u>So, According to question</u>

∵ Each month the money withdraw from account = $40

∴ In 5 months , the money withdraw = $40 × 5

I.e In 5 months , the money withdraw = $200

So, The left money in account after withdraw in 5 months = $A - The amount withdraw in 5 months

I.e x = $A - $200

So, The balance in account after 5 months = x = $A - $200

Hence, The net effect of amount in John account after 5 months is $A - $200 Answer

6 0

3 years ago

A battery has a lifetime that is approximately normally distributed with a mean of 600 hours and a standard deviation of 50 hour

miss Akunina [59]

Answer:

A. Your battery is likely defective since such poor performance is extremely unlikely.

Step-by-step explanation:

When the distribution is normal, we use the z-score formula.

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

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

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

If X is more than two standard deviations from the mean, it is considered an unlikely outcome.

In this question, we have that:

$\mu = 600, \sigma = 50$

Which of the following conclusions is the most appropriate given this information?

Lasted 400 hours, so X = 400.

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

$Z = \frac{400 - 600}{50}$

$Z = -4$

4 standard deviations from the mean, so unlikely.

So the correct answer is:

A. Your battery is likely defective since such poor performance is extremely unlikely.

3 0

3 years ago

Suzl starts her hike at 300 feet below sea level. When she reaches the end of the

Angelina_Jolie [31]

For all the other viewers of this question, the change was -403 feet or you could say 403 feet i guess but the answer is -403 feet

7 0

3 years ago

Which one?????? i need help

borishaifa [10]

<h3>Given</h3>

x + 2 ≥ 6

the graph for the solution

<h3>Solution</h3>

We can solve for x by subtacting 2 from both sides of the inequality.

... x + 2 -2 ≥ 6 -2

... x ≥ 4 . . . . . . . . . . simplify

The answer is read, "x is greater than or equal to 4." This means the solution is those real numbers that are to the right of 4 on the number line, and including 4 on the number line. Numbers to the left of 4 are <em>not included</em>. The inclusion of the number 4 is shown by putting a solid dot there (not an open circle).

The appropriate choice is the 3rd one.