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lions [1.4K]
3 years ago
13

Which number line represents the solution set for the inequality 2x – 6 ≥ 6(x – 2) + 8?

Mathematics
1 answer:
vovangra [49]3 years ago
4 0

Answer: x≤ -0.5

Step-by-step explanation:  Graph the two lines or solve for x:

2x – 6 ≥ 6(x – 2) + 8

2x – 6 ≥ 6x – 12 + 8

2x – 6 ≥ 6x – 4

-4x  ≥  2

  x  ≤  -1/2  [Inequality is reversed when multiplying or dividing by a negative number]

The number line is anything less than or equal to - 1/2

Or one can plot each side of the inequality and note the interception point (x = -(1/2)).

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Need Help with #5<br> 4 pts
olga_2 [115]
Answer = 10=21


When you’re multiplying numbers with exponents with the same base (10 is the base) all you have to do is add the exponents

18 and 3 are the exponents we’re dealing with, so we add them and get 21. The base stays the same

10^18 x 10^3 = 10^21

Answer = 10=21
8 0
3 years ago
The radius of a circle is 4.6 millimeters. Find the diameter.
kramer

Hi :)

Radius is half the diameter

4.6 mm (2) = 9.2 mm

The diameter of the circle is 9.2 mm.

4 0
3 years ago
Aneesha travels at 50 mph. Morris is traveling at 3 feet per second less than Aneesha. How fast is Morris traveling
vampirchik [111]

Speed of Morris is 47.95 mph

Step-by-step explanation:

  • Step 1: Convert 3 feet per second to miles per hour.

⇒ 3 ft/s = 3/1.467 mph (∵ 1 mph = 1.467 ft/s)

             = 2.05 mph

  • Step 2: Find the speed of Morris.

Speed of Morris = 50 mph - 2.05 mph = 47.95 mph

6 0
3 years ago
12−(−2) over a line 12−6÷2
joja [24]

Given 12−(−2) over a line 12−6÷2

We can use PEMDAS rule and solve the expression in the order as given below:-

1. Parentheses

2. Exponents

3. Multiplication

4. Division

5. Addition

6. Subtraction

Now solving for given expression:-

\frac{12-(-2)}{12-(\frac{6}{2})}\\\\=\frac{12+2}{12-3}\\\\=\frac{14}{9}

So final answer is 14/9 i.e. 14 over 9.

7 0
3 years ago
The carson family pays $3,252 a year for their cell phones is $3,252 a reasonable answer?
tensa zangetsu [6.8K]

Answer:

Here we will show you how to calculate how much you will make in a year if you make $3252 an hour. Our calculations are based on the following information, but you can change the numbers further down on this page to make it better reflect your situation.

Hourly Pay: $3252

Work hours per week: 40

Work weeks per year: 52

Income Tax Rate: 12%

To calculate how much $3252 an hour is per year, we first calculate weekly pay by multiplying $3252 by 40 hours per week, and then we multiply the product by 52 weeks, like this:

$3252 × 40 hours

= $130,080.00 per week

$130,080.00 × 52 weeks

= $6,764,160.00 per yearNow you know that your gross income per year (income before tax) is $6,764,160.00 if you make $3252 per hour. However, you have to deduct taxes to find your net yearly income (income after tax).

Everyone has to pay 6.2% Social Security Tax and 1.45% Medicare Tax. Furthermore, we assume you will pay about 12% in Federal, State, and Local income taxes. Here is how to calculate your net income (the actual amount you will receive per year):

Social Security Tax

($6,764,160.00 × 6.2)/100

= $419,377.92

Medicare Tax

($6,764,160.00 × 1.45)/100

= $98,080.32

Income Taxes

($6,764,160.00 × 12)/100

= $811,699.20

+ $6,764,160.00 Gross Income

- $419,377.92 Social Security Tax

- $98,080.32 Medicare Tax

- $811,699.20 Federal/State/Local Taxes

= $5,435,002.56 Net IncomeThere you have it. Now you have the answer to "$3252 an hour is how much a year?" If you make $3252 per hour, then your yearly income before taxes is $6,764,160.00 and your yearly income after taxes is $5,435,002.56

We made some assumptions about how much you work and how much taxes you have to pay. You can adjust these assumptions below to match your situation to get the exact amount for your situation.

Step-by-step explanation:

3 0
2 years ago
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