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3 years ago

Solve the inequality and graph the solution 4x-5>7

Mathematics

1 answer:

ohaa [14]3 years ago

5 0

Answer:

x > 3

interval notation: (3, ∞)

Step-by-step explanation:

Given the inequality statement: 4x - 5 > 7,

The goal is to isolate x and find its solution.

Start by adding 5 to both sides:

4x - 5 + 5 > 7 + 5

4x > 12

Divide both sides by 4:

4x/4 > 12/4

x > 3

The solution can also be expressed in the following interval notation:

(3, ∞).

In terms of graphing, it involves an empty circle on the endpoint, x = 3, as it is not included as a solution. The solution to the given inequality statement must be greater than 3.

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alina1380 [7]

X=70, y=55

The triangle is an isosceles triangles. In an isosceles triangle, the base angles are congruent.

Then use the triangle angle sum theorem and set the equation to 180.

55+55+x=180
110+x=180
x=70

The angle with 55 degrees and the angle with the variable y are alternate angles. Meaning they are congruent.

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3 years ago

I need help with Geometry

Bezzdna [24]

Answer:

angle 2 = 120 degrees

angle 3 = 30 degrees

Please let me know if you want me to add an explanation as to why this is the answer/how I got this answer. I can definitely do that, I just wouldn’t want to write it if you don’t want me to :)

4 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

An insurance company divides its policyholders into low-risk and high-risk classes. 60% were in the low-risk class and 40% in th

AleksAgata [21]

Answer:

a). 0.294

b) 0.11

Step-by-step explanation:

From the given information:

the probability of the low risk = 0.60

the probability of the high risk = 0.40