the sales tax in Illinois is 6.25%. about how much will a pair of jeans that has a ticket price of $48.99 cost, including sales tax?

Answers

Answer 1
Answer:

Cost of the pair of jeans = $48.99

Sales tax = 6.25%

Total cost = $48.99+6.25%

                 = $49.05


Therefore, the total cost including sales tax is $49.05


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Last year a large trucking company delivered 9.0 x 105 tons of goods with an average value of $17,000 per ton. What was the total value of the goods delivered? Write the answer in scientific notation

Answers

So, we have 9×105 tons of goods. Which gives us a total of 945 tons.

These goods have the average value of 17000 per ton. When we turn that into an equation we got: 945 * 17000 = 16065000

When we convert that into scientific notation, we can write that as: 1.6065 * {10}^(7)

Solve x2 − 8x + 5 = 0 using the completing-the-square method.x = negative four plus or minus the square root of eleven
x = four plus or minus the square root of eleven
x = negative four plus or minus the square root of five
x = four plus or minus the square root of five

Answers

Answer:

Option 2

Step-by-step explanation:

We have been given a quadratic equation x^2-8x+5=0

First step in completing method square is to make the coefiicient of  x^2  1

Since, in given quadratic equation coefficient of x^2 is already 1. we will proceed to the next step which is add and subtract square of the half of coefficient of x in given quadratic equation.

Here, half of coefficient of x that is  8 would be 4 so we will add and subtract 4^2 in given quadratic equation we will get

x^2-8x+4^2-4^2+5=0  

Now, we will proceed to the third step that is making the whole square formula according to the terms

Here, we can see that we are geeting the formula of (x-4)^2 from x^2-8x+4^2

The equation will become (x-4)^2-4^2+5=0

After simplifying we will get  (x-4)^2-16+5=0

After further simplification we will get (x-4)^2-11=0

After more simplification we will get (x-4)=\pm√(11)

Hence, we will get the value of x which is x=4\pm√(11)

The solution to the quadraticequation x² - 8x + 5 = 0, using the completing-the-square method is x = 4 ± √11

Option B is the correct answer.

We have,

To solve the quadratic equation x² - 8x + 5 = 0 using the

completing-the-square method, follow these steps:

Move the constant term (5) to the other side of the equation:

x² - 8x = -5

Take half of the coefficient of the x-term (-8) and square it:

(-8/2)² = 16

Add the squared value to both sides of the equation:

x² - 8x + 16 = -5 + 16

x² - 8x + 16 = 11

Rewrite the left side of the equation as a perfect square:

(x - 4)² = 11

Take the square root of both sides, considering both positive and negative square roots:

x - 4 = ±√11

Solve for x by adding 4 to both sides:

x = 4 ± √11

Therefore,

The solution to the quadraticequation x² - 8x + 5 = 0, using the completing-the-square method is x = 4 ± √11

Learn more about equations here:

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Find the student’s error in solving the following inequality.2 < –3x –4 < 5
6 < –3x < 5
–2 > x > –5/3

a.The student should have added 4 to all parts (left, middle, and right) to get 6 < –3x < 9.

b.The student divided 6/–3 incorrectly.

c.The student should not have switched the direction of the sign in the final step.

Answers

The second step is wrong because he did not add 4 to the number 5. Then the correct option is A.

What is inequality?

Inequality is defined as an equation that does not contain an equal sign. Inequality is a term that describes a statement's relative size and can be used to compare these two claims.

The solution to inequality is given below.

Step 1 ⇒ 2 < –3x –4 < 5

Step 2 ⇒ 6 < –3x < 5

Step 3 ⇒ –2 > x > –5/3

The student should have added 4 to all parts (left, middle, and right) to get 6 < –3x < 9.


The second step is wrong because he did not add 4 to the number 5. Then the correct option is A.

More about the inequality link is given below.

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the answer is a, the students should have added 4 to all parts

The sum of two polynomials is 8d5 – 3c3d2 + 5c2d3 – 4cd4 + 9. If one addend is 2d5 – c3d2 + 8cd4 + 1, what is the other addend? The choices are: A. 6d5 – 2c3d2 + 5c2d3 – 12cd4 + 8 B. 6d5 – 4c3d2 + 3c2d3 – 4cd4 + 8 C. 6d5 – 4c3d2 + 5c2d3 – 12cd4 + 8 D. 6d5 – 2c3d2 – 3c2d3 – 4cd4 + 8

Answers

Answer: The correct option is A.

Step-by-step explanation: We are given a polynomial which is a sum of other 2 polynomials.

We are given the resultant polynomial which is : 8d^5-3c^3d^2+5c^2d^3-4cd^4+9

One of the polynomial which are added up is : 2d^5-c^3d^2+8cd^4+1

Let the other polynomial be 'x'

According to the question:

8d^5-3c^3d^2+5c^2d^3-4cd^4+9=x+(2d^5-c^3d^2+8cd^4+1)

x=8d^5-3c^3d^2+5c^2d^3-4cd^4+9-(2d^5-c^3d^2+8cd^4+1)

Solving the like terms in above equation we get:

x=(8d^5-2d^5)+(-3c^3d^2+c^3d^2)+(5c^2d^3)+(-4cd^4-8cd^4)+(9-1)

x=6d^5-2c^3d^2+5c^2d^3-12cd^4+8

Hence, the correct option is A.

Answer:

6d5 – 2c3d2 + 5c2d3 – 12cd4 + 8

Show me the working out to: 48 week course, 12 hours a week. Must attend 80% of the class to pass. How many days can one have off?

Answers

If you would like to know how many days, weeks can one have off, you can calculate this using the following steps:

48 week course * 12 hours a week = 48 * 12 = 576 hours in total

80% of the class = 80% of 576 hours = 80% * 576 = 80/100 * 576 = 460.8 hours

576 hours in total - 460.8 hours = 576 - 460.8 = 115.2 hours

115.2 hours / 12 hours a week = 115.2 / 12 = 9.6 weeks

You can have 9.6 weeks off.

If f(x) = 3X + 10 and g(x) = 2x – 4, find (f- g)(x).

Answers

So (f-g)(x) is f(x)-g(x) so you have

(3x+10)-(2x-4)

Distribute the negative in to the 2x-4 to get

3x+10-2x+4

Then combing like terms you have

3x-2x+10+4

And then that gives you

x+14

So (f-g)(x)=x+14

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