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Olegator [25]
3 years ago
9

Jon bought a printer for $189 and a set of printer cartridges for $192. Sales tax on these items was 6.5%. What is Jon's total b

ill for these items?
Mathematics
1 answer:
julia-pushkina [17]3 years ago
4 0
So first we need to find the total before tax. Let's add up the two prices:

189+192=381

So we know that the total before tax is $381. Now we are told that the sales tax on these items is 6.5%. It would be easier for us to convert 6.5% to a decimal in order to multiply. Let's convert 6.5% to a decimal by dividing by 100:

\frac{6.5}{100}=0.065

Now that we have the sales tax in decimal form, let's multiply this sales tax by the total amount of the items before tax ($381):

381*0.065=24.77

This means that $24.77 is the tax for this purchase. To find the total amount that Jon paid for these items after tax, you must add the tax to the total amount before tax to give you:

381+24.77=405.77

So now we know that Jon's total bill for these items is $405.77.
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Solve 4(2x-3)=6x+2<br> I don't understand the steps pls
Marysya12 [62]

Answer: x = 7

Step-by-step explanation:

4(2x-3) = 6x+2   <--distribute the 4

8x - 12 = 6x + 2   <---add 12 to both sides

8x = 6x + 14    <--- subrtract 6x from both sides

2x = 14    <--- divide by two

x = 7

6 0
3 years ago
Anna and Maya are competing in a dance tournament where dance moves are worth a certain number of points if a dance move it's do
Gre4nikov [31]

Anna's current number of points = 225 points.

She danced correctly and earned = 75 points.

And when she danced incorrectly she loses = 30 points.

Note: For dancing correctly earned points will be added and for dancing incorrectly loses points will be subtracted from the total points has in starting.

So, we can setup an expression as

Current points + earned points - loses points

Plugging values, we get

225 +75 -30   Required expression.

Adding 225 and 75, we get 300.

Therefore, 225 +75 -30 = 300-30.

Subtracting 30 from 300, we get

300-30=270.

Therefore, Anna's final score is 270 points.

6 0
3 years ago
What is the area of the figure?
RUDIKE [14]
The area formula for rectangles is lxw. To solve, I would divide the figure up into 3 rectangles- top,middle and bottom, then find the areas and add them together.

Top: 4x13=52 cm^2
Middle: 5x8=40 cm^2
Bottom: 21x10=210 cm^2

(5 is the width of the middle piece. You get it from subtracting. 21-8-8=5. 13 is the width of the top piece. 5+8=13)

52+40+210
=302 cm^2
So your answer is 302 square centimetres.
6 0
3 years ago
Which polynomial can be simplified to a difference of squares
Mrrafil [7]
<h2>Hello!</h2>

The answer is:

The polynomial that can be simplified to a difference of squares is the second polynomial:

16a^{2}-4a+4a-1=16a^{2}=(4a)^{2}-(1)^{2}=(4-1)(4+1)

<h2>Why?</h2>

To solve this problem, we need to look for which of the given quadratic terms given for the different polynomials can be a result of squaring (elevating by two).

So,

Discarding, we have:

The quadratic terms of the given polynomials are:

First=10a^{2}

Second=16a^{2}

Third=25a^{2}

Fourth=24a^{2}

We have that the coefficients of the quadratic terms that can be obtained by squaring are:

16a^{2} =(4a)^{2} \\\\25a^{2} =(5a)^{2}

The other two coefficients are not perfect squares since they can not be obtained by square rooting whole numbers.

So, the first and the fourth polynomial are discarded and cannot be simplified to a difference of squares at least using whole numbers.

Therefore, we need to work with the second and the third polynomial.

For the second polynomial, we have:

16a^{2} -4a+4a-1=16a^{2}=(4a)^{2}-(1)^{2} =(4-1)(4+1)

So, the second polynomial can be simplified to a difference of squares.

For the third polynomial, we have:

25a^{2} +6a-6a+36=16a^{2}+36=(5a)^{2}+(6)^{2}

So, the third polynomial cannot be simplified to a difference of squares since it's a sum of squares.

Hence, the polynomial that can be simplified to a difference of squares is the second polynomial:

16a^{2}-4a+4a-1=16a^{2}=(4a)^{2}-(1)^{2}

7 0
3 years ago
Read 2 more answers
PLEASE HELP!!!!!!<br> will mark as brainliest!!!!!
olya-2409 [2.1K]

Answer:

Far left one, A

Step-by-step explanation:

3 0
2 years ago
Read 2 more answers
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