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3 years ago

In comparison to 1/3 where would 2/6 be located an on a number line

Mathematics

1 answer:

marta [7]3 years ago

3 0

Answer:

If you simplify 2/6, you get 1/3 by dividing the numerator and denominator by 2.

Therefore, 1/3 and 2/6 would be the same point on the number line.

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A sweatshirt is discounted 30%. If the discount is $9, what was the original price of the sweatshirt? Please show your work.

ArbitrLikvidat [17]

Answer:

$30

Step-by-step explanation:

Let the price of sweatshirt be $x.

Discount percentage = 30%

Discount in dollars = 30% of $x

Discount in dollars = 30/100 of $x = $ 30x/100

Given that discount in $ is 9

thus

30x/100 = 9

x = 9*100/30 = 30

Thus, the original price is $30

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4 years ago

Aaliyah, Julio, Dan, and Miriam are each studying sets of data. Aaliyah is working with 14 data pairs with a correlation coeffic

anzhelika [568]

Answer is A.) Aliya and Julios

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3 years ago

Read 2 more answers

you have 280 gallons of a solution that is 20% salt. how much water should be added to dilute the solution down to 14% salt

Readme [11.4K]

19.6 gallons of water need to be added.....
I think

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4 years ago

What is 2x^2+9x-18 in vertex form?

atroni [7]

Complete the square:

2x² + 9x - 18

2(x² + 9/2 x) - 18

2(x² + 9/2 x + 81/16 - 81/16) - 18

2(x² + 2 (9/4) x + (9/4)²) - 81/8 - 18

2(x + 9/4)² - 225/8

If you're not familiar with the method, the idea is to get a quadratic from the standard form

ax² + bx + c

into its vertex form

a (x - h)² + k

where (h, k) is the vertex of the parabola associated with the quadratic.

Expand the vertex form to get

a (x² - 2xh + h²) + k

ax² - 2ahx + ah² + k

For the two forms to be equivalent, we must have

-2ah = b

ah² + k = c

which means

h = -b/(2a)

k = c - ah² = c - b²/(4a)

In this case, a = 2, b = 9, and c = -18, so

h = -9/(2 • 2) = -9/4

k = 18 - 9²/(4 • 2) = -225/8

7 0

3 years ago

can anyone help tech me how to solve for tax and tip. im going to 6th grade and trying to get into the advanced group but I don'

baherus [9]

If something isn't clear or you're still confused about, let me know in the comments.

Step-by-step explanation:

Okay, here's my best try.

Suppose you have a bill for $8.45

If you are asked to add, say, 8% tax, you must calculate 8 percent of 8.45 and then add it to 8.45.

Begin by converting 8% to decimals by dividing by 100.

$\frac{8}{100}=0.08$ 8% is 0.08 in decimal form.

To calculate a percentage of a number, you multiply the decimal percent by the number; example:

$0.08(8.45)$ 8.45 is being multiplied by 0.08. The result is: 0.676. (this is the tax; however you have to round up to two decimal places: $0.68)

After finding the tax amount, if you are asked to add it to the bill, you have to add it to the original bill; in this case, $8.45

This would be: 0.68+8.45=9.13.

Therefore, the total bill after tax is for $9.13

----------------------------------------------------------------------------------------------------

With tips is the same thing, however, you can have 2 situations.

Situation 1: You are asked to calculate 15% tip of total bill.

In this situation, you can do the same we do to calculate tax.

Convert the percentage to decimal by dividing by 100.

$\frac{15}{100}=0.15$

and multiply it by the original bill.

$0.15(8.45)=1.2675$ . Rounding up, this would be $1.27 for tip.

If you were to add it to the original bill, simply sum.

$8.45+1.27=9.72$

The total bill after tips is for $9.72

Situation 2: You are asked to calculate 15% tip of the total bill with a tax of 8% included.

In this situation, you must first calculate the total bill with the tax added, like we did above; we got a bill for $9.13 (Tax included)

Then you can calculate 15% tip of this new bill that has tax included.

Convert

$\frac{15}{100}=0.15$

Multiply by the new bill (because this is the one that includes tax)

$0.15(9.13)=1.3695$ Round up.... $1.37 for tips.

If you are asked to give a total amount of money including tax and tips, add this to the bill.

9.13+1.37=10.50

This bill would be for $10.50

3 0

3 years ago