A new television is on sale for $680.00, which is 20% off of its original price. What was the original price of the television?


Answer 1
Answer: x= original price
% off= 20%
Sale $= $680

Find discount amount

Discount Amount= % off * Original $
= 20% * x
change % to decimal (% ÷ 100)
= 0.20 * x
= 0.20x

Find sale price

Sale Price= Original $ - Discount
= x - 0.20x
= 0.80x

Sale= $680= 0.80x
Solve for x

$680= 0.80x
divide both sides by 0.80
$680/0.80= x
$850= x

ANSWER: The original price is $850

Hope this helps! :)

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What is the total cost of a 12.50 item plus 6% sales tax?


So firstly, we have to determine what 6% of $12.50 is. You can do this by multiplying 12.50 and 6% (or 0.06 in decimal form) to get 0.75, or 75 cents. 75 cents is your 6% sales tax.

Next, add up 12.50 and 0.75 to get $13.25. $13.25 is the total cost of the item.



Step-by-step explanation:

brainliest pls

For a certain manufacturer, only ⅘ of the items produced are not defective.If 2,000 items are manufactured in a month, how many are not defective?


To find the number of non-defective chips, we simply use this equation:
2,000 * 4/5
Now you simply divide:
1600 chips aren't defective

I really need help with #1 a and b


1a. Gabriella uses these services:
  Checking (she has an account)
  Debit card

1b. At A+ Bank, Gabriella's monthly charges will be
  $1 (for checking) + $2.50 (for debit card) = $3.50

At NextGen Bank, Gabriella's monthly charges will be
  0 (for checking) + $0.50*20 (for debit card) = $10.00

1c. A+ Bank is a better deal for Gabriella. The fixed fees there are lower than the variable fee at NextGen Bank because she uses her debit card so much.

How to solve trigonometric functions such as

sin 2x sin x + cos x= 0


Use the double angle identity:

sin(2x) = 2 sin(x) cos(x)

Now rewrite

sin(2x) sin(x) + cos(x) = 0


2 sin²(x) cos(x) + cos(x) = 0

Factor out cos(x) :

cos(x) (2 sin²(x) + 1) = 0

Consider the two cases,

cos(x) = 0   OR   2 sin²(x) + 1 = 0

Solve for cos(x) and sin²(x) :

cos(x) = 0   OR   sin²(x) = -1/2

Squaring a real number always gives a non-negative number, so the second case doesn't offer any real solutions. We're left with

cos(x) = 0

Cosine is zero for odd multiples of π/2, so we have

x = (2n + 1) π/2

where n is any integer.

To graph the function g(x) = (x – 5)2 – 9, shift the graph of f(x) = x2 5 units and 9 units.



The graph of f(x) shifts 5 units right and 9 units down to graph g(x).

Step-by-step explanation:

The general form of the parabola is


Where, (h,k) is the vertex of the parabola and a is stretch factor.

The parent function is


The vertex of the parabola is (0,0).

The given function is


The vertex of the parabola is (5,-9).

The vertex of the parabola shifts from (0,0) to (5,-9), therefore the graph of f(x) shifts 5 units right and 9 units down to graph g(x).

To graph the function g(x) = (x – 5)2 – 9, shift the graph of f(x) = x2 ✔ right 
 5 units and ✔ down 9 units.

Please Help!!In 2010, Martin paid $5,518.00 in Social Security tax. The SS tax rate was 6.2%. What was Martin's taxable income in 2010?



$890 or it's $34211.6

Step-by-step explanation:

you divide 5518 by 6.2% or you multiply them