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stiv31 [10]
3 years ago
5

PLEASE HELP!!!

Mathematics
1 answer:
34kurt3 years ago
8 0

Answer:

n = m-a

Step-by-step explanation:

The formula is :  ...(1)

a is actual cost of an item

m is original price

n is amount of coupon

We need to solve the formula for the amount of coupen.

Subtracting m to the both sides of equation (1).

a-m = m-n-m

-n=a-m

or

n = m-a

So, the formula for the amount of coupon is n = m-a.

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A. Write an expression for the area of the shaded region.
tekilochka [14]

Answer:

A. 25x² - 64

B. (5x + 8)(5x - 8)

Step-by-step explanation:

A. The area of the shaded region = area of the whole large square - area of the 4 smaller squares

= (5x*5x) - 4(4*4)

Area of shaded region = 25x^2 - 64

B. The expression, 25x^2 - 64, is the difference of two perfect squares, 25x² and 64. Therefore, apply the rule of factoring difference of two perfect squares.

Thus, a^2 - b^2 = (a + b)(a - b)

Therefore, the expression of the are of the shaded region can be expressed in factored form as:

25x^2 - 64 = (5x + 8)(5x - 8)

4 0
3 years ago
PLEASE HELP ME WITH THIS!!!!!​
nadezda [96]

For the given experiment of spinning a spinner and drawing a card, we will see that:

  • A) Yes, the events are independent.
  • B) P(3 and A) = 1/16
  • C) P(5 and C) = 0
  • D) P(4) = 1/4
  •     P(B or C) = 1/2
  • E) P(3 and not D) = 3/16

<h3>What are independent events?</h3>

We say that two events are independent if the outcome of one does not affect the outcome of the other.

In this case, the outcome of the spinner clearly does not affect the outcome of the card draw, so the events are independent.

<h3>How to get the probabilities?</h3>

B) First we want to get the probability of getting 3 and A.

The probability of getting a 3 when drawing a card is given by the quotient between the numbers of card with the number 3 (only one) and the total number of cards, so we have:

p = 1/4

Similar for the case of the spinner, the letter A appears twice, and there are a total of 8 letters, then the probability is:

q = 2/8 = 1/4

The joint probability is the product of the two individual probabilities, we have:

P(3 and A) = p*q = 1/4*1/4 = 1/16

C) The probability of getting a 5 and the letter C is 0, because there is no card with the number 5.

D) P(4) is the probability of drawing the card with the number 4, this is:

p = 1/4

P(B or C) is the probability of spinning the letter B or C. There are 2 B's and 2 C's, and a total of 8 letters, so the probability is:

q = (2 + 2)/8 = 1/2

E) P(1 and not D) is equal to: P(1 and A or B or C).

P(1) is 1/4.

P(A or B or C) is 6 over 8 (because there are 6 cards that are either an A, a B, or a C)

Then the joint probability is:

P(1 and not D) = (1/4)*(6/8) = 3/16

If you want to learn more about probability, you can read:

brainly.com/question/251701

8 0
2 years ago
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