MATHEMATICS HIGH SCHOOL

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Solve by applying the counting principle.

You have 5 shirts and 3 pairs of pants and 4 ties.


How many outfit are possible?

Answers

Answer 1
Answer: Well, it depends.
You can only wear 3 outfits unless you wear your pants twice. Then you will have five outfits because ties don't normally get washed til the second time you wear it.

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The difference of 17 and five times a number.

Which expression is a difference of squares with a factor of 5x − 8?25x2 − 16
25x2 + 16
25x2 − 64
25x2 + 64

Answers

Answer:

option  (3) is correct.

25x^2-64

Step-by-step explanation:

 Given :  factor 5x − 8

We have to choose an expression out of given option that is a difference of squares with a factor of 5x − 8

Using  algebraic identity a^2-b^2=(a+b)(a-b)

a difference of squares is written mathematically as a^2-b^2

Since one factor is 5x − 8

using identity stated above other factor has be 5x+8

Thus (5x+8)(5x-8)

On simplify , we get

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

Thus, option  (3) is correct.
a2 - b2 = (a-b)(a+b)

(5x-8)(5x+8) = 25x2 - 64

answer: 25x2 - 64

Given the sequence: 4.5, 5.75, 7, 8.25, Find the common difference

Answers

Answer:

1.25 is the common difference

Step-by-step explanation:
The difference of this equation is 1.25

several friends each had 2/5 of a bag of peanuts left over from the baseball game. they realized that they could had bought two fewer bags of peanuts between them. how Manny friends went to the game?

Answers

the answer is 5.

5 times 2/5 = 2 bags

Students had to pick their favorite sport from basketball, football, and hockey. 35% chose basketball and 28% chose hockey. What percentage chose football ?

Answers

Answer:

37%

Step-by-step explanation:

Add up the percentages and subtract them by 1.00:

  1. 35% & 28% = 0.35 & 0.28
  2. 0.35 + 0.28 = 0.63
  3. 1.00 - 0.63 = 0.37
  4. 0.37 = 37%

Good luck! :)
37% is the answer and no problem

The figure below is a regular octagon with a side length of 8 inches.8 inches
To the nearest square inch, what is the area of the figure?
309
118
64
49

Answers

Answer:

309in²

Step-by-step explanation:

Area of an octagon is expressed as;

A=2(1+√2)a²

a is the side length of the octagon

Given

a = 8

Substitute into the formula

A = 2(1+√2)(8)²

A = 2(1+√2)(64)

Expand

A = 2(64+64√2)

A = 128+128√2

A = 128+128(1.414)

A = 128+181.01

A = 309in²

Hence the area of the octagon is 309in²

A raffle is held at MTHS ASB to draw for a $1000 plasma television. Two thousand tickets are sold at $1.00 each. Find the expected value of one ticket.

Answers

Answer:

$0.5

Step-by-step explanation:

"The expected value of one ticket" is what the cost of the television covers.

If 2000 tickets are sold for $ 1 the total amount of all tickets sold is

2000.(1)= 2000

To calculate the expected value of a single ticket, we have to divide the cost of the TV by the price of all tickets sold.

(1000)/(2000)= 0.5
The "expected value of a ticket" is the probability of being drawn multiplied by the earnings associated to being drawn.
($1 is the price of the ticket which of course can be different).

So in this case probability is 1/2000 and the earnings would be valued $1000 (value of the plasma TV).
The expected value is 1/2000*1000=1000/2000=$0,5

This means you should not buy a $1 ticket to play except if this really brings you LOTS of amusement ;)
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Solve for x.x/9 =14(A) 126 (B) 130 (C)139 (D)146
Find the product of 543.1187 and 100 A. 5.431187 B. 54,311.87 C. 5,431.187 D. 54.31187 Can someone also explain how they came up with the answer so that I can understand? (do you move the decimal? If so, to the left or right? How many times you move it?
When a number is doubled and 5 is subtaracted from the result,the answer is 37.what is the number?