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olga_2 [115]
3 years ago
12

What is the 100th odd number

Mathematics
2 answers:
bulgar [2K]3 years ago
5 0
Well,

To find what the hundreth odd number is, use this formula: (n * 2 ) - 1

(n * 2 ) - 1

n = 100

(100 * 2 ) - 1

200 - 1

= 199.

The hundreth (100th) odd number is 199.
denis23 [38]3 years ago
4 0
First\ odd\ number\ is:1\\second\ odd\ number\ is:3\\difference\ is:3-1=2\\\\it's\ an\ arithmetic\ sequence\ where\ a_1=1\ and\ d=2\\\\n(th)\ number\ of\ this\ seqence\ we\ calculate\\from\ formula:a_n=a_1+(n-1)d\\\\formula\ from\ yours\ example:\\a_n=1+(n-1)\cdot 2=1+2n-2=2n-1\\\\so...\ conclusion:\\\\a_{100}=2(100)-1=200-1=\boxed{199}\leftarrow answer
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Solve this
sesenic [268]

A sandwich store charges a delivery fee to bring lunch to an office.

Delivery cost - D

Meatball sandwich cost  - M

One office pays $40.50 for 5 meatball sandwiches.

40.50 = 5M + D

Another office pays $66.50 for 9 meat ball sandwiches

66.50 = 9M + D

A. How much does each meatball sandwich add to the cost of delivery?

D = 40.50 - 5M = 66.50 - 9M

40.50 - 5M = 66.50 - 9M

9M - 5M = 66.50 - 40.50

4M = 26.00

M = 6.50

B. What is the delivery fee

D = 40.50 - 5M = 40.50 - 5(6.50) = 40.50 - 32.50 = 8.00

Check

66.50 = 9M + D = 9(6.50) + 8 = 58.50 + 8.00 = 66.50

3 0
3 years ago
suppose a farmer encloses a rectangular region of a land next to a river. fencing will be used on 3 sieds, and none is needed al
nexus9112 [7]

Answer:

Dimensions :

x (the longer side, only one side with fence )   =  90  ft

y ( the shorter side two sides with fence )        =  45  ft

Total fence used   45 * 2  +  90    =  180 ft

A(max)  =  

Step-by-step explanation: If a farmer has 180 ft of fencing to encloses a rectangular area with fence in three sides and the river on one side, the farmer surely wants to have a maximum enclosed area.

Lets call "x" one the longer side  ( only one of the longer side of the rectangle will have fence, the other will be along the river and won´t need fence. "y" will be the shorter side

Then we have:

P = perimeter  =  180  =  2y  +  x        ⇒   y  =  ( 180 - x )  / 2        (1)

And   A (r)   =  x * y

A(x)   =  x  *  ( 180 - x ) /2       ⇒   A(x)   = (180/2) *x   -  x² / 2

Taking derivatives on both sides of the equation :

A´(x)   =  90   -  x    

Then if    A´(x)   =  0   ⇒        90   -  x    =  0     ⇒   x  =  90 ft

and from :       y  =  ( 180 - x )  / 2     ⇒     y  =  90/2

y  =  45  ft

And

A(max)  =  90 * 45    =  4050  ft²

4 0
3 years ago
Select the correct answer.
jenyasd209 [6]

The expression which represents the other factor, or factors, of the given polynomial is option (C) (2x-1)(x+1)

A cubic equation in algebra is a one-variable equation of the form ax3+bx2+cx+d=0 where an is nonzero. The roots of the cubic function defined by the left side of this equation are the solutions to this equation.

Given expression 2x³-3x²-3x+2 whose one of factor is (x-2)

We have to find second factor of given equation

First we will be rational root theorem to given expression so will get following expression:

\left(x+1\right)\frac{2x^3-3x^2-3x+2}{x+1}

So one factor is (x-1) and now simplifying \frac{2x^3-3x^2-3x+2}{x+1}  we get              2x² - 5x +2 and the factor of 2x² - 5x +2 will be (2x-1)(x-2)

Hence the expression which represents the other factor, or factors, of the given polynomial is option (C) (2x-1)(x+1)

Learn more about Polynomial here:

brainly.com/question/4142886

#SPJ10

4 0
1 year ago
Solve plss<br><br> -8r + 12 = 36
liubo4ka [24]
  • -8r + 12 = 36

  • - 8 r = 36 - 12

  • - 8r = 24

  • 8r = - 24

  • r = - 24 / 8

  • r = - 3
4 0
2 years ago
Read 2 more answers
Katie has a bag of 15 marbles. There are 3 green, 4 blue, and 5 red marbles. The rest of the marbles are yellow. If Katie random
son4ous [18]

Answer:

P(yellow or red)   =8/15

Step-by-step explanation:

There are 15 marbles, 3 green, 4 blue, and 5 red marbles.

3+4+5 = 12

That means there are 15-12 = 3  3 yellow marbles.

3 green,

4 blue

5 red

3 yellow

To find the probability of yellow or red, we add the number of yellow and red marbles together over the total number of marbles

P(yellow or red) = (yellow +red)/ total

                           = (3+5)/ 15

                             =8/15

8 0
3 years ago
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