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Paha777 [63]
3 years ago
11

How many of the numbers between 100 and 400 begin or end with 2? Explain.

Mathematics
1 answer:
Tema [17]3 years ago
6 0
I think it's 120 because u go 102, 112
, 122, 132 142.... till you hit 192 then thats 10. then you start at 200 and you know that one hundred numbers are between 200 and 300 and they start with 2. so now you have 110. then you go 302, 312, 322, 332, 342, 352... and that 10 more so 110+10=120
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Write n+5n=______ in simplest form.
pshichka [43]
Just add them together we get 6n. 


7 0
3 years ago
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R: {(−4, 8), (8, 10), (5, 4), (1, 6), (5, −9)}
sergij07 [2.7K]
The range is 

r: {-9,4,6,8, 10}

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8 0
4 years ago
A certain club has 10 members, including Harry. One of the 10 members is to be chosen at random to be the president, one of the
devlian [24]

Answer:

The probability that Harry will be chosen as either as Secretary or as treasurer but not as president out of those 10 members will be \frac{1}{5}.

Step-by-step explanation:

We have 10 members out of which one is Harry, we need to choose one of the 10 members as President, one to be as secretary out of the remaining 9, one  as the treasurer of the remaining 8 members.

We want harry to be as either as secretary or as treasurer. so we will consider both the cases

Probability is given by = No of favorable outcomes/ Total no of outcomes

(1) Harry as secretary : If harry is to be chosen as secretary then he can't be a president or he cant be a Treasurer

  As president = \frac{1}{10}

  Not as president = 1 - \frac{1}{10} = \frac{9}{10}

Now he is selected for the secretary so he can't be selected as treasurer.

Not as treasurer = 1

Probability for chosen as secretary = \frac{9}{10}*\frac{1}{9}*1  = \frac{1}{10}  

(2) Harry as treasurer : If harry is to be chosen as the treasurer so he can't be chosen as a President or as a Secretary.

Probability for not chosen as president = \frac{9}{10}

Probability for not chosen as secretary =  1-\frac{1}{9} = \frac{8}{9}

Probability to be chosen as treasurer = \frac{1}{8}

Probability to be chosen as Treasurer = \frac{9}{10}*\frac{8}{9}*\frac{1}{8} = \frac{1}{10}

Total probability for Harry to be chosen as either secretary or as treasurer will be = P(Secretary) +P(Treasurer)

           = \frac{1}{10} +\frac{1}{10}  = \frac{1}{5}

Therefore the probability that Harry will be chosen as either as Secretary or as treasurer but not as president out of those 10 members will be \frac{1}{5}.

7 0
3 years ago
Simplify tan9x-tan5x / 1+tan9xtan5x<br> (SHOW WORK)
Charra [1.4K]

Answer:

The simplest form is tan(4x)

Step-by-step explanation:

* Lets revise the identity of the compound angles

- tan(a+b)=\frac{tan(a)+tan(b)}{1-tan(a)tan(b)}

- tan(a-b)=\frac{tan(a)-tan(b)}{1+tan(a)tan(b)}

* Lets solve the problem

- Let 9x = 5x + 4x

∴ tan(9x) = tan(5x + 4x)

- Use the rule of the compound angle

∵ \frac{tan(9x)-tan(5x)}{1+tan(9x)tan(5x)} ⇒ (1)

∵ tan(5x+4x)=\frac{tan(5x)+tan(4x)}{1-tan(5x)tan(4x)} ⇒ (2)

∵ tan(9x) = equation (2)

- Substitute (2) in (1)

∴ \frac{\frac{tan(5x)+tan(4x)}{1-tan(5x)tan(4x)}-tan(5x)}{1+(\frac{tan(5x)+tan(4x)}{1-tan(5x)tan(4x)})tan(5x)}

- Multiply up and down by (1 - tan(5x)tan(4x))

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- Simplify up and down

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∴ \frac{tan(4x)+tan^{2}(5x)tan(4x)}{[1+tan^{2}(5x)]}

- Take tan(4x) as a common factor up

∴ \frac{tan(4x)[1+tan^{2}(5x)]}{[1+tan^{2}(5x)]}

- Cancel [1 + tan²(5x)] up and down

∴ The answer is tan(4x)

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