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PilotLPTM [1.2K]
3 years ago
10

( x - 7 )/ ( x - 2 ) = 5/4 , Therefore x = -------------

Mathematics
1 answer:
skad [1K]3 years ago
4 0

Answer:

x = -18

Explanation:

To solve this problem easily, we can cross multiply. You would multiply the numerator of the first fraction by the denominator of the second, and multiply the numerator of the second fraction by the denominator of the first. In this case, (x-7) would be multiplied by 4 and 5 would be multiplied by (x-2). The answers from these two calculations would each be one side of the equation.

After doing this, you can solve and isolate x.

Work is shown in the attached picture.

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There are 40 people at Drake’s sweet sixteen party. Drake’s only rule is that everyone in the party must meet and shake each oth
Nonamiya [84]

Answer:

Given:

Total Number of people at the Drake’s sweet sixteen party = 40

Everyone in the party must meet and shake each other’s hand

1) How many handshakes are there altogether?

There was total of 780 handshakes in the party.

2. How did you get your solution:

If you have 7 people, person seven shakes six other hands, person  

six shakes five other hands, person five shakes fours other hands,  

person  ,four shakes three other hands, person three shakes two other hands,  and person two shakes one hand.  Another way to see it is,

Person 7  +person 6 + person 5 + person 4 +person 3 + person 2 +  person 1

= 6+5+ 4+3+2+1

=>21

so similairly in case of 40 persons

= 39+38+37+36+37+36+35+34 .................+3+2+1

=>780

3) What’s the quickest way to figure this out if Drake invited 1,000 people?

People at Party               Number of Handshakes

     2                                                     1

     3                              1 + 2              = 3

     4                            1 + 2 + 3          = 6

     5                          1 + 2 + 3 + 4      = 10

     6                        1 + 2 + 3 + 4 + 5  = 15

     .

     .

     .                                          

     n                              1 + 2 + ...+ (n-1) =  --------     \frac{n(n-1)}{2}

Hence for n persons the number of handshakes will be  \frac{n(n-1)}{2}

So for 1000 persons the number of handshakes will be

=>\frac{1000(1000-1)}{2}

=>\frac{1000(999)}{2}

=>\frac{999000}{2}

=>499,500

                                                     

3 0
3 years ago
Simplify the following expression.<br> 2x + 3x3 - 5x2 + x2 +7x + 1+ 7x -3x3 - 4
denis-greek [22]

-4x^2+16x-3 is your answer

8 0
3 years ago
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BRAINLIESTTT ASAP! PLEASE HELP ME :)
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Answer:

Step-by-step explanation:

Just plug in 20 for t:

f(20)=\frac{60*20}{20^2+46}=\frac{1200}{400+46}=\frac{1200}{446}=2.69058

8 0
3 years ago
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Math please help ( ASAP vv easy )
maks197457 [2]
A. the answer is the first one
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What does the f(n - 1) represent?
leonid [27]

I'm assuming that you are talking about sequences <3

In the context of a recursive formula where we have "n-1" in sub-index of "a", you can think of "a" as the previous term in the sequence. In the context of an explicit formula like "-5+2(n-1)" "n-1" represents how many times we need to add 2 to the first term to get the nth term.

Dw if you don't understand, sequences and functions isn't an easy topic

3 0
2 years ago
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