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Novosadov [1.4K]
3 years ago
11

The sum of 5 times a number and minus −​2, plus 7 times a​ number

Mathematics
1 answer:
Olenka [21]3 years ago
6 0

Answer:

12x + 2

Step-by-step explanation:

Let the number be represented by x.

Then five times the number = 5*x

Seven times the number = 7*x

Sum of 5 times the number minus -2 = \[5*x - (-2)\] = \[5x +2\]

Adding seven times the number to this expression yields, \[5x+2+7x\]

\[= (5+7)x+2\]

\[= 12x+2\]

So the simplified expression corresponds to 12x + 2.

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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
The weights of steers in a herd are distributed normally. The standard deviation is 200lbs and the mean steer weight is 900lbs.
katen-ka-za [31]

Answer:

0.0369

Step-by-step explanation:

normalcdf (1220,1320,900,200) is 0.0369

3 0
2 years ago
Please help I am really struggling:(
Nastasia [14]
The equation would be 4(-22)-5
7 0
3 years ago
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Does this graph has a minimum or maximum y=4x^2+4
Lorico [155]

Answer:

It has a minimum and no maximum.

Step-by-step explanation:

This is the graph of a parabola that opens up, so it has a minimum but no maximum.

7 0
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Information was collected on those who attended the opening of a new movie. The analysis found that 56 percent of the moviegoers
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Answer:

65

Step-by-step explanation:

7 0
3 years ago
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