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Rina8888 [55]
3 years ago
11

#2 , #4 , #6 , #8 , #10 please

Mathematics
1 answer:
erastovalidia [21]3 years ago
5 0
2)
(4.18  x 10^-4)(9 x 10^-4)
= (4.18 x 9)(10^-4 x 10^-4)
= 37.62 x 10^-8
= 3.762 x 10^-7

4)
(9.45 x 10^10) / (1.5 x 10^6)
=(9.45 / 1.5) (10^10 / 10^6)
= 6.3 x 10^4

6)
(9 x 10^-11) / (2.4 x 10^8)
= (9 / 2.4) (10^-11 / 10^8)
= 3.75 x 10^-19

8)
(9.5 x 10^11) + (6.3 x 10^9)
= 10^9 (950 + 6.3)
= 956.3 x 10^9
= 9.563 x 10^11

10)
(1.357 x 10^9) + 590,000
= (1.357 x 10^9) + (5.9 x 10^5)
= 10^5 (13,570 + 5.9)
=13,575.9 x 10^5
= 1.35759 x 10^9
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At a meeting of 3 representatives from each of 6 different companies, each person shook hands once with every person not from hi
Diano4ka-milaya [45]

Answer:

135

Step-by-step explanation:

From the given information:

The total number of handshakes can be represented by the combination of 18 combination 2, which can be mathematically expressed as:

\mathbf{^{18}C_2} .

where;

\mathbf{^{18}C_2} is the number of ways two people can shake themselves from a total of 28 people without much regard about the order of arrangement of the handshakes.

\mathbf{^{18}C_2 = \dfrac{18!}{2!(18-2)!}}

\mathbf{= \dfrac{18!}{2!(16)!}}

= 153

From these 6 companies, the possibility that there will be handshakes from within the company is \mathbf{^3 C_2}

\mathbf{^3 C_2} = \dfrac{3!}{2!(3-2)!}

= \mathbf{ \dfrac{3 \times 2!}{2!(1)!}}

= 3

However, number of companies = 6

∴ the number of handshakes within companies = 3 × 6 = 18

But we are being told that :

If the representatives did not shake hands with people from their own company, how many handshakes took place

Therefore, the number of handshakes that took place in regard to the given criteria = 153 - 18

= 135

4 0
3 years ago
Haley is comparing the cost of a fresh lobster dinner at two different restaurants. The first restaurant charges $29 for the mea
Svetllana [295]

First restaurant price: 29 + 6l = x

x = final cost

l = kilo of lobster

Second restaurant price: 41 + 3l = x

We want them to be the same price, so: 29 + 6l = 41 + 3l

Subtract 3l from each side

29 + 3l = 41

Subtract 29 from both sides

3l = 12

Divide both sides by 3

l = 4

So, if she buys 4 kilograms of lobster from either place, it will cost the same.

It would cost $53.

8 0
3 years ago
Which of the following is a flat surface that extends infinitely, has length and width, but does not have depth?
IrinaK [193]
<h2>I guess the answer will be Angle. </h2>

<h2>Hope it was helpful </h2>
7 0
2 years ago
Read 2 more answers
Ella and three friends run in
frutty [35]
4x14 =56 each run 14 miles and 4 people
4 0
3 years ago
AC = 64,<br> AB = 7x + 8, and<br> BC = 3x + 6,<br> Find BC.
iVinArrow [24]

Answer:

21

Step-by-step explanation:

  • AC = 64
  • AB = 7x + 8
  • BC = 3x + 6

<u>Since AC = AB + BC</u>

  • 7x + 8 + 3x + 6 = 64
  • 10x + 14 = 64
  • 10x = 50
  • x = 50/10
  • x = 5

------------------

BC = 3x + 6 = 3*5 + 6 = 21

6 0
3 years ago
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