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olasank [31]
3 years ago
12

What is the sum of the next two numbers in the pattern 169,120,84,59,43,_,_

Mathematics
1 answer:
Amiraneli [1.4K]3 years ago
5 0

Answer:

64

Step-by-step explanation:

Here, we want to know the sum of the next two terms

We need to get the pattern first

The difference between the first two numbers is 49 (7^2)

next two is 36 (6^2)

next two is 25 (5^2)

next two is 16 (4^2)

next two will be 3^2 = 43-9 = 34

next will be 2^2 = 34-4 = 30

So the sum here is 30 + 34 = 64

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Michael rents a car for one day. The charge is $30 plus the $0.12 per mile. He wants to spend exactly $105. How many miles can h
borishaifa [10]

Answer:

He can drive 625 miles

Step-by-step explanation:

Total spent: $105

$105- $30 charge = $75

$75/$0.12 per mile charge

= 625 Miles

7 0
4 years ago
In a doctor's waiting room, there are 14 seats in a row. Eight people are waiting to be seated. There is someone with a very bad
diamong [38]

Answer: 12,972,960

Step-by-step explanation: There are 14 chairs and  8 people to be seated. But among the 8. three will be seated together:

So 5 people and (3) could be considered as 6 entities:

Since the order matters, we have to use permutation:

¹⁴P₆ = (14!)/(14-6)! = 2,162,160, But the family composed of 3 people can permute among them in 3! ways or 6 ways. So the total number of permutation will be ¹⁴P₆  x 3! 

2,162,160 x 6 = 12,972,960 ways.

Another way to solve this problem is as follow:

5 + (3) people are considered (for the time being) as 6 entities:

The 1st has a choice among 14 ways

The 2nd has a choice among 13 ways

The 3rd has a choice among 12 ways

The 4th has a choice among 11 ways

The 5th has a choice among 10 ways

The 6th has a choice among 9ways

So far there are 14x13x12x11x10x9 = 2,162,160 ways

But the 3 (that formed one group) could seat among themselves in 3!

or 6 ways:

Total number of permutation = 2,162,160 x 6 = 12,972,960

5 0
3 years ago
Look at the image please. Due today!!
inn [45]

Answer:

what is poverty and what is seasonal poverty

8 0
3 years ago
Read 2 more answers
Please help with #12 im confused<br> that is the key but i dont get it
Svetllana [295]

Given Equation

\boxed{ \tt \: (8 \sqrt{3}  - 2 \sqrt{2} )(8 \sqrt{3}   + 2 \sqrt{2})}

Step by step expansion:

\dashrightarrow \sf \: (8 \sqrt{3}  - 2 \sqrt{2} )(8 \sqrt{3}   + 2 \sqrt{2})

\\  \\

\dashrightarrow \sf \: (8 \sqrt{3})^{2}  - (2 \sqrt{2}  {)}^{2}

Reason:

(a + b)(a - b) = a²- b²

\\  \\

\dashrightarrow \sf \: (8 {}^{2}  \times  { \sqrt{3} }^{2} )- (2 \sqrt{2}  {)}^{2}

\\  \\

\dashrightarrow \sf \: (64  \times 3 ) - (2 \sqrt{2}  {)}^{2}

\\  \\

\dashrightarrow \sf \: (64  \times 3 ) - (2 {}^{2} \times   \sqrt{2}  {}^{2}  {)}

\\  \\

\dashrightarrow \sf \: 192- 8

\\  \\

\dashrightarrow \sf \: 184

\\  \\

~BrainlyVIP ♡

4 0
3 years ago
Read 2 more answers
Helppp meee pleasssseee!!!
aivan3 [116]

Answer:

19°

Step-by-step explanation:

Set up the equation (triangles add up to 180 degrees)(Right angles are 90 degrees).

39 + 90 + 2x + 13 = 180

142 + 2x = 180

2x = 38

x = 19

5 0
3 years ago
Read 2 more answers
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