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Anon25 [30]
3 years ago
9

Raul and Ivan each make a number pattern, as described.

Mathematics
1 answer:
alina1380 [7]3 years ago
5 0

Answer:

Option C. 23

Step-by-step explanation:

To know the correct answer to the question given above, let us determine the sequence of Raul and Ivan. This is illustrated below:

From the question given above,

Raul's pattern: start with 15, add 2

Ivan's pattern: start with 11, add 3

For Raul:

Raul's pattern: start with 15, add 2

1st term = 15

2nd term = 15 + 2 = 17

3rd term = 17 + 2 = 19

4th term = 19 + 2 = 21

5th term = 21 + 2 = 23

6th term = 23 + 2 = 25

For Ivan:

Ivan's pattern: start with 11, add 3

1st term = 11

2nd term = 11 + 3 = 14

3rd term = 14 + 3 = 17

4th term = 17 + 3 = 20

5th term = 20 + 3 = 23

6th term = 23 + 3 = 26

Summary

Term >>>>> Raul >>>>>> Ivan

1 >>>>>>>>> 15 >>>>>>>> 11

2 >>>>>>>>> 17 >>>>>>>> 14

3 >>>>>>>>> 19 >>>>>>>> 17

4 >>>>>>>>> 21 >>>>>>>> 20

5 >>>>>>>>> 23 >>>>>>>> 23

6 >>>>>>>>> 25 >>>>>>>> 26

From the calculations made above, we can see that in the 5th term, both Raul and Ivan has the same number as 23.

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The equation 1.5r + 15 = 2.25r represents the number r of movies you must rent to spend the same amount at each movie store. how
EleoNora [17]
1.5r+15=2.25r
First of all, you have to arrange the numbers according to those similar to them. So that will be;
15=2.25r-1.5r
1.5r is subtracted from 2.25r because it crossed over an equality sign to get its position close to 2.25r. And when a number crosses over an equality sign, the sign on the number chages to the opposite. 1.5r has an invisible positive sign which became negative when it crossed. Anyway;
2.25r-1.5r is the same as 2.25-1.5. And that is 0.75r
  Therefore;
15=0.75r
To find out what r is, you have to divide the both sides by 0.75. This is done to remove the 0.75 close to r to finally reveal what r is. Anyway;
15/0.75=0.75r/0.75
15 divided by 0.75 is 20. And 0.75r divided by  0.75 is r. So;
20=r
r=20. So the answer is 20 movies. Hope i helped. Have a nice day.
4 0
3 years ago
Point
klemol [59]

Answer:

6.5 bottles

Step-by-step explanation:

convert liters to ml 1 bottle= 1000ml

divide how much she drank by 1000ml

6500÷1000=6.5

4 0
4 years ago
Please help me thank you and show all work
AleksAgata [21]
Proportional:
82.8 / 92 = 0.9
73.8 / 82 = 0.9
so
FG / 47 = 0.9
FG = 47 * 0.9
FG = 42.3

answer

The distance between 2 campsites is 42.3 m.



8 0
3 years ago
Someone please help me to solve this (8.99 x 10^9) (3 x 10^-5) (-6 x 10^-5)
matrenka [14]
Answer:

(8.99 x 10^9)(3 x 10^-5)(-6 x 10^-5)
(8.99 x 3)(10^9 x 10^-5)(-6 x 10^-5)
26.97 x 10^9-5(-6 x 10^-5)
26.97 x 10^4(-6 x 10^-5)
2.697 x 10^5(-6 x 10^-5)
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3 0
3 years ago
To the nearest tenth of a degree, find the sizes of the acute angles in the 5-12-13 triangle and in the 9-12-15 triangle. This e
Paha777 [63]

Answer:

Step-by-step explanation:

A triangle whose sides are 5-12-13 is a right angle triangle because the sides form a Pythagoras triple. This means that

Hypotenuse² = opposite side² + adjacent side²

If hypotenuse = 13,

Opposite side = 12, then we can determine one acute angle by applying the sine trigonometric ratio

Sin θ = opposite side/adjacent side

Sin θ = 12/13 = 0.923

θ = Sin^-1(0.923) = 67.4°

The other acute angle is

90 - 67.4 = 22.6°

For 9-12-15 triangle

Sin θ = 12/15 = 0.8

θ = Sin^-1(0.8) = 53.1°

The other acute angle is

90 - 53.1 = 36.9°

For 13- 14-15 triangle,

Sin θ = 14/15 = 0.933

θ = Sin^-1(0.933) = 68.9°

The other acute angle is

90 - 68.9 = 21.1°

Another example would be 3-4-5

Sin θ = 4/5 = 0.933

θ = Sin^-1(0.8) = 53.1°

The other acute angle is

90 - 53.1 = 36.9°

3 0
3 years ago
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