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STALIN [3.7K]
3 years ago
5

What are the next two numbers in the pattern 3,6,5,10,9,18,17.

Mathematics
2 answers:
LenKa [72]3 years ago
6 0
This pattern appears to alternate between doubling and subtracting by 1. 

To get from 3 to 6, we multiply by two.
To get from 6 to 5, we subtract one.
To get from 5 to 10, we multiply by two.
To get from 10 to 9, we subtract one.
To get from 9 to 18, we multiply by two.
To get from 18 to 17, we subtract one.

Therefore, next we need to multiply by two.
17 x 2 = 34
So, the next number is 34.

To find the number after, we subtract one.
34 - 1 = 33
Thus, the number after is 33.

In conclusion, the next two numbers are 34 and 33.
Natali [406]3 years ago
4 0
34 and 33 because the pattern goes # x 2 then - 1 
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(3x-5)/(x-5)&gt;=0 <br> How do I get the answers for this problem?
Diano4ka-milaya [45]
\frac{3x-5}{x-5} > 0 

First, note that x is undefined at 5. / x ≠ 5
Second, replace the inequality sign with an equal sign so that we can solve it like a normal equation. / Your problem should look like: \frac{3x-5}{x-5} = 0
Third, multiply both sides by x - 5. / Your problem should look like: 3x - 5 = 0
Forth, add 5 to both sides. / Your problem should look like: 3x = 5
Fifth, divide both sides by 3. / Your problem should look like: x = \frac{5}{3}
Sixth, from the values of x above, we have these 3 intervals to test: 
x < \frac{5}{3}
\frac{5}{3} < x < 5
x > 5
Seventh, pick a test point for each interval. 

1. For the interval x < \frac{5}{3} :
Let's pick x - 0. Then, \frac{3x0-5}{0-5} > 0
After simplifying, we get 1 > 0 which is true.
Keep this interval.

2. For the interval \frac{5}{3} < x < 5:
Let's pick x = 2. Then, \frac{3x2-5}{2-5} > 0
After simplifying, we get -0.3333 > 0, which is false.
Drop this interval.

3. For the interval x > 5:
Let's pick x = 6. Then, \frac{3x6-5}{6-5} > 0
After simplifying, we get 13 > 0, which is ture.
Keep this interval.
Eighth, therefore, x < \frac{5}{3} and x > 5

Answer: x < \frac{5}{3} and x > 5

3 0
3 years ago
On a number line, point D is at -3, and point E is at 6. The point F lies on DE. The ratio of DF to FE is 2:3. Where does point
expeople1 [14]

Answer: point F is at <u>   0.6   </u> on the number line

=============================================================

Explanation:

The ratio 2:3 scales up to 2x:3x for some positive real number x.

This means the distance from D to F is 2x units, and the distance from F to E is 3x units. Combine those two smaller distances to get 2x+3x = 5x to represent the full distance from D to E.

D is at -3 and E is at 6. This is a distance of 9 units since |-3-6| = |-9| = 9

Set this equal to the 5x from earlier and solve

5x = 9

x = 9/5

x = 1.8

This leads to 2x = 2*1.8 = 3.6

Therefore, we'll move 3.6 units from -3 to -3+3.6 = 0.6 which is the location of point F on the number line.

Notice that from 0.6 to 6 is 5.4 units and that 3x = 3*1.8 = 5.4 matches up to help confirm the answer.

5 0
3 years ago
Opposites and absolute value mean the same thing.<br><br> True or false
poizon [28]

Answer:

The absolute value of a number is the distance between the number and zero on a number line. In other words, a number and its opposite have the same absolute value.

Step-by-step explanation:

7 0
3 years ago
7.98 is 1/10 of what number?
Lyrx [107]

Answer:

79.8

Step-by-step explanation:

7.98*10=

79.8

to check

(1/10)*79.8=

7.98

7 0
3 years ago
The distance between two cities is one hundred miles, and a woman drives from one city to the other at a rate of fifty mph. At w
vladimir1956 [14]
It takes her (100 mi)/(50 mi/h) = 2 h to get to her destination. She has 1 h 40 min = 100 min for her 100 mi return trip.
.. (100 mi)/(100 min) = (60 mi)/(60 min) = 60 mi/h

She must return at the rate of 60 mph to complete the trip in 3 h 40 min.
3 0
3 years ago
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