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4 years ago

Find the distance between -5 2/5 and -1 3/10 on a number line

2 answers:

8 0

4 3/10 because you can turn two over five into 4/10 so to make -1 3/10 to -2 you -7/10 then -3 to get -5 then -6/10 to get -5 4/10

MakcuM [25]4 years ago

7 0

Answer:

4 1/10

Step-by-step explanation:

-5 2/5 lies to the LEFT of -1 3/10. To find the distance between these numbers on the number line, subtract -5 2/5 from -1 3/10:

Writing both numbers as improper fractions, we get:

-27/5 is to be subtracted from -13/10.

Here we see that the LCD is 10, so we change -27/5 to -54/10. Now subtract

-54/10 from -13/10:

-13/10

-( -54/10 )

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

41/10, or 4 1/10, represents the distance between -5 2/5 and -1 3/10.

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Find the common ratio of the geometric sequence.

Kay [80]

Answer:

The common ratio is $\frac{1}{x^4}$

Step-by-step explanation:

Geometric sequence:A geometric sequence is a sequence in which the ratio of any term to the preceding term of that term is always constant.

Common ratio: The ratio of any term to the preceding term of that term.

The $n^{th}$ term of a geometric sequence is represented by $a_n=ar^{n-1}$ .

The $1^{st}$ term of the sequence = a.

The sum of first n term is

$S_n=\frac{a(1-r^n)}{1-r}$

The common ratio = r.

Given geometric sequence,

$\frac{1}{x^{10}}$ , $\frac{1}{x^{14}}$ , $\frac{1}{x^{18}}$ , $\frac{1}{x^{22}}$ ........

The common ratio is

$=\frac{\textrm{second term}}{\textrm{first term}}$

$=\frac{\frac{1}{x^{14}}}{\frac{1}{x^{10}}}$

$=\frac{x^{10}}{x^{14}}$

$=\frac{1}{x^4}$

6 0

4 years ago

Factor, 15x - X-2????????

murzikaleks [220]

Answer:

13x

Step-by-step explanation:

hope this helps

7 0

3 years ago

What will the movement of a point which is on the surface of a circle touching the ground at the same time, if the circle turns

lesya692 [45]

Answer:

183.26cm

Step-by-step explanation:

Radius of the Circle = 50cm

Let the point be at A

It turns forward 210 degrees to B.

Therefore, the central angle subtended by the arc AB = 210 degrees

The movement of the point from A to B will be the length of the arc AB.

$\text{Length of an arc }=\dfrac{\theta}{360} \times 2\pi r \\$Therefore, the distance moved forward$\\=\dfrac{210}{360} \times 2\times\pi \times 50\\\\=183.26$ cm$

3 0

4 years ago

write the equation of the line through the points (-3,3) and (7,5) in slope-intercept form. what is the y-intercept

sesenic [268]

Answer:

y = 0.2x + 3.6

Step-by-step explanation:

3 + 7 = 10

2 / 10 = 0.2

y = 0.2x + ___

0 - (-3) = 3

3 * 0.2 = 0.6

3 + 0.6 = 3.6

y = 0.2x + 3.6

4 0

4 years ago

Read 2 more answers

Solve for k: 7 < −(−k − 3) + 2

Nata [24]

Step-by-step explanation:

Solve for k by simplifying both sides of the inequality, then isolating the variable.

Inequality Form:

K>2

Interval Notation:

(2,∞)

4 0

3 years ago