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2 years ago

Why do you multiply by a power of 10 when writing a repeating decimal as a rational number

Mathematics

1 answer:

Rudiy272 years ago

4 0

Answer:

The idea is to multiply by 10 so that when we subtract the original number from the multiple, the repeating part cancels out.

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Find the coordinates of point P that lies along the directed line segment AB in a 2:3 ratio given A (-2, 1), B (3, 4).

saul85 [17]

Answer:

$P(x,y) = (0,\frac{11}{5})$

Step-by-step explanation:

Given

$A = (-2,1)$

$B = (3,4)$

$m:n = 2:3$

Required

Determine the coordinates of P

The coordinate of a point when divided into ratio is:

$P(x,y) = (\frac{mx_2 + nx_1}{m + n},\frac{my_2 + ny_1}{m + n})$

Where

$(x_1,y_1) = (-2,1)$

$(x_2,y_2) = (3,4)$

$m:n = 2:3$

This gives:

$P(x,y) = (\frac{2 * 3 + 3 * -2}{2 + 3},\frac{2 * 4 + 3 * 1}{2 + 3})$

$P(x,y) = (\frac{6 - 6}{5},\frac{8 + 3}{5})$

$P(x,y) = (\frac{0}{5},\frac{11}{5})$

$P(x,y) = (0,\frac{11}{5})$

5 0

3 years ago

PLEASE HELP 7TH GRADE MATH

grigory [225]

Answer:

B. 224

Step-by-step explanation: 42/60 means that 70 % of people ride the school bus. So 70 percent of 320 is 224. Hope this helps

7 0

3 years ago

What is the partial product of 4.6 x 3.5

PIT_PIT [208]

The partial product of 4.6×3.5 is 16.1

7 0

3 years ago

Read 2 more answers

Suppose Tommy walks from his home at (0, 0) to the mall at (0, 8), and then walks to a movie theater at (6, 8). After leaving th

stiv31 [10]

Answer:

He walks 28 blocks.

Step-by-step explanation:

0,0 to 0,8 is 8 blocks

0,8 to 6,8 is 6 blocks

6,8 to 6,0 is 8 blocks

returning home (6,0 to 0,0) is 6 blocks

8+6+8+6=28 blocks

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4 years ago

What is he mode of 40 44 48 52

tresset_1 [31]

It does not have a mode
Mode: is the number that appears the most
in this situation, no number appears more than once

hope this helps

8 0

4 years ago