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3 years ago

Why is 4.125... rational

Mathematics

2 answers:

Oksi-84 [34.3K]3 years ago

6 0

A rational number is any reappearing decimal

ipn [44]3 years ago

5 0

Answer:

A rational number is any integer, fraction, terminating decimal, or repeating decimal.

Step-by-step explanation:

Terminating decimal is a fraction whose decimal representation contains a finite number of digits.

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Please answer below :-)

katrin2010 [14]

Step-by-step explanation:

$\frac{2x - 1}{4} + \frac{x}{3} = 2$

find a common denominator of 12 for each fraction

$\frac{3}{3} \times \frac{(2x - 1)}{4} + \frac{4}{4} \times \frac{x}{3} = \frac{12}{12} \times \frac{2}{1}$

$\frac{6x - 3}{12} + \frac{4x}{12} = \frac{24}{12}$

$\frac{6x - 3 + 4x}{12} = \frac{24}{12}$

$\frac{10x - 3}{12} = \frac{24}{12}$

multiply both sides by 12

$12 \times \frac{10x - 3}{12} = \frac{24}{12} \times 12$

12s cancel out

$10x - 3 = 24$

add three to both sides

$10x - 3 + 3 = 24 + 3$

$10x = 27$

divide both sides by 10

$\frac{10x}{10} = \frac{27}{10}$

The tens on the left side cancel

$x = \frac{27}{10} = 2.7$

4 0

2 years ago

Can someone help me with this question please!!!!!

lianna [129]

Answer:

a = 29

u = 12

Step-by-step explanation:

32 + 7u + 9 + 2a - 3 = 3a + 7u + 9

32 + 2a - 3 = 3a

a = 29

3(29) + 7u + 9 = 180

7u = 180 - 96

7u = 84

u = 12

6 0

2 years ago

Read 2 more answers

PLEASE HELP ME! IT WOULD BE VERY MUCH APPRECIATED!

shusha [124]

Answer:

Step-by-step explanation:

common ratio of 0.5.

hmu for more

7 0

3 years ago

Stock worth $80 a share dropped in value by 15% on Tuesday, then increased by $7 the next Wednesday and, finally, increased by 1

Nutka1998 [239]

<h2>Steps</h2>

So here are a couple expressions when a value changes by percentage (p = percentage in decimal form and m = original value):

When <em>decrease</em>: (1 - p)m
When <em>increase</em>: (1 + p)m

So firstly, the $80 share dropped by 15%. Since this is a <em>decrease</em>, follow the appropriate expression:

$15\%=0.15\\\\(1-0.15)*80\\0.85*80\\68$

<em>On Tuesday, the share went from $80 to $68</em>

Next, on Wednesday the share increased by $7. With this, just add $68 and 7.

$68+7=75$

<em>On Wednesday, the share went from $68 to $75</em>

Lastly, on Thursday the share increased by 12%. Since this is an <em>increase</em>, follow the appropriate expression:

$12\%=0.12\\\\(1+0.12)*75\\1.12*75\\84$

<h2>Answer</h2>

<u>The final price of the share is $84.</u>

7 0

3 years ago

The length of line PQ is 7.5 inches. what is the absolute error of the measurement?

Rashid [163]

Answer:

The absolute error of the measurement is 0.25 inches

Step-by-step explanation:

we know that

The absolute error of a measurement is equal to one half the unit of measure.

In this problem we have

7.5 inches

The measurement is given by 0.5 inches

the absolute error of this measurement is

$\frac{1}{2}(0.5)=0.25\ in$

Therefore

the exact measurement could be between

7.5 (+/-) 0.25 in

That is, between 7.25 in and 7.75 in

4 0

2 years ago