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Blababa [14]
3 years ago
7

What is one third the difference between 3/4 and 2/3?

Mathematics
1 answer:
Ivan3 years ago
3 0

Answer:

One third the difference between 3/4 and 2/3  is (\frac{1}{36} )

Step-by-step explanation:

One third the difference of A and B  =  \frac{1}{3} \times (A-B)

Here, as given in the question:

A = \frac{3}{4} , B = \frac{2}{3} \\\implies A  - B =  \frac{3}{4} - \frac{2}{3}\\=(\frac{3 \times 3 -2 \times 4}{12})  = (\frac{9-8}{12} ) = (\frac{1}{12})\\ \implies  A  - B =  (\frac{1}{12})

Now, one third of the difference is :

(\frac{1}{3}) \times (\frac{1}{12}) =   (\frac{1}{36})

Hence, one third the difference between 3/4 and 2/3  is (\frac{1}{36} )

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A company orders 25 boxed lunches from a deli for $185. If each boxed lunch costs the same amount, what is the unit cost of each
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Answer:

7.40

Step-by-step explanation:

Divide 185 by 25 to get unit rate

7 0
3 years ago
The Length of a rectangle is 5 centimeters less than twice its width . The perimeter of the rectangle is 80cm. What are the dime
borishaifa [10]
Perimeter is the sum of all a shapes sides.

with that in mind, we know a rectangle has four sides. with 2 pairs being the same.

The length as told is, 5 centimeters less than two times the width. Two times the width would be 2w and five less than that would be minus five. so the length is 2w - 5

now to find the perimeter we do two times the width + two times the length.

2w + 2(2w -5) = 80.
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Add ten to both sides and combine the 2w & 4w:
6w = 90
Divide both sides by 6: w = 15.

with this we know the width is 15. to find length plug in 15 to the 2w - 5 equation.

2(15) - 5 = 30 - 5 = 25.

Slap on the units and width = 15 cm, length = 25 cm


7 0
3 years ago
To test the effectiveness of a business school preparation course, 8 students took a general business test before and after the
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Solution :

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Mean    693.75    743.75

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SEM        54.93     50.88

n              8            8

Null hypothesis : The preparation course not effective.

$H_0: \mu_d = 0$

Alternative hypothesis : The preparation course is effective in improving the exam scores.

$H_a : \mu_d>0$  (after -  before)

4 0
3 years ago
Which of the following complex numbers is<br> 2-<br> equivalent to ? (Note: i= -1)<br> 2+i
muminat

Answer:

i = the square root of -1

Step-by-step explanation:

4 0
2 years ago
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Step-by-step explanation:

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