All categories

3 years ago

Help me with these 2 questions

Mathematics

2 answers:

Anettt [7]3 years ago

6 0

1. Exact form: 17/4
Mixed number: 4 1/4
2. Exact form: 372/35
Mixed number: 10 22/35

almond37 [142]3 years ago

4 0

Answer:

1. 4¼

2. 10 22/35

Step-by-step explanation:

First, find a common denominator, in this case number 1 would contain a common denominator of 4, and for number 2 it could be 35 (7 x 5 = 35).

Then create an equivalent fraction, 1/2 turned into fourths would be 2/4. 2/4 + 3/4 = 5/4, which equals 1 1/4. Then add 1 1/14 + 1 + 2 = 4¼

For number 2, 3/7 = 15/35 and 1/5 = 7/35. Add them and get 22/35, then add the other numbers. 4 + 6 + 22/35 = 10 22/35

You might be interested in

What is the mean absolute deviation of the data set?<br><br> 2, 2, 5, 6, 8, 4, 8, 5

DedPeter [7]

ANSWER

The mean absolute deviation is 1.75

EXPLANATION

The given date set is 2, 2, 5, 6, 8, 4, 8, 5

The mean is

$\bar X = \frac{2 + 2 + 5 + 6 + 8 + 4 + 8 + 6}{8} = 5$

The mean absolute value deviation is given by:

$=\frac{ \sum |x -\bar X| }{n}$

$= \frac{ | 2 - 5| + |2 - 5|+ |5- 5|+ |6 - 5|+ |8 - 5| + |4 - 5|+ |8- 5|+ |5 - 5| }{8}$

$= \frac{ 3 + 3+ 0+ 1+ 3 + 1+3+ 0}{8}$

$= \frac{14}{8}$

$= 1.75$

7 0

3 years ago

Which factorization is incorrect? 1) x3 + 5x2 + 4x + x2 + 5x + 4 = (x + 4)(x + 1)2 2) 4d3 – 4d2 – 9d + 9 = (d – 1)(2d – 3)2 3) 2

Andru [333]

Answer:

The second option is the incorrect:

2) 4d3 – 4d2 – 9d + 9 = (d – 1)(2d – 3)^2

Step-by-step explanation:

Let's check each one of the factorizations:

1) x3 + 5x2 + 4x + x2 + 5x + 4 = (x + 4)(x + 1)^2

(x + 4)(x + 1)^2 = (x + 4)(x2 + 2x + 1) = x3 + 6x2 + 9x + 4

x3 + 5x2 + 4x + x2 + 5x + 4 = x3 + 6x2 + 9x + 4

This one is correct.

2) 4d3 – 4d2 – 9d + 9 = (d – 1)(2d – 3)^2

(d – 1)(2d – 3)^2 = (d - 1)(4d2 - 12d + 9) = 4d3 - 16d2 + 21d - 9

4d3 – 4d2 – 9d + 9 = 4d3 - 16d2 + 21d - 9

This one is incorrect.

3) 27h3 – 8k3 = (3h – 2k)(9h2 + 6hk + 4k2 )

(3h – 2k)(9h2 + 6hk + 4k2 ) = 27h3 - 8k3

This one is correct.

4) 64 – 9t2 = (8 + 3t)(8 – 3t)

(8 + 3t)(8 – 3t) = 64 - 9t2

This one is correct.

So the incorrect option is the second one.

4 0

3 years ago

Box and tail set up for:

Aleksandr-060686 [28]

Answer:

Step-by-step explanation:

Assuming that all of the 255 sold seats were filled, then

[tex]\frac{sold}{total} *100\\[percent filled]

(225/260)*100=86.53%

100%-86.53%=13.4%

13.4% of seats are empty!

3 0

4 years ago

The volume (V) of water stored in an open tank varies due to evaporation as

Elena L [17]

75 is your answer

Hope this helped

Happy Holidays!

7 0

3 years ago

Read 2 more answers

A repeating decimal + A fraction

AysviL [449]

Answer:

3.33333333333+1/3=3.6666666666666666

7 0

3 years ago

Read 2 more answers