Call the number : x
(1/3)x + 5 = x-6
=> (1/3)x + 5 - (x-6) = 0
=> (1/3)x + 5 - x + 6 = 0
Group (1/3)x with -x, 5 with 6
=> [(1/3)x - x] + (5+6) = 0
=> (-2/3)x + 11 = 0
=> (-2/3)x = -11
=> x = -11 : (-2/3) = 33/2.
Recheck : 1/3 x 33/2 + 5 = 33/6 + 5 = 63/6 = 21/2
33/2 - 21/2 = 12/2 = 6 (21/2 is 6 less than 33/2, satisfied.)
Answer:
c = 8.4m is the answer.
Step-by-step explanation:
a = 6m
b = 6m
c = ?
According to the Pythagorean theorem,
a² + b² = c²
6² + 6² = c²
36 + 36 = c²
c² = 72
c = 8.4m
∴ The mouse runs 8.4 m from the opposite corners of the room.
Answer:
is it 8x
i'm not sure
Step-by-step explanation:

<h3><u>Solution </u><u>(</u><u>a)</u><u> </u><u>:</u><u>-</u></h3>

- <u>By </u><u>taking </u><u>LCM </u><u>of </u><u>the </u><u>given </u><u>denominators </u>


Hence, The answer is 47/30
<h3>
<u>Solution </u><u>(</u><u> </u><u>b</u><u>) </u><u> </u><u>:</u><u>-</u></h3>

- <u>By taking LCM of the given denominators </u>


Hence, The answer is 15/56
<h3>
<u>Solution </u><u>(</u><u> </u><u>c</u><u>) </u><u> </u><u>:</u><u>-</u></h3>

- <u>By taking LCM of the given denominators </u>



Hence, The answer is 27/26
<h3>
<u>Solution </u><u>(</u><u> </u><u>d</u><u>) </u><u> </u><u>:</u><u>-</u></h3>

- <u>By taking LCM of the given denominators</u>


Hence, The answer is 16/15
<h3><u>Solution </u><u>(</u><u> </u><u>e) </u><u>:</u><u>-</u></h3>

- <u>By taking LCM of the given denominators</u>


Hence, The answer is 25/77
<h3>
<u>Solution </u><u>(</u><u> </u><u>f</u><u>) </u><u>:</u><u>-</u></h3>

- <u>By taking LCM of the given denominators</u>


Hence, The answer is 95/36