Answer: 2.5 miles per hour
Step-by-step explanation:
this problem is all about conversions
220 ft per minute
first get it to hours, since there is 60 minute in an hour multiply by a factor of 60
220 ft per minute becomes 13200 ft per hour
then you need to covert from ft to mi, there are 5280 ft in 1 mi so divide by 5280
13200 ft per hour becomes 2.5 miles per hour
Answer:
11 feet
Step-by-step explanation:
Use the circumference formula, C = 
d
Plug in 11 as C, and solve for d:
C = d
11 = d
11 = d
So, the diameter is 11 feet
Answer:
(3 and 15)
Step-by-step explanation:
If the product of both of these two numbers needs to be a negative 45 then there are no pair of integers that comply with both requirements.
If the multiplication in the question is wrong and it is a positive 45 then the pair of integers that would comply with these requirements would be (3 and 15). Multiplying this pair together would give you 45 and the difference between them is also 12 meaning it complies with both requirements that were asked for in the question.
Answer:
x <u>></u> -3
Step-by-step explanation:
- 4x - 10 <u><</u> 2
+ 10 <u><</u> + 10
<u>- 4x < 12</u>
-4 -4
x <u>></u> -3
I think the sign flips because the negative sign is w/the X.... If it doesn't, sorry 4 being wrong...
<h2>
Step-by-step explanation:</h2>
As per the question,
Let a be any positive integer and b = 4.
According to Euclid division lemma , a = 4q + r
where 0 ≤ r < b.
Thus,
r = 0, 1, 2, 3
Since, a is an odd integer, and
The only valid value of r = 1 and 3
So a = 4q + 1 or 4q + 3
<u>Case 1 :-</u> When a = 4q + 1
On squaring both sides, we get
a² = (4q + 1)²
= 16q² + 8q + 1
= 8(2q² + q) + 1
= 8m + 1 , where m = 2q² + q
<u>Case 2 :-</u> when a = 4q + 3
On squaring both sides, we get
a² = (4q + 3)²
= 16q² + 24q + 9
= 8 (2q² + 3q + 1) + 1
= 8m +1, where m = 2q² + 3q +1
Now,
<u>We can see that at every odd values of r, square of a is in the form of 8m +1.</u>
Also we know, a = 4q +1 and 4q +3 are not divisible by 2 means these all numbers are odd numbers.
Hence , it is clear that square of an odd positive is in form of 8m +1
