The easiest way to do this is to convert both of the numbers to improper fractions. so 10 becomes 10/1 and 3 1/6 becomes 19/6. Then we multiply straight across so 10*19 is 190 and 1*6 is 6 and we get 190/6. This can be simplified to 95/3 which is 31 2/3. Hope this helps.
Answer:
None of the pairs of expressions are equal
Step-by-step explanation:
• 2n ≠ 2 +n
2n is the same as 2 times of n (expressed as a multiplication sign), while 2 +n is the addition of 2 to n.
•n² ≠ 2n
n²= n ×n
2n= 2 ×n
• 2n² ≠ (2n)²
Note that in the latter, there is a bracket which means that the square applies to both 2 and n.
(2n)²
= (2)² × n²
= (2 ×2)(n²)
= 4n²
Thus, none of the pairs of expressions are equal.
Stan worked 2h days this week
Step-by-step explanation:
The given is:
- Stan drives 30 minutes a day commuting to and from work
- He drove h hours this week
We need to find how many days he worked
∵ Stan drives 30 minutes a day
∵ 1 hour = 60 minute
∴ 30 minutes = 
hour
∴ Stan drives 
hour a day
∵ He drove h hours this week
- To find the number of days that he worked divide the total
hours he drove in this week by the hour he drives in a day
∴ The number of days = h ÷
- Change the division sign to multiplication sign and reciprocal the
fraction after the division sign
∵ The reciprocal of = 
= 2
∴ The number of days = h × 2
∴ The number of days = 2h
Stan worked 2h days this week
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This looks familiar, right? Like slope-intercept.
y=mx+b, where m is the slope.
Let's right it like that.
5y=3x-10 (add 3x to both sides, since we want to isolate the y.)
Now divide by 5, since - again - we want to isolate the y.
y= 3/5x-10/5 >>>> y= 3/5x-2
I think the slope is 3/5.
If the line happens to be parallel, the slope is the same. If perpendicular, it is opposite reciprocal. So if it was perpendicular, the slope would be -5/3.
