Answer:
12 minutes
Option D
Step-by-step explanation:
Given that circuar gears P and Q start rotating at the same time at constant speeds.
Gear P makes 10 revolutions per minute and Gear Q makes 40 revolutions per minute.
Both gears start at the same time.
No of rotations per minute are 10 and 40
Difference is 30 in one minute
For 6 difference we must have exactly 1/5 minutes
which equals 12 seconds.
In 1/5 minutes or 12 seconds gear P would have completed 2 revolutions while Gear Q would have completed 8 revolutions thus making difference as 6.
There are 9 ways total.
Legend: s=Small,M=medium, L=Large,Lt= lettuce,T=tomato,M=Mayonnaise.
1:Hamburger-S-Lt
2:Hamburger-S-T
3:Hamburger-S-M
4:Hamburger-M-Lt
5:Hamburger-M-T
6:Hamburger-M-M
7:Hamburger-L-Lt
8:Hamburger-L-T
9:Hamburger-L-M.
which equals 9 total.
Linear algebra is a branch of algebra that deals with the study of linear functions and their various representations. It is very similar to physics as deeply covers matrices and vectors.
Intermediate algebra is Algebra II. Some places even call it Algebra II. Algebra II briefly overviews various types of functions, like quadratic, linear, exponential, logarithmic, sine and cosine, tan, etc.
Linear algebra is specifically designed to cover linear functions.
Intermediate algebra or algebra II overviews all the types of functions.
Both are easy and fun. I suggest you take both. lol
Answer:
Clarissa will take 10 hours by herself
Step-by-step explanation:
Let s = time for shawna
s-5 = time for clarissa
The formula for determining the time is
1/a + 1/b = 1/c where a and b are the times alone and c is the time together
1/s + 1/(s-5) = 1/6
Multiply each side by 6s(s-5) to clear the fractions
6s(s-5) ( 1/s + 1/(s-5)) = 1/6 *6s(s-5)
Distribute
6(s-5) + 6s = s(s-5)
Distribute
6s -30 +6s = s^2 -5s
Combine like terms
12s -30 = s^2 -5s
Move everything to the right
0 = s^2 -5s -12s +30
0 = s^2 -17s +30
Factor
0 = ( s-15) (s-2)
Using the zero product property
s-15 =0 s-2 =0
s =15 s=2 ( This is not a reasonable answer since it is less than the time together)
s=15
s-5 = 10
Clarissa will take 10 hours by herself
Answer:
the prduct of 1/2*6/5 is bigger
Step-by-step explanation:
1/2 x 6/5 = 6/10 = 3/5
1/2 x 5/6 = 5/12