Answer:
Step-by-step explanation:
Let A = Adam, B = Betty
Adam and Betty purchased a printer together for $258.
This means we can say A + B = 258.
We are also told Adam paid $18 less than twice Betty.
You can write this as:
Adam = 2 x Betty - 18
A = 2B - 18
Substitute "A" into the A + B equation and you get:
A + B = 258
2B - 18 + B = 258
3B - 18 = 258
Add 18 to both sides.
3B = 258 + 18
3B = 276
Divide both sides by 3 to find B
B = 276/3 = 92 (This means Betty paid $92).
Since the total that they paid together was $258.
This means Adam pays the Total - How much Betty paid
Adam = 258 - 92 = $166
Answer:
C. 
Step-by-step explanation:
The ratio of the corresponding sides of a polygon is said to be equal. The ratio gives us the scale factor.
Therefore, assuming that quadrilateral QRST was the original polygon that was scaled up to give a similar polygon, EDGF, the scale factor would be expressed as 
The scale factor = 
<span>65 = number of different arrangements of 2 and 3 card pages such that the total number of card slots equals 18. 416,154,290,872,320,000 = number of different ways of arranging 18 cards on the above 65 different arrangements of page sizes. ===== This is a rather badly worded question in that some assumptions aren't mentioned. The assumptions being: 1. The card's are not interchangeable. So number of possible permutations of the 18 cards is 18!. 2. That all of the pages must be filled. Since the least common multiple of 2 and 3 is 6, that means that 2 pages of 3 cards can only be interchanged with 3 pages of 2 cards. So with that said, we have the following configurations. 6x3 card pages. Only 1 possible configuration. 4x3 cards and 3x2 cards. These pages can be arranged in 7!/4!3! = 35 different ways. 2x3 cards and 6x2 cards. These pages can be arranged in 8!/2!6! = 28 ways 9x2 card pages. These can only be arranged in 1 way. So the total number of possible pages and the orders in which that they can be arranged is 1+35+28+1 = 65 possible combinations. Now for each of those 65 possible ways of placing 2 and 3 card pages such that the total number of card spaces is 18 has to be multiplied by the number of possible ways to arrange 18 cards which is 18! = 6402373705728000. So the total amount of arranging those cards is 6402373705728000 * 65 = 416,154,290,872,320,000</span>
When you regroup you are basically breaking down the problem.
You would do 60 + 40=?
Then you would do 4 + 3= ?
Your answer would come out to 107
Answer:
a.
x + y = 60
x = y + 30
b.
substitution:
(y + 30) = y = 60
2y + 30 = 60
2y = 30
y = 15
15 minutes for freehand
c.
No, because if he spends 40 minutes on the treadmill, he would have spent 10 minutes for freehand exercises. His total time in the gym would be 50 minutes, not 60.
