Answer:
E) 1 and 2
Step-by-step explanation:
We are given that there are two integers (s and t) and they are factors of another integer (n). For example if s = 3 and t = 2, we can have n = 6.
Thus:
n^(st) = 6^(2*3) = 6^6 = (2^6)(3^6)
For the first condition: s^t = 3^2 is a factor of (2^6)(3^6)
For the second condition: (st)^2 = (3*2)^2 = 6^2 is a factor of 6^6
For the third condition: s+t = 3+2 = 5 is not a factor of 6^6 or (2^6)(3^6)
Therefore, only 1 and 2 are factors of n^(st)
Answer:
x= -1
Step-by-step explanation:
<u><em>START</em></u> 29 - 6x = 5(1 - 6x)
1. Distribute
29 - 6x = 5 - 30x
2. Isolate the variable
~ <u>2a</u>. Add 30x to both sides
29 - 6x + 30x = 5 - 30x + 30x
~ <u>2b</u>. Subtract 29 from both sides
29 - 29 - 6x + 30x = 5 - 29 - 30x + 30x
3. Simplify
24x = -24
4. Solve
x = -1
<em><u>END</u></em>
Answer:
Number of small cups of lemonade that was sold by Ashley = 98
Number of large cups of lemonade that was sold by Ashley = 57
Step-by-step explanation:
Let x = number of small cups of lemonade that was sold by Ashley.
Let y = number of large cups of lemonade that was sold by Ashley.
x small cups of lemonade was sold for $1.25 and y large cups of lemonade was sold for $2.50. The total cost was $265. This means
1.25x + 2.5y = 265 - - - - - - -1
Ashley sold a total of 155 small and large cups of lemonade. This means
x + y = 155 - - - - - -2
Substituting x = 155-y into equation 1,
It becomes
1.25(155-y) + 2.5y = 265
-1.25y + 2.5y = 265
- 1.25y + 2.5y = 265 -193.75
1.25y = 71.25
y = 71.25/1.25
y = 57
x = 155-y = 155-57
x = 98
Answer:
I'm not sure if you meant to capitalize the first "x". If you did, then the correct answer is:
Xx+4X+5x+20
If you didn't, the answer is:
x^2+5x+20
Work:
1) X*x=Xx
2) X*4=4X
3) 5*x=5x
4) 5*4=20
