Answer:
= 11/3
Step-by-step explanation:
1. COMBINE MULTIPLIED TERMS INTO A SINGLE FRACTION
- 7/3 (3x-2)= -21
-7 (3x-2) = -21
-----------------------
3
2. DISTRIBUTE
-7( 3x- 2) ➗ 3 =-21
3. MULTIPLY ALL TERMS BY THE SAME VALUE TO ELIMINATE FRACTION DENOMINATORS
-21x + 14 ➗ 3 = 3 (-21)
4. CANCEL MULTIPLIED TERMS THAT ARE IN THE DENOMINATOR
3 ( -21x + 14) ➗ 3 (-21)
5. MULIPLY THE NUMBERS
-21x + 14 = 3(-21)
6. SUBTRACT 14 FROM BOTH SIDES OF THE EQUATION
-21x + 14 = -63
7. SIMPLIFY
-21x = - 77
8. DIVIDE BOTH SIDES OF THE EQUATION BY THE SAME TERM
-21x/-21 = -77/-21
9. SIMPLIFY
x = 11/3
50 yards for 1 lap
50 yards x 18 laps = 900 total yards
now divide the amount he swam by the total amount he wants to swim:
738 / 900 = 0.82 = 82%
Answer is B
yo sup??
the sum of trails taken should be less than 25 miles
Black bear=B
Eagle Ridge=E
Doe Run=D
(btw names sound cool XD)
we will now try different combinations
B+E=7 1/2 ++ 10 1/4 which is clearly less than 25
B+D=7 1/2 + 8 3/4 which also less than 25
E+D=10 1/4 + 8 3/4 which is also less than 25
B+D+E=7 1/2 + 10 1/4 + 8 3/4 which is greater than 25
Therefore only the 1st,2nd and 3rd case are possible
Hope this helps.
Answer:

Explanation:
All the other expressions can be factorized. Let's see why:
1) 
This is the sum of the cubes, and this can be factorized as follows:

In this case, a=m and b=1, so we can factorize as

2) 
This is the difference between two cubes, and this can be factorized as follows:

In this case, a=m and b=1, so we can factorize as

3) 
This is the difference between two square numbers, and it can be factorized as follows

In this case, a=m and b=1, so we can factorize as

Answer:
-5n²-8n+4
Step-by-step explanation:
Remove Parentheses :
3n²-5n+6 - 8n²-3n-2
Collect/Combine Like terms:
(3n²-8n²) + (-5n-3n) +(6-2)
Simplify:
-5n²-8n+4