6^(8x) = 4
log 6^(8x) = log 4
8x log 6 = log 4
x = log 4 / 8log 6 = 0.10 to two decimal places.
Answer:
$95, $115, $135, $155
Step-by-step explanation:
If the first person gets x dollars:
the next person gets 20 more, so x + 20 dollars
the next person gets x + 40 dollars
and the last person gets x + 60 dollars
We add all these allocations together, and we get $500
x + (x + 20) + (x + 40) + (x + 60) = 500
Combine like terms
4x + 120 = 500
Subtract 120 on both sides
4x = 380
Divide by 4 on both sides
x = 95
So the first person gets $95.
The second person must get $115
The third must get $135
And the fourth must get $155
Checking our work:
95 + 115 + 135 + 155 = 500
Answer:
8 inches
Step-by-step explanation:
Oliver rolls his ball 1/9th of the distance Fabienne rolls his, so just divide 72 by 9 to get your answer.
Answer:
A. length = 23 cm; width = 5 cm
Step-by-step explanation:
So if 4 times the width would be 
and 3 more than would be 
, the equation would be 
. If the perimeter is 56, then the new equation, 
can be formed. This simplifies to 
, then to 
, then to 
, and finally, 
. So the width is 5, and now plug it into the first equation.
, becomes 
, becomes 
.
So the dimensions are: length = 23 cm, width = 5 cm.
*And just to be sure, 
which is correct.
