Simple Pythagorean theorem, And if you double check Tamara's work she is correct. Therefor B is the correct answer.
Steps to solve:
-4z + 4 + 12z = 3z + 4 + 5z
~Combine like terms
8z + 4 = 8z + 4
~Subtract 4 to both sides
8z = 8z
~Divide 8 to both sides
0 = 0
All real numbers are solutions.
Set builder notation: {x | R}
This is an identity since every value can be a solution to the equation.
Best of Luck!
The problem statement gives you the relationship between their speeds, and it gives you information you can use to find their total speed. You solve this by finding the total speed, then the proportion of that belonging to Bill.
The total speed is (120 mi)/(3 h) = 40 mi/h.
The speed ratio is ...
... Bill : Joe = 3 : 1
so the speed ratio Bill : Total is ...
... 3 : (3+1) = 3:4.
Bill's speed is (3/4)×(40 mi/h) = 30 mi/h.
Answer:
Lucas monthly net pay is $1758
Step-by-step explanation:
Lucas works for a salary of $2,396 per month.
His deductions include $360 of federal income tax,
$148 for Social Security,
$35 for Medicare, and
a $95 insurance premium.
Now,
2396 - 360 - 148 - 35 - 95 = 1758
Thus, Lucas monthly net pay is $1758
<u>-TheUnknownScientist</u>
