(x+4) / 44.8 = 35 / 56
56(x+4) = 35(44.8)
56x + 224 = 1568
56x = 1344
x = 24
answer
x = 24 mm
Answer:
x = 4.167
Step-by-step explanation:
8x - 14 = 2x + 11 add 14 to 14
8x = 2x + 25 subtract 2x to 2x and 8x
6x = 25 divide by 6
x= 4.167 repeating
Answer:
Plan C
Step-by-step explanation:
Complete the table first:
To find the number of weeks for each amount of $ to save, divide $500 by the amount.
Plan B: $500/$30 = 16.7 weeks, rounded to 17 weeks
Plan C: $500/$40 = 12.5 weeks, rounded to 13 weeks
Plan D: $500/$50 = 10 weeks
Save $500 in less than 16 weeks with $20 extra:
Which plans need less than 16 weeks?
Plans C and D.
Check the amount of money Plan C gives:
In 13 weeks, how much extra money does this plan give?
Extra money = Total - $500
The total money is 13 weeks * $40 = $520
$520 - $500 = $20 in extra money
Therefore Plan C gives Todd $500 in less than 16 weeks, with $20 extra.
Answer:
Finally, substitute AB = 6 and BC = 18 - 2AC in
AB + AC > BC 3rd Triangle Inequality condition
6 + AC > 18 - 2AC
-12 > -3AC
4 < AC
AC > 4
So putting all three results together
AC < 12, AC < 8, and AC > 4
Since AC is less than 8, it's automatically less than 12,
so we can dispense with AC < 12. So we have:
AC < 8 and AC > 4 which can be combined and written as
4 < AC < 8 [that is, AC is between 4 and 8]
