It's rational because it contains a repeating digit pattern, 743 (first option).
In particular, if
<em>x</em> = -6.743743…,
then
1000<em>x</em> = -6,743.743743… .
Subtracting, we can eliminate the trailing end and solve for <em>x</em> exactly:
1000<em>x</em> - <em>x</em> = -6,743.743743… - (-6.743743…)
999<em>x</em> = -6,737
<em>x</em> = -6,737/999
We can use the equation 45m < 481
we can replace m to see where it caps.
and the cap is 10.
we can replace m to check our work
45(10) < 481
450 < 481
if you add another student, it would go over the limit.
hope this helps :D
X = 8.5 because 8.5 x 2 = 17 and 17 + 1 = 18
Sorry i cant help you sorry
Answer:
Yes, because the bike order meets the restrictions of 4c + 6a ≤ 120 and 4c + 4a ≤ 100
Step-by-step explanation:
4c + 6a ≤ 120:
You can set up the inequality 4c + 6a ≤ 120, because it takes 4 hours to build per child bike (c) and 6 hours to build an adult bike (a), all together this time cannot surpass 120 hours. That is why you use the 'less than or equal to' sign.
4c + 4a ≤ 100:
You can then set up the inequality 4c + 4a ≤ 100, because it takes 4 hours to test a child bike (c) and 4 hours to test an adult bike (a). Since 100 hours is the max amount of time they can use to test out bikes, you will use the 'less than or equal to' sign.
4(5) + 6(15) = 20 + 90 = 110. 110 is less than 120
4(5) + 4(15) = 20 + 60 = 80. 80 is less than 100
Yes, because the bike order meets the restrictions of 4c + 6a ≤ 120 and 4c + 4a ≤ 100
