A is not always true. Compare -10 and 3. Minus 10 is smaller than 3 even though -10 has a larger absolute value. Remember, integers include - minus numbers.
B is another way of saying what I just said for A
C is not always true. Use -3 and -10 The absolute values are 3 and 10. But -3 is larger than - 10. This is kind of sneaky. You have to try this for yourself a couple of times.
D. No! Another counterexample is 3 and 10. The absolute value of 3 and 10 is 3 and 10. These two are positive, and the example does not make D true. All you need is one exception to make something false.
Step-by-step explanation:
=((5m+6)(m−7)(5m+6))(m)+((5m+6)(m−7)(5m+6))(−7)
=25m4−115m3−384m2−252m−175m3+805m2+2688m+1764
=25m4−290m3+421m2+2436m+1764
6 1/2 x 1 8/13
13/2 x 21/13 = 273/26 = 10 1/2
The answer is C, 10 1/2.
Answer:
see below
Step-by-step explanation:
The trip takes 2 hours
Stopping every half hour means stopping at 30 minutes, 1 hour, 1.5 hours
We would not stop at 2 hours because we would be done.
One the number line R means rest stops
200 Km /4 means at 50 km, 100 km 150 km and 200 km
The rest stops are at 50 km 100 km 150 km (the one at 200 is at the end of the trip so it is not a rest stop
We have to stop for gas 3/4 of the way
200 *3/4 = 150 km
We will stop for gas at a rest stop at 150 km
Answer:
The LCM, or least common multiple, of 6 and 8 is 24.