Answer:
The multiplicative inverse is -5/3
Step-by-step explanation:
Multiplicative inverse means we want to end up with 1
-3/5 * what =1
Multiply by 5 to clear the fraction
-3/5 * what *5 = 1*5
-3 * what = 5
Divide by -3 to isolate what
-3*what /-3 = 5/-3
what = -5/3
The multiplicative inverse is -5/3
Answer:
9 beads are purple
Step-by-step explanation:
we know that
To find out how many beads are purple, multiply the total beads by the fraction of the beads that are purple
so
therefore
9 beads are purple
Another way to solve the problem is convert the fraction in percentage
we have
so
If the total are 18 beads
50% is 9 beads
therefore
9 beads are purple
Answer:
X = 32 meters.
Step-by-step explanation:
- Let the unknown distance be X.
<u>Given the following data;</u>
- Distance = 8 meters per hour
- Time = 4 hours
To find how many meters he would cover in four hours;
1 hour = 8 meters
4 hours = X meters
Cross-multiplying, we have;
X = 8 * 4
<em>X = 32 meters.</em>
Answer:
See below.
Step-by-step explanation:
Fifth root of 243 = 3,
Suppose r( cos Ф + i sinФ) is the fifth root of 243(cos 240 + i sin 240),
then r^5( cos Ф + i sin Ф )^5 = 243(cos 240 + i sin 240).
Equating equal parts and using de Moivre's theorem:
r^5 =243 and cos 5Ф + i sin 5Ф = cos 240 + i sin 240
r = 3 and 5Ф = 240 +360p so Ф = 48 + 72p
So Ф = 48, 120, 192, 264, 336 for 48 ≤ Ф < 360
So there are 5 distinct solutions given by:
3(cos 48 + i sin 48),
3(cos 120 + i sin 120),
3(cos 192 + i sin 192),
3(cos 264 + i sin 264),
3(cos 336 + i sin 336).. (Answer).
