Answer:
The smallest positive integer solution to the given system of congruences is 30.
Step-by-step explanation:
The given system of congruences is
where, m and n are positive integers.
It means, if the number divided by 5, then remainder is 0 and if the same number is divided by 11, then the remainder is 8. It can be defined as
Now, we can say that m>n because m and n are positive integers.
For n=1,
19 is not divisible by 5 so m is not an integer for n=1.
For n=2,
The value of m is 6 and the value of n is 2. So the smallest positive integer solution to the given system of congruences is
Therefore the smallest positive integer solution to the given system of congruences is 30.
9514 1404 393
Answer:
(a) 231°
Step-by-step explanation:
arc WYZ = arc WX + arc XYZ
arc WYZ = 51° +180° . . . . . XZ is a diameter, substitute known arc measures
arc WYZ = 231°
Answer:
IMAOOOOOO that happens to me all the time one time I was trying to ask a
question and it said that the phrase "PLZ HELP ME ASAP THIS IS DUE IN 10 MINUTES" was offensive like. HOW????
Step-by-step explanation:
it can be stup1d sometimes
Answer:
10.8 gallons
Step-by-step explanation:
First change everything to inches:
2.75 ft = 33 in
1.5 ft = 18 in
Volume of tank = lwh = (33)(18)(7) = 4158 in³
The tank is 40% full, so only 60% is need to fill it. To find 60%, multiply 4158 by 0.6 = 2494.8 in³
Now find out how much 2494.8 in³ is in gallons:
231 in³ = 1 gallon
1 in³ = 1/231 gallons
2494.8 = (1/231)(2494.8) gallons = 10.8 gallons
