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.
Answer:
Weight of Train A = 454 tons
Weight of Train B = 35 tons
Step-by-step explanation:
It is given that:
Let,
A represent weight of Train A
B represent weight of Train B
According to given information:
A + B = 489 Eqn 1
A - B = 419 Eqn 2
Adding Eqn 1 and 2
A + B + A - B = 489 + 419
2A = 908
Dividing both sides by 2
Putting A = 454 in Eqn 1
454 + B = 489
B = 489 - 454
B = 35
Therefore,
Weight of Train A = 454 tons
Weight of Train B = 35 tons
So close! But instead of adding the multiplication sign after the number you need to add them before. Good job though! :)
Answer:
The expression 5 × 2 = 10 means:
- 10 is 5 times as many as 2.
Step-by-step explanation:
Given the expression
From the expression, it is clear that we can determine that when we multiply 2 by 5 to get 10.
In other words, we can determine the value 10 by:
It means 10 is 5 times as many as 2.
Therefore, the expression 5 × 2 = 10 means:
- 10 is 5 times as many as 2.
Answer: A
Step-by-step explanation:
