Answer:
61
Step-by-step explanation:
(7 + 5) + 4 * 13 - 2
~Simplify using PEMDAS
12 + 4 * 13 - 2
12 + 52 - 3
64 - 3
61
Best of Luck~
Answer:
-33 or 33
Step-by-step explanation:
The seventh term of an AP is written as:

The eleventh term of an AP is written as:

If the 7th term is 11 times the 11th term, then;

Expand to get:





We must have a=-52 and d=5
Or
a=52 and d=-5
For the first case, the 18th term is :

For the second case,

Answer:
<u>For the system of equations given, x = 0</u>
Step-by-step explanation:
<u>1. Let's solve the system of equations to find out the value of x:</u>
1st equation:
x+ 2y = 6
x = 6 - 2y (Subtracting 2y at both sides)
2nd equation:
6y = x + 18
Replacing x with the result of the 1st equation:
6y = (6 - 2y) + 18
6y = 6 - 2y + 18
6y + 2y = 18 + 6 (Adding 2y at both sides)
8y = 24
<u>y = 24/8 = 3</u> (Dividing by 8 at both sides)
Now we can find out the value of x:
x + 2y = 6
x + 2 * 3 = 6
x = 6 - 6 (Subtracting 6 at both sides)
<u>x = 0</u>
3. Let's prove that x = 0 and y = 3 in the 2nd equation:
6y = x + 18
6 * 3 = 0 + 18
<u>18 = 18</u>
<u>We proved that x = 0 and y = 3 are correct.</u>
Answer : The speed of both planes is 61.25 mph and 18.75 mph respectively.
Explanation:
Let the speed of first plane be x mph
Let the speed of second plane be y mph
Since we have given that difference of speeds is 80 mph
i.e. x - y= 80 (
1)
Distance between two planes = 3400 miles
As they are flying towards each other i.e. they are in the opposite direction.
So, Relative speed will be the sum of their speeds i.e.
Relative speed = x + y
And we know speed = 
Speed= 
⇒ Speed = 42.5 mph
Hence, Relative speed becomes 42.5 mph
⇒ x+y=42.5 (
2)
Now, by using the elimination method of solving the system of equation, we have ,
x= 61.25 mph
and y = 18.75 mph