Answer:
x < 2
Step-by-step explanation:
8x -1 < 15
Add both side by 1 : 8x < 16
x < 16/8 => x < 2
Answer:
<em>Bert is 11 years old and Max is 17 years old.</em>
Step-by-step explanation:
<u>System of Equations</u>
To solve the system of equations, we use two variables x and y. Let's make:
x = current age of Max
y = current age of Bert
x - 5 = age of Max five years ago
y - 5 = age of Bert five years ago
x + 1 = age of Max one year from now
y + 1 = age of Bert one year from now
According to the conditions of the problem, five years ago, Max was twice as old as Bert, thus:
x - 5 = 2(y - 5) [1]
It's also known a year from now, the sum of their ages would be 30:
x + 1 + y + 1 = 30 [2]
Operating and simplifying [1]:
x - 5 = 2y - 10
x = 2y - 5 [3]
Operating and simplifying [2]:
x + y + 2 = 30
x + y = 28 [4]
Substituting [3] in [4]:
(2y - 5) + y = 28
Simplifying:
3y - 5 = 28
3y = 33
y = 33/3 = 11
y = 11
From [3]:
x = 2*11 - 5
x = 22 - 5 = 17
x = 17
Max is 17 years old and Bert is 11 years old
Answer:
<h2>y=50</h2>
Step-by-step explanation:
y/5=10
x everything by 5 to get y on its own
y=50
Answer:
Step-by-step explanation:
According to the problem, the hot-air ballon and the wind are movind in the same direction, which means the component form of the velocity of the ballon is the net vector between both velocities.
Basically, the net velocity is
Because both velocities have the same direction.
Assuming they are moving in a horizontal direction, the component of this velocity is
We have such equation
/*6 (multiply both sides by 6)
5x=20*6
5x=120 /:5 (divide both sides by 5)
x=24 - its the answer