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:
How did the concept of total war affect the warring nations economies? The concept of total war can both destroy and help a warring countries economy. The warring country will see an increase in jobs and work because of bring at war, but if they lose the war the economy is devastated.
It is the c my man okeeee??
Answer: The answer is provided below.
Step-by-step explanation:
A rhombus has 4 equal sides, therefore, since the perimeter is 80 inches, that means each side is 20 inches.
The diagonals of a rhombus bisect one another perpendicularly, so that means there are 4 congruent right triangles that are formed.
Looking at one right triangle, we can see that the side of the rhombus will be the hypotenuse which is 20 inches. One leg is also half the longer diagonal of 16 inches.
Using Pythagorean Theorem, this will be:
x² + 16² = 20²
x² + 256 = 400
x² = 144
x = 12
Since the figure gotten is half of the shorter diagonal, then the full length of the shorter diagonal will be (12×2) = 24 inches.
