Answer:
50 boxes
Step-by-step explanation:
first we can find how many apples there are
42*12=504
then subtract 4 of the rotten apples
504-4=500
then find how many boxes there can be
500/10=50
Yes it did occur it was just a very long time ago. As the earth grew and developed the countries separated and that is why they are spread all over the world now. Hope this helps.
Answer:
+1.12 and -1.12
Step-by-step explanation:
Let the two z scores be 
.
Since the two Z-scores that separate the middle 73.72% on the Standard Normal Curve, this can be represented by the equation:
From the z table of the normal distribution, z₁ = 1.12. That is a z score of 1.12 gives 0.8686.
The two z scores are +1.12 and -1.12 = ± 1.12
Answer:
P(3 , 0)
Step-by-step explanation:
(x₁, y₁) = A(-3,-3) ;(x₂ , y₂) B(5, 1)
m : n = 3 : 1
Answer:
1. Consistent equations
x + y = 3
x + 2·y = 5
2. Dependent equations
3·x + 2·y = 6
6·x + 4·y = 12
3. Equivalent equations
9·x - 12·y = 6
3·x - 4·y = 2
4. Inconsistent equations
x + 2 = 4 and x + 2 = 6
5. Independent equations
y = -8·x + 4
8·x + 4·y = 0
6. No solution
4 = 2
7. One solution
3·x + 5 = 11
x = 2
Step-by-step explanation:
1. Consistent equations
A consistent equation is one that has a solution, that is there exist a complete set of solution of the unknown values that resolves all the equations in the system.
x + y = 3
x + 2·y = 5
2. Dependent equations
A dependent system of equations consist of the equation of a line presented in two alternate forms, leading to the existence of an infinite number of solutions.
3·x + 2·y = 6
6·x + 4·y = 12
3. Equivalent equations
These are equations with the same roots or solution
e.g. 9·x - 12·y = 6
3·x - 4·y = 2
4. Inconsistent equations
Inconsistent equations are equations that are not solvable based on the provided set of values in the equations
e.g. x + 2 = 4 and x + 2 = 6
5. Independent equations
An independent equation is an equation within a system of equation, that is not derivable based on the other equations
y = -8·x + 4
8·x + 4·y = 0
6. No solution
No solution indicates that the solution is not in existence
Example, 4 = 2
7. One solution
This is an equation that has exactly one solution
Example 3·x + 5 = 11
x = 2
