Answer:
2 marbles
Step-by-step explanation:
Lana has 3 bags with x marbles in each bag totaling 12 marbles
3x=12
Divide by 3
3x/3 =12/3
x =4
Each bag has 4 marbles
Markus has 3 bags with y marbles totaling 18 marbles
3y =18
Divide each side by 3
3y/3 =18/3
y =6
Each bag has 6 marbles
6-4 =2
There are 2 more marbles in Markus' bags than in Lara's
Answer:
1/4
Step-by-step explanation:
Males: 3 units
Females: 1 unit
Total: 4 units
Females/Total: 1/4
Let's evaluate the ratio test:

The limit as
of this quantity is 3, which is more than 1. So, the series diverges.
Answer:
The generalisation she can make from her work is that the other two angles of the quadrilateral are supplementary i.e their sum is 180°
Step-by-step explanation:
We are given the following from what she knows
m∠3=2⋅m∠1... 1
m∠2=2⋅m∠4 ... 2
m∠2+m∠3=360 ... 3
From what is given, we can substitute equation 1 and 2 into equation 3 as shown:
From 3:
m∠2+m∠3=360
Substituting 1 and 2 we will have:
2⋅m∠4 + 2⋅m∠1 = 360
Factor out 2 from the left hand side of the equation
2(m∠4+m∠1) = 360
Divide both sides by 2
2(m∠4+m∠1)/2 = 360/2
m∠4+m∠1 = 180°
Since the sum of two supplementary angles is 180°, hence the generalisation she can make from her work is that the other two angles of the quadrilateral are supplementary i.e their sum is 180°