30=8+4(z-2)
Distribute 4 through the parentheses
30=8+4z-8
Eliminate the opposites
30=4z
Swap the sides of the equation
4z=30
Divide both sides of the equation by 4
4z÷4=30÷4
Any expression divided by itself equals 1
z=30÷4
or write the division as a fraction
z=30/4
copy the numerator and denominator of the fraction
30=2x3x5
4=2x2
Write the prime factorization of 30
Write the prime factorization of 4
30=2 x3x5
4=2x2
2
Line up the common factors in both lists
Copy the common factors
Since there is only one common factor, the common factor 2 is also the greatest common factor
30÷2/4÷2
2
Divide 30 and 4 by the greatest common factor 2
15/4÷2
Divide the numbers in the numerator
15/2
Divide the numbers in the denominator
15/2
The simplified expression is 15/2
That's it. hope it wasn't too hard to understand?
Answer:
a > c
Step-by-step explanation:
The Transitive Property of Inequality can be written as ...
If a > b and b > c, then a > c.
Based on the above, we can conclude from your premises that a > c.
Answer:
= 8
= 6
Therefore the co-ordinate of the center of mass is = 
Step-by-step explanation:
Center of mass: Center of mass of an object is a point on the object. Center of mass is the average position of the system.
Center of mass of a triangle is the centriod of a triangle.
Given that m₁= 4, m₂=3, m₃=3 and the points are P₁(2,-3), P₂(-3,1) and P₃(3,5)
= ∑(mass × x-co-ordinate)
= ∑(mass × y-co-ordinate)
Therefore
= (4×2)+{3×(-3)}+(3×3)
=8
= {4×(-3)}+{3×1}+(3×5)
=6
The x co-ordinate of the center of mass is the ratio of to the total mass.
The y co-ordinate of the center of mass is the ratio of to the total mass.
Total mass (m) = m₁+ m₂+ m₃
= 4+3+3
=10
The x co-ordinate of the center of mass is 
The y co-ordinate of the center of mass is 
Therefore the co-ordinate of the center of mass is =
Answer:
Yes
Step-by-step explanation:
(x,y)
Since all the domains (x) are different, this set of number is a function. In a function, the range (y), can repeat.
Answer: Robert ran faster than Jocab
Step-by-step explanation:
Convert the improper fraction to a proper fraction
Jocab = 5miles in 1 1/2 hours, therefore, 1 1/2 hours = 3/2 hours, to convert to minute will be 3/2 x 60 = 90 minutes
Robert = 3 miles in 3/4 hours = 45 minutes
If Robert runs 3 miles in 45 minutes, by the end of 90minutes, Robert would have covered 6miles, while Jocab covered 5miles in 90 minutes, therefore, Robert ran faster than Jocab.
