4|y-9| > 36
Two equations:
4(y-9)>36 then y-9>8 then y>17
4(y-9)<-36 then y-9<-8 then y<1
So, the solution is y<1 or y>17
0.5|x+2| > 6
Two equations:
0.5(x+2) > 6 then 0.5x+1>6 then x>10
0.5(x+2) < -6 then 0.5x+1<-6 then x<-14
So, the solution is: x<-14 or x>10
Answer:
8persons/group
Step-by-step explanation:
Give parameters:
Number fourth graders = 24
Number of groups = 3 groups
Unknown:
Number of students in each group = ?
Solution:
Solving this problem involves finding the number of persons per group.
Number of persons per group =
Insert the parameters and solve;
Number of persons per group =
= 8persons/group
Answer:
Proportion states that the two equal ratios or fractions are equal.
Use conversion:
1 m = 100 cm
As per the statement:
The actual width ( w) of a regulation soccer field is 90 meters (m), and the actual length is 120 meters (m
⇒Actual length = 120 m and Actual width = 90 m
It is also given that:
A coach has drawn a scale model of the field on a blackboard. If the longest side of his drawing is 18 cm.
⇒ Drawing length = 18 cm = 0.18 m
By definition of proportion:

Substitute the given values we have;

By cross multiply we have;

Simplify:

Divide both sides by 120 we get;
m
Or
cm
Therefore, the other side of the drawing width is 13.5 cm
16 2/3%. 72 minus 60 is 12, then 12/72 is .16666667, then move the decimal place two spots to the right, getting 16.66666667%, remembering that .66 repeating is in fact better represented as 2/3, so 16 2/3%
Given that the heptagon has a interior angles sum of 900, the 3 angles is 900 - 478 = 422 degree.