Answer:
x < 4
Step-by-step explanation:
3/4(x+8)>1/2(2x+10) (multiply both sides by 4)
(4)(3/4)(x+8)>(4)(1/2)(2x+10)
3(x+8)>2 (2x+10) (expand parentheses by distribution property)
x(3)+8(3)>(2x)(2)+10(2)
3x+24>4x+20 (subtract 3x from both sides)
3x+24 - 3x > 4x+20- 3x
24 > x+20 (subtract 20 from both sides)
24 - 20 > x + 20 - 20
4 > x (rearrange)
x < 4
Answer: B. Parent's marital status
The sociology is the study of different aspects of the human society. An explanatory variable is the one which can explain a particular condition or attribute in a study. In the given study the parent's marital status is the explanatory variable. The parent's marital status can influence the married life of their children. The children can be either satisfied or unsatisfied by their marriage because of the influence of the parents. For example, if the parent is single divorced or widow the parent may likely to interfere in the life of the married children in decision making and this likely to cause disputes between the married couple.
Answer:
7 7/8
Step-by-step explanation:
-3/2 * -5 1/4
= 7 7/8
(Decimal: 7.875)
Answer:
d. 
Step-by-step explanation:
This is a 45-45-90 right triangle with a Pythagorean triple of (x, x, x√2). Because this is a 45-45-90, both legs have the same measure, namely 8. Therefore, according to the Pythagorean triple, x = 8 (NOT the x in your diagram...the x in the Pythagorean triple). That means that the hypotenuse has a measure of
, which is d.
Distribute.
n(n+3)
Answer : n^2+3n