The algebraic expression for given statement is: 10x + 25 or 3(x + 4) + (7x + 13)
<em><u>Solution:</u></em>
Given the statement:
Three sets of a sum of a number and four are added to the sum of seven times the same number and thirteen
Let us first understand the given statement,
Let the number be "x"
" sum of a number and four" means x + 4
"Three sets of a sum of a number and four" translated to 3(x + 4)
"sum of seven times the same number and thirteen" means 7x + 13
<em><u>Thus the algebraic expression for given statement is:</u></em>

<em><u>Using distributive property in above expression</u></em>

Therefore,

<em><u>Combine the like terms</u></em>

Thus the required expression for given statement is: 10x + 25 or 3(x + 4) + (7x + 13)
Answer:
The inequality
have a dashed line
Step-by-step explanation:
we have

The solution of this inequality is the shaded area below the dashed line
The equation of the dashed line is 
The slope of the dashed line is positive
The y-intercept of the dashed line is -5 ---> point (0,-5)
The x-intercept of the dashed line is x=3 ----> point (3,0)
Graph the solution
see the attached figure
Step-by-step explanation:
Let base of triangle be x m.
Therefore, altitude =( x + 2)m

Therefore
Altitude = 10 m
Base = 8 m
Answer:
x=-14/3
Step-by-step explanation:
3x+5=-9
3x=-9-5
3x=-14
x=-14/3