Answer:
x=12
Step-by-step explanation:
Simplifying
30 + 4x + 2 = 8 + 6x
Reorder the terms:
30 + 2 + 4x = 8 + 6x
Combine like terms: 30 + 2 = 32
32 + 4x = 8 + 6x
Solving
32 + 4x = 8 + 6x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-6x' to each side of the equation.
32 + 4x + -6x = 8 + 6x + -6x
Combine like terms: 4x + -6x = -2x
32 + -2x = 8 + 6x + -6x
Combine like terms: 6x + -6x = 0
32 + -2x = 8 + 0
32 + -2x = 8
Add '-32' to each side of the equation.
32 + -32 + -2x = 8 + -32
Combine like terms: 32 + -32 = 0
0 + -2x = 8 + -32
-2x = 8 + -32
Combine like terms: 8 + -32 = -24
-2x = -24
Divide each side by '-2'.
x = 12
Simplifying
x = 12
Well, remember
(ab)(cd)=abcd=(ac)(bd)
so
(8t^5)(8t^5)=(8)(t^5)(8)(t^5)=(8*8)(t^5*t^5)=64t^10
Answer:
143
Step-by-step explanation:
x-31=112
Add 31 to both sides,
x - 31 = 112
+31 +31
-31 and +31, cancel out so we're left with...
x = 143
Answer:
78mm^2
Step-by-step explanation:
based on the information given, we can tell that the shape of the MP3 player is a rectangle. The formula for the surface area of a rectangle is SA=2WL+2LH+2HW
SA = Surface Area
W = Width
L = Length
H = Height
SA = 2(4)(7) + 2(7)(1) + 2(1)(4)
= 2(28) + 2(7) + 2(4)
= 56 + 14 + 8
= 78
Answer:
y = 18.1x
; and y = 18x
Explanation:
The rate of change in Relationship B can be found by using the formula for slope:

Using the first two points, we have

We know that Relationship A has a lesser rate than this. The choices given for Relationship A are written in slope-intercept form, y=mx+b, where m is the slope and b is the y-intercept (in this case b = 0).
The slope of the first equation is 18.1; this is less than 18.25.
The slope of the second equation is 18.6; this is greater than 18.25.
The slope of the third equation is 18.3; this is greater than 18.25.
The slope of the fourth equation is 18; this is less than 18.25.