Answer:
Closure Property of Addition
Step-by-step explanation:
Answer:
14 ways in all.
Step-by-step explanation:
A. If you use 2 quarters, you have to make the remaining 15� with either no
dimes or 1 dime and the rest in nickels.
That's 2 ways.
B. If you use 1 quarter, you have to make the remaining 40� with either no
dimes, 1 dime, 2 dimes, 3 dimes or 4 dimes and the rest, if any, in nickels.
That's 5 more ways.
C. If you don't use any quarters, you have to make the entire 65� with either
0, 1, 2, 3, 4, 5 or 6 dimes and the rest in nickels.
That's 7 more ways. 2+5+7 = 14 ways in all.
Option B, (x+4)(x^2-4x+16)
Answer: here is your steps Simplifying
8x + -37 = 5x + 17
Reorder the terms:
-37 + 8x = 5x + 17
Reorder the terms:
-37 + 8x = 17 + 5x
Solving
-37 + 8x = 17 + 5x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-5x' to each side of the equation.
-37 + 8x + -5x = 17 + 5x + -5x
Combine like terms: 8x + -5x = 3x
-37 + 3x = 17 + 5x + -5x
Combine like terms: 5x + -5x = 0
-37 + 3x = 17 + 0
-37 + 3x = 17
Add '37' to each side of the equation.
-37 + 37 + 3x = 17 + 37
Combine like terms: -37 + 37 = 0
0 + 3x = 17 + 37
3x = 17 + 37
Combine like terms: 17 + 37 = 54
3x = 54
Divide each side by '3'.
x = 18
Simplifying
x = 18
Step-by-step explanation:
Addition property of equality
Division property of equality
<em><u>Solution:</u></em>
<em><u>Given inequality is:</u></em>
3x - 2 > 4
Here, Addition property of equality is used
When the same amount is added to both sides of an inequality, then the inequality is still true
3x - 2 + 2 > 4 + 2
3x > 6
Here, Division property of equality is used
When we divide both sides of an equation by the same nonzero number, the sides remain equal.
Thus the property used in each step of solving the inequality is found
