Answer:

Step-by-step explanation:
Six times a number is decreased by fourteen, the result is 124.
Write an equation that represents this
(6 * x) - 14 = 124
Multiply 6 by x to remove the parenthesis
6x - 14 = 124
Add 14 to both sides of the equation
6x = 138
Divide both sides of the equation by 6
x = 23
The unknown number is 
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is the expression that includes an exponent and has a value of 8
<em><u>Solution:</u></em>
Given that, Use the number 8, 6, and 2 and one operation to write an expression that includes an exponent and has a value of 8
We have to use each number only once
Given numbers are 8, 6, 2
Our expression should include exponent and the result should be 8
Among 6 and 2 we can use 2 for exponent
Raise 2 to power of 1
<em><u>The expression becomes:</u></em>

Here we have used one operation, that is addition
Verifying the expression

Thus the required expression is found
(6^-2)^2
When you have a number raised to a power inside parenthesis and then it is raised to another power, to simplify, multiply the two powers together:
-2 x 2 = -4
Simplified is 6^-4
Answer:
x =7
Step-by-step explanation:
Solve for x:
5 x - 10 + 65 = 90
Add like terms. 65 - 10 = 55:
5 x + 55 = 90
Subtract 55 from both sides:
5 x + (55 - 55) = 90 - 55
55 - 55 = 0:
5 x = 90 - 55
90 - 55 = 35:
5 x = 35
Divide both sides of 5 x = 35 by 5:
(5 x)/5 = 35/5
5/5 = 1:
x = 35/5
The gcd of 35 and 5 is 5, so 35/5 = (5×7)/(5×1) = 5/5×7 = 7:
Answer: x = 7