PN = PM
6x + 1 = 10x - 17
Add both sides 17
6x + 1 + 17 = 10x - 17 + 17
6x + 18 = 10x
Subtract both sides 6x
6x - 6x + 18 = 10x - 6x
18 = 4x
Divide both sides by 4
18 ÷ 4 = 4x ÷ 4
9/2 = x
x = 9/2
___________________________
QN = 2x + 5
QN = 2 × ( 9/2 ) + 5
QN = 9 + 5
QN = 14
Given:
The expression is
To find:
The expression in repeated multiplication form and then write the expression as a power.
Solution:
We have,
The repeated multiplication form of this expression is
![=[(-8)\cdot (-8)\cdot (-8)]\cdot [(-8)\cdot (-8)\cdot (-8)\cdot (-8)]](https://tex.z-dn.net/?f=%3D%5B%28-8%29%5Ccdot%20%28-8%29%5Ccdot%20%28-8%29%5D%5Ccdot%20%5B%28-8%29%5Ccdot%20%28-8%29%5Ccdot%20%28-8%29%5Ccdot%20%28-8%29%5D)
Clearly, (-8) is multiplied seven times by itself. So,
Therefore, the repeated multiplication form of the given expression is 
and the expression as single power is 
.
To convert the value from inches to yards, we need a conversion factor to multiply it to the value that will equate it to yards. From a conversion table, we see that 1 inch is equal to 0.02778 yards. We multiply this value.
16.7 inches ( 0.02778 yards / 1 inch ) = 0.464 yards = 4.6 x 10^-1 yards
The answer is D because, as decimals, 4 1/3 would be 4.33(a repeating decimal) and 4 3/5 would be 4.6, and 4.4 is between those two numbers. I hope this helps.
There is only one solution that satisfies the equation.
14x = 24
x = 24/14 = 12/7
