Answer:
a. $27
b. $9
Step-by-step explanation:
The yearly premium on their homeowner's insurance policy is $450 for the coverage they need.
Their insurance company offers a discount of 6 percent if they install dead-bolt locks on all exterior doors.The couple can also receive a discount of 2 percent if they install smoke detectors on each floor.
a. What discount will Dave and Ellen receive if they install the dead-bolt locks?
dollars
b. What discount will Dave and Ellen receive if they install smoke detectors?
dollars
WX and ZY make up the legs, as illustrated in the diagram.
Since it is an isosceles trapezoid, the legs are congruent; that means
6<em>x</em> + 5 = 8<em>x</em> - 3
When solving this equation, we do not want a variable on both sides. We will cancel the 6<em>x</em> to avoid negatives:
6<em>x</em> + 5 - 6<em>x</em> = 8<em>x</em> - 3 - 6<em>x</em>
5 = 8<em>x</em> - 3 - 6<em>x</em>
Combine like terms:
5 = 2<em>x</em> - 3
Cancel the 3 by adding:
5 + 3 = 2<em /><em>x</em> - 3 + 3
8 = 2<em>x</em>
Cancel the 2 by dividing:
8/2 = 2<em>x</em>/2
4 = <em>x</em><em />
2 x 5
2+2+2+2+2= 10
2 x 5= 10
