Answer:
117.99
Step-by-step explanation:
First step is to find the discount
Discount = original price * discount rate
= 135 * 20%
= 135*.20
=27
Take the discount from the original price and that is the new price
new price = original price - discount
= 135-27
=108
Now we need to find the tax
tax = new price * tax rate
= 108 * 9.25%
= 108 * .0925
=9.99
The final price is the new price plus the tax
final price = new price + tax
= 108+9.99
=117.99
X=Elinor´s age today.
y=Mother´s age today.
(x+15)=Elinor´s age after 15 years.
(y+15)=Mohter´s age after 15 years.
We can suggest this systemen of equations:
x/y=3/8 ⇒x=3y/8
(x+15)/(y+15)=6/11 ⇒11(x+15)=6(y+15)
Finally, we´ll have the following system:
x=3y/8
11(x+15)=6(y+15)
We can solve this system of equations by substitution method:
11[(3y/8)+15)=6(y+15)
11[(3y+120)/8)=6y+90
33y+1320=8(6y+90)
33y+1320=48y+720
33y-48y=720-1320
-15y=-600
y=-600/-15
y=40
We find out the value of "x";
x=3y/8
x=3(40)/8
x=120/8
x=15
Answer: Elinor is 15 years old.
When it comes to finding a missing angle of a right triangle all you have to do is subtract the sum of the other two angles that you already know. For example, when you have a right triangle and the measures of two angles are 90 and 65 all you have to do is this...
90+65= 155
and...
180-155= 25 which is the sum of the missing angle.
Hope I helped!
