Answer:
To prove:
X+Y.Z=(X+Y).(X+Z)
Taking R.H.S
= (X+Y).(X+Z)
By distributive law
= X.X+X.Z+X.Y+Y.Z --- (1)
From Boolean algebra
X.X = X
X.Y+X.Z = X.(Y+Z)
Using these in (1)
=X+X(Y+Z)+Y.Z
=X(1+(Y+Z)+Y.Z --- (2)
As we know (1+X) = 1
Then (2) becomes
=X.1+Y.Z
=X+Y.Z
Which is equal to R.H.S
Hence proved,
X+Y.Z=(X+Y).(X+Z)
Answer:
$3.75 + ($0.50 x B)
Step-by-step explanation:
math math math
Answer:
a) What is the amount off the original price?
= $8.4
b) What is the new price for the pair of shoes?
= $33.6
Step-by-step explanation:
a) What is the amount off the original price?
We are told that:
The sale price is 20% off the original price.
Original price = $42
Hence:
$42 × 20%
$42 × 20/100
= $8.4
b) What is the new price for the pair of shoes?
The new price =
0riginal price - Amount off the original price
= $42 - $8.4
= $33.6
The original price = $33.6
Use trigonometry.
tan30° = perpendicular / base
Here for angle 30° , x is perpendicular while 10 is the base.
tan30° = 1/√3
1/√3 = x/10
x = 10/✓3
By rationalising
x = 10√3/3
Hope This Helps You!
1. Annual percent increase in rent is basically just a percentage of the rent increased each year.
2. Heater: Use fire places, or lower the amount of air conditioning usage so it's not so cold.
Electricity: Turn off ceiling fans and lights when not used, or only allow the essential things to use electricity.
Water: Not leave faucets or showers running, or no bathtubs which prevents baths.
3. The couple could save $450 in one year because 3000 divided by 0.15 which is the 15%, equals to the total amount saved at $450.
4. Groceries/everyday essentials, Gas money, taxes, pay off loans.
