You just add them together. First, you give them all the same denominator. So 2 3/4 goes to 2 6/8 and 1 1/2 goes to 1 4/8. 1 4/8 + 2 6/8 + 7/8 = 3 17/8. 3 17/8 simplified = 5 1/8. So 5 1/8 inches
Answer:
x=1
Step-by-step explanation:
Simplifying
6x + 5 = 11x
Reorder the terms:
5 + 6x = 11x
Solving
5 + 6x = 11x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-11x' to each side of the equation.
5 + 6x + -11x = 11x + -11x
Combine like terms: 6x + -11x = -5x
5 + -5x = 11x + -11x
Combine like terms: 11x + -11x = 0
5 + -5x = 0
Add '-5' to each side of the equation.
5 + -5 + -5x = 0 + -5
Combine like terms: 5 + -5 = 0
0 + -5x = 0 + -5
-5x = 0 + -5
Combine like terms: 0 + -5 = -5
-5x = -5
Divide each side by '-5'.
x = 1
Simplifying
x = 1
Answer with Step-by-step explanation:
Since the given event is binary we can use Bernoulli's probability to sove the problem
Thus for an event 'E' with probability of success 'p' the probability that the event occurs 'r' times in 'n' trails is given by
Part a)
For part a n = 11 , r =9, p = 0.75
Applying values we get
Part b)
For part b n = 20 , r = 16 , p=0.75
Applying values we get
2 would be "B" and 3 would "D"
Answer:
The regular price=$750
Step-by-step explanation:
Step 1
Let the regular price be x
regular price=x
Step 2
The expression for the price after the discount is;
price after discount=regular price-discount rate×regular price
where;
regular price=x
discount rate=25%
replacing;
price after discount=x-(25/100)×x=x-0.25 x=0.75 x
price after discount=0.75 x
Step 3
Get the expression for the final bill as shown;
final bill=price after discount-gift certificate
where;
final bill=$522.50
price after discount=0.75 x
gift certificate=$40
replacing;
522.50=0.75 x-40
0.75 x=522.50+40
0.75 x=562.50
x=562.5/0.75
x=750
The regular price=$750
