We have the following fractional expression:
12
-------- is the same as
12^3
12^1
-------
12^3
We want to simplify this expression. To do so, we need the formula for exponents as follows:
x^a / x^b = x^(a-b).
In this particular problem we have
12^1 / 12^3, and know by this formula that the correct result is 12^(1-3), or 12^(-2), which is equivalent to 1 / 144.
Total number of guests = 16
Solution:
Number of pizzas the caterer usually makes = 4
Number of pizzas the caterer make for a large party = twice of 4
= 2 × 4
= 8
So,the caterer makes 8 pizzas for a large party.
Quantity of pizza eat by each guest = of a pizza
Let the number of guests be taken as x.
Total guest in the party
= Total number of pizzas ÷ Amount of pizza eat by each guest.
⇒
Division changed into multiplication when the digit of the denominator is reversed.
⇒
⇒ x = 16
Hence pizzas served for 16 guests.
<span>First, we must calculate the amount that will be available after two years. This is given by:
Amount = initial amount * (1 + interest rate)^time
Amount = 1500 * (1 + 0.05)^2
Amount = $1,653.75
Therefore, the only items you can buy using this amount are the electronics worth $1,650</span>
If you were to replace the x's with 2, your equation would turn into:
(2)^2-4(2)+5
From there, you'd just solve.
4-8+5=1
Your answer would be 1.