Answer:
8 people in the original group.
Step-by-step explanation:
Let x be the number of people who were originally present for the dinner that cost $160. Their average cost per person would be:
$160/x
If 2 more people join, there are x+2 people. Ignoring the awkward situation that they apparently did not order any additional food, they agree to share the cost of the dinner. The average cost is now:
$160/(x+2)
We are told that this new average is now $4 less per person.
$160/(x+2) = ($160/x) - $4
$160 = (($160/x) - $4)(x+2)
x = 8 people
Answer:
-1/9(-27)=3
Step-by-step explanation:
that's my answer
15 divide 8 is 1.87 or 2.00 and 31 divide 11 is 2.81 or 3.00
X^a/b is
. The way I memorise that is x^1/3 is the cubic root of x. Do you get it? In that case, x is raised to a power of 1 and the cubic root is practically has a power of 3.
In your example,
is practically square rooting each term then cubing them individually. Remember when square-rooting any index you halve it. I'll elaborate:
=
= 4
Then cube each,
= 64
and
=
As for the 2nd part: you must use the rules of indices.
So breaking the question up:
3 * 3 = 9
stays as is since the 2nd term does not contain x
now:
This makes your final answer look like this:
I hope that helped and good luck in your test!