Answer:
3 bags
Step-by-step explanation:
Suppose there are
x
bags of candy.
If the
33
blue gumballs are to be split evenly with no leftovers among the
x
bags, then
x
must divide evenly into
33
.
If the
24
green gumballs are to be split evenly with no leftovers among the
x
bags, then
x
must divide evenly into
24
.
To get the largest number of bags (
x
),
x
must be the Greatest Common Divisor of
33
and
24
Factoring:
33
=
3
×
8
24
=
2
×
2
×
2
×
3
The only common factor is
3
and therefore the product of the common factors is
3
or, in other words,
the Greatest Common Factor is
x
=
3
Answer: 33 1/3%
Step-by-step explanation:
Percentage increase of the shirt will be calculated as:
= Price Increase / Old price × 100%
Price Increase = $20 - $15 = $5
Old price = $15
Percent increase = Price Increase / Old price × 100%
= 5/15 × 100
= 1/3 × 100
= 33 1/3%
Answer:
there's nothing here to answer
There is some ambiguity here which could be removed by using parentheses. I'm going to assume that you actually meant:
x-3
h(x) = ---------------
(x^3-36x)
To determine the domain of this function, factor the denominator:
x^3 - 36x = x(x^2 - 36) = x(x-6)(x+6)
The given function h(x) is undefined when the denominator = 0, which happens at {-6, 0, 6}.
Thus, the domain is "the set of all real numbers not equal to -6, 0 or 6."
Symbolically, the domain is (-infinity, -6) ∪ (-6, 0) ∪ (0, 6) ∪ (6, +infinity).
It looks like your first selection (a) is appropriate.
