Answer:
The GCF for the variable part is
k
Step-by-step explanation:
Since
18
k
,
15
k
3
contain both numbers and variables, there are two steps to find the GCF (HCF). Find GCF for the numeric part then find GCF for the variable part.
Steps to find the GCF for
18
k
,
15
k
3
:
1. Find the GCF for the numerical part
18
,
15
2. Find the GCF for the variable part
k
1
,
k
3
3. Multiply the values together
Find the common factors for the numerical part:
18
,
15
The factors for
18
are
1
,
2
,
3
,
6
,
9
,
18
.
Tap for more steps...
1
,
2
,
3
,
6
,
9
,
18
The factors for
15
are
1
,
3
,
5
,
15
.
Tap for more steps...
1
,
3
,
5
,
15
List all the factors for
18
,
15
to find the common factors.
18
:
1
,
2
,
3
,
6
,
9
,
18
15
:
1
,
3
,
5
,
15
The common factors for
18
,
15
are
1
,
3
.
1
,
3
The GCF for the numerical part is
3
.
GCF
Numerical
=
3
Next, find the common factors for the variable part:
k
,
k
3
The factor for
k
1
is
k
itself.
k
The factors for
k
3
are
k
⋅
k
⋅
k
.
k
⋅
k
⋅
k
List all the factors for
k
1
,
k
3
to find the common factors.
k
1
=
k
k
3
=
k
⋅
k
⋅
k
The common factor for the variables
k
1
,
k
3
is
k
.
k
The GCF for the variable part is
k
.
GCF
Variable
=
k
Multiply the GCF of the numerical part
3
and the GCF of the variable part
k
.
3
k
Answer: The budget of Alexa is increased by $100.
Explanation:
It is given that the current income of Alexa is 3 times of her previous income.
Her previous salary was $800 and current salary was $2400.
Expenses = Rent + Utilities + Groceries + Savings + Bus
The sum of previous expenses is,
Previous expenses = $300 + $60 + $200 + $100 + $30 = $690
The sum of current expenses is,
Current expenses = $300 + $60 + $250 + $150+ $30 = $790
Effect of income on expenses is the difference of current expenses and previous expenses.
Effect of income on expenses = $790 - $690 = $100
Therefore, the budget of Alexa is increased by $100.
Answer:
52 students
Step-by-step explanation:
1/8 is 6.5
6.5 times 8 is 52
Answer:
Step-by-step explanation:
To multiply radicals with the same root, you just need to multiply the numbers or expressions inside the root retaining the same root and then simplify the result.
In this case: 
Answer:
cup of blueberries
Step-by-step explanation:
Since David starts out with 3 1/2 cups of blueberries and uses 1/4 cup to make a smoothie, we will need to subtract 1/4 from his starting amount of 3 1/2
David now has 3 1/4 cup of blueberries
David then uses half of this new amount of blueberries to make his pancakes. We will need to divide by 2 in order to figure out how much half is
- First we can turn 3 1/4 into an improper fraction to make it easier to work with → 3 1/4 = 13/4
- Now dividing 13/4 by 2 gives us
- David used 13/8 cups of blueberries to make his pancakes
- Turning this back into a mixed number leaves him with 1 5/8 cup of blueberries
