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:
$5.60
Step-by-step explanation:
interest = 3.5% = 3.5 ÷ 100 = 0.035
So 3.5% of $400 = 0.035 x 400 = $14
If Jonah spend 3/5 of the interest, then he gives his brother 2/5 of the interest each year.
2/5 of $14 = 2/5 x 14 = $5.60
Answer:
money saved by james = 30/2 = 15
equation used
money with James = 3/4 (money with sister)
x/2 + 30 =3/4( x + 30 )
Step-by-step explanation:
Let money saved by sister be x
given
James has saved half the amount of money as his sister has saved.
Money saved by James = x/2
Total money saved by both of them = x + x/2
If they both save 30 more
Then
money with sister = x + 30
money with james = x/2 + 30
given that If they both save 30 more, james will have saved 3/4 as much as her sister
thus,
money with james = 3/4 (money with sister)
x/2 + 30 =3/4( x + 30 )
=> 4(x+30*2) /2 = 3x+90
=> 2x + 120 = 3x + 90
=> 3x-2x = 120-90
=> x = 30
Thus,
money saved by james = 30/2 = 15
equation used
money with james = 3/4 (money with sister)
x/2 + 30 =3/4( x + 30 )
3+2=5
30 divided by 5=6
6X3=18
6X2=12
18+12=30
18:12