Answer:
Brooke put the value 12 into the cups of juice, and not the cups of sugar. She was searching for how many cups of sugar she needs, not juice.
Step-by-step explanation:
2/3 = ?/12.
This is how the equation is supposed to be. Then you solve it from there.
Do cross multiplication.
24 = 3x
Divide by 3 on both sides.
x = 8.
She needs 8 cups of juice.
Also, I hope everything goes well at school! Good luck :)
The expression is no very clear.
It seems to be - x / 7 + 4 < 3x
If so, this is the solution.
1) 3x + x / 7 > 4
2) 21x + x > 28
3) 22x > 28
4) x > 28/22
5) x > 14/11
Answer: x > 14 / 11
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
=sin30cos60 + sin60cos30
=(1/2)(1/2) + (√3/2)(√3/2)
=1/4 + 3/4
=1+3/4
=4/4
=1
