Answer: 
Explanation:
We have been given with the equation -3x+1+10x=x+4
We will collect the terms that are written in variable of x in one side and the constant values on the other side we will get
-3x+10x-x=4-1
After simplification we will get 6x=3
which implies x=1/2
When x from right hand side shift will shift to left hand side it will change its sign and similarly when 1 from left hand side shift to right hand side change its sign.
Therefore, x=1/2
Answer:
The total volume of the pieces of fruit in the can is 
Step-by-step explanation:
step 1
Find the volume of the cylindrical can
The volume of the can is equal to
where
B is the area of the base of the can
H is the height of the can
we have
substitute
step 2
Find the volume of the pieces of fruit in the can
The volume of the pieces of fruit in the can is equal to subtract the volume of syrup from the volume of the can
The question is asking for the cubic feet inside the prism, which means it wants the volume.
The volume equation is:
Volume= length x width x height
The issue is: the measurements of the prism are given to us in inches, while the problem asks for feet. We just need to convert each measurement, by dividing each by 12, since there are 12 inches per foot.
40 inches/12=3.33 feet
45 inches/12=3.75 feet
30 inches/12=2.5 feet
Now, we just have to plug in the numbers we found to solve for the volume.
V=(3.33 feet)(3.75 feet)(2.5 feet)
V=31.22 cubic feet
Answer:
-2
Step-by-step explanation:
Distribute
2
(
3
+
4
)
+
2
=
4
+
3
{\color{#c92786}{2(3x+4)}}+2=4+3x
2(3x+4)+2=4+3x
6
+
8
+
2
=
4
+
3
{\color{#c92786}{6x+8}}+2=4+3x
6x+8+2=4+3x
2
Add the numbers
6
+
8
+
2
=
4
+
3
6x+{\color{#c92786}{8}}+{\color{#c92786}{2}}=4+3x
6x+8+2=4+3x
6
+
1
0
=
4
+
3
6x+{\color{#c92786}{10}}=4+3x
6x+10=4+3x
3
Rearrange terms
6
+
1
0
=
4
+
3
6x+10={\color{#c92786}{4+3x}}
6x+10=4+3x
6
+
1
0
=
3
+
4
6x+10={\color{#c92786}{3x+4}}
6x+10=3x+4
4
Subtract
1
0
10
10
from both sides of the equation
6
+
1
0
=
3
+
4
6x+10=3x+4
6x+10=3x+4
6
+
1
0
−
1
0
=
3
+
4
−
1
0
6x+10{\color{#c92786}{-10}}=3x+4{\color{#c92786}{-10}}
6x+10−10=3x+4−10
5
Simplify
Subtract the numbers
Subtract the numbers
6
=
3
−
6
6x=3x-6
6x=3x−6
6
Subtract
3
3x
3x
from both sides of the equation
6
=
3
−
6
6x=3x-6
6x=3x−6
6
−
3
=
3
−
6
−
3
6x{\color{#c92786}{-3x}}=3x-6{\color{#c92786}{-3x}}
6x−3x=3x−6−3x
7
Simplify
Combine like terms
Combine like terms
3
=
−
6
3x=-6
3x=−6
8
Divide both sides of the equation by the same term
3
=
−
6
3x=-6
3x=−6
3
3
=
−
6
3
\frac{3x}{{\color{#c92786}{3}}}=\frac{-6}{{\color{#c92786}{3}}}
33x=3−6
9
Simplify
Cancel terms that are in both the numerator and denominator
Divide the numbers
=
−
2
The answer is B
If the sweater is on sale for 20%, then the sale price will be 80% of the regular price.
Therefore, $60 = 80% of regular price
$60/80 = $0.75 which gives you 1% of the regular price
So $0.75 is 1% of regular price.
$0.75 * 100 = $75 which gives you the regular price as 1% multiplied 100 times = full price
Soooo, full price is b.) $75
