1/5(10x−15)=1/4(12x−8)
1/5(10x−15)=1/4(12x−8)
Simplify:
(1/5)(10x)+(15)(−15)=(1/4)(12x)+(1/4)(−8)(Distribute)
2x+−3=3x+−2
2x−3=3x−2
Subtract 3x from both sides.
2x−3−3x=3x−2−3x
−x−3=−2
Add 3 to both sides.
−x−3+3=−2+3
−x=1
Divide both sides by -1.
−x/−1 = 1/−1
x=−1
Answer:
18
Step-by-step explanation:
3x + 2x = 90
5x = 90
5x/5 = 90/5
x = 18
The answer is
3^2 times 13
Answer:
c) Percentages
Step-by-step explanation:
Percentages can be used to compare changes from one period to another.
In calculating a percentage change, either a percentage increase or percentage decrease, we must have both the new and old measurement of the specific quantity.
For example, let's find percentage increase of the number of students that joined a book club using the parameters below;
Original number of students = 32
New number of students = 36
We will calculate the increase using;
Substituting the values, we have;
Increase = 36 - 32 = 4
Percentage increase = 12.5%
Therefore, the number of students in the school club increased by 12.5%.
Given pyramid with a regular hexagonal base,
side length=6

cm
Height = 4 cm
We need to find the area of the hexagonal base. First step is to find the apothm,
a=side*(
=6*3/2=9
So the area of each equilateral triangle making up the base
=base*apothem/2
=6

*9/2
=27

The area of base = 6 area of each triangle
=6*27

=162

Volume of pyramid = area of base * height /3
=162

*4/3
=216