1/5
9/45=1/5
8/40=1/5
I think this is right
Answer:
<h3>X=-3</h3>
Step-by-step explanation:
Isolate x on one side of the equation.
<u><em>DISTRIBUTIVE PROPERTY</em></u>
A(B+C)=AB+AC
A(B-C)=AB-AC
3(4x+4) (First, expand.)
3*4x=12x
3*4=12
12x+12
2(5x+9)-12
2*5x=10x
2*9=18
10x+18
18-12=6
12x+12=10x+6
12x+12-12=10x+6-12 (Subtract 12 from both sides.)
6-12 (Solve.)
12-6=6
12x=10x-6
12x-10x=10x-6-10x (Subtract 10x from both sides.)
12x-10x (Solve.)
12x-10x=2x
2x=-6
2x/2=-6/2 (Then, divide by 2 from both sides.)
-6/2 (Solve.)
-6/2=-3
x=-3
As a result, the final answer is x=-3.
Answer:
, Terminating
Step-by-step explanation:
Mackenzie has 32 books and 12 of which are by her favorite author.
One of the easier ways to convert something to a decimal is to first start as a fraction. We need to have it be the number of books by her favorite author (12) out of the total number of books that she owns (32)
This in the form of a fraction would be 
Now, let us reduce this fraction.
Both terms can be divided by 4
Recall that 
This means that
As you can see. this decimal stops after 3 places, which means that it is terminating.
Hey there!
:)
Simplifying fractions means dividing the numerator and the denominator by the same number.
So we know that both 52 and 624 are divisible by 2. However, it will take some time.
Turns out 624 is divisible by 52!
is the answer. Hope it helps!
#HaveAnAmazingDay
Answer:
4 pitches
Step-by-step explanation:
if a cylinder with height 9 inches and radius r is filled with water, it can fill a certain pitcher. how many of these pitchers can a cylinder with height 9 inches and radius 2r fill? explain how you know.
Solution:
The volume of a cylinder is given by:
V = πr²h;
where V is the volume, r is the radius of the cylinder and h is the height of the cylinder.
A cylinder with height 9 inches and radius r can fill a certain pitcher. Therefore the volume of the cylinder is:
V = πr²h = πr²(9) = 9πr²
V = volume of pitcher = volume of cylinder with radius r = 9πr²
For a cylinder with height 9 inches and radius 2r its volume is:
V2 = πr²h = π(2r)²(9) = 36πr²
Therefore, the number of pitchers a cylinder with height 9 inches and radius 2r can fill is:
number of pitches = 36πr² / 9πr² = 4
Therefore a cylinder with height 9 inches and radius 2r can fill 4 pitches.
