Start by writing the ratio of:
0.125/1 (since a number divided by 1 is itself)
Then multiply the numerator and denominator by 10, 100, or 1000, etc. until the numerator becomes an integer: (in this case multiplying by 1000 does the trick)
(0.125*1000)/(1*1000)
125/1000
Now simplify by dividing by common factors. For this problem, 5 is a common factor of both the numerator and denominator:
(125/5)/(1000/5)
25/200
Do this again with another common factor if possible. For this problem, 25 is another common factor:
(25/25)/(200/25)
1/8
Now there are no more common factors between the numerator and denominator. When this is the case, the fraction can be considered to have been simplified:
Answer is: 1/8
Answer:
Step-by-step explanation:
3.78 - 0.9
Darell bought 2.88 ounces of dark chocolate
Answer:
(shown in attached picture)
4/5
2(5x+4)=
distribute the 2
10x+8=
subtract 8 from both sides
10x=8
divide 10 from both sides
x=8/10
simplify by 2
x= 4/5
Answer:
A) y =
, x = 11
Step-by-step explanation:
We can use the 60 degree angle to help us solve this.
Remember: tan(angle) = opposite/adjacent
Using this formula, we get that
tan (60 degrees) = y / (11/2)
This is because y is the side opposite to the 60 degree angle and 11/2 is the side adjacent to the 60 degree angle.
Simplifying this expression, we get that
= y/(11/2)
Multiplying both sides by 11/2, we get
= y
We can now use the pythagorean theorem to help us solve for x
Remember: a² + b² = c²
Since x is the hypotenuse, it is the c value. Therefore, we get:
(11/2)² + (
)² = x²
Simplifying this, we get
+
= x²
Simplifying this some more, we get
484/4 = x²
121 = x²
Taking the square root of both sides, we get that
x = 11
I hope this helps!