It is different because to find out the answer, change all denominators to 10, since the LCD is 10.
6/10-5/10=1/10
6/10-6/10=0/10
1/10 is not equal to 0/10
300 divided by 15 is 20 so 20 times 15 is 300
Answer: 
or 
Step-by-step explanation:
First, you can convert the mixed number 
into a decimal number. To do this, you need to divide the numerator (which is 1) by the denominator (which is 2) of the fraction:
Now you must add 0.5 to the whole number part. Then:
In order to find the ratio of cleaner to water, you must divide 1.5 cups of cleaner by 12 cups of water.
Therefore, the ratio is:
or
Answer:
<h3>1/6 miles / min.</h3>
Step-by-step explanation:
speed = distance / time
= <u>1/12 mile</u>
1/2 min.
= 1/6 miles / min.
Answer:
x = 1 +√5
Step-by-step explanation:
There are different formulas for the area of a triangle available, depending on the given information.
<h3>Formulas</h3>
When two sides and the angle between them are given, the relevant area formula is ...
Area = 1/2(ab)sin(C)
When the base and height of a triangle are given, the relevant area formula is ...
Area = 1/2bh
<h3>Equal Areas</h3>
The problem statement tells us the two triangles shown have equal areas. That means the two formulas will give the same result.
Area from angle = Area from base/height
1/2(x·x)sin(30°) = 1/2(x-2)(x+1)
x² = 2(x² -x -2) . . . . . . . . . . . use sin(30°) = 1/2, multiply by 4
x² -2x -4 = 0 . . . . . . . . subtract x², eliminate parentheses
(x -1)² = 5 . . . . . . . . . add 4+1 to complete the square
<h3>Value of x</h3>
x = 1 ± √5 . . . . . . take the square root, add 1
The value of x must be greater than 2 in order for the triangle side lengths to be positive. (x-2 > 0) This means x = 1-√5 is an extraneous solution.
The value of x is 1 +√5.
