Step-by-step explanation:
Multiplication of fractions is easiest operation. Simply multiple numerator to numerator and denominator to denominator. For example,
Addition and subtraction requires that we find a common demoninator.
For example,
The common denominator is 12. So I need to muliply each fraction to get the right denominator. 4*3 = 12.
Then we add the numerators
Then we should reduce.
Division is a little trickier because we have to flip-flop the second term and then multiply. For example: 
Answer:
4m
Step-by-step explanation:
0.8x5=4
Answer:
Yes, f(x) = 
is a constant function.
Step-by-step explanation:
A function is defined to be a relation from 1 set of numbers to another set of numbers.
The main condition for a relation to be a function is that for every number in the domain there should be a <u>unique image</u>
Here the given function is f(x) =
This function is a constant function and gives the value 0.75 for all values of x.
Hence the graph would be a straight line parallel to the x-axis passing through y = 0.75.
Hence the f(x) = 0.75 is a function.
Answer:
x = 12
Step-by-step explanation:
The exterior angle of a triangle is equal to the sum of the opposite interior angles
10x-10 = 60 +4x+2
Combine like terms
10x-10 = 62+4x
Subtract 4x from each side
10x-4x -10 = 62 +4x-4x
6x -10 = 62
Add 10 to each side
6x-10+10 = 62+10
6x= 72
Divide by 6
6x/6 = 72/6
x = 12
Answer:
p = 4
Step-by-step explanation:
The usually recommended procedure for solving a proportion is to "cross multiply", then divide by the coefficient of the variable. (Solve the remaining one-step equation.)
<h3>Cross multiply</h3>
This means multiply both sides of the equation by the product of the denominators:
(15/6)(6p) = (10/p)(6p) . . . . "cross multiply"
15p = 60 . . . . . . simplify
<h3>Second step</h3>
Now, divide by the coefficient of the variable.
15p/15 = 60/15
p = 4
The solution is p = 4.
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<em>Additional comment</em>
If the variable is in the <em>numerator</em> of the proportion, using cross multiplication, you will find that you end up multiplying and dividing by the other denominator. To solve it in that case, you only need to multiply by the denominator under the variable.
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For example, to solve ...
2/5 = p/10
you only need to multiply by 10. You don't need to multiply by 50, then divide by 5.
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Any proportion can be written 4 ways:
This suggests another strategy: invert the whole proportion, then solve it as one with p in the numerator:
6/15 = p/10 ⇒ p = 10(6/15) = 4
