Answer:
The basic technique to isolate a variable is to “do something to both sides” of the equation, such as add, subtract, multiply, or divide both sides of the equation by the same number. By repeating this process, we can get the variable isolated on one side of the equation.
Step-by-step explanation:
Answer: in how many days?
Step-by-step explanation:
The denominator( s ) we are given are , and . The first thing we want to do is factor the expressions, to make this easier -
This expression is a perfect square, as ( x )^2 = x^2, ( 2 )^2 = 4, 2 * ( x ) * ( 2 ) = 4x. Thus, the simplified expression should be the following -
The other expression is, on the other hand, not a perfect square so we must break this expression into groups and attempt factorization -
Combining ( x + 2 )^2 and ( x + 2 )( x + 3 ), the expression that contains factors of each is ( x + 2 )^2 * ( x + 3 ), or in other words the LCM.
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Answer:
Tristan will need 32 feet of material for the perimeter of the garden.
Step-by-step explanation:
Given that
Area of square garden = A = 64 square feet
Perimeter = P = ?
We know that for calculation of perimeter, length of side of square is required which is not directly given in the question. The area will be used to calculate length of side and then length will be used to calculate the perimeter.
So,
s is for side
Putting the value of area
Taking square root on both sides
The length of side is 8 feet.
Perimeter will be:
Hence,
Tristan will need 32 feet of material for the perimeter of the garden.
Answer:
From the problem, the answer to the equation is 5 1/10
Step-by-step explanation:
First, let's gather the information from the problem.
<em>a = 4 1/5 (also can be turned into 21/5)</em>
<em>b = 2 7/20 (also can be turned into 47/20)</em>
<em>c = 3 1/4 (also can be turned into 13/4)</em>
Now, plug in the numbers using the improper fractions.
21/5 - 47/20 + 13/4
Turn the denominators into the same number.
84/20 - 47/20 + 65/20
Subtract 84/20 and 47/20.
37/20 + 65/20
Add 37/20 and 65/20.
102/20 or 5 1/10
So, your answer to this equation is 5 1/10.