A mixed number of the form 
can be turned into an improper fraction by using the fact that a mixed number is really het whole number plus its fraction part, so
Then do the usual procedure for adding fractions via common denominator.
For example, to convert the mixed number 
into an improper fraction, we have
To add 
, we need 
to have a denominator of 4, so we multiply the numerator and denominator by 4 to get
Therefore,
Answer:
1 1/4 liters of paint
Step-by-step explanation:
Clare is painting some doors that are all the same size. She used 2 liters of paint to cover 1LaTeX: \frac{3}{5}3 5 doors. How many liters of paint are needed for 1 door?
From the above question, we can deduce that:
2 liters of paint covers 1 3/5 doors
Hence:
1 3/5 doors = 2 liters of paint
1 door = x liters of paint
Cross Multiply
1 3/5 doors × x liters = 2 liters × 1 door
x liters = 2 liters × 1 door/ 1 3/5 doors
x liters = 2 ÷ 1 3/5
x liters = 2 ÷ 8/5
x liters = 2 × 5/8
x liters = 5/4 liters
x liters = 1 1/4 liters of paint
Hence: 1 1/4 liters of paint is needed for 1 door
The general equation of a hyperbola with a horizontal transverse axis is defined as:
x²/a² - y²/b² = 1
Solving for b², we use the formula: a² + b² = c²
b² = 12² - 9² = 63
Equation of our hyperbola will be:
x²/81 - y²/63 = 1
Answer:
2z + 5
Step-by-step explanation:
you have to combine like terms
subtract 4z - 2z and you get 2z
the number with the variable next to it goes first not the constant
2z + 5
the variable is z and the constant is 5 because it doesn't have variable next to it
hope this makes sense and helps :)
tell me if you have any questions
