PLEASE HURRY : A container is 40% filled with liquid. The container holds 1560 gallons of liquid. How many gallons of liquid are
2 answers:
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All exercises involve the same concept, so I'll show you how to do the first, then you can apply the exact same logic to all the others.
The first thing you need to know is that, when a certain quantity multiplies a parenthesis, you can distribute that number to every element in the parenthesis. This means that
So, is multiplying the parenthesis involving
and
, and we distributed it:
multiplies both
and
in the final result.
Secondly, you have to know how to recognize like terms, because they are the only terms you can sum. Two terms can be summed if they have the same literal expression. So, for example, you cannot sum , and neither
exponents count.
But you can su, for example,
or
So, take for example exercise 9:
We distribute the 1.2 through the first parenthesis:
And you can distribute the negative sign through the second parenthesis (it counts as a -1 to distribute):
So, the expression becomes
Now sum like terms:
<u>5 hours</u><u> long would it take the </u><u>faster </u><u>maid cleaning alone.</u>
What is a linear equation in math?
- A linear equation only has one or two variables.
- No variable in a linear equation is raised to a power greater than 1 or used as the denominator of a fraction.
- When you find pairs of values that make a linear equation true and plot those pairs on a coordinate grid, all of the points lie on the same line.
Suppose, time taken by faster maid be x , hours.
So, time taken by slower maid ,
( 4 time faster maid )
Now, time taken by both of the made together is given by ,
which is the time required by faster maid.
Learn more about linear equation
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