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ACT Math Pre-Algebra: Drill 3, Problem 4. Find the solution to this equation.
Using Multiplicative Inverse to Solve Equations 756 Views
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Transcript
- 00:00
Thank you Using multiplication of inverse to solve equations allah
- 00:07
shmoop whenever there's a snowstorm windstorm sandstorm or any kind
- 00:11
of storm your parents go a little crazy Stocking up
- 00:14
on canned goods Right now the stack of cans in
- 00:17
the basement is about eleven feet high Your basement's pretty
Full Transcript
- 00:21
roomy it's ceiling is twenty feet high Who if the
- 00:24
tower of cans grows three quarters of a foot each
- 00:28
month how many months will it take for all those
- 00:31
canned beets and carrots to reach the ceiling Cheerier options
- 00:39
First we need to write this out in an equation
- 00:43
Okay so we'll describe this as current height of the
- 00:46
kansas eleven feet plus the growth rate which is three
- 00:50
quarters of a foot a month Time's number of months
- 00:54
for which we'll use emma's the variable Equals height of
- 00:59
the ceiling which is twenty feet we're solving for a
- 01:03
number of months so that value is here's our finished
- 01:07
equation First we need to subtract eleven from each side
- 01:12
to simplify this thing That leaves us with three force
- 01:17
em on the left and nine on the right in
- 01:21
order to get rid of the fraction we need to
- 01:22
multiply each side by the inverse of the fraction in
- 01:26
verse means to flip the fraction over kind of like
- 01:28
multiplying by its opposite In this case the multiplication of
- 01:33
inverse would be for over three so multiply both sides
- 01:36
by four over three that cancels out the three forces
- 01:39
left leaving us with them Multiply nine by four over
- 01:44
three to get thirty six over Three Simplify that to
- 01:48
get m equals twelve and the answer is b So
- 01:53
it looks like you have a year before your basement
- 01:55
is totally full Look at the bright side If a
- 01:58
disaster does wipe out your house you can live in
- 02:00
a can for food and shelter in one convenient place 00:02:04.89 --> [endTime] No
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