Answer:take away 6 inches
If she needs to keep $500 in her account and she just wrote a check for $65.99 she needs to deposit $41.24 to be at $500 when the $65.99 is withdrawn.
Hence, the equation for the question (7) is 
and equation for (8) is 
. It can be solved by linear equation in one variable.
What is a linear equation in one variable?
A linear equation in one variable is written as 
. Here, 
and 
are constants and 
is a variable.
(7)
Consider n number of baseball cards does Mike have. Since this is 19 less then the cards Allan have hence, as you add 19 in n then it will give 84.
(8)
Consider the speed of Michelle is n. As, it is 3 times less than the speed of the Jamie hence, it you multiply 3 with n then it will give 12.
Hence, the equation for the question (7) is and equation for (8) is .
Learn more about linear equation in one variable from the following link:
brainly.com/question/85774
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Answer:
1. Assume the contrary, namely that √2 + √3 + √5 = r, where r is a rational number.
Square the equality √2 + √3 = r − √5 to obtain 5 + 2
√6 = r2 + 5 − 2r
√5. It follows
that 2√6 + 2r
√5 is itself rational. Squaring again, we find that 24 + 20r2 + 8r
√30
is rational, and hence √30 is rational, too. Pythagoras’ method for proving that √2 is
irrational can now be applied to show that this is not true. Write √30 = m
n in lowest
terms; then transform this into m2 = 30n2. It follows that m is divisible by 2 and because
2( m
2 )2 = 15n2 it follows that n is divisible by 2 as well. So the fraction was not in lowest
terms, a contradiction. We conclude that the initial assumption was false, and therefore
√2 + √3 + √5 is irrational.
Step-by-step explanation:
