The Skulls, a student social organization, has two different locations under consideration for constructing a new chapter house.
1 answer:
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The correct statement will be that the maximum number of $5 bills that can be in Hermione's purse will be 7. So, the correct option that matches the statement is D.
The number of bills of $5 are seven, as Hermione also has at least one bill of $1.
<h3>Calculation of bills. </h3>- Considering Hermione has at least one bill of $1, then the computation of total bills out $40 can be shown as below,
- where <em>x </em>is the number of $5 bills
- So we know that the maximum number of bills of $5 that can be kept by Hermione is 7 as $35 is the nearest number possible and seven bills of $5 will constitute $35.
Hence, it can be concluded that option D is correct that there are seven bills of $5 in the purse of Hermione and hence there will be five bills of $1 in her purse.
Learn more about bills here:
Answer:
Number of units possible in S are 4.
Explanation:
Given <em>S</em> is a set of complex number of the form where <em>a</em> and <em>b</em> are integers.
is a unit if
exists such that
.
To find:
Number of units possible = ?
Solution:
Given that:
Taking modulus both sides:
Using the property that modulus of product of two complex numbers is equal to their individual modulus multiplied.
i.e.
So,
......... (1)
Let
Then modulus of z is
Given that a and b are <em>integers</em>, so the equation (1) can be true only when (Reciprocal of 1 is 1). Modulus can be equal only when one of the following is satisfied:
(a = 1, b = 0) , (a = -1, b = 0), (a = 0, b = 1) OR (a = 0, b = -1)
So, the possible complex numbers can be:
Hence, number of units possible in S are 4.