So. let's say the numbers are "a" and "b"
whatever they're, we know a + b = 56
let's say the larger one is "b", so 3 times the smaller is 3*a or 3a
now, 12 less than that, is 3a - 12
and the larger is that, so b = 3a - 12
so
solve for "a", to see what the smaller one is
what's b? well, b = 56 - a
Answer:
Cole spend 47.587 on buying gifts for each person.
Step-by-step explanation:
Given:
Total money spend on gifts = 523.46
Number of people gifts were bought for = 11
We need to find how much he spend on each person.
Solution:
To find how much he spend on each person we will divide total money spend on gifts with number of people gifts were bought for.
framing in equation form we get;
Spending on each person = 
Hence Cole spend 47.587 on buying gifts for each person.
Answer:
Step-by-step explanation:
Given
Required
The number of each coin
The total coins can be represented as:
So, the worth of the coin is:
The equations to solve are:
Make d the subject in:
Substitute in
Collect like terms
Solve for q
Substitute in
So:
<h2>
Answer:</h2>
The values of x for which the given vectors are basis for R³ is:
<h2>
Step-by-step explanation:</h2>
We know that for a set of vectors are linearly independent if the matrix formed by these set of vectors is non-singular i.e. the determinant of the matrix formed by these vectors is non-zero.
We are given three vectors as:
(-1,0,-1), (2,1,2), (1,1, x)
The matrix formed by these vectors is:
![\left[\begin{array}{ccc}-1&2&1\\0&1&1\\-1&2&x\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D-1%262%261%5C%5C0%261%261%5C%5C-1%262%26x%5Cend%7Barray%7D%5Cright%5D)
Now, the determinant of this matrix is:
Hence,
Answer:
Step-by-step explanation:
