Answer:
Step-by-step explanation:
When we want to find the distance between two integers using the difference, the best way is to plot them on number line. And then count distance between them.
For example -3 and -1.
When we want to find difference we have:
-3-(-1)=-2
But distance can not be negative.
Now, we need to count distance between numbers -3 and -1 on the number line.
So we have from -3 to -2, one place and from -2 to -1 one place it is 2 places.
So distance is 2.
Answer:
$1161
Step-by-step explanation:
21.5% of 5400 is 1161.
Answer:
<em>In the second group the individual members received a larger fraction of the prize money</em>
Step-by-step explanation:
<u>Division by Sharing</u>
A certain amount M can be evenly split among n parties by performing a division M/n.
The first group of six friends earned $45 and they split it evenly, i.e. the same amount goes to each member. Each of them received $45/6= $7.50 apiece.
The second group of four friends won the second-place prize of $35 and they split it evenly also. Each member received $35/4=$8.75.
By comparing both numbers, we see that 8.75 is a bigger fraction of 35 that 7.50 is of 45. Each member from the second-place price will receive more money than the first group.
We can conclude in the second group the individual members received a larger fraction of the prize money
Answer:
Step-by-step explanation:
The sum of two matrices is the sum of corresponding terms.
![\left[\begin{array}{ccc}3&1&0\\-1&2&4\\9&7&-2\end{array}\right] +\left[\begin{array}{ccc}5&2&4\\1&12&3\\11&3&-2\end{array}\right] =\left[\begin{array}{ccc}8&3&4\\0&14&7\\20&10&-4\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D3%261%260%5C%5C-1%262%264%5C%5C9%267%26-2%5Cend%7Barray%7D%5Cright%5D%20%2B%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D5%262%264%5C%5C1%2612%263%5C%5C11%263%26-2%5Cend%7Barray%7D%5Cright%5D%20%3D%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D8%263%264%5C%5C0%2614%267%5C%5C20%2610%26-4%5Cend%7Barray%7D%5Cright%5D)
