Answer:
A
Step-by-step explanation:
This explanation mostly depends on what you're learning right now. The first way would be to convert this matrix to a system of equations like this.
g + t + k = 90
g + 2t - k = 55
-g - t + 3k = 30
Then you solve using normal methods of substitution or elimination. It seems to me that elimination is the quickest method.
g + t + k = 90
-g - t + 3k = 30
____________
0 + 0 + 4k = 120
4k = 120
k = 30
No you can plug this into the first two equations
g + t + (30) = 90
g + t = 60
and
g + 2t - (30) = 55
g + 2t = 85
now use elimination again by multiplying the first equation by -1
g + 2t = 85
-g - t = -60
_________
0 + t = 25
t = 25
Now plug those both back into one of the equations. I'll just do the first one.
g + (25) + (30) = 90
g = 35
Therefore, we know that Ted spent the least amount of time on the computer.
The second method is using matrix reduction and getting the matrix in the row echelon form, therefore solving using the gauss jordan method. If you would like me to go through this instead, please leave a comment.
Answer:
63 houses have been sold this year.
Step-by-step explanation:
There are 81 houses in the community. If 7/9 are sold this year, then all you have to do is multiplication.
In this case, you would multiply 81 by 7/9 to get your answer.
81/1 x 7/9:
Cancel out the 9 and the 81. Then the denominator will be 1 x 1 and the numerator would be 7 x 9. It would be 63 (7x9=63) over 1 (1x1=1) which is just 63. Make sure to include units.
Answer:
5/16
Step-by-step explanation:
As you can see in the 16 given possible outcomes, in 5 of them at least 3 coins land facing up. Since there are 16 outcomes in total, the probability that at least three coins land facing up is 5/16. Hope this helps!
Answer:
Age of Eva = 15 Years
Age of Carrie = 45 Years
Step-by-step explanation:
Let the age of Eva be X years
Given that Carrie is 3 times as old as Eva
Therefore age of Carrie = 3X YEARS.
__________________________________________________________
After 15 years
Age of Eva = X + 15
Age of Carrie = 3X +15
Given that Carrie is twice as old as Eva
so according to this condition
age of Carrie = 2*Age of Eva
Substituting the age of Eva and Carrie
3X +15 = 2*(X + 15 )
=> 3X +15 = 2X +30
=> 3X - 2X = 30 - 15
=> X = 15
Since X was assumed age of Eva so age of Eva is 15 years
age of Carrie = 3X years = 3*15 = 45 years.
Answer:
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