Answer:
3:6
3x2=6
Scale factor = 2
Step-by-step explanation:
Total people in the cafeteria = 7 + 48 + 45 = 100
There are 45 boys.
The probability would be the number of boys over the total number of people:
45/100, which simplifies to 9/20
Answer:
176/231
Step-by-step explanation:
88 blue marbles, 55 green marbles, and 88 red marbles =231 marbles
P (blue or red marble) = number of red or blue/ total
= 88+88 / 231
=176/231
Answer:
Step-by-step explanation:
<u>Linear Combination Of Vectors
</u>
One vector 
is a linear combination of 
and 
if there are two scalars 
such as
In our case, all the vectors are given in 
but there are only two possible components for the linear combination. This indicates that only two conditions can be used to determine both scalars, and the other condition must be satisfied once the scalars are found.
We have
We set the equation
Multiplying both scalars by the vectors
Equating each coordinate, we get
Adding the first and the third equations:
Replacing in the first equation
We must test if those values make the second equation become an identity
The second equation complies with the values of 
and 
, so the solution is
The second side of a triangular deck is 4 feet longer than the shortest side
(s+4) = the 2nd side
and a third side that is 4 feet shorter than twice the length of the shortest side.
(2s-4) = the 3rd side
If the perimeter of the deck is 48 feet, what are the lengths of the three sides?
s + (s+4) + (2s-4) = 48
Combine like terms
s + s + 2s + 4 - 4 = 48
4s = 48
s = 48/4
s = 12 ft is the shortest side
I'll let you find the 2nd and 3rd sides, ensure they add up to 48
Hope this helps!
