Answer:
0.51
Step-by-step explanation:
Total free throws taken = 45
Number of successful free throws = 23
Average number of free throws made (x) :
Successful free throws / Numbe rod free throws taken
23 / 45 = 0.511
x = 0.51
So, from this information you can set up two equations:
0.1x + 0.25y = 5 dollars and
x + y = 41 coins
where x = how many dimes and y = how many quarters
Solve for either x or y in the second equation, so x = 41 - y and then plug this in for x in the first equation to get:
0.1(41 - y) + 0.25y = 5
4.1 - 0.1y + 0.25y = 5
4.1 + 0.15y = 5
0.15y = 0.9
y = 6
We solved for y and now we know there are 6 quarters, so you can plug this into the second equation to solve for x. We fine that we have 35 dimes. You can always your work by plugging what you get for x and y back into the equations.
The answer would be C, 3(3a+4) because 3 times 3a is 9a and 3 times 4 is 12
, equalling 9a+12.
Answer:
k = 13
Step-by-step explanation:
Matrix is;
A =
[2 -5 9]
[-1 3 -5]
[ 7 1 k ]
Number of unknowns is less than the rank of 2. Thus, the determinant has to be zero for us to find k.
Thus, we have;
2((3 × k) - (-5 × 1)) -(-5)((-1 × k) - (-5 × 7)) + 9((-1 × 1) - (7 × 3)) = 0
Simplifying further gives;
2(3k +5) + 5(-k + 35) + 9(-22) = 0
6k + 10 - 5k + 175 - 198 = 0
k - 198 + 185 = 0
k - 13 = 0
k = 13
First, let's convert X into 4
(3*4 - 4)ft, (4*2 - 1)ft, (2*4*2 - 15)ft
Now lets simplify this a little
(12 - 4)ft, (8 - 1)ft, (16 - 15)ft
Awesome now lets finish up
8 x 9 x 1 / 2 = 36
The answer should be 36ft. Unless I did my math wrong.
