Answer:
To find the number of hours a light bulb will burn
Answer:
no
Step-by-step explanation:
5+4=9 which is greater than 7
Complementary = angles add up to 90.
two angles are (x+3) and (4x-8)
Therefore:
90 = (x+3) + (4x-8)
Solve for x.
90 = (x+3) + (4x-8)
90 = 5x - 5
95 = 5x
/5 /5
19 = x
Therefore the value of x = 19
Answer:
39 / 3 = 13
Step-by-step explanation:
first find out how many times 39 goes into 3 by writing the multiplication facts of 3.
3x1=3 3x8=24
3x2=6 3x9=27
3x3=9 3x10=30
3x4=12 3x11=33
3x5=15 3x12=36
3x6=18 <u>3x13=39</u>
3x7=21 3x14=42
You use 3x13 because 3x13 equals to 39 and that is our dividend.
The answer is 13
Let the three apartments be A, B & C
The rent of A is $x
The rent of B is $y
The rent of C is $z
So x + y + z = 1600 .......(1)
Now
Maintenance of A is 20% of x = 0.20x
Maintenance of B is 20% of y = 0.20y
Maintenance of C is 25% of z = 0.25z
0.20x + 0.20y + 0.25z = 345
Multiplying by 100 we get
20x + 20y + 25 z = 34500
Dividing by 5 we get
4x + 4y + 5z = 6900 .......(2)
Monthly fee of A is 10% of x = 0.10x
Monthly fee of B is 20% of y = 0.20 y
Monthly Fee of C is 10% of z = 0.10z
Now
0.10x + 0.20y + 0.10 z= 1820 - 1600
0.10x + 0.20y + 0.10z = 220
Multiplying by 100 we get
10x + 20y + 10z = 22000
Dividing by 10
x + 2y + z = 2200 ....(3)
Making a Matrix of equation (1), (2) & (3)
![\left[\begin{array}{ccc}1&1&1\\4&4&5\\1&2&1\end{array}\right] \left[\begin{array}{c}x\\y\\z\end{array}\right] =\left[\begin{array}{c}1600\\6900\\2200\end{array}\right]](https://tex.z-dn.net/?f=%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D1%261%261%5C%5C4%264%265%5C%5C1%262%261%5Cend%7Barray%7D%5Cright%5D%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bc%7Dx%5C%5Cy%5C%5Cz%5Cend%7Barray%7D%5Cright%5D%20%20%3D%5Cleft%5B%5Cbegin%7Barray%7D%7Bc%7D1600%5C%5C6900%5C%5C2200%5Cend%7Barray%7D%5Cright%5D%20%20%20)
is the required matrix