You can solve this by using the system of equations.
Jan - 4.95 = 2H + 3C
Wayne - 5.45 = 3H + 2C
Use elimination.
-3(2H + 3C = 4.95)
2(3H + 2C = 5.45)
Solve. And you'll get:
-6H + (-9C) = -14.85
6H + 4C = 10.9
Cross out -6H and 6H because they cancel out. And you're left with:
-9C = -14.85
4C = 10.9
Add -9C with 4C, and -14.85 with 10.9.
-5C = -3.95
Divide each side with -5.
C = $0.79
Now to figure out what H is, just substitute the C in one of the equations with 0.79.
5.45 = 3H + 2(0.79)
5.45 = 3H + 1.58
-1.58 -1.58
3.87 = 3H
3.87/3 = 3/3(H)
1.29 = H
Finished!
The 1st and 3rd choices are irrational. The other 2 are rational. Irrational numbers are numbers that you can't make a simple fraction out of.
Answer: ![x=\dfrac{25}{21}](https://tex.z-dn.net/?f=x%3D%5Cdfrac%7B25%7D%7B21%7D)
Step-by-step explanation:
Area of parallelogram = Base x height
If two parallelograms are similar, then their corresponding sides are proportional.
That means, ![\dfrac{\text{Area of first parallleogram}}{\text{Area of second parallleogram}}=\dfrac{\text{height of first parallelogram}}{\text{height of second parallelogram}}](https://tex.z-dn.net/?f=%5Cdfrac%7B%5Ctext%7BArea%20of%20first%20parallleogram%7D%7D%7B%5Ctext%7BArea%20of%20second%20parallleogram%7D%7D%3D%5Cdfrac%7B%5Ctext%7Bheight%20of%20first%20parallelogram%7D%7D%7B%5Ctext%7Bheight%20of%20second%20parallelogram%7D%7D)
![\Rightarrow \dfrac{3x+5}{9x}=\dfrac{16}{20}\Rightarrow \dfrac{3x+5}{9x}=\dfrac{4}{5}\\\\\Rightarrow 5(3x+5)=4(9x)\\\\\Rightarrow\ 15x+25 = 36x\\\\\Rightarrow\ 36x-15x=25\\\\\Rightarrow\ 21x = 25\\\\\Rightarrow\ x=\dfrac{25}{21}](https://tex.z-dn.net/?f=%5CRightarrow%20%5Cdfrac%7B3x%2B5%7D%7B9x%7D%3D%5Cdfrac%7B16%7D%7B20%7D%5CRightarrow%20%5Cdfrac%7B3x%2B5%7D%7B9x%7D%3D%5Cdfrac%7B4%7D%7B5%7D%5C%5C%5C%5C%5CRightarrow%205%283x%2B5%29%3D4%289x%29%5C%5C%5C%5C%5CRightarrow%5C%2015x%2B25%20%3D%2036x%5C%5C%5C%5C%5CRightarrow%5C%2036x-15x%3D25%5C%5C%5C%5C%5CRightarrow%5C%2021x%20%3D%2025%5C%5C%5C%5C%5CRightarrow%5C%20x%3D%5Cdfrac%7B25%7D%7B21%7D)
Hence, ![x=\dfrac{25}{21}](https://tex.z-dn.net/?f=x%3D%5Cdfrac%7B25%7D%7B21%7D)
Answer:
x=10
y=30
Step-by-step explanation:
x=-2y+70
x=-2*3x+70
x=-6x+70
7x=70
x=10
y=3x
y=3*10
y=30