For the following systems of equations, match each diagram on the left with its solution on the right.
2 answers:
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The volume of the rectangular prism:
![60x^3 + 145x^2 + 70x=5x(12x^2+29x+14)\\\\=5x(12x^2+21x+8x+14)=5x[3x(4x+7)+2(4x+7)]\\\\=5x(4x+7)(3x+2)\\\\Answer:\\length=5x\\width=4x+7\\height=3x+2](https://tex.z-dn.net/?f=60x%5E3%20%2B%20145x%5E2%20%2B%2070x%3D5x%2812x%5E2%2B29x%2B14%29%5C%5C%5C%5C%3D5x%2812x%5E2%2B21x%2B8x%2B14%29%3D5x%5B3x%284x%2B7%29%2B2%284x%2B7%29%5D%5C%5C%5C%5C%3D5x%284x%2B7%29%283x%2B2%29%5C%5C%5C%5CAnswer%3A%5C%5Clength%3D5x%5C%5Cwidth%3D4x%2B7%5C%5Cheight%3D3x%2B2)
<h2>~<u>Solution</u> :-</h2>
Here, it is given that the bag contains 25 paise coins and 50 paise coins in which, 25 paise coins are 6 times than that of 50 paise coins. Also, the total money in the bag is Rs. 6.
- Hence, we can see that, here, we have been given the linear equation be;
Let the number of coins of 50 paise will be $ x $ and the number of coins of 25 paise will be $ 6x $ as given. . .
Hence,
- Hence, the number of 50 paise coins will be <u>2</u>. And, 6 times of two be;
- Hence, the number of 25 paise coins will be <u>12</u>.