Answer:
m = -12/7 = -1.714
Step-by-step explanation:
You are allowed to move the decimal points before dividing with decimals because then, you will be able to divide by a whole number outside the dividend. Move the decimal point so that you are dividing by a whole number.
Each will get thirty kisses, and there'll be five left over, unless he has favorite students.
Answer:
d = 10/72
Step-by-step explanation:
c and d vary inversely
c = k/d
Where,
k = constant of proportionality
d = 2/9 when c = 5
c = k/d
5 = k ÷ 2/9
5 = k × 9/2
5 = 9k/2
Cross product
5*2 = 9k
10 = 9k
k = 10/9
c = k/d
c = 10/9 ÷ d
c = 10/9 × 1/d
c = 10/9d
find d when c = 8
c = 10/9d
8 = 10/9d
Cross product
8*9d = 10
72d = 10
d = 10/72
Answer: The answer is 48 cows.
Step-by-step explanation: Given that a farmer bought a number of equally priced cows at $480. After 3 died, the farmer sold the remaining cows for a total of $495 and the price per cow was $1 more when he sold them than when he bought them. We need to find the number of cows he bought originally.
Let, 'x' be the number of cows he bought originally each at a price of '$y'.
Then, we have
![xy=480,\\\\(x-3)(y+1)=495.](https://tex.z-dn.net/?f=xy%3D480%2C%5C%5C%5C%5C%28x-3%29%28y%2B1%29%3D495.)
Subtracting the first equation from the second, we have
![(x-3)(y+1)-xy=495-480\\\\\Rightarrow xy-3y+x-3-xy=15\\\\\Rightarrow x-3y-3=15\\\\\Rightarrow \dfrac{480}{y}-3y-3=15\\\\\Rightarrow y^2+6y-160=0\\\\\Rightarrow (y-10)(y+16)=0.](https://tex.z-dn.net/?f=%28x-3%29%28y%2B1%29-xy%3D495-480%5C%5C%5C%5C%5CRightarrow%20xy-3y%2Bx-3-xy%3D15%5C%5C%5C%5C%5CRightarrow%20x-3y-3%3D15%5C%5C%5C%5C%5CRightarrow%20%5Cdfrac%7B480%7D%7By%7D-3y-3%3D15%5C%5C%5C%5C%5CRightarrow%20y%5E2%2B6y-160%3D0%5C%5C%5C%5C%5CRightarrow%20%28y-10%29%28y%2B16%29%3D0.)
This gives, y = 10 or y = -16. Since price of a cow cannot be negative, so y = 10.
Thus, ![x=\dfrac{480}{10}=48.](https://tex.z-dn.net/?f=x%3D%5Cdfrac%7B480%7D%7B10%7D%3D48.)
Thus, the total number of cows originally bought is 48.