Answer:
100-mn
Step-by-step explanation:
He bought m books for n dollars each to know the amount of the books he bought,it means m×n=mn
He had $100 intially so to determine the amount left
100-the amount spent
100-mn
Therefore the answer is 100-mn
Quotient is basically the answer you get when you divide two numbers.
For example, the quotient of 6 and 3 is 2 because when I divide 6 by 3, I get 2.
Quotient of x and 3 =
![\frac{x}{3}](https://tex.z-dn.net/?f=%20%5Cfrac%7Bx%7D%7B3%7D%20)
Eight less than quotient of x and 3 is
![\frac{x}{3} - 8](https://tex.z-dn.net/?f=%20%5Cfrac%7Bx%7D%7B3%7D%20-%208)
.
Hence, the answer is C.
General Idea:
The Rules for Transformations of Functions are given below:
If f(x) is the original function, a > 0 and c > 0; Then
![f(x)+k \; \; shift \; f(x) \; UPWARD \; k \; units\\\\f(x)-k \; \; shift \; f(x) \; DOWNWARD \; k \; units\\\\f(x+h) \; \; shift \; f(x) \; LEFT \; h \; units\\\\f(x-h) \; \; shift \; f(x) \; RIGHT \; h \; units\\\\-f(x) \; \; REFLECT \; f(x) \; in \; the \; x-axis\\\\f(-x) \; REFLECT \; f(x) \; in \; the \; y-axis\\\\a \cdot f(x), \; a>1 \; STRETCH \; f(x) \; vertically \; by \; a \; factor \; of \; a\\\\a \cdot f(x), \; 0](https://tex.z-dn.net/?f=%20f%28x%29%2Bk%20%5C%3B%20%5C%3B%20shift%20%5C%3B%20f%28x%29%20%5C%3B%20UPWARD%20%5C%3B%20k%20%5C%3B%20units%5C%5C%5C%5Cf%28x%29-k%20%5C%3B%20%5C%3B%20shift%20%5C%3B%20f%28x%29%20%5C%3B%20DOWNWARD%20%5C%3B%20k%20%5C%3B%20units%5C%5C%5C%5Cf%28x%2Bh%29%20%5C%3B%20%5C%3B%20shift%20%5C%3B%20f%28x%29%20%5C%3B%20LEFT%20%5C%3B%20h%20%5C%3B%20units%5C%5C%5C%5Cf%28x-h%29%20%5C%3B%20%5C%3B%20shift%20%5C%3B%20f%28x%29%20%5C%3B%20RIGHT%20%5C%3B%20h%20%5C%3B%20units%5C%5C%5C%5C-f%28x%29%20%5C%3B%20%5C%3B%20REFLECT%20%5C%3B%20f%28x%29%20%5C%3B%20in%20%5C%3B%20the%20%5C%3B%20x-axis%5C%5C%5C%5Cf%28-x%29%20%5C%3B%20REFLECT%20%5C%3B%20f%28x%29%20%5C%3B%20in%20%5C%3B%20the%20%5C%3B%20y-axis%5C%5C%5C%5Ca%20%5Ccdot%20f%28x%29%2C%20%5C%3B%20a%3E1%20%5C%3B%20STRETCH%20%5C%3B%20f%28x%29%20%5C%3B%20vertically%20%5C%3B%20by%20%5C%3B%20a%20%5C%3B%20factor%20%5C%3B%20of%20%5C%3B%20a%5C%5C%5C%5Ca%20%5Ccdot%20f%28x%29%2C%20%5C%3B%200%3Ca%3C1%20%5C%3B%20SHRINK%20%5C%3B%20f%28x%29%20%5C%3B%20vertically%20%5C%3B%20by%20%5C%3B%20a%20%5C%3B%20factor%20%5C%3B%20of%20%5C%3B%20a%5C%5C%5C%5C%20)
![f(ax), \; a>1 \; SHRINK \; f(x) \; horizontally \; by \; a \; factor \; of \;\frac{1}{a} .\\\\f(ax), \; 0](https://tex.z-dn.net/?f=%20f%28ax%29%2C%20%5C%3B%20a%3E1%20%5C%3B%20SHRINK%20%5C%3B%20f%28x%29%20%5C%3B%20horizontally%20%5C%3B%20by%20%5C%3B%20a%20%5C%3B%20factor%20%5C%3B%20of%20%5C%3B%5Cfrac%7B1%7D%7Ba%7D%20%20.%5C%5C%5C%5Cf%28ax%29%2C%20%5C%3B%200%3Ca%3C1%20%5C%3B%20STRETCH%20%5C%3B%20f%28x%29%20%5C%3B%20horizontally%20%5C%3B%20by%20%5C%3B%20a%20%5C%3B%20factor%20%5C%3B%20of%20%5C%3B%5Cfrac%7B1%7D%7Ba%7D%20)
Applying the concept:
In the function y=5x^2-2, the effect that the number 5 have on the graph, as compared to the graph of y=x^2 is given below:
C.it stretches the graph vertically by a factor of 5
This question is based on least common multiple method.
As given in the question,
Aunts are taking pictures in group of = 5
Uncles are taking pictures in group of = 10
So we have been asked what is the minimum number of aunts Sana have.
As we have been given that the number of aunts and uncles is equal so to find the minimum number of aunts we will apply the least common multiple method.
So we get LCM of 5,10 as 10
Hence there are minimum 10 aunts.