Let the numbers be 2x and 3x.
<u>According to the Question</u>,
⇒ 2x + 3x = 45
⇒ 5x = 45
⇒ x = 45/5
⇒ x = 9
<u>Now finding the values of both the number,</u>
⇒ 2x = 2 × 9
= 18
⇒ 3x = 3 × 9
= 27
<u>Hence, the value of both the number is 18 and 27 respectively.</u>
Answer:
1.23
Step-by-step explanation:
6pens cost=20p×6=120p
5pencils cost=12p×5=60p
total =6pens+5pencils
=120p+60p
=180p
⇒1rupee 80p
9514 1404 393
Answer:
split the number into equal pieces
Step-by-step explanation:
Assuming "splitting any number" means identifying parts that have the number as their sum, the maximum product of the parts will be found where the parts all have equal values.
We have to assume that the number being split is positive and all of the parts are positive.
<h3>2 parts</h3>
If we divide number n into parts x and (n -x), their product is the quadratic function x(n -x). The graph of this function opens downward and has zeros at x=0 and x=n. The vertex (maximum product) is halfway between the zeros, at x = (0 + n)/2 = n/2.
<h3>3 parts</h3>
Similarly, we can look at how to divide a (positive) number into 3 parts that have the largest product. Let's assume that one part is x. Then the other two parts will have a maximum product when they are equal. Their values will be (n-x)/2, and their product will be ((n -x)/2)^2. Then the product of the three numbers is ...
p = x(x^2 -2nx +n^2)/4 = (x^3 -2nx^2 +xn^2)/4
This will be maximized where its derivative is zero:
p' = (1/4)(3x^2 -4nx +n^2) = 0
(3x -n)(x -n) = 0 . . . . . . . . . . . . . factor
x = n/3 or n
We know that x=n will give a minimum product (0), so the maximum product is obtained when x = n/3.
<h3>more parts</h3>
A similar development can prove by induction that the parts must all be equal.
Answer: Our required linear equation would be 
Step-by-step explanation:
Since we have given that
Number of cups = 150
Cost = $20
Number of cups = 400
Cost = $45
Let x be the number of cups, y be the cost .
We will use "Equation of line using Two point slope":
Hence, our required linear equation would be
