Answer with explanation:
To find the quotient and remainder ,using area model, when , 6,986 is divided by 8,we will use rectangles of different Dimensions or a single rectangle in this process.
As,width of rectangle will be same that is equal to 8, and Length will vary as how many rectangles you are drawing.
→One way is :
6986 ÷ 8= 873 = Quotient ,and 2=Remainder
So,we can draw a rectangle , having length = 873 unit and Breadth = 8 unit.
And Remainder = 2 Unit,which will be represented by two smaller rectangles.
→→There are other ways also.
You can draw many rectangles , having different Lengths and width of each rectangle being equal to 8.
For, example :
6986 =4000+ 2986
So, length of one rectangle=4000÷8 = 500 unit and Breadth = 8 unit
Length of another rectangle =2986÷8=373 unit and Breadth =8 unit
Quotient = 500 +373=873
and ,Remainder =2 ,which will be represented by two smaller rectangles.
→Now, using Divisibility rule , which states that,
Dividend = Divisor × Quotient + Remainder
6986=873 × 8 +2
As, quotient=873
remainder =2
Answer: The required constant of proportionality is 10.
Step-by-step explanation: Given that y is directly proportional to x, and y = 150 when x = 15.
We are to find the constant of proportionality.
According to the given information, we can write
When y = 150 and x = 15, we get from the above equation that
Thus, the required constant of proportionality is 10.
Answer:
<em>X can equal 22.5 </em>
Step-by-step explanation:
I've set up the equation below:
With this equation, as any addition equation goes, we assume it to be like this:
A + B = C
so
C - A = B
that means,
The easiest thing to do is to make 2/3 have the same denominator as 8/9, we do this by...
So...
We now know that 5 over x equals 2 over nine. We can determine x by cross multiplying as follows:
So, x is 22.5, making the equation indeed solvable.
<em />
<em>Have a nice day, fam. This problem really worked my brain! Spread The Love.</em>