First, let me do the Mathematical part of that, and then I shall explain the theory behind it.
Mathematical part:
We are going to multiply 513 with 46. So the two partial products that we are going to choose are 40 and 6.
Multiply 513 with 6 first.
513
x46
--------------------------
18 (as 6*3 = 18)
60 (as 6*10 = 60; In 513, the digit at tenths place is 1, so 1*10=10)
3000 (as 6*500 = 3000; In 513, 5 is at hundredth place, so 5*100=500)
120 (as 40*3 = 120; since 4 is at the tenth place, so 4*10=40)
400 (as 40*10 = 400)
20000 (as 40*500 = 20000)
--------------------------
23598 (Add all of them)
Theory:
As you can see above that we have chosen the two partial products individually which are 6 and 40. Since 4 in 46 is in tenth place, we have to consider it 40 (since 4*10 = 40). One by one, we first multiply 6 with 513. Then we move to the tenth place, and multiply 513 with 40. At the end, we have added all the results we found after multiplication.
Check: If we check the multiplication result by using the calculator, we would get the same result (23598).
Another Method (instant):
513 * (40+6) = (513*40) + (513*6) = 23598.
Answer:
X= -34
Step-by-step explanation:
Answer:
1. 27.5 in.^2
2. 360 in.^2
Step-by-step explanation:
1.
A = bh/2
A = (4 + 7)(5)/2
A = 27.5 in.^2
2.
A = bh/2
A = (35 + 13)(15)/2
A = 360 in.^2
Perhaps it is July, I think it is the hotest month of summer.
x − 3y = 12
<span>2x + 6y = 60</span>
<span>x=12+3y</span>
<span>2(12+3y)+6y=60</span>
<span>24+6y+6y=60</span>
<span>24+12y=60</span>
<span>12y=60-24</span>
<span>12y=36</span>
<span>y=36/12</span>
<span>y=3</span>
<span>and since the only answer you have with y being 3 is 21,3 the answer is D.(21,3)</span>
