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:
0.68L per dispenser
Step-by-step explanation:
Big bottle contain 213L of soap.
Big bottle will fill 312 dispensers.
This means 1 each dispenser can take 213/312 litres = 0.68L per dispenser.
Answer:
6.33
Step-by-step explanation:
Here, we are asked to give a residual value at x = 3
This mean we are to predict the value of y at the point x= 3
To do this, what we need to do is to input the value x = 3 into the line of best fit equation.
The line of best fit equation according to the question is;
y=0.331986x+5.33286
Substituting x here, we have
y = 0.331986(3) + 5.33286
y = 0.995958 + 5.33286 = 6.328818
Question asks to give answer to the nearest hundredth and that is 6.33
<span>7x-6y=14
6x-y=-17
x = -4 y = -7 (SOLUTION) ; in ordered pair form (x,y) = (-4,-7)
</span><span>3x+8y=16
-9x-24y=-48
INFINITE SOLUTIONS: general form = (x,y) = ( x, -(3x/8)+2 )
Edited later:
</span>7x-6y=14
6x-y=-17
From second equation 6x - y = -17, we have y = 6x +17. Substitute this in the first equation to get
7x-6y=14
>> 7x-6(6x+17)=14
>> 7x-36x-102=14
>> 7x-36x=102+14
>> -29x=116
>> x=116/(-29)
>> x=-4
Now plug this value in y = 6x +17, to get
y = 6(-4) + 17 = -24 +17 = -7
So x = -4, y = -7 is the solution.
Answer: $380.75x0.075=28.55625
28.55625+380.75=409.30625
$409.30625~$409.31
Answer: $409.31
Step-by-step explanation:
