Answer:
Last option (bottom right)
Step-by-step explanation:
The scientific notation for 0.002 is
(you move the decimal 3 to the right to get 2)
multiply the number of mustard seeds with this and you get 80. In scientific notation it is
(move the decimal 1 to the left to get 8.0)
Answer:
5
Step-by-step explanation:
You solve the equation
Given parameters:
Percentage gain = 300%
Selling cost last year = $2420
Unknown:
Selling cost this year = ?
Solution:
To solve this problem;
Profit percent = 
300 = 
3 = 
S- 2420 = 7260
S = $9680
To make a 300% gain, Jefferson Middle school needs a $9680 from fundraiser sales this year.
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.
Move everything to one side
Equation
2x^2 - 5x -3 = 0
Sq rt means square root or radical sign
Quadratic equation-> x = - (b) +/- Sq rt b^2 -4ac
2a
- (-5) +/- Sq rt (-5)^2 - 4(2)(-3)
2 (2)
5 +/- Sq rt 25 + 24
4
Sq rt 29 = 5.38
5 + Sq rt 29 divides over 4 and 5 - Sq rt 29 divides over 4.