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MAVERICK [17]
3 years ago
5

Ms. Freund is making smoothies for her class. She adds 1/2 a cup of spinach for every 3 cups of strawberries. Write an equation

she can use to determine the number of cups of spinach , s, she’ll need for b cups of strawberries
Mathematics
1 answer:
san4es73 [151]3 years ago
7 0
<h2>Answer:\dfrac{b}{6} cups of spinach</h2>

Step-by-step explanation:

We use unitary method to solve this question.

The unitary method is a method to solve a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.

Given that Freund requires \frac{1}{2} cups of spinach for 3 cups of strawberry.

So,Freund requires \frac{\frac{1}{2} }{3} =\frac{1}{6} cups of spinach for 1 cup of strawberry.

So,for b cups of strawberries,b\times \frac{1}{6}=\frac{b}{6} of spinach are needed.

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What two partial products would you add to find 513 x 46
Afina-wow [57]
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.
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