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Travka [436]
2 years ago
7

Harper is making pudding cups for a big celebration. She made 5 pounds of pudding, but she needs to separate the pudding into in

dividual 4-ounce cups. How many total individual pudding cups can Harper make?
Mathematics
1 answer:
Wewaii [24]2 years ago
4 0

Given :

Total amount of pudding made, T = 5 pounds.

Size of each cup, s = 4 ounces.

To Find :

How many total individual pudding cups can Harper make.

Solution :

Let, n number of pudding cups can filled with 5 pounds pudding.

We know, 1 pound = 16 ounces.

So, 5 pounds = 16×5 = 80 ounces.

Now,

n = \dfrac{80}{s}\\\\n = \dfrac{80}{4}\\\\n = 20 \ cups

Therefore, 20 cups can be filled with 5 pounds of pudding.

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Step-by-step explanation:

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3 years ago
Write an algebraic rule to describe the translation c (5,-4) c'(-2,1)
Sauron [17]
We can solve this by using the formula:
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5 0
2 years ago
Write the simplest polynomial function with the given roots 2i, square root of 3, and 4
Volgvan

Answer:

  • y = (x - 4)(x + 2i)(x - 2i)(x + √3)(x - √3) Possible answer
  • y = (x - 4)(x^2 + 4)(x^2 - 3)                    Possible answer

Step-by-step explanation:

The simplest answer is that 2i cannot be a lone root. It must have a twin that is - 2i

√3 has the same sort of rule. It cannot be a root all by itself. It also must have a twin, in this case -√3

So the answer must be

(x - 4)(x + 2i)(x - 2i)(x + √3)(x - √3)      <<< Possible answer

but this can be reduced even further.

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  • (x + 2i)(x - 2i) = x^2 - 4(i)^2
  • (x + 2i)(x - 2i) = x^2  + 4.               Remember i^2 = - 1

By a similar method (x - √3)(x + √3) = x^2 - 3

So the polynomial is reduced to

(x - 4)(x^2 + 4)(x^2 - 3)  <<<< Answer

If this is not among your answers and the  factored form is not either, please tell me what is.

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First let's rewrite it...

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Factor out a 2

2 (9a^2 + 10a + 4)
5 0
2 years ago
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