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balandron [24]
3 years ago
8

A recipe for cookies requires 1/3 cup of butter. Anneliese want to make 2/5 of the recipe. How many cups of butter should Anneli

ese use to make the cookies? Explain how you gave your answer.
Mathematics
1 answer:
Andrei [34K]3 years ago
6 0

Answer:

Anneliese needs \frac{2}{15} cups of butter to make \frac{2}{5} of the recipe for cookies.

Step-by-step explanation:

According to the statement, a recipe for cookies require \frac{1}{3} cup of butter and the amount of butter required to prepare \frac{2}{5} of the recipe is determined by the following simple rule of three:

x = \frac{\frac{2}{5}\,recipe }{1\,recipe}\times \frac{1}{3}\,cups

x = \frac{2}{15}\,cups

Anneliese needs \frac{2}{15} cups of butter to make \frac{2}{5} of the recipe for cookies.

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y=6 x=r



6÷2=3, so r=3.

hope this helps and sorry if it got confusing.
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Michael is designing a backyard garden. He would like the length of the garden to be 3 feet longer than the width. The area of M
pshichka [43]

Answer:

x+3 represents the ideal length of the garden that Michael would like. In the problem, it states the he would like the length of the garden to be 3 feet longer than the width.

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3 years ago
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Consider the polynomial function P(x) = 2x^3 - mx^2 + x - 5m. The remainder when P(x) is divided
Montano1993 [528]

Answer:

m = 57/14 = 4\frac{1}{14}

Step-by-step explanation:

The polynomial can be expressed as follows;

P(x) = 2·x³ - m·x² + x - 5·m

(2·x³ - m·x² + x - 5·m) ÷ (x - 2)

          2·x²

          (-m - 2)·x² + x

                   (-m - 2)·x

                      (m + 3)·x - 5·m

                      (m + 3)·x

                                      -5·m

The remainder = -5·m/(x -2)

Similarly, dividing by (x + 1) will give a remainder of -5·m/(x + 1)

But -5·m/(x -2) = 4×-5·m/(x + 1)

5/(x -2) = 20/(x + 1)

5(x + 1) = 20(x -2)

20x - 5x= 40 + 5

x = 45/15 = 3

2·3³ - m·3² + 3 - 5·m = 54 - 9m + 3 - 5m = 57 - 14m

(57 - 14m)/1 = (57 - 14m)/4

228 - 56m =57 - 14m

171 = 56m-14m =  42m

m = 171/42 = 57/14.

4 0
3 years ago
Bradley does lawn work on the weekends. He charges $12 per lawn and $5 per hour
RoseWind [281]

Answer:

The answer would be 'D'. 2 x 12 + 5h

Step-by-step explanation:

In this case, you know that Bradley mows two lawns and for every lawn, he charges $12. If you were not given the number of lawns mowed, you would've had something like 12x with 12 representing the charge for every lawn mowed and x representing the actual amount of lawns mowed. However, since you were given the amount of lawned mowed (2) you can put 12(2) or 12 x 2 instead of 12x.

With this, you can eliminate every answer that does not include 12 x2 or 2 x 12. (You can eliminate answers A and B)

Now for the number of hours for the bushes trimmed. The same rules apply to this.

The variable (h) would be included here since we were not given the information on how many hours it took. 5 represents the amount that he charges for every hour and h is the unknown amount. However, if we were also given the info for this like let's say 3 hours, it would be 5(3) instead of 5x. But that's a different story.

So with this let's combine the two terms. You have 2 x 12 and 5h so, in the end, you have: 2 × 12 + 5h

I hope my explanation wasn't too confusing. I tried my best to put it in simple terms

3 0
3 years ago
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